{"text":"Question: Calculate prob of picking 2 s and 1 k when three letters picked without replacement from skss.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from rrrrrrrrrxrrr?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w - 78 = -6*w - m, -3*w = -2*m - 124. Suppose 5*p + 3*r = -w, 1 = -2*r - 9. Let x(j) = 8*j**2 - 5*j**2 + 3*j**2 + 4*j + j**3 + 6 + 4*j. What is x(p)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/(z\/(z*z\/(z*z*z\/(z\/z**(1\/2))*z))*z)*z**(-1\/4)*z)**(-33)\/((z*z**(-2)\/z)\/((z\/((z*z*z**(1\/5)*z)\/z))\/z))**(-2) assuming z is positive.\nAnswer: z**(1163\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 56735948 to the power of 1\/5, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 2, c: 3, r: 4}. Give prob of sequence crc.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 331949*f**2*h*n*u - 832*f**2*n*u + 34*f**2*n - 4*f*u - 2*h*n**2 - 2*n**2*u wrt h?\nAnswer: 331949*f**2*n*u - 2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.2*0.51603.\nAnswer: -0.103206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -149 - 95*f**3 - 4*f + 5*f + 150 wrt f.\nAnswer: -570*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 85369062 to the power of 1\/5, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(95) + sqrt(95) + sqrt(95)*-2*-5 + (sqrt(95) - sqrt(95)*-1)*1)\/((sqrt(1125) - -1*sqrt(1125))\/(1*-2*sqrt(9))))**2.\nAnswer: 3724\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 41\/64960 and 75\/1792.\nAnswer: 259840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*-4*(-25)\/100.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-5)\/(30\/(-4)))\/((-6)\/(-9)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -779645*f**2 + 5486*f + 2743. Let g(y) = -853*y**2 + 6*y + 3. Calculate 5486*g(x) - 6*n(x).\nAnswer: -1688*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 33 - -75?\nAnswer: a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3176820 is divided by 99273?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 48281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -k**2 + 14*k - 18. Let f be z(13). Let i = f - -14. Let x = 46\/5 - i. What is the smallest value in 0.06, x, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 13042303 (base 6) to base 11.\nAnswer: 270868","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n = 2*c - 7*c - 80, n - 46 = -5*c. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 7680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 325038 is divided by 97?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (-6*x - x - 2*x)*(-2 + 3 - 3)*(2 - 2 - 3*x) as o*x + m + l*x**2 and give l.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -4*u**2 + 2*u + 2. Let a(q) = q**3 + 3*q**2 + 3*q + 2. Let r be a(-4). Let s(f) = 17*f**2 - 9*f - 8. Let h(d) = r*k(d) - 6*s(d). Factor h(x).\nAnswer: 2*(x - 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.1 and 496.02.\nAnswer: 49.602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -2512740*q. Let v(d) = -4*d. Calculate b(v(k)).\nAnswer: 10050960*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4955*d**3*l**3 + 225*d**3*l + 2*d**2*l**3 + 7*d**2*l**2 - 2*d*l**3 wrt l.\nAnswer: -29730*d**3 + 12*d**2 - 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -m - 18. What is o(-37)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yyf when three letters picked without replacement from {a: 11, f: 2, y: 2}?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*k - 18*k - 43*k)*(3*k**4 - 59*k + 71*k - 4*k**4).\nAnswer: 54*k**5 - 648*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 29651?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in twenty-seven fifths of a century?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 4304914519 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + 12 - (-23 - -43) - 3?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -35*q**3 + 2*q**2 - 2*q - 4. Let s be a(-1). Do 34 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 104*x + 14 = 123*x - 24 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1\/2  (b) -6.397  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 52965*w**4 - 2*w + 13614507?\nAnswer: 211860*w**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + ((sqrt(1053)*-3 + 0 - (sqrt(1053) - (-4 + sqrt(1053)*-2 + sqrt(1053)))) + 3)**2*-6.\nAnswer: -157955 - 540*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = q - 6. Let r be f(8). Suppose 0 = 4*i + 8, -3 = 4*s - r*i - 19. Find the third derivative of 24*a - s*a**5 - 24*a + 4*a**2 wrt a.\nAnswer: -180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26261 = -22*m + 82771. Is m a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 50558\/(-374) + 2\/11. Let u be 9*-1*3\/(f\/10). Solve -q - c = 3*q - 3, -q + 6 = u*c for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q + 0 = -4, -q = -2*o + 6. Find the third derivative of 182*t**2 + 182*t**o + 12*t**6 - 376*t**2 + 2*t**6 wrt t.\nAnswer: 1680*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -966281581.1414542 - -975223957.14146. Let r = 8942359 - q. Let j = 17 + r. What is j rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + 5 + 5*-1*sqrt(1053)*2 + (0 + sqrt(1053))*4 + 3 + sqrt(1053) + 1 + -5)**2.\nAnswer: 26325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 37\/5 of a litre?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -47\/26158 and -19\/820.\nAnswer: 261580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {b: 4, a: 1, c: 5}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*h - 2*i + 8 = 13, 2*h = -2*i + 20 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = y**2 + 15*y + 65. Let n be p(-12). Let l = 50 - n. Suppose 2*a + 228 = l*a. Is a a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 141205.1 + -141205. Let m = -1.4 + -0.6. Let w = 5.6 - 6. What is the closest to j in m, w, 1\/56?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -24490 divided by -4898.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 332.891784 rounded to two decimal places?\nAnswer: 332.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 5, m: 2, k: 8, p: 1, g: 1}. What is prob of sequence kump?\nAnswer: 1\/714","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -191719*a**3*u**3 + 6*a**3*u**2 + 5*a*u**3 + 2*a*u**2 + 10467*a wrt a.\nAnswer: -1150314*a*u**3 + 36*a*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:33 AM and 7:42 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-1)\/((-1)\/(-19)))\/(-1). Let r = z + -10. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -2, 2\/3, 0.6 in descending order.\nAnswer: 2\/3, 0.6, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*g - 4 = -26 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 354203731 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 14\/5?  (a) 0.4  (b) -3  (c) 3\/4  (d) -5  (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 2*i = 4*y - 2474, 0 = y - i - 621. Let a(d) = -2*d**2 - 66*d - 14. Let p be a(-24). Let z = y - p. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h + 3*g = 395, 0 = -4*h + 3*h - g + 81. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*s**2 - 2002786*s + 12016788.\nAnswer: -2*(s - 6)*(s + 1001399)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find t such that -t**2\/6 + 405*t\/2 - 1213\/3 = 0.\nAnswer: 2, 1213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 148542 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*f**2*k**4*q - 3*f**2*k**2 + f**2*k + 59*k**4 + 2*q - 3 wrt k.\nAnswer: 48*f**2*k*q + 1416*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 3) to base 11\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.0188?  (a) 370  (b) 4  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*t - 18*t = -4. Let i(o) be the first derivative of -2*o**3 - 3*o - 2. Let w(a) = -7*a**2 - 4. Determine t*i(v) - 3*w(v).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nuqqpnupainppii. What is prob of picking 1 q, 1 n, and 2 p?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vvxxxxvxxx. What is prob of sequence xvv?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2394513 and 4411.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -15, 16, -5, -3, -9, -18, -12 in increasing order.\nAnswer: -18, -15, -12, -9, -5, -3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -47*r**2 - 125*r - 11. What is m(-3)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 15017 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 2*k - 15 = -18, -l + 3 = -4*k. Suppose 9\/2*q**5 - 6*q**3 + 3\/2*q + l*q**2 + 0 - 3*q**4 = 0. What is q?\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve u - 5*g + 78 = 63, -4*g + 16 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vaavvvajaajazjz. Give prob of picking 1 j, 1 a, and 1 v.\nAnswer: 72\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11 - 122221122111011?\nAnswer: -122221122111022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 3*r**2 + 17*r - 17. Let a be (-2 - -1) + 3*6. Let p(k) = 3 + 1 - 6*k - 3 + 5 - k**2. Give a*p(c) + 6*g(c).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (-20)\/30*(-1)\/(-2)*3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 + 0)*(-21 - -18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x**4 + 18*x**3 + 45*x**2 + 24*x = 0. What is x?\nAnswer: -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 1 p when two letters picked without replacement from wwwwppwrwrpwwxwwp.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g + 4*w + 33 - 10 = 0, 8 = -4*g - 4*w for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ghhb when four letters picked without replacement from kkcbbhggghgcg?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7837.23 millennia to centuries.\nAnswer: 78372.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 313 - -188. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*w + w + 4*w)*(1 + 2 + 0 + (1 - 5 + 2)*(2 - 1 + 1)) in the form l*w + p and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 2\/5*(17 - (-6)\/12) + 98\/(-2)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -42 times 0.1?\nAnswer: -4.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 828735444 to the nearest integer?\nAnswer: 28788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 5*v - 1. Let j(m) = m. Calculate 3*j(f) + s(f).\nAnswer: 8*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 165*m - 10. Let w be v(0). Let d(z) be the third derivative of z**4\/12 - 22*z**2. Calculate d(w).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 70 - 70.00043. What is l rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 220120 + 12112?\nAnswer: 1010002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -8.08  (b) 1  (c) -3\/88  (d) -2  (e) 0.4  (f) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k and 1 s when three letters picked without replacement from {m: 2, s: 1, q: 4, k: 4, i: 2, v: 2}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 30\/6750*-18*25\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 4 + 1)*(-2 + 0 + 0)*(66*i - 8499 + 8499).\nAnswer: -264*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 81238 + -81239. Let l = 4 + -7. What is the closest to 2 in q, 0.02, l?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 138*o**2 + 137*o**2 - 436*o**2 + 142*o**2.\nAnswer: -19*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/(-30))\/(15\/50)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 4*-6*(-6)\/72. Which is the nearest to 2\/13?  (a) -4  (b) r  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -10331, -9420, -8505, -7586?\nAnswer: -6663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (8\/(-10))\/((-4)\/30). Suppose -5*q = -3*c - c + 16, -2*c + 8 = q. Suppose -2*w - 5*d + 39 = 2*w, -c*d = -w - o. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -441*g = -450*g - 36 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -6 + 7 + 1\/1. Let b(u) = -6*u**3 + 4*u**2 - 3*u**d + u + 0*u**2. Determine b(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -191.74 - -191.89798. Round v to 2 decimal places.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -1 - -10*(-4)\/(-8). Suppose -h - k = -16. Solve 3*p = -p + h for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 1, s: 1, i: 1, c: 2, x: 2, p: 7}. Give prob of sequence sbc.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 10615252 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1880 and 4453955.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 861 - 826. What is the highest common divisor of x and 147?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14395?\nAnswer: 5, 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -658*s**2 + 39*s + 13 wrt s.\nAnswer: -1316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 + 15 + (8 - 5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + s - 72 = 0, 2*f - 4*s = 13 + 23. Let h = f + -10. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -574\/9 - -1217\/18. What is the common denominator of c and 85\/1188?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*h = -4*h + 297. What is the remainder when 74 is divided by h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 7, u: 1, s: 1, w: 3}. Give prob of picking 1 e and 1 s.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - 693 = 10*j. Let n = j - -69. Let c(l) = l**3 - 6*l**2 + 4. Calculate c(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2 - -7. Suppose 0*t - t + v = 0. Suppose 0 = t*x - 15 - 0. Solve -x*p - 16 = -5*g, -2*g + 10 = -2*p - p for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -2*l**3 + 5*l**2 + 5*l + 7. Suppose -15 = 5*j - 5*a, 3*j + 0*a = 5*a - 25. Let w(d) = d**3 - d**2 - d - 1. Calculate j*w(h) + q(h).\nAnswer: 3*h**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*y - 8 = -3*h, 3*y = -y + 8*h + 12 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 7834 - 7738. Solve 0 = 28*p - 12*p + x for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 24.49 to 0 decimal places.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1, 7, -5, -3\/8, 5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 849211?\nAnswer: 11, 77201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 10 and 42644?\nAnswer: 213220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (6816\/(-544) - -9)\/((-2)\/17)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 2*a - 0. Suppose -a*b = b - 95. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1 and 58.35.\nAnswer: 58.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = v**2 + 53*v + 517. Give j(-22).\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:27 AM and 12:01 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -i. Let o(w) = 44*w**2 + 5*w**3 - 49*w**2 + 8*w**2 - 6*w. Calculate -6*k(a) + o(a).\nAnswer: 5*a**3 + 3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1628400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4 + 6. Let k be (1 - 0) + n - 1. What is the greatest common factor of k and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4.5 + 4. Let h = -30.1 + 30. Put h, n, 2 in decreasing order.\nAnswer: 2, h, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 128014*u**2 - 46*u + 961 wrt u?\nAnswer: 256028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {y: 3, a: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 minutes before 11:06 AM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10 + 1 + -5707*32\/8736 - (-9)\/(-21).\nAnswer: -31\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (441\/588)\/((-5)\/(-4))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -449*38640.1.\nAnswer: -17349404.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 129*g**2 + 5*g**2 + 157*g**2.\nAnswer: 291*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.2  (b) -0.5  (c) -5  (d) -244\/5  (e) 1\/3  (f) -1179  (g) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11316465 is divided by 71?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 116 - 126. Let b be (m\/(-6) - 1\/(-3))\/2. Solve q - b = t, 3*t = -5*q + 9 - 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -76 + 78. Let a be 201 + (1 - z)*4 + 1. What is the highest common divisor of 18 and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-32*k + 20*k - 41*k)*(0*k + 0*k - k) to the form b*k + t*k**2 + q and give t.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 20\/(5\/((-2)\/(-2)))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*t + 4*x = 14, -t - 63*x = -66*x + 17 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (2\/(-8))\/(1\/(-12)). Suppose 21 + q = -6*i. Does 6 divide (i\/2 - -1) + 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 232, 240, 248, 256, 264, 272?\n\"Answer: 8*g + 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 93.86 - 94.2809. Round a to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one sixth of a year in months?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 6*b**3 + 7 - 3 + 0*b**3 - 3 - 7*b**3. Let n be 1*(-2 + 1)*-1. Let g(o) = -5*o**3 - 2*o**2 + 4. What is n*g(u) - 4*s(u)?\nAnswer: -u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 20\/8 + (-42)\/(-28) - 1. Which is the second smallest value?  (a) -16\/7  (b) -5  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = -23*x + 35. Let g(c) = 2*c**2 - 3*c - 2. Give g(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -5050952*c**2 + 2592424 wrt c?\nAnswer: -10101904*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 3 + 0 + 1*-1. Let t(o) = -2*o - 2. Let c be t(-1). Suppose -7*l + s*l + 445 = c. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 440 and 176.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2 and 15182.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 16330, 16364, 16420, 16498, 16598, 16720?\n\"Answer: 11*j**2 + j + 16318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12328)\/(-10787) - 916\/(-560)*-4?\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 983 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -30790 + 2*s + 30790.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/10)\/((-26)\/(-52)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2 by 404054.\nAnswer: 1\/202027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-2\/23)\/w*(w\/(w\/(w\/(w\/(w\/w**0))))*w)\/w*w*w**(-9\/8)\/(w*w*w*w**9*w*w))**(2\/17) assuming w is positive.\nAnswer: w**(-2615\/1564)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express (-v + v - 3*v)*(-3*v**3 + v**3 - 164*v**2 + 98*v**2) as x*v**2 + p*v + k*v**4 + c + d*v**3 and give d.\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 142 is divided by 79?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o = -4*k - 758 + 752, 4*o + 14 = -2*k for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + (64 - (-46 + 61))?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 19\/4 of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -33877 + -3222?\nAnswer: -37099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2 - -8. Calculate the least common multiple of y and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -154, -222, -342, -514, -738, -1014?\n\"Answer: -26*c**2 + 10*c - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -f**3 + 4*f**2 - f - 1. Let h = 10 + -2. Suppose 2*g - g = h. Suppose 5*q - 7 - g = 0. Calculate r(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 + 6 - 2)*(-2 - 1 + 0)*(-4 + 4 - 2)*(1 - i**2 - 1).\nAnswer: -54*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q - 60 = -0*q. Let v be 4\/(-6) - 85\/q. Let w be -33 + 30 + (0 + 2)*3. Solve 10 = b - a - w*a, 0 = b - v*a - 13 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 55 a factor of 550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = 4*b - 9. Let y(g) be the second derivative of 198*g + 5\/6*g**3 - 2*g**2 + 0. Calculate y(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = f**2 + 25*f + 43. Determine h(-17).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lx when two letters picked without replacement from dlxyxxxa?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 946556 a multiple of 668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 61 in 19, 0.4, -2\/25?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*p, -s - 3*s + 8 = 4*p. Let c be ((-1)\/(-2))\/(2\/16). Suppose -c*q - 7*k - 17 = -2*k, -k - 7 = -q. Solve -q + 12 = -s*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6042?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -2*m**3 - 9*m**2 + 7*m - 7. Let l(t) = 11*t**2 - 6*t**2 + 0*t - 4*t + 4 + t**3 + 0*t**3. Calculate 4*c(x) + 7*l(x).\nAnswer: -x**3 - x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 7070 - 7090. Suppose 0 = -3*d + 1 - 13. Put -2, d, b in ascending order.\nAnswer: b, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.18467 rounded to two dps?\nAnswer: -2.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 34 - 48. Let c = -94 + 159. Let z = c + s. What are the prime factors of z?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 992 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 23233\/20 - 1162. Calculate the common denominator of -97\/48 and q.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1296816 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 204, 209, 218, 231, 248, 269?\nAnswer: 294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -174*x**3 - 52*x**2 - 329*x**3 - 341*x**3 + 842*x**3.\nAnswer: -2*x**3 - 52*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 161 = 5*b - 49, -4*b + 4*y + 168 = 0. List the prime factors of b.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -452 (base 15) in base 14?\nAnswer: -4db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 2*b - 4. Let l(s) = -1. Let a(i) = -j(i) + 6*l(i). Let w(h) = -381*h - 2669. Let x be w(-7). Let p(z) = -z - 1. What is x*a(k) + 6*p(k)?\nAnswer: -2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 30775?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.503129 weeks in seconds?\nAnswer: 2118692.4192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = 3*g + 5*r, 26 = 7*g - 9*g - 5*r. Solve 3*a = i + 9, -g*a + 3*i + 15 = a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -348 less than 209?\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 92 minutes before 7:09 AM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 0.4 times 0.0252\nAnswer: 0.01008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*(r*r**(-2)*r)\/r*r**(-7\/4))**(-22\/5) assuming r is positive.\nAnswer: r**(77\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/30 of a hour in minutes?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 264 minutes after 9:59 PM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*x**2 + 10321268*x - 10321272.\nAnswer: 4*(x - 1)*(x + 2580318)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -23343c (base 15) to base 5.\nAnswer: -412303312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 3  (b) -0.5  (c) -5  (d) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-6)\/5)\/((12\/100)\/(-1)). Solve j*o + 10 = -0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (146*g**3 - 6945 + 6945 + g**2)*(1 - 2*g - 1) in the form l*g**3 + q + i*g + n*g**4 + b*g**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 453 minutes before 11:14 AM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*g**3\/3 + 95*g**2\/3 + 76*g + 45.\nAnswer: (g + 1)*(g + 45)*(2*g + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 141.54392 days in weeks?\nAnswer: 20.22056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 1 - (-2)\/((-4)\/6) - -25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*b*b**5\/b*b**(2\/21))**(12\/19) assuming b is positive.\nAnswer: b**(512\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1920058 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 61 = 79. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 10\/7, 2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 101112112321 - -13?\nAnswer: 101112113000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.79?  (a) -1  (b) 2\/3  (c) -0.7  (d) -37\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3678 and 4800.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -19 in 1, 1\/58, 1\/6, 361?\nAnswer: 1\/58","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 6525 + -3916. What is the remainder when r is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 336403367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 57753 and 126?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 2  (b) -5  (c) -0.31  (d) 24  (e) 0.1  (f) -8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/(-16))\/(682\/(-264)).\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c + 4*c = -5. Let b be (-300)\/(-84) - (-20)\/14. Suppose 2*j = 4*g - 1354, -9*g = -b*g + c*j - 1333. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cg when two letters picked without replacement from scmsjsssmggcgcmpg?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -k**2 + 21*k + 15. What is the tens digit of w(15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 3*y**3 - 2*y - 3. Let g(w) = -3. Let z(f) = -1. Let h(k) = -6*g(k) + 17*z(k). Suppose 0 = 3*p - 2*p - 1. Let u = -75 + 78. What is p*v(n) + u*h(n)?\nAnswer: 3*n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express 25*j**3 + 7*j**3 + 11*j**3 - j**2 as t + d*j**3 + o*j**2 + r*j and give d.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x*x**(4\/3)*x)**(25\/3)\/((x*(x**(-2\/43)\/x)\/x)\/(x*x\/x**(-27))) assuming x is positive.\nAnswer: x**(25603\/387)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 8.685575ug?\nAnswer: 0.008685575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -11798585 times 0.1\nAnswer: -1179858.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -19*a**4 + 10*a**2 - 9*a + 9. Let z(d) = 9*d**4 - 5*d**2 + 4*d - 4. Let u(b) = -4*x(b) - 9*z(b). What is the third derivative of u(w) wrt w?\nAnswer: -120*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1b + -16?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 157 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 82*z**2 - 146*z**2 - 8 + 69*z**2.\nAnswer: 5*z**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1932 and 397992?\nAnswer: 397992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-917)\/(-1441))\/((-128)\/9856).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -510*b - 3*b**2 + 55 - 27 + 187*b - 27.\nAnswer: -3*b**2 - 323*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 10006695 equal to 10006739?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12 + 3 - 3854*g - 1 - 14.\nAnswer: -3854*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) be the second derivative of 0*l**2 - 7\/6*l**3 + 1\/1620*l**6 + 0 - 2*l + 1\/27*l**4 - 1\/135*l**5. Let m(f) be the second derivative of n(f). Factor m(j).\nAnswer: 2*(j - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 17\/5 + -41\/15. What is the biggest value in -2\/5, 0, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16863781.\nAnswer: 11, 113, 13567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = m - 2. What is d(-6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 112012112 - 20?\nAnswer: 112012022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 64*a**3 - 124*a**3 - 302*a**3.\nAnswer: -362*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*f + p = 26, 4*f = -0*f - 2*p - 8 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2741045 is divided by 374.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 = -5*a + 3*a. Calculate the lowest common multiple of a and 360.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r = -16 - 39. Suppose 64 = -q + 3*q. What is the remainder when q is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -12*p + 55. Give m(23).\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express y**2 - 1 + 1 + (-y**2 - 3 + 3)*(-11 + 15 + 20) as a + m*y**2 + v*y and give m.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*o + 4*o + 9*o + 0*o - o - 4*o.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in 2\/17, 3, -64, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 269, -1\/3, -13 in decreasing order.\nAnswer: 269, -1\/3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1008) + sqrt(1008)*-1 - sqrt(1008)) + (sqrt(175) - (sqrt(175) + 1) - sqrt(175))**2.\nAnswer: -2*sqrt(7) + 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 9 - 3. Let j be (2 - 1)\/(n\/2). Which is bigger: 2 or j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-15)\/38 + 2 + 18\/(-12).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x*x**0*x*x)**25*x*x*x**(-2\/3)*x\/(x\/(x*x**(2\/7)*x)))**(14\/11))**(1\/20) assuming x is positive.\nAnswer: x**(1651\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3715045 is divided by 506.\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.4  (b) -2  (c) 0  (d) 2\/13  (e) -5615  (f) -1\/2  (g) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -178 - 3502 = -32*s. Solve -2*y + 111 - s = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n - 36 = 6*u - u, -4*n - 18 = u. Let j(c) be the third derivative of -c**6\/120 - c**5\/12 + 5*c**4\/24 + 2*c**3\/3 - 13663*c**2. Calculate j(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b + 4*k - 12 = 2, 4 = 4*k. Suppose 484 = 3*v + b*o - 417, -2*v - 2*o = -594. List the prime factors of v.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 20 = -0*i + 5*i, 2*i = 8. Suppose 3*b = -3*d - 3, 0 = 3*d - 7*d - 3*b - 3. Suppose -c - 3 + 1 = d. Which is smaller: r or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -12 - -11.999874. Round y to five decimal places.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 51933928 to the nearest integer?\nAnswer: 7207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) be the first derivative of 22*f**5\/5 + 2*f**4 - 16*f**3\/3 - 2*f + 263. Find the third derivative of q(p) wrt p.\nAnswer: 528*p + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ssspppspppspss. Give prob of picking 4 p.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -3*o + 118. Let a be c(34). Suppose 12*g + 100 = a*g. Solve -3*z + 8*z + g = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 14.4 + -13.4. What is the second biggest value in b, -0.2, 5, -0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-4)\/(-7)*1\/2. Let v = 96.5 + -250. Let l = v + 153. Which is the third biggest value?  (a) -0.2  (b) m  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -c**2 + 7*c - 14. Let s(i) = 2*i**2 - 13*i + 29. Let w(l) = 6*s(l) + 11*u(l). What are the prime factors of w(0)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 45 + -42. Suppose 15 = u*z, 0*x - z = 4*x - 5. Suppose -3*f = -3*p + 48, x = -5*f + 8 + 7. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1111000011000010011100 (base 2) to base 15.\nAnswer: 52db89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f + 4*y = -10, -8 = 4*f - 189*y - 195*y + 380*y for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i = 3*y + 1, -7*i - 3*y = -2*i - 19. Suppose -2*s - 2*l + l + 4 = 0, 0 = -3*s + i*l - 7. Let b be 1\/(-5) + (2 - s). Which is bigger: 2 or b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 0.2, 0.7, 0.4, 1\/2, 4\/23?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -1 + 4 + 4 - 2*m. Let d be z(0). Let r be 2*(-1 + d - 4). Solve 5*h = h - r for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 64\/1653 and -77\/297585182?\nAnswer: 892755546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 93047 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.1  (b) -4  (c) -37  (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (2*sqrt(63))\/sqrt(9) - sqrt(56)\/(1*(sqrt(8) + sqrt(8)*-1 + sqrt(8))).\nAnswer: -3 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Do 0 and -4\/29 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 21203530 (base 7) to base 13\nAnswer: 4b01a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -14 + 0. Is (-228)\/n + 6\/(-21) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 2955*j. Let f(m) be the first derivative of m**3\/3 + 11407. Determine f(w(d)).\nAnswer: 8732025*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 181496429?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 4 and 1.81?\nAnswer: 7.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dx when two letters picked without replacement from dddxdddd?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8104 - 78820 = -12*a. List the prime factors of a.\nAnswer: 71, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (238*r + 1087*r + 2110*r)*(6 - 4 - 4) as v + x*r and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 3\/10  (b) 4  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = 5*a - 4. Let r be a*(1 + 27\/6). Let p = 25 + r. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (21 - 20)*(1 - -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -10110011011111 (base 2) to base 3\nAnswer: -120202110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k, 1 i, and 1 f when four letters picked without replacement from {w: 1, v: 3, f: 4, k: 5, i: 1}.\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 11*d + 40. Let w be q(-8). What is the common denominator of ((-140)\/w)\/(-7) + 5 and 57\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 107, 204, 277, 314, 303, 232, 89?\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = 3*o - 78 + 15, -h = 4*o - 59. Suppose 3*f - 6*p - o = -2*p, 0 = -4*p - 16. Let m = 42 + -37. Solve -2*s - m + 1 = f for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -4  (b) 1\/2  (c) 0.2  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - m - 599 - 351 = 0, -3*m = -15. Suppose q = -2*t + w, -5*q = 3*t - 6*t + 280. List the prime factors of t.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 1 w when two letters picked without replacement from mwwmr.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (1\/3)\/((-9)\/81). Let v be (3\/(-138))\/(s\/(-12)). Let y = 7 - 2. Sort v, -1\/4, y in ascending order.\nAnswer: -1\/4, v, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 less than -120\/36031?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**(-1\/9)*h\/h**(-2\/11) assuming h is positive.\nAnswer: h**(106\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 124110.\nAnswer: 2, 3, 5, 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 1693700, 6774993, 15243814, 27100163?\n\"Answer: 1693764*q**2 + q - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = f + 10. Let y be d(-7). Let x be 20\/(-6) + (-1)\/(-3). Let i = 5 + x. Solve n - k = 7, 0 = y*n + i*n - k - 27 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 27968 and 27.\nAnswer: 755136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1275.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 53, 25, -27, -103, -203, -327?\nAnswer: -475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 5 - 3)*(2 - 2 - 2*f) - 30*f - 208*f + 693 - 694.\nAnswer: -242*f - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 1324db7 (base 15) in base 9?\nAnswer: 27842581","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 273, 288, 289, 270, 225, 148, 33, -126?\nAnswer: -335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 4078 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -7 - (36\/3)\/(-4). Let o = 8 + -9. What is the smallest value in 2, n, o?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00025417767273 rounded to five dps?\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 18\/(-1503) + (0 - 0). Let t = 340\/501 + v. Which is smaller: t or -2\/423?\nAnswer: -2\/423","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 3*z + 16. Suppose -2*w + 3*o = 22, 2*w - o + 3*o + 2 = 0. Let k be p(w). Solve -k = 4*l - 5*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 2*x**3 - 9*x**2 + 9*x - 9. Let p(d) = d**3 - 4*d**2 + 4*d - 4. Suppose 4*l + 117 = 45. Let r be (-12)\/2 + l\/6. What is r*p(o) + 4*u(o)?\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j - o = -30, -3*j + o + 18 + 0 = 0. Let b(w) = -w**2 + 6*w + 3. Let q be b(j). What is the tens digit of q\/2 - 236\/(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -9781*b + 469701. Determine d(48).\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -108, -107, -106, -105, -104?\n\"Answer: v - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Are 164835\/2 and 82417 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t + 4*t = 11*t. Let f(p) be the first derivative of 1\/3*p**4 - 2\/3*p + t*p**3 - 2\/3*p**2 + 2\/15*p**5 - 3. Factor f(s).\nAnswer: 2*(s - 1)*(s + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26602 = 447*d - 49669 - 10894. Calculate the remainder when d is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -230 (base 10) to base 7\nAnswer: -446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3.2, 19, -1\/2, -4507, 0.5 in increasing order.\nAnswer: -4507, -1\/2, 0.5, 3.2, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -25, -22, 4?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:35 AM and 2:24 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 39, 123, 195, 249, 279, 279, 243?\n\"Answer: -w**3 + 91*w - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -7187, -9459, -13239, -18521, -25299, -33567?\n\"Answer: b**3 - 760*b**2 + b - 6429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 711055.6 millilitres?\nAnswer: 711.0556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*t + 76 = -76 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 416, -3, -4, -5 in descending order.\nAnswer: 416, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d = -2*d - 3*f - 39, 5*f + 113 = 3*d. Let o = d + -17. Suppose o = 4*x - 61. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 141416043 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 37*j + 5. Let s be i(43). Suppose -18*w + s = 24*w. Is 2 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(120)*-2 - sqrt(120))\/sqrt(4) + (sqrt(60)*-1)\/sqrt(2) + sqrt(30))\/(sqrt(80)\/((sqrt(968) - (sqrt(968)*-2 - sqrt(968)) - sqrt(8)) + sqrt(8))).\nAnswer: -132*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -3*p**2 + p. Let o(k) be the third derivative of -k**4\/12 - 12*k**2. Determine o(l(h)).\nAnswer: 6*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 4\/5, 67, -1621, -33 in ascending order.\nAnswer: -1621, -33, 4\/5, 3, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-38)\/(-10) - (-2)\/10. Suppose 15 = 5*w, -q - z*w = w - 21. Suppose -c = -4*c + q. What is the nearest to c in 2, 1, -3\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(500)*-3*5 + -3)**2 + 1 + 5.\nAnswer: 900*sqrt(5) + 112515","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find f such that 9*f**4\/4 - 1389*f**3\/2 + 212509*f**2\/4 + 71765*f + 24025 = 0.\nAnswer: -2\/3, 155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 14 + -2 + -27 + (-6 - 6)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*q + b + 23, 2 - 11 = 3*b. Let d be (-4)\/q*(-2)\/(-10). Suppose 12 = v - 2*g, 0*v + 5*g = 4*v - 33. What is the smallest value in v, -0.1, d?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 692\/35 - 144\/7. Let d = 207\/14 - 29\/2. Suppose n = 4*r - 16, 2*r + 4*n - 3 = 5. Which is the closest to d?  (a) 0  (b) i  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*b + g - 8 + 2, 5*b - 108 = -18*g. Solve b = m - 137 + 133 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r + 6 = 5*w - 11, 2*w - 8 = r. Suppose -d - 12 = -2*d + 3*c, 0 = w*c + 15. What is the second derivative of -2*j - 22*j**3 - 13*j**d + 16*j**3 wrt j?\nAnswer: -114*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) be the first derivative of 49*n**2\/2 + 42*n - 80. Does 35 divide c(17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) be the first derivative of -13*o**2\/2 + 11. Let q(u) = u. What is q(v(i))?\nAnswer: -13*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -205*k + 204*k = 4*j + 4, 2*j - 7*j = k + 9 for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor r**2 - 7860268*r + 15445953257956.\nAnswer: (r - 3930134)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -l**2 - 4*l - 1. Suppose -2*o = -7*o - 15. Let i be c(o). Suppose 3*v - i*j + 1 = -2, -4*j = -v - 1. What is the closest to 1 in v, 0.14, -4?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b + 19 = 2*t, 2*t - 4*b - 2 = t. Does 22 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5334 is divided by 145.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00624 rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + ((3 + sqrt(11))*-4 + 1)**2.\nAnswer: 88*sqrt(11) + 298","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -7131 at most -7132?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2000200 (base 3) to base 6.\nAnswer: 10500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 608 by 152.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 4\/565 and 107\/300.\nAnswer: 33900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**13*o*o**(-3\/2)\/o assuming o is positive.\nAnswer: o**(23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 532934808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/20)\/((-127)\/(-1778)).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = 3*o + 2*a, 5*o - 2*a = -2 - 1. Let s(y) = -362*y + 2538. Calculate the remainder when s(7) is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -80\/7 = -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 138915842 and 182?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 216326408.\nAnswer: 2, 23, 1175687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -18829169*h**2*q**2*y**3 + 1111429*h**2*y**2 - 4*h**2 - h*q**2*y**3 - q*y**3 wrt q.\nAnswer: -37658338*h**2*y**3 - 2*h*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2910 or 265?\nAnswer: -2910","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -60*l. Let f(w) = w. Determine f(s(n)).\nAnswer: -60*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 20 + 41. Let d = -38 + q. Suppose -242 = -5*h + d. List the prime factors of h.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vvvuuuvlvvvlvrlvlr. What is prob of picking 1 r, 2 u, and 1 v?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1886\/705 + 132\/47. Put 1, 1\/19, b, -12 in decreasing order.\nAnswer: 1, b, 1\/19, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) be the first derivative of -2*t**3 + 2. Let o(d) = -14*d**2. Let w(b) = 0 - 5*b**2 - 4 + 4. Let l(g) = 6*o(g) - 17*w(g). What is l(u(v))?\nAnswer: 36*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s = -2*s + 75. Suppose -s = -a - 7. Let f be (495\/(-12))\/(-55)*(-8)\/(-3). Calculate the highest common factor of f and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**(3\/5)\/n*n*n\/n**(1\/6)*(n**(-1\/4))**(1\/2) assuming n is positive.\nAnswer: n**(157\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 166944 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 5 + 0)*(-3*a - 2*a + 3*a)*((2*a - 4 + 4)*(-3 + 2 + 2) - 4 - a + 4 - 2*a - 5*a + 2*a).\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.0962192 rounded to one decimal place?\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*r - 12*p + 173 = -31, 11*p - 12*p = -2*r - 17 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -c**3 + 7*c**2 - 2*c - 8. Let f be l(6). Suppose 0 = 4*p - 0*p - f. Let o be (1\/p)\/(2\/(-6)). What is the closest to -3 in -2\/3, 0.3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -17*c - 0*c - 17 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 6*j**2 - 2*j. Let n be (-18)\/12*(-7 + -1). Suppose 4*r - 3*a + 4*a = -n, -3*a - 8 = -2*r. List the prime factors of g(r).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) be the second derivative of -u**3\/2 + u**2 - 49*u. Give f(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 20, -4, -6920 in increasing order.\nAnswer: -6920, -4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w**2\/7 - 416*w + 151424 = 0 for w.\nAnswer: 728","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 3*c**2 - c - 4. Let z(q) = -q**3 - 4*q**2 + q + 5. Give -3*l(j) - 2*z(j).\nAnswer: 2*j**3 - j**2 + j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-522)\/(-12) + (-6)\/(-4). Let u be -3 + (-1 + 1)\/1. Let i be 54\/w*(-20)\/u. Solve -i - 1 = 3*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-27)\/((-891)\/(-11)))\/((-2)\/72*1).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 3\/(33\/12 - 2). Let b = a + -1. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -47948*r**3 - 402*r**2 + 402*r**2 + 47985*r**3.\nAnswer: 37*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.2 - 0.4. Let a = 3 - 3.2. What is the closest to n in 0.3, a, -2\/11?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 115460 is divided by 1228.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 186a7b7 (base 12) to base 15\nAnswer: 6b1d3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-9)\/(-2) - (-4)\/8. Suppose -15 = f*q - 35. Suppose 0 = q*l - 20 - 12. What is the remainder when 21 is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 85809 is divided by 111?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 49 - 44. Let u = -7 + 2. Let z = u + 4.6. What is the nearest to 1\/3 in -2, z, k?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.08414 - -0.08400435. Round x to 6 dps.\nAnswer: -0.000136","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (13\/2 - (24 - 29)) + (-12)\/8. Suppose 946 + 54 = 4*m. What is the greatest common factor of m and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -113 + 117. Suppose 3*c - 682 = -5*j, 0 = 3*c - 2*c - r*j - 250. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -107\/16100 and -41\/3727950?\nAnswer: 1200399900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 20593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -k**3 + 15*k**2 - 13*k + 197. Give h(15).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -16 + 82. Let b = -50 + a. Solve 0*r - 4*r - b = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8464 + 18983 - 116*u**2 - 10519 + 28*u**2.\nAnswer: -88*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor t**2\/9 - 110*t\/9 - 37\/3.\nAnswer: (t - 111)*(t + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -43, -59, -97, -169, -287, -463, -709, -1037?\nAnswer: -1459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -1683072 divided by -70128\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -1. Let k(x) = 10*x + 7. Determine -k(m) - 6*r(m).\nAnswer: -10*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22 + (-3 - 1 - 10) - -6.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 6 in -0.2, 8, 17, 2, 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ocot when four letters picked without replacement from ccootoo?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -d**3 + 16415*d**2 - 16412*d - 32828.\nAnswer: -(d - 16414)*(d - 2)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -20023 + -1001?\nAnswer: -21030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 10014928 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 4, j: 7}. Give prob of sequence qjqj.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 14535780, 29071645, 43607508, 58143369, 72679228?\n\"Answer: -q**2 + 14535868*q - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 105136080 divided by 4?\nAnswer: 26284020","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Rearrange -64 - 3*d**2 + 0*d**4 + 2*d**2 - 4*d**4 + 5*d**4 to the form f*d**3 + j*d**2 + t*d**4 + r*d + o and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (922 - 897)*4\/5\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5581123 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 4\/5  (b) -119.5  (c) 50  (d) -27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 1 h when two letters picked without replacement from {z: 3, h: 2, b: 5}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/125 of a second in milliseconds?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 5785 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: Suppose -3*m = -5*g + 240, -7*g + m = -2*g - 240. Let h = g - 27. What is the remainder when h is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zobzzhbzvdzhzz. Give prob of sequence dbo.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1533*z**4 - 98 wrt z.\nAnswer: -6132*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {h: 1, m: 1, z: 3, f: 1, q: 5}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 772.1513 hours?\nAnswer: 2779744680000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -41, -37, -33, -29?\n\"Answer: 4*k - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 31*w**2 + 61*w**3 + 1 - 31*w**2.\nAnswer: 61*w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 513307716 to the nearest integer?\nAnswer: 801","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 3\/40 of a microgram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = c**2 + 38*c - 48. Let k(y) = y**2 + 34*y - 48. Let m(o) = -3*h(o) + 4*k(o). Suppose m(r) = 0. Calculate r.\nAnswer: -24, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 10, -22, 76, 3 in decreasing order.\nAnswer: 76, 10, 3, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.03  (b) -6  (c) 0.3  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = j + 19. Let x be c(-3). Suppose 0 = -0*r - 3*r + 12, 4*s - x = -r. Solve 4*y = -3*b + 3, s*b - 6 = y - 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kkkkyykkyykkyk.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.4 in 0.5, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 25166 is divided by 307?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 140\/21 + 5\/15. Solve 3*n - 8 = l*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is h in -4*h**5 + 704*h**4 - 11133*h**3 + 51311*h**2 - 43312*h + 10176 = 0?\nAnswer: 1\/2, 8, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) be the third derivative of g**6\/120 - g**4\/24 - g**3 + 7*g**2. Let q be u(0). Let i be (4\/(-4)*2)\/(q\/(-9)). Which is smaller: -11\/7 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 632670 is divided by 87?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 8 - 10. Let i be -3*(-3 - a)\/1. Let m be (-1)\/((-32)\/(-12) - i). Solve 4*g = n - 2*n - 4, 2*n + 3*g = -m for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 3*w**2 - 5*w + 5. Let x = -2 + 4. Let j be i(x). Let h(n) = n**3 - 8*n**2 + 8*n + 1. Is h(j) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -9*p**2. Suppose -v - 77 + 81 = 0. Let n(t) = 4*t - 5*t + 6*t + v*t. Calculate n(s(l)).\nAnswer: -81*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -4.7555 to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 277*x**2 - 267*x**2 - 2 + 551*x**2.\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 29719301 to the power of 1\/2, to the nearest integer?\nAnswer: 5452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 3*b - 27. What is a(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.02 + 0.28. Which is the closest to 0.1?  (a) 0.5  (b) z  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 108670\/39 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 17\/4040 and -51\/1060?\nAnswer: 214120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 43*w - 38*w. Suppose -11*m + w*m + 2233 = 0. What are the prime factors of m?\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 divided by 2230?\nAnswer: 1\/1115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3745148 divided by -6.\nAnswer: 1872574\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*b + 65*b + 1005 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of y**3*z**3 - y**3 + 35*y**2*z - 23*z**3 - 174*z wrt y?\nAnswer: 3*y**2*z**3 - 3*y**2 + 70*y*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1472.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -96088000 rounded to the nearest 1000000?\nAnswer: -96000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 7\/4 of a year?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -93, -182, -269, -354, -437?\n\"Answer: w**2 - 92*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 295*q - 769. Determine v(3).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 50*q**2 + q. Let z be p(1). Suppose -22 = -n - t, -3*t = 5*n - z - 49. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 7*t**2 + 10*t - 1. Let x(f) = 2*f**2 - 2*f + 1. What is l(i) + 4*x(i)?\nAnswer: 15*i**2 + 2*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -99, -97, -109, -159, -271, -469, -777?\n\"Answer: -4*o**3 + 17*o**2 - 21*o - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -624204 divided by -104034.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -53 + -1c?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) be the third derivative of 56*f**4\/3 + 181*f**3\/3 - 8*f**2 - 15*f. Differentiate r(j) wrt j.\nAnswer: 448","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6846157?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.3855898 rounded to 1 decimal place?\nAnswer: -4.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 98\/3 - (-44)\/33. Suppose 49 = -h*i + 41*i. Let g(j) = -3*j**2 - 11*j + 9. Let x(b) = -4*b**2 - 17*b + 14. Let c(m) = -7*g(m) + 5*x(m). Give c(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 7*i - 9. Let a be k(3). What is the highest common divisor of 84 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 2*t + 3*t, -29 = -5*p - 4*t. Let v = 28.5 - 228.5. Let s = 197 + v. What is the nearest to 0 in p, s, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + 0 + sqrt(19))*1 - ((sqrt(19) - sqrt(19)*-1) + -4 - (sqrt(475) + 1)**2).\nAnswer: 9*sqrt(19) + 476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 12, t: 7}. Give prob of picking 2 t.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -10*i - 3*i**3 + 3*i**3 - i**3 as o*i + t*i**3 + j + q*i**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1859503 + -2742.\nAnswer: -1862245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 0 - 491*w + 57*w.\nAnswer: -434*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(153) - (sqrt(153) + sqrt(153)*-2)) + sqrt(153) + sqrt(153) - sqrt(153))*2)\/(2*sqrt(9)*-6 + sqrt(9)).\nAnswer: -6*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-12)\/18)\/((-2)\/6). Suppose w*f = -0 + 2. Let r(z) = 4*z**2 + z. Let l be r(f). Solve q + 5*o - 8 = 2, -23 = -l*q + 2*o for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3\/(3*2\/526) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3.1281 - -57.1086. Let h = -44.1 + -9.9. Let i = l + h. What is i rounded to 3 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w + 3*w = 15. Let f be -1 + w\/((-10)\/(-4)). Let z be f - -2 - 0\/(-3). Solve z*m = -16 + 1 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) be the second derivative of -p**6\/90 - p**5\/120 - p**3\/6 - 2*p. Let j(b) be the second derivative of o(b). Find the second derivative of j(l) wrt l.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -8.335 + 11.335. Let d(q) = 2*q**2 + 5*q - 4. Let c be d(3). Sort -2\/7, a, c in descending order.\nAnswer: c, a, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2544\/4452*(-294)\/12.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 3*g + 2*g**2 - 3*g**2 - 4*g + 3*g. Let o be s(5). Let m(j) = -17*j + 29. What are the prime factors of m(o)?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2432533 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (-6*((sqrt(304) + 1 - sqrt(304)) + sqrt(19)))**2.\nAnswer: 72*sqrt(19) + 721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, 2, -5107, -2, 3, 0 in decreasing order.\nAnswer: 6, 3, 2, 0, -2, -5107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 191*c**3 - 3. Let i(o) = -93*o**3 + 1. Determine -9*i(a) - 4*y(a).\nAnswer: 73*a**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express -626 - 641 - 3*v + 1256 as w*v + j and give j.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - (-8 - 1 - -4 - (8 - 1)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.136*0.7427.\nAnswer: -0.1010072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -2\/17, -1\/5, 6, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 43*p - 293 = 160*p + 7078 for p.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10745 is divided by 10588.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*g + 2 + 4*g - 91*g**2 + 2 + 2*g**4 - 2 in the form n*g**2 + s*g + i*g**3 + u + h*g**4 and give n.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -77*144\/(-7128)*2*612\/(-16)?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u + 2*p = 3*p - 4, p = 4. Find the third derivative of u*q**5 - 11*q**2 + q**2 + 2*q**2 + 8*q**5 wrt q.\nAnswer: 480*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) be the first derivative of -t**8\/168 - t**5\/15 + t**2 - 4. Let p(i) be the second derivative of c(i). Find the third derivative of p(h) wrt h.\nAnswer: -120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -29*o**2 + 124*o**3 + 29*o**2.\nAnswer: 124*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 77*j - 156*j - 8 + 80*j. Let n be f(11). Put n, -3, 1 in increasing order.\nAnswer: -3, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 589329 - -279570. Let f = z + -370911. Let y be (-2)\/(-5) + f\/30. Round y to the nearest 1000.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1745380?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 368099.7ml in litres?\nAnswer: 368.0997","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -77*v - 255 = -80*v. Does 17 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*z - z + 4*k - 35, z = -2*k + 15. Let b(n) = -n**3 + n**2 + 2*n + z*n**2 - 2*n + 9*n - 9. Let q = -512 - -519. Determine b(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -119636*p**2 + 78 - 3*p**3 + 119636*p**2.\nAnswer: -3*p**3 + 78","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -116930, -117305, -117680?\n\"Answer: -375*a - 116555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 7 = 2*c, -5*c = -2*c - 4*f - 19. Let b be 398\/(-5) - 2\/c. Round b to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pguu when four letters picked without replacement from {x: 2, c: 4, u: 9, p: 1, g: 1}.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1925857, 1925873, 1925873, 1925851, 1925801, 1925717?\nAnswer: 1925593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -y**3 - y**2 + y - 1. Let z = -2 + 2. Let g be s(z). Let k be (-1*6)\/(g\/2). Solve 0 = -4*h + 4*d - k, d + 1 = 2*h + 7 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-31 - (1 - 3))\/(34\/(35 + -1))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-23 + 122 - 13 + 49)*(2 - 2 - t) as s*t + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b = 3*m + 27, 2*m - 8*b + 5641 = 5663 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 52 = -z + 5*z, -5*z + 2*y + 98 = 0. Calculate the smallest common multiple of z and 512\/32 - -2*2.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -204043131 (base 5) to base 3.\nAnswer: -1121000102000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -k. Let f(a) = -3922*a + 1918*a + 1924*a. Give f(u(m)).\nAnswer: 80*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -82 - -164. What are the prime factors of q?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 47 - (-29 - (-38520)\/459) - (-8)\/1?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 278210, 278138, 278062, 277982, 277898, 277810?\n\"Answer: -2*u**2 - 66*u + 278278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-5)\/(2\/(-2))*2. Let c(q) = -q**3 - 6*q**2 - 4*q + 7. Let r be c(-5). Solve r*h = -0*h + y for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 3, -18, 0.2, -3\/16 in decreasing order.\nAnswer: 3, 0.2, -3\/16, -1, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-85)\/(-51))\/((-2)\/6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.0823518ml to litres.\nAnswer: 0.0000823518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express a**3 + 5*a**3 - 7*a**3 - 3*a + 4*a**4 + 3*a**2 - 3*a**4 in the form x + o*a + f*a**3 + s*a**2 + g*a**4 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -51*m**2 - 3. Let k(p) = -1. Determine 12*k(f) - 4*z(f).\nAnswer: 204*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -3172 + -3?\nAnswer: -3175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -l**2. Let u(v) = -45810*v**2. Give u(k(y)).\nAnswer: -45810*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45*d + 99 = -36. Let l(t) be the third derivative of 5\/24*t**6 + 5\/336*t**8 + 6*t**2 + 0*t + 0*t**d + 0*t**4 + 1\/6*t**5 + 0 + 2\/21*t**7. Factor l(f).\nAnswer: 5*f**2*(f + 1)**2*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = i**3 + 11*i**2 + 11. What are the prime factors of l(-11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = l**2 - 2*l - 5. Let p be y(4). Let i be (-11)\/4 + -2 + 1\/(-4). Is 1*-587*(p + 1 + i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 2 and 2821.\nAnswer: 2823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -22\/213 and 54\/7.\nAnswer: 1491","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 1401, 2898, 4417, 5970, 7569, 9226, 10953?\n\"Answer: 2*b**3 - b**2 + 1486*b - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 7281*a**4 + 3*a**3 - 75413*a**2.\nAnswer: 174744*a + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express (-7 - 2*f + 70*f**2 + 81 - 63)*(3*f - 6*f - 2*f) in the form x*f**3 + k*f**2 + m*f + h and give m.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) be the first derivative of 2*c**3 + 70. Let u(w) = 4*w - w - w. What is u(a(v))?\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -5133 + 13363. What are the prime factors of q?\nAnswer: 2, 5, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 105, 74, 41, 6, -31?\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.48?  (a) -2\/101  (b) 0.1  (c) -7  (d) 0.2  (e) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Product of 104929 and 48.\nAnswer: 5036592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 334945662?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*x + 12*x - 3108 = 0. Let c = 277 + x. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6)\/21 - 3*(-6)\/63?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 178112 and 342848.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*r = 339 - 92. Suppose 9*s + r*s = 4136. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3.6 - 1.4. Let s = 4.9941 + n. Round s to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = 5*t - 9. Let f = 29 - 33. Sort -1, f, t in decreasing order.\nAnswer: -1, t, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/(n\/n**(-13)))\/(n**(-2)*n*n) assuming n is positive.\nAnswer: n**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 - 1 - 9 - (-186 - (-66 - -4)).\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 3646 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 113960 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2646 and 1108242.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + 2*((2 + sqrt(99) + -2 + 5)*-6)**2*-6.\nAnswer: -53571 - 12960*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 38 + 1 - 7 - (11 + 2 + -6)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1866, -3731, -5596, -7461?\nAnswer: -9326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 36918182866 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -1634, -3281, -4924, -6563?\n\"Answer: 2*h**2 - 1653*h + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -607314 at most -607314?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -419*j**2 + 2*j + 1560 wrt j.\nAnswer: -838*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1 + 2. Let m = -0.4 - 0.1. What is the nearest to 2 in y, -4, m?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -13*l + 6 + 4 + 6*l**2 - 5*l**2 + 3. Does 9 divide x(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -9398.398 + 9412. Let g = 13.8 - r. What is g rounded to 2 decimal places?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3733*g**3*p - 1421*g**3 + 88*g**2*p + 2*g*p + 6235*p wrt g?\nAnswer: -22398*p - 8526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 - 836\/(-77)) + -10.\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1277 - 2?\nAnswer: -1279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when ((-308)\/33 + (2 - (-7 - -3)))*-198 is divided by 56?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:00 PM and 2:16 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -11*n**3 + 5*n**2 - 11*n - 41. Let g(q) = 4*q**3 - 2*q**2 + 4*q + 14. Let i(d) = 8*g(d) + 3*p(d). Let j be 1\/5 - 2\/10. Give i(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-14 + (-4505)\/(-595))*7\/(-3) + 1?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 98 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6294?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4\/9?  (a) 3\/4  (b) -2.94  (c) 2  (d) -1\/10  (e) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*-2*2*(sqrt(77)*1 + sqrt(77)))\/(-4*(sqrt(1584) + (2*sqrt(1584)*-1 - sqrt(1584)) - sqrt(1584))).\nAnswer: sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = o**3 - 66*o**2 - 68*o + 276. Let y be t(67). Calculate the greatest common factor of 286 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, -1, 0.4, -2\/9 in increasing order.\nAnswer: -1, -2\/9, 0.4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 25\/4 of a microgram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -117 - -82. Let g = j + 36. Solve -6*c = -c + 4*b - 40, -4*c + 3*b = -g for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + -2 - (1 + -3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:22 PM and 6:47 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 93 and 775.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) be the first derivative of -251*h**4\/4 - h**3\/3 + 939*h**2\/2 - 1052. Find the second derivative of t(v) wrt v.\nAnswer: -1506*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -157, -317, -495, -697, -929, -1197?\n\"Answer: -a**3 - 3*a**2 - 144*a - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 350, 506, 770, 1142, 1622?\nAnswer: 2210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -38*f**3 + 8*f**2 - 21*f + 35. Is u(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3737419, -7474842, -11212265?\nAnswer: -14949688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 41\/2452444 and 77\/38.\nAnswer: 2452444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2 + (11\/(-4) - 0). Let w = 21 + -8. Let p = 15 - w. Which is the closest to -1?  (a) -3  (b) p  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2\/(4\/2006) - (-5 - -3). Is ((-4)\/(-6))\/(z\/333 + -3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -j**2 + j - 15. Let z(o) = -2*o**2 + o - 15. Let q(x) = -w(x) + z(x). Let t(c) = 107*c**2. What is q(t(p))?\nAnswer: -11449*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -266 in 1075, -4, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 2, f: 2, r: 4, w: 6, h: 3}. Give prob of picking 2 w and 1 x.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 6\/(-8) + (-15)\/(-4). Suppose f = -p + 5. Find the third derivative of -3*a**p + a**3 - a**5 + 3*a**3 - 4*a**3 wrt a.\nAnswer: -60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2677 - 4936. Let n = u - -13411\/6. Let j = -32189 + 1255442\/39. What is the common denominator of n and j?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -985*u + 46 - 84 = -1079*u + 56 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 3*d**2 + 2*d - 1. Let v(u) be the first derivative of -u**4\/4 - 2*u**3\/3 - u**2\/2 + u - 15. Let b be -2 + 5 + -14 - -8. Give b*v(f) - 2*h(f).\nAnswer: 3*f**3 - f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from joos. Give prob of sequence oso.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 223 and 37241.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1809256470?\nAnswer: 2, 3, 5, 7, 8615507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 3*y - 5. Let t = -29 - -47. What is the remainder when t is divided by g(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16 = -5*p + 3*f, -4*p + p - 3*f = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 2*z - 0. Suppose 96 + z = 5*b. Calculate the least common multiple of 2 and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -586*t - 12301. Let o be l(-21). Solve o*c - 4*n = -2 - 29, 5 = -3*c - n for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 59106628.\nAnswer: 2, 7, 2110951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/(-2))\/(-39*43\/(-20124)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 225 is divided by 80.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -d**3 + 6*d**2 + d + 6. Let c be v(6). Suppose -4*a + 5*a - 20 = 0. What is the remainder when a is divided by (44\/c)\/((-3)\/(-9))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 324 = -5*u - z, 2*u - 7*z + 134 = -3*z. List the prime factors of (-10)\/u - 412\/(-26).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 123\/260 and -15\/92.\nAnswer: 5980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 568 minutes before 2:22 AM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-203)\/(-224) + 285\/3040.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4142 - 842 = 60*d. Suppose 0 = 2*i - 23 - 7. Calculate the remainder when d is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.231879 nanometers in millimeters?\nAnswer: 0.000002231879","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 63 minutes before 10:05 AM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -4*t + 2. Let i be -8 + (8 - 4) + 3. Let q be x(i). Sort -1, 1, q in increasing order.\nAnswer: -1, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 424 minutes after 1:31 AM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -c + -bc?\nAnswer: -cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 83, 8, -5, 5 in descending order.\nAnswer: 83, 8, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f + 17 + 203 = 0. Let b = -1 + f. Calculate the remainder when -1*(3 - 2)*b is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 20728 (base 9) to base 16.\nAnswer: 3593","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1378 is divided by 508.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.069*-2.1.\nAnswer: -0.1449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -36.18 - -34.18. What is the second smallest value in -0.5, h, 2\/11, -15, -4\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -36484554*k**4 - 52473*k**2 - 6*k - 12 wrt k.\nAnswer: -875629296*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 4, -3\/4139, -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 3 * -45\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 292 divide 86198692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 4  (b) -7\/2  (c) -59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 4908313 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -9\/23, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (0\/10)\/(2\/(-1))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-20*(-18)\/1584)\/(70\/77).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3 + 41. Suppose -5*j + 39 = 4*k, k + 4*j = -3*k + g. Is 12 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/f**(1\/3)*f)**(2\/9)*((f*f**(1\/18)*f)\/f)\/(f*f**(-9)) assuming f is positive.\nAnswer: f**(509\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -23, 0.5, -2, -0.4, -11?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 120 and -2.\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -1\/3, 0.4, 1.12?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q + 30 = 4*m, 3*q = -m - 0*m - 35. Let i = -5 - q. Suppose i*x = -y + 6*y - 165, 0 = -2*y + 4*x + 72. Does 8 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -k**3 + 8*k**2 - 8. Let x = -6 - -14. Let z be f(x). Let l = z - -13. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -4*u**3 + 2*u**2 - 27*u - 2398. Calculate c(0).\nAnswer: -2398","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 d and 1 o when four letters picked without replacement from {o: 8, d: 5, e: 5}.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + -2 + (41 + -33 - (1 + 7)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -12705268.2 rounded to the nearest 1000?\nAnswer: -12705000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 22 (base 4) in base 15?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (18 - 51 - 19)*(3*r + r - 3*r)*(0 - 1 + 3).\nAnswer: -104*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 26735827?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 + 2*t)*(4 - 4*t**4 - 4).\nAnswer: -8*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 2549566 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide 160 by -34.\nAnswer: -80\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-2)\/(-28*(-1)\/(-97)) and -37\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.03 bigger than -378519?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -24, 2930 in decreasing order.\nAnswer: 2930, -1, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 8, n: 1, w: 1, c: 4, g: 3}. Give prob of sequence gcec.\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(684) + 0 + 1.\nAnswer: 1 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Product of 43 and -201.\nAnswer: -8643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 2 = x + 1, -2*t - 2*x + 2 = 0. Let s = 34 + -31. Suppose -m = -t*m - s. Let i(p) = -p**2 + p + 4. Determine i(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 960 and 2160?\nAnswer: 8640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 1, s: 3, x: 2, f: 8, e: 5, p: 1}. Give prob of sequence sse.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -636 divided by -159.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c**3 - 4090*c**2 - 356395*c - 352310 = 0. What is c?\nAnswer: -719, -98, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7691 = -68*v + 6807 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -6*((-12)\/16)\/(27\/24). Find the second derivative of 15*x - 5*x**u + 13*x**4 - 32*x wrt x.\nAnswer: 96*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 3 - 1 - (-4 - 2). Let c be -20 + -2 + y\/2. What is the remainder when 5 is divided by (-12)\/c*18\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q - 2*i = 0, -3*q - 2*q = i + 5. Let t be q - ((-2)\/(-3))\/(2\/(-6)). Calculate the smallest common multiple of 20 + (4 - 2)\/(t + 1) and 14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -2*m**3 - 29*m**2 + 5*m + 21. Determine n(-15).\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:02 AM and 6:43 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -y + 48 = 15*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 9911 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 87 - 61. Suppose c = 3*f - f. Suppose 3*t + 2*t - 3*s - 113 = 0, 3*s = t - f. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6957048 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*-2*-5*sqrt(21)*-1)\/(-6*((-1*sqrt(175) - sqrt(175))*-3 - sqrt(175))).\nAnswer: -sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 9 - -20. Let v(c) = -24*c - 4. Let g be v(-3). Suppose g = 3*w - 0*w + 4*y, -5*y + 57 = 2*w. Calculate the remainder when d is divided by w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2\/13  (b) -13  (c) -0.18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 29*o**2 - o. Let t be z(1). Let p = -10 + t. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 5, f: 11}. Give prob of sequence zz.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(-11\/5))**(-26\/7))**32 assuming r is positive.\nAnswer: r**(9152\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -4\/49  (b) 6  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(24) - sqrt(144)\/sqrt(6))*-1)\/(5*sqrt(300)) - ((sqrt(484) - (sqrt(484)*-2 - sqrt(484))) + sqrt(4))\/(sqrt(18)*-4).\nAnswer: 15*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -108*d**2 + 798*d**2 - 574*d**2.\nAnswer: 116*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 2*c = -16, -2*z + 5*c + 18 = -0*z. Suppose -z*u = -u. Solve d - 4 = u, y - 5*d + 13 = -2 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 + (-45 - (-41 - -18))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 179228 a multiple of 161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -3.8 from -2905196.07688.\nAnswer: -2905192.27688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2\/(-3)*12\/4. Let a(x) = x**3 + 2*x**2 - x - 2. Let p be a(c). Find the third derivative of 2*q**2 + q**3 + p*q**3 + 2*q**3 + 0*q**2 wrt q.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -292 + 297. Suppose -q*u = -x - 15, -3*x + 19*u - 16*u = -3. Solve n - 4*o = 4*n + 2, 4*n - x*o = -13 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -37169*q + 446053. Give h(12).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -498*m**3 - 3*m**2 - 11*m - 13. What is the lowest common multiple of n(-2) and 6?\nAnswer: 7962","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-21)\/(-2)*102684\/(-25074)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -14*t + 1 - 6*t + 10*t wrt t?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 5 = -3*n + 3*i, -n - 3*i = 15. Suppose n = -q - 4, 15 = 4*g - 3*g - 2*q. What is the remainder when (162\/45)\/((-2)\/(-10) + 0) is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -50 by -6.\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ppppppppopppppppppp. Give prob of sequence pp.\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -17 - -50. Suppose 151 + 80 = -3*b. Let c be (1\/(-1))\/(-4 + (-301)\/b). Calculate the greatest common factor of p and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ccccctctcccctccccc. Give prob of picking 1 c and 2 t.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) be the second derivative of 13*c**5\/20 + 13*c**4\/12 + 7*c. Let l(o) = -15*o**2 + 367*o**3 - 374*o**3 + 8*o**2. Calculate -11*l(p) - 6*v(p).\nAnswer: -p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) be the second derivative of -v**5\/20 - v**4\/3 + 7*v**3\/6 + 5*v**2\/2 + v. Let k = 37 - 42. What is u(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4127 - -4129. Solve 0 = -s + i - 9, 4*s - n*i - 16 = -44 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -2*b + 2. Let x(l) be the first derivative of 3*l**2\/2 - 3*l - 8. Calculate 4*d(m) + 3*x(m).\nAnswer: m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*l - 4*o + 76 = 0, 3*o = 4*l + 38*o - 30*o - 190 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -106*w - 9 - 44*w**2 - 18*w - 71. Suppose 2 - 12 = -2*x. Let j(y) = 9*y**2 + 25*y + 16. Let n(p) = x*d(p) + 24*j(p). Factor n(l).\nAnswer: -4*(l + 1)*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -3*f**3 - f**2 - 2*f. Let j(h) = -h**3 + h**2 - h - 1. Determine c(l) - 2*j(l).\nAnswer: -l**3 - 3*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f = 4*t - 334, -87 = -t - 0*t + f. Calculate the remainder when t is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 59, -7, 1 in descending order.\nAnswer: 59, 1, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 5257.5 - 5258. Let x(c) = c**3 + 7*c**2 + 4*c - 2. Let f be x(-6). Let t be -2 - (-3)\/f*8. What is the third biggest value in -0.3, t, d, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22783447 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -17250, -17324, -17514, -17874, -18458, -19320?\nAnswer: -20514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 31 - 22. Calculate the smallest common multiple of v and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + 0 + 6 + -13?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -l + 2. Let w be p(2). Suppose 5*i = 0, t + w*t = 2*i + 3. Let r(v) = 1 + v**2 + 0*v**2 - 2*v**2. Calculate r(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 265569.\nAnswer: 3, 88523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p*p**(-32)*p**13\/p)\/(p**(-12\/7)\/p*p)**(2\/15) assuming p is positive.\nAnswer: p**(-622\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -1  (b) -12  (c) -0.5  (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 32127, 64615, 97099, 129579, 162055?\n\"Answer: -2*a**2 + 32494*a - 365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 23, -753, -2851, -6931, -13653, -23677, -37663?\nAnswer: -56271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 2866108921 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4\/27 in 0, 1\/3, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -7 + 10. Suppose 5*i + 1 = -2*b - 0, h*i + 5 = b. Suppose 2909620 = b*y + 25909620. What is y rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -2\/101, 1, -0.5, 5, 0.2 in descending order.\nAnswer: 5, 1, 0.2, -2\/101, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 19.5 or -3\/4?\nAnswer: 19.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) be the third derivative of -1\/60*q**5 + 3*q**2 + 0*q**3 + 0 + 5\/12*q**4 + 0*q. Is a(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*((-1*sqrt(540))\/sqrt(12)*6 + 2)*-2)**2*-1.\nAnswer: -25984 + 1152*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 3352944 divided by 12327\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-9)\/(-4) - 7\/28. Suppose 0 = -a*l - 0*l + 4. Solve 4 + 11 = -5*h, -3*r - l*h - 12 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 536 is divided by 303?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 253332803 less than 13.26?\nAnswer: -253332789.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(sqrt(1377) + 1)**2 + (-2 + sqrt(1377))**2*6)*-6.\nAnswer: -8376 + 1836*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:07 AM and 11:29 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -2 - ((-37)\/2)\/((-4)\/(-8)). Let k = 75 - y. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3971740?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 7\/8 of a centimeter?\nAnswer: 8750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 - 3 - (3 - (10 - 5))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*b - 6, -f - 3*b + 103 = -146. Is f a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 3  (b) -1\/2  (c) 47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -12.5 and 2954565?\nAnswer: 2954577.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -876637*y + 405453?\nAnswer: -876637","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-1)\/f)**(-48)\/(f\/((f**(-3)\/f)\/f))**(-4\/5) assuming f is positive.\nAnswer: f**(504\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/((-128)\/(-112))*12\/11676*-4.\nAnswer: -2\/139","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 83\/125240 and -61\/30845.\nAnswer: 24922760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 70, 159, 244, 325?\nAnswer: 402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3 + 1. Let k be 5\/((-2)\/2 - c). Let -m**2 - m**2 - m**3 + k*m**3 - 2*m**3 = 0. Calculate m.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -10 - (32 - (0 + 3 + 4)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 7115 (base 8) to base 3\nAnswer: 12000121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -4*i - 11. Let a = i - -3. Is (-2 - a*7)\/1 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 302093846?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 124*p - 4107. What is l(33)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-141)\/(-6) + 3\/12*-2. Suppose -24*b = -n*b - 2098622. Suppose a = b - 11798622. What is a rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-46)\/(-12) + (4 + -2)*-2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -474428, -474427, -474426?\n\"Answer: s - 474429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vqvc when four letters picked without replacement from {v: 4, t: 1, q: 2, c: 3}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 557, 1115, 1673?\n\"Answer: 558*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 182843225*l**3 + 205327195*l.\nAnswer: 1097059350*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(11) - (sqrt(11) - (sqrt(33)\/sqrt(3))**2))*6 + -2 + 4.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = x**2 + 2. Let z = 9 - 9. Let d be m(z). Sort d, 3, -10 in increasing order.\nAnswer: -10, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -133 + 137. Suppose 0 = -m*t - 0*n + 2*n + 46, -4*n + 29 = 3*t. What is the highest common divisor of 143 and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 109*k - 30180. Determine c(277).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*f - 0*f. Suppose -c + 47 + 13 = f. What is the greatest common factor of 12 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 17\/2 of a kilogram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (z - z + 2*z**2)*(-2*z - z + 0*z) + (z**2 + 55*z**2 + 46*z**2)*(2*z - 4*z + 4*z) to t*z**2 + u + p*z**3 + g*z and give p.\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(1 + sqrt(605))**2.\nAnswer: 66*sqrt(5) + 1818","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = d**2 + 84*d + 661. Calculate c(-23).\nAnswer: -742","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -22 - -21.7. Let m = j - -3.3. Sort 3\/2, m, 5\/2 in descending order.\nAnswer: m, 5\/2, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(17) + sqrt(1377)*-3 - (sqrt(170) - (sqrt(170) + (sqrt(170) - sqrt(170)*3)))\/sqrt(10) - (sqrt(17) + -1 + -4 - -4*sqrt(17)*-3).\nAnswer: -17*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Is 202079 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -r. Let o(z) = -z**3 - 8*z**2 - 7*z. Let u be o(-7). Let i(a) = 6 - 6 + u*a + a. Calculate i(b(y)).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1 and -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6 - n + 9 - 11 + (0*n - 3*n + 0*n)*(2 + 1 - 2) + n - 3*n + 3*n + n - 3*n + n to the form i*n + k and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5556091366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 284034.\nAnswer: 2, 3, 47339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 80 and 860.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -h**3 + 4*h**2 + 3*h - 1. Let g be t(4). Suppose -2640 = -g*v + v. Calculate the greatest common factor of v and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((495\/6)\/5)\/(39\/312962) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 - (8 + 0) - (-23 - (-64 + 17))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (1\/(-3))\/(1\/(-93)). Suppose 4 = 2*p - 3*i - h, -83 = -5*p + 3*i. Suppose 0 = 5*g + 280 - 320. Calculate the highest common factor of g and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/(q\/((q\/(q*q**(1\/2)*q)*q)\/q*q)*q))\/q**(1\/6))**(-30)\/((((q\/(q**(-13)\/q))\/q)\/q)\/q**(-5))**(13\/6) assuming q is positive.\nAnswer: q**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 45 = -2*n - 2*n, -3*t = -5*n - 40. Suppose -4*s = -0*l + 4*l - 44, 0 = 4*l - t*s - 8. Is 18 a factor of ((-54)\/10 + l)\/((-2)\/(-90))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t - 5*h + 29 = 0, 4*h + 7 + 1 = 0. What is the highest common factor of 117 and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 3 = -t, -12*s = -15*s - 4*t - 12. Solve s = -x + 5 - 10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 18 and 264?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*w**2 + 328*w - 326.\nAnswer: -2*(w - 163)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express -223 + 223 + 6952*l**3 - 6948*l**3 - 351*l as f*l**3 + x + c*l**2 + v*l and give v.\nAnswer: -351","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2000001100221 + 1120?\nAnswer: -2000001022101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 72\/(-396) + (-4)\/99.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/7, 0.09, -2\/15, 5, -0.04 in increasing order.\nAnswer: -3\/7, -2\/15, -0.04, 0.09, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 10328, -0.1, -0.53, 6?\nAnswer: 10328","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b - u = b - 17, 3*u - 30 = -5*b. Sort -3, -14, b, -7 in ascending order.\nAnswer: -14, -7, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = m**3 + 21*m**2 - 749*m - 9141. Calculate b(-12).\nAnswer: 1143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 2 j when three letters picked without replacement from {q: 1, p: 1, o: 3, j: 4, z: 1, h: 4}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3988 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 9173?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-12)\/4 - -4) + (-2 - 0). What is the common denominator of p\/((-20)\/(-162)) - 18\/30 and 73\/30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**(2\/21)*(s*s\/(((s\/s**(-27))\/s)\/s*s*s*s))\/s*(s\/(s*((s\/s**(-3\/14))\/s)\/s*s))\/((s*s*s\/((s*s\/s**(-21)*s)\/s))\/s) assuming s is positive.\nAnswer: s**(-299\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kuxuuiitxiuuikxu. Give prob of picking 1 u and 1 x.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -7 + 4. Let x = -8981 + 8984. What is the closest to 3 in x, a, 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -200142325 (base 6) to base 13\nAnswer: -911213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -15257, -61203, -137755, -244895, -382605, -550867, -749663?\n\"Answer: 3*z**3 - 15321*z**2 - 4*z + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 2, s: 3, h: 4}. Give prob of sequence hms.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*u**3 + 31*u + 4*u**3 + 3*u**3 - 2*u**2 - 6*u**3 to the form v*u + j + p*u**2 + y*u**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 - ((-7 - -15) + -5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 3, -0.2, 0.03, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 496 minutes before 4:05 AM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -l. Let a be k(-5). Let h = -8 + a. Let x = 10 + h. Solve 3*r = x*r - 16 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 13*h + 8. Let w(c) = 9*c + 5. Let x(b) = -5*s(b) + 8*w(b). Let t(k) be the second derivative of 10*k**3\/3 + 2758*k. What is t(x(p))?\nAnswer: 140*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 - 3) + 6 + -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 1, 28, -11.\nAnswer: -11, 1, 3, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:13 PM and 12:01 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 100*t = 95*t. Solve -4*a = 5*i - a, 2*a = t for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:06 AM and 3:15 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = g**2 - 5*g + 7. Let s be f(2). What is the nearest to 0.1 in 1\/4, s, 3\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 63 = -133. Calculate the remainder when 32 is divided by f\/(-21) - (-1)\/(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = p**2 + 263*p + 5685. What is a(-25)?\nAnswer: -265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Product of 3368 and 0.36398.\nAnswer: 1225.88464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = y**3 - 7*y**2 + 8*y + 4. Let l(i) be the second derivative of i**3\/6 + 15*i**2 - 2*i. What is the remainder when l(0) is divided by c(6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2766 + 5359. Does 9 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -71731, -71293, -70855, -70417?\nAnswer: -69979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -14 - -21?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -215*v + 434. Let f be c(2). Find j such that 0 - 38\/11*j**f + 4\/11*j - 30\/11*j**3 - 14\/11*j**5 - 2\/11*j**2 = 0.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -60.147637 or -0.1?\nAnswer: -60.147637","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*l - k - 12, -48*l + 50*l + 160 = -7*k for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 84 + -84. Let n = -200 - -201. Suppose 4*m - 5*z = 2*m - 11, 5*m + 2 = 4*z. Solve -y + m + n = a for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 96 (base 12) to base 3\nAnswer: 11020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) be the third derivative of -5*t**8\/336 + 5*t**4\/24 - 9*t**2. What is the second derivative of i(a) wrt a?\nAnswer: -100*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23*q**3 - 676*q + 53*q**3 + 676*q + q**2.\nAnswer: 76*q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that 32*d**4\/3 + 544*d**3\/3 + 174*d**2 + 161*d\/3 + 16\/3 = 0.\nAnswer: -16, -1\/2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (10\/4)\/((-5)\/(-12)) + -6. Put -6, 4, 5, z in ascending order.\nAnswer: -6, z, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) be the second derivative of 1 + 0*n**2 + 49*n + 1\/6*n**3. Let q(i) = -2*i + 86. What is r(q(x))?\nAnswer: -2*x + 86","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 288 divide 12273509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.6 * 205252.61.\nAnswer: 123151.566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-seven quarters of a week in hours?\nAnswer: 1974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 52 a factor of 447623099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*p + p + 2*p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/(-2)*14\/28?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -13 + 23. Suppose -6 = -4*z + o. Is 1\/z - (-43)\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = 911451*z - 3645805. Determine x(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -107\/882 and 31\/3152?\nAnswer: 1390032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -45 divided by -132274.\nAnswer: 45\/132274","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 42 = -21*a + 153*a - 618. Solve a = -l - 5*w, w + 27 = 5*l - 0*w for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -269, 7, 1.\nAnswer: -269, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -299\/2 - -122. Find the common denominator of s and -51\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 30 + -25. Suppose t*k + 3*w - 31 = -0*k, 3*k - 25 = -5*w. Let u be -26*(10\/(-4) + 2). Solve 5*z - 2 = 2*g + u, -28 = k*g - 3*z for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -3*j + 5*m, 0*j + m = -5*j + 8. What is the smallest common multiple of 11 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2511667493?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*l**1*l)**(18\/5)\/(l**(2\/9)*l*l\/(l*l*l*l**(-8))*l)*l**(-3)\/((l\/(l\/((l\/(l**(-2)*l*l))\/l)*l))\/l*l)*(l\/(l\/(l*l**(-1)))*l)**(6\/13) assuming l is positive.\nAnswer: l**(608\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 6 - 3. Let x(l) = -l - l**q + 4*l**2 + 3*l - l. Calculate x(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 5*d**2 + 10*d + 11. Give h(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33*p + 2719*p**3 - 5*p**4 + 2726*p**3 - 75*p**2 - 12*p - 5480*p**3 = 0 for p.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:35 PM and 4:44 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 28 - 23. Suppose 4*l + 26 = 2*g, -g + n*l + 18 = 2*l. Is 3 + 2*(g - -101) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*l - 5*l + 2*l)*(-1 + 0 + 7)*(0 - 5 + 4)*(4 - 2 + 0)*(5 - 4 - 2).\nAnswer: -72*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/(r\/(r\/r**(-8))))\/r**11*r\/r**(-6)*r**4)**(5\/4) assuming r is positive.\nAnswer: r**(45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -7 - -10. Suppose 4*n + 4 - 23 = h, 5*n = -2*h + 27. Suppose 0 = -5*j + n. Solve -2*x - 12 = -5*p - j, -3*p + u = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 145980 and 120.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3298273937.\nAnswer: 7, 79, 121721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 126 = 4*a - 5*m, 26 = a + 5*m + 7. What is the remainder when 86 is divided by a?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4 + 6. Suppose -6*x + 7*x = s. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1254 and 4788?\nAnswer: 52668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -2 - -1446?\nAnswer: 1444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 9, j: 2}. Give prob of sequence jjss.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.005889 to 4 dps.\nAnswer: 0.0059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 2228830 rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1 + 3. Let k be n\/14 - 210\/49. Calculate the remainder when k\/(-18) + 845\/45 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 32370, 32365, 32360?\n\"Answer: -5*l + 32375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l - u - u + 329 = 0, 4*l + u = 262. Suppose 0 = -4*n + 83 + l. What are the prime factors of n?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 126770642 to the power of 1\/5, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l, 1 o, and 2 d when four letters picked without replacement from ioieoilddlloolelod?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 8+-5.3378\nAnswer: 2.6622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 410 and 37802.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 24\/(12\/(-64)*-4). Suppose 3*u + 16 = 6*u - 2*s, -z = -5*u + 2*s. Is 14 a factor of ((-102)\/(-4))\/(6\/u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -r**2\/3 - 1099*r\/3 + 1102.\nAnswer: -(r - 3)*(r + 1102)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -4*y**2 - 1185*y + 51. Let p(t) = -6*t**2 - 2369*t + 85. Calculate -5*b(s) + 3*p(s).\nAnswer: 2*s**2 - 1182*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 13 - (-11 + 0 - (-47 + 39)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x - 19 = -4*s + 9, -x = 4*s - 8. What is the third derivative of s*m - 3*m - 2*m**2 - 2*m**4 wrt m?\nAnswer: -48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -105*q**2. Let s(g) = -3*g**2 - 27065 + 27065. Determine u(s(d)).\nAnswer: -945*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 2, x: 2}. Give prob of sequence llxl.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 2054657 + -445?\nAnswer: 2054212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 438.5337 millennia to years.\nAnswer: 438533.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 176318 divided by -4.\nAnswer: -88159\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 10*g - 6*g - 368. Let u = g + -7. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 1494, 2921, 4278, 5565?\n\"Answer: -35*z**2 + 1532*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 71064 and 5922.\nAnswer: 71064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) be the second derivative of n**5\/20 + n**4\/3 + n**3\/6 - n**2\/2 + 8*n. Let w = 21 + -33. Let y = w + 8. Give c(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + a + 1 = 0, u + 4*u + 35 = -5*a. Let w(n) = -4*n**3 - 3*n**2 - n. Let g be w(u). Round g to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -4*b**2. Let l(u) be the first derivative of -u**2\/2 - 4. Calculate d(l(k)).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -93 - -48. Let o = 44.99844 + g. Round o to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17345 is divided by 3526.\nAnswer: 3241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) be the second derivative of 3*g**4 - 45*g**2\/2 + g. Let k(d) = 18*d**2 - 23. Let z(m) = -3*c(m) + 7*k(m). Differentiate z(a) with respect to a.\nAnswer: 36*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 225969, 225967, 225965?\n\"Answer: -2*s + 225971","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -y + 3*b + 199, 0*y + 4*y - 5*b = 824. Let g = -138 + y. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 32652897 = 32652897?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 52363390?\nAnswer: 2, 5, 541, 9679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(18) + (sqrt(18) - (-4*sqrt(54)\/sqrt(3))**2 - sqrt(18) - sqrt(18)) - ((sqrt(2) - sqrt(98)*1) + -6*sqrt(8)).\nAnswer: -288 + 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2 + -1 + -6 + -1. Let b(i) = 13*i - 15. Let c(p) = 7*p - 8. Let a(z) = g*b(z) + 11*c(z). Suppose 2*x + 2 = -k, -2*k - 3*k + 32 = -4*x. Calculate a(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -q. Let p = 29 + -20. Let k(v) = -10 + p + 1 - 2*v**2. What is k(h(o))?\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4870 - 4869. Let q = -2 - 0. Sort 8, q, n.\nAnswer: q, n, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 times -189\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -29*i + 1 + 3*i - 60*i - 47*i to the form b*i + h and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 32315.\nAnswer: 5, 23, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -10912, -23074, -35236, -47398, -59560, -71722?\nAnswer: -83884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*d = 5385*c - 5387*c + 26, -2*c = -4*d + 14 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 6*v - 5. Suppose 0 = -8*z + 5*z - 12. Suppose -3*j - 24 = 5*k, -5*k - 151 = -136. Let r(w) = -6*w + 6. Determine j*r(l) + z*n(l).\nAnswer: -6*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.074448903 rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 139664659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -101211020122022 (base 3) to base 11\nAnswer: -3279853","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3079409, -6158953, -9238497, -12318041, -15397585, -18477129?\nAnswer: -21556673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -r**3 + 4 - 1 - 4*r - 3.\nAnswer: -r**3 - 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 2765*t**2 + 3 - 2764*t**2 + 0*t + 4*t. What is u(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 280 divided by -40.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10899*y**2 + y - 10766*y**2 + 2*y**3 - 10*y**3.\nAnswer: -8*y**3 + 133*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 2*k + 4 = 0. Let d be (-10)\/(1 + -9 + 6). Sort 4, d, k.\nAnswer: k, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-432)\/(-180))\/(2\/((-40)\/6))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 68705 and 6040?\nAnswer: 755","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 5943 and 48779295.\nAnswer: 849","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -528 greater than -529?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -49*u - 56. Let f(j) = 10*j + 11. Let b(q) = -21*f(q) - 4*m(q). What are the prime factors of b(-6)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2\/7 - 4\/14. Let h be (-1 + 3 - q)\/2. What are the prime factors of 21\/6 + h\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 2*p**3 + 13*p**2 - p + 13. Let m be h(-6). What is the greatest common factor of m and 90?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ch when two letters picked without replacement from ciiaxthihxai?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:40 PM and 4:56 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -36.7*-5\nAnswer: 183.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.1  (b) -30  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3980*b**2 + 12*b + 3980*b**2 - 15*b**4 wrt b.\nAnswer: -180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 87 - 2991 = -11*i. What is the common denominator of -49\/2 and 27\/(-18)*130\/i?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 12431, 12459, 12513, 12599, 12723, 12891, 13109, 13383?\nAnswer: 13719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 10022201 (base 3) to base 9\nAnswer: 3281","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d**4 + 44*d**3 + 210*d**2 = 0.\nAnswer: -15, -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -q**3 - 3*q**2 + 4*q + 1. Calculate z(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-440)\/(-528))\/(1\/6). Solve 10 = w*f + 2*k, 3*k - 9 = 2*f + 6 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**(5\/3)\/p*p*p**(2\/11)\/p*(p*p**(-5))\/p*p*p*p\/((p*(p\/(p\/(p*p**(-1\/17))))\/p)\/p) assuming p is positive.\nAnswer: p**(-613\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -r**2 + 12*r - 8. What are the prime factors of m(8)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -9*l**3 + 4*l**2 - 4*l - 3. Let v(f) = -26*f**3 + 11*f**2 - 11*f - 8. What is -11*i(w) + 4*v(w)?\nAnswer: -5*w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -6*i**4 + 7 - 5 + 2 wrt i.\nAnswer: -24*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 11719648 and 168?\nAnswer: 246112608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g**25)\/(g*g**11))\/(g**(3\/2)\/(g**(-12)\/g)) assuming g is positive.\nAnswer: 1\/sqrt(g)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide -889015 by 5.\nAnswer: -177803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 = -3*s + 3*w + 7, s - 5*w - 16 = 0. Let h = 8 - s. Let b(j) = 2*j - 8. Let a be b(6). Solve 3*q = a*f - 13, -f + 14 + h = -5*q for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (6\/(-54)*0)\/(-1). Solve 3*d + 5*q - 20 = -c*q, -5*q = -d - 20 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1097 + 1099. Find n, given that 0 - 2\/13*n**g - 2\/13*n**3 + 2\/13*n**4 + 2\/13*n**5 + 0*n = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 220357006?\nAnswer: 2, 113, 211, 4621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 40*u + 280. Let l be o(-7). Let q(a) = 251*a - 1. Let m be q(2). Suppose 4*k - k - m = l. What is the remainder when k is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16436.\nAnswer: 2, 7, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*w**4\/3 + 254*w**3\/3 - 5264*w**2\/3 - 9496*w + 25344 = 0.\nAnswer: -6, 2, 32, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = g**3 + 14*g**2 - 13*g + 26. Let z be x(-15). Let u = -14 - -14.5. Which is the nearest to 1?  (a) 4  (b) z  (c) 3  (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in twenty-eight thirds of a week?\nAnswer: 94080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 7537 + -7534. Let q(i) be the second derivative of 0 + 2\/3*i**4 + 0*i**2 + 0*i**b + 21*i. Let l(p) = 7*p. Determine l(q(x)).\nAnswer: 56*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 38\/2 - 2*15\/6 and 436.\nAnswer: 3052","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) be the first derivative of -27\/5*c**5 + 48 + 0*c**2 + 5*c**3 + 0*c + 0*c**4. What is the third derivative of j(n) wrt n?\nAnswer: -648*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x = 1 + 3. What are the prime factors of (-348)\/(-9) + x\/(-6)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*c + 93190761 = 6466761. Round c to the nearest one hundred thousand.\nAnswer: -3900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4397581 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -63 - -63. Suppose -6*j + 63 = 117. Which is the nearest to 1?  (a) -1  (b) j  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -21986 - -21997. Let g(y) = y**3 - 10*y**2 - 2*y - 17. Calculate g(n).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -27 + 50. Let w(l) = -4*l + l + y*l. Let g(a) = 1066 + 1076 - 3215 - 2*a + 1073. Determine g(w(f)).\nAnswer: -40*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from yrnkrkk.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 28, 72, 138, 238, 384?\nAnswer: 588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4 + 7 - 7) + (-66 - -153) + -75?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 81.557 plus -9922?\nAnswer: -9840.443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -117, -5, -3 in descending order.\nAnswer: -3, -5, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = w**2 + 4*w + 5. Let n be p(-2). Suppose 4*r = 3 + 1. Does 18 divide -1*(n + r) - -40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -197 + 2080. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/4 - 1)\/(11\/4)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (0 - 8)*(-5)\/10. Sort -5, d, -4 in ascending order.\nAnswer: -5, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -32*t - 48. Let p be m(-11). What is the highest common divisor of 57 and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -164, -148, -130, -110?\n\"Answer: a**2 + 13*a - 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 0 = 3*q - 26, 5*o - q - 31 = 0. Sort 0, o, 1 in descending order.\nAnswer: o, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 350.257 - -7.447.\nAnswer: 357.704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (3 + -3)*(-1 - -3 - 1). Suppose v = 2*l + 3*y - 15, -5*y - 1 = -16. Suppose -2*h + h = -4*p - 89, 3*h + l*p - 222 = 0. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m = 7*m - 6. Let p(x) = x + x + 0 - m - 2. Is 6 a factor of p(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -18 - -52?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 43 + 562. What are the prime factors of q?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2745*l**2 + 12410*l - 5720.\nAnswer: -5*(l - 4)*(549*l - 286)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -194 - -938. Is j a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 25, 4, -4, -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -614*k + 290 = -759*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(-1\/4)*s*(s*s**(-3\/5)\/s)\/s)\/(s**0\/s*s*(s**(1\/4)\/s)\/s))\/(((s**1*s)\/s**(2\/7))\/(s**0)**(-43)) assuming s is positive.\nAnswer: s**(-57\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2\/219 - -227\/876. Let 0*j - m*j**2 - 3\/4*j**4 - 3\/4*j**3 + 0 - 1\/4*j**5 = 0. What is j?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q - 2*m - 24 = 0, -3*q - 8*m = -7*q + 80 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4 - (-7 - (2 - 10))) + 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -3 - 77174\/(-6) - 12\/(-18). Let h = p - -2383. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-7)\/(-7))\/(((-3)\/(-12))\/((-3)\/4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 138 - 141 = i - d, 0 = 5*i - 2*d + 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -341 + 159 + 159 + s**2 + 161 - 138.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*g**3*v**2 + 5*g**3*v + 50*g**3 - 41*g**2*v**2 + 2*g**2*v + 24*g*v**2 - 128*v**2 + 5313*v wrt v.\nAnswer: 4*g**3 - 82*g**2 + 48*g - 256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 17.047 + -2.757. Let m = v + -1.09. Let p = m + -12.49. Round p to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-9)\/(-39) + (2 - 2)\/(-1). Is -1 at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1106 is divided by 1061.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/7 - 23\/((-322)\/3162332) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -31*s + 6. Let c(h) = 88*h - 17. Let r(t) = 6*c(t) + 17*q(t). Let l(m) = -3*m + 2. Determine l(z) - 4*r(z).\nAnswer: -7*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let -n**3 - 149*n**2\/2 + 7352*n - 83214 = 0. Calculate n.\nAnswer: -134, 27\/2, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j = -c + 4*j + 303, 0 = -c - 2*j + 278. Let q be (3*(-24)\/(-27))\/(16\/c). What is the greatest common factor of q and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-68)\/(-48) + 6\/(-8). Let h = -1 - 8. Let v = h + 17\/2. Which is the nearest to v?  (a) y  (b) -4  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - 6 = q. Let w(o) = o**3 + 5*o**2 - 2*o - 7. Let l be w(-5). Suppose 4*t - 2*m = 0, -m = t - q*m + l. Solve -15 = 4*k + t for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3\/172 - 1181\/86. Find the common denominator of l and 73\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -9 + 6c1?\nAnswer: 6b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*2\/4*(-2)\/(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 47115\/3559 bigger than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v\/((v*v*v**(-15))\/v)*v**(-14\/9)*v**(2\/71)\/v**18 assuming v is positive.\nAnswer: v**(-2893\/639)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 224*o**2 - 230*o - 63. Give y(2).\nAnswer: 373","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 13*a - 48 - 56 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 40 and (225\/(-21) + 5)\/((-8)\/140)?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3672\/594*52\/(-16) - -20?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-15)\/(-6) - 3)*0. Let h(l) be the first derivative of l**2\/2 + 3*l - 5. Let g be h(v). Solve -4*i - 5*m = 37, -2*m - 4 = g*i - 3*m for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31*s + 16 = 27*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(343) + -2*sqrt(343))**2 + -5)*-6 + -5.\nAnswer: -8207","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.20573 micrometers in kilometers?\nAnswer: 0.00000000420573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.4 and -42.7.\nAnswer: -42.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2436886 - 2436886 + 3*w.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 286 minutes before 2:12 PM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1289?\nAnswer: 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -585591.4 + 34.86184\nAnswer: -585556.53816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = d - 5*x + 32, -4*x = -d - 26 - 3. Let v = 11 - d. Suppose -93 = -5*s - v. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17384423923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -l**3 + 25*l**2 + 116*l + 39. Is j(29) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4 - -3. Let r(d) = d**2 + 1. Let u(n) = 7*n**3 - 2*n**2 - 4*n - 2. Let s(y) = b*u(y) - 2*r(y). Find the second derivative of s(g) wrt g.\nAnswer: -42*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:58 PM and 2:43 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -510*l**2 + 1332*l - 24. Let m(h) = 511*h**2 - 1332*h + 36. Let f(o) = 2*m(o) + 3*z(o). Find the second derivative of f(c) wrt c.\nAnswer: -1016","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00373178 rounded to four decimal places?\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 73472?\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 3, -19.4, -1\/5, 2\/3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 204 by -3.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5 - -9. Let w(k) = k**3 - 13*k**2 - 13*k + 3. Calculate the remainder when 66 is divided by w(g).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {m: 6, v: 5, c: 2}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1138*q + 1488 = -3064 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -1076, -1927, -2780, -3635, -4492?\n\"Answer: -x**2 - 848*x - 227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*b + b + 17 - 12 - 9 in the form t*b + c and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*o + 4 - 3*o - o - 3 in the form m + c*o and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 6*l + 94. Let k be v(-16). Let t be (84\/147)\/(k\/(-7)). Solve t = d + d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2282994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 51581644?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -3885*t - 10656. Is b(-7) a multiple of 163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -181*k**3 - 11*k**2 + 22*k - 4. Let x(b) = 36*b**3 + 2*b**2 - 4*b + 1. What is 2*m(j) + 11*x(j)?\nAnswer: 34*j**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -3992*o - 7160. Calculate n(0).\nAnswer: -7160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) be the third derivative of -j**4\/6 - 9*j**2. Suppose -4*q = -4*w + 8, -2*q = -w + 2*w + 4. What is the remainder when 23 is divided by z(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*g = 85 + 153. Solve o = -4*i - g, 2*i = -5*o - 0*o - 13 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1304 divided by -1.\nAnswer: 1304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2385 + 3824. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 8.258 + -10.258. What is the closest to 1\/2 in s, -2\/51, 10\/13?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = w**2. Let q(k) = 2 + 1 + 1 - 5 - 7*k**2. Let l(v) = q(v) + 4*u(v). What is the first derivative of l(b) wrt b?\nAnswer: -6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (36 + 207 + 5)*(57*b**3 - 2 - 57*b**3 + 3*b**4).\nAnswer: 744*b**4 - 496","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -97\/7501634 and 39\/4566212?\nAnswer: 105022876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = s**2 + 11*s + 9. Let g be (-6*(-10)\/6)\/(-1). Let n be i(g). What is the closest to 0 in 3, -2\/27, n?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 - ((1 - 0) + (-24 - (-6 + -10)))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/(-9)*120\/16?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-1176)\/(-150) - 10 - ((-34)\/51)\/(1\/3)\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5)\/4 - (-2)\/8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-6 - -4)\/(2\/(-27)). Let z = 136\/5 - i. Let o = -415\/2 + 205. Which is the second biggest value?  (a) z  (b) 1  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 47605149.\nAnswer: 3, 5289461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.86 - -0.24. Is a greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 6 and 14673?\nAnswer: 29346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -5*j + 15. Let o(n) be the second derivative of -3\/5*n**6 + 1\/5*n**5 + 1\/3*n**j + 0*n**2 + 0 + 3*n + 0*n**3 + 0*n**4. Factor o(z).\nAnswer: 2*z**3*(z - 1)*(7*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -142604260, -285208512, -427812764, -570417016, -713021268?\n\"Answer: -142604252*j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.29*-0.8.\nAnswer: 0.232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -327 divided by -29\nAnswer: 327\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f + 16 = -c, -2*c - 3*f = -2*f + 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from iyyiiyiyyyiii. What is prob of picking 1 y and 3 i?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1537556281 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 81 + (0 - 1) - (29 + (30 - 64 - -12)).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 686366?\nAnswer: 2, 23, 43, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s - 225 = -i, 4*s - 3*i = 224 - 63. Calculate the remainder when s is divided by ((-64)\/(-1 - -9))\/((-1)\/2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-105)\/(-70))\/((-27)\/(-12)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 7 + 6. Suppose -t*i = -4*i - 45. Let b(h) = 1639998*h + 10. Let c be b(i). Round c to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*c = 5*k + 11, 259*k - 263*k = -c + 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2284.4645 + -7.64725.\nAnswer: -2292.11175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 72477215 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 1 f when two letters picked without replacement from zzufzfkktuzkzz?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8305837421?\nAnswer: 7, 1186548203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-4)\/(-2))\/(18\/(-54)))\/(-8)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*j + o, 14 = -j - 4*o - 0. Suppose j*n + 513 = 5*n. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = m**2 - m - 1. Let n(v) = -9*v**2 - 5*v - 5. Determine n(d) - 5*x(d).\nAnswer: -14*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2061 - 2057. Sort o, -2, -1, 7, 1 in ascending order.\nAnswer: -2, -1, 1, o, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -d = 6873*a - 6870*a - 4, 7*d - 20 = 2*d for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -570*y**2 + 1810*y**2 + 5*y - 706*y**2 - 5*y - 562*y**2.\nAnswer: -28*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0 - -2. Suppose 3*i + 17 = 5*i - 5*c, -5*i - 2*c = 1. Solve -g*y = -4, -w + 3 + i = 4*y for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -15*b + 5. Let m be r(0). Let f(o) = -6*o + 34. Let h be f(m). What is the highest common divisor of 20 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1390\/36081 or 0?\nAnswer: -1390\/36081","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 410 minutes before 10:56 PM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 53480 is divided by 554?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*m + 5*d - 65, -564*m + 237 = -585*m + 12*d for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -258 - -261. Suppose v*c - 36 = -4*l, 0 = -2*c + 2*l + 31 - 7. What is the remainder when 107 is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*p + 3*r - 35 = 13, -5*r = -55 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (13 - 28) + -18 + -47 + -1.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 37300103 - -45?\nAnswer: 37300150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 - -15 - (-165 - -188).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find q such that q**2 - 174*q + 173 = 0.\nAnswer: 1, 173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/(p*p**3\/p*p))\/p**0*(p*p**(2\/3)*p)\/(p*p**(1\/3)*p)*p**(-3)*p**(-2)*p*p**(2\/3)*p*p*(p*p*p*p\/p**6*p)\/p assuming p is positive.\nAnswer: p**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-58*t**2 + 81*t**2 - 404*t**2)*(-9 + 0 - 17) to the form x + f*t + m*t**2 and give m.\nAnswer: 9906","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 321 minutes after 9:45 AM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Do -8\/51987 and -31 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3 + 3*z**2 - 3 + (-2*z**2 + z - z)*(1 - 1 + 1) + (1 - 6 + 2)*(-2*z**2 - 4*z**2 + 4*z**2) + z - z + 2*z**2.\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let -238240*u**5 + 2025936*u**4\/7 - 224438*u**3\/7 - 163670*u**2\/7 + 29868*u\/7 - 16\/7 = 0. What is u?\nAnswer: -2\/7, 4\/7445, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 127 - 115. Find the second derivative of -29*z**2 - 5502 - o*z + 5502 wrt z.\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o = 137 - 32. Let y be 3120009\/(-15) + 21\/o. Round y to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.06, 2\/3, 0.2, 1\/7 in decreasing order.\nAnswer: 2\/3, 0.2, 1\/7, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -4896 + 3*y + 2519*y**2 + 2553*y**2 - 6870*y**2 - 3674 wrt y?\nAnswer: -3596*y + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) be the third derivative of -3*c**2 - 1\/60*c**4 + 0*c - 1\/300*c**5 + 0 + 0*c**3. Factor w(k).\nAnswer: -k*(k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -97\/99559040 and -51\/6886.\nAnswer: 1095149440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.002476 to four dps.\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.05 - 12265442146967?\nAnswer: -12265442146966.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 21012202101 (base 3) to base 16.\nAnswer: 22a98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 1953685, 1953684, 1953683, 1953682, 1953681, 1953680?\n\"Answer: -y + 1953686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 13, 387, -15 in increasing order.\nAnswer: -15, 13, 387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -40*y + 4675. Calculate d(113).\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -833*c + 40823. Give i(49).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*u = 8*u - 4128. Let z = 3572 + -26206\/7. Let g = u + z. Which is the third smallest value?  (a) -5\/4  (b) g  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*w**2 - 111*w**2 - 9*w**2)*(2*w**2 + 5*w**2 - 5*w**2).\nAnswer: -228*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-190)\/(-150))\/(-19) + (-1)\/3. Let o = 0.0401 - 2.7701. Let v = o - 0.27. What is the nearest to z in -3\/7, 0, v?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 192196*k*q - 2*k + 419257*q wrt k.\nAnswer: 192196*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*i - m = 12*i + 313, -5*i = -5*m - 785. Solve -i = -34*q - 5*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 90940, 181998, 273058, 364120, 455184, 546250?\n\"Answer: q**2 + 91055*q - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty sevenths of a week in minutes?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xqaxqaqnnbxba. Give prob of sequence bnb.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 4*s + 145. What is the units digit of x(-35)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 108317433 to the nearest integer?\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*c + 84 = -6*c - 0*c for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 614 and 613350081.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.043 + -1.047. Let r = -0.1201 + 0.3201. Is z not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - -2) + (-11 - -1) - -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 28064*z + 140314. What is b(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -2*h. Let b(v) = -24*v**2 + 1. Calculate k(b(w)).\nAnswer: 48*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11425 is divided by 816.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/9?  (a) -1\/4  (b) -2\/5  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) be the second derivative of 2\/3*d**2 + d + 1\/36*d**4 + 0 - 2\/9*d**3. Determine w, given that r(w) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2387 divided by -217?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:17 AM and 3:41 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -876*k + 1297 + 19727 = 0 for k.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/5?  (a) -8  (b) -40612  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.2116 + -8.2596. Let o = 8 + s. Round o to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -x**2 - 2*x + 2. Give w(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1483 + 1483.25. Which is the third smallest value?  (a) 3\/8  (b) -0.3  (c) x  (d) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -u**2 + 6*u - 9. Let s be d(6). Let p(w) = 12*w - 142. Let q be p(13). Let l = q + s. Are l and 4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1392 (base 13) in base 6?\nAnswer: 21023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 416 is divided by 166.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*l**4 - 2*l**4 - 3*l**4 + 0*l**4 - l**4 - l**4 + (0*l**4 + 0*l**4 - 2*l**4)*(-5 + 3 + 3) + l**3 + l**4 - l**3 + (7*l**4 - 6*l**4 + 5*l**4)*(11 - 3 + 2).\nAnswer: 58*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8121 is divided by 477?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 36742597\/4 smaller than 9185650?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -25*b - 47 - 300 + 72 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z = c - 296, -5*c - 3*z + 1482 = z. Suppose 4*y + 2*m = 7*m + 230, m = 5*y - c. Calculate the highest common factor of y and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -111*h - 29140518 = -57062370 - 30463593. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (l**2 - 4*l + 4*l)*(3 + 2*l - 3) + ((l + 5*l - l)*(-4*l + l + l) - 3*l**2 + 0*l**2 + l**2)*(-l + l - l).\nAnswer: 14*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*w - 34 + 58. Suppose w*l - 4290 = 996. Suppose -2*x = -117 - l. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*t**2 + 455592*t.\nAnswer: -3*t*(t - 151864)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sigosso. What is prob of picking 1 s, 1 g, and 1 o?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.109 and -31124?\nAnswer: 31123.891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:46 AM and 5:24 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 8399\/9 - 933. Find o, given that 0*o**4 - 2\/9*o**5 - s*o + 0*o**2 + 4\/9*o**3 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 21 + -35. Let d = z - -18. What is the nearest to d in 0.5, -0.3, -5\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-72)\/(-189))\/(92\/6762)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -3514, -7028, -10540, -14050, -17558?\n\"Answer: b**2 - 3517*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1 - (0 - 9\/(-3)). Let z = 2435.96 - 2436. Which is the biggest value?  (a) z  (b) 1  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*n + 8, -3*q - 2*n - 2*n + 8 = 0. Suppose -4*v + v = q. Is 13 a factor of -2 - 41\/(-1 + v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 18*f**5 - 57669*f**4 + f**3 - 4063527*f**2 wrt f.\nAnswer: 1080*f**2 - 1384056*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -79, -141, -179, -181, -135?\n\"Answer: 2*k**3 - 76*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 416 + -5?\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 57100 minus 3053831.06?\nAnswer: -2996731.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*g**2\/8 - 3181*g\/2 - 53529\/8.\nAnswer: (g - 2549)*(5*g + 21)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1104895 to the nearest integer?\nAnswer: 1051","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (44 - (-1485)\/216) + (-2)\/32*-2.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hdd when three letters picked without replacement from {h: 2, d: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 625 minutes before 2:25 PM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 3 r when four letters picked without replacement from arglx?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 194 = 2*r - 3*r. Let m be ((-24)\/15)\/(6\/(-450)*-6). Let b be r + -1 + m\/10. Round b to the nearest 10.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*3\/((330\/10)\/11).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 294 divided by -95\nAnswer: -294\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 1\/2 + (-145 - -144)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -2*r**3 - 115*r**2 - 172*r - 226. Let q be g(-56). Sort 3, q, -5, -198 in increasing order.\nAnswer: -198, -5, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000063534248 rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2)\/8 + 7474*(-3)\/(-24). Let l = -870 - i. Let b = l - -2717. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) be the first derivative of 7*a**6\/6 - a**2\/2 + 1. What is the second derivative of t(j) wrt j?\nAnswer: 140*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9312541 is divided by 3877.\nAnswer: 3864","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is f in -5*f**2 + 32*f + 37*f - 74*f = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -261140 to the nearest ten thousand.\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 10810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -j**3 - j + 7*j - 6104*j**2 + 6107*j**2 + 5. Let r(q) = 7 + 2*q**3 - 18 + 4*q**2 - 13*q - 10*q**2. Give 6*r(c) + 13*s(c).\nAnswer: -c**3 + 3*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 32 + 39. Let t = n + -49. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -o**2 - 6*o - 3. Suppose -12 - 58 = -5*s. What is the lowest common multiple of s and a(-4)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -x**3 - 22*x**2 - 23*x - 516. Let d be m(-22). Let l be (10 + -2)\/(1 - 2). Is d at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -5 - -3. Suppose -2*w + 120 = -5*k + 2*w, k + 5*w + 24 = 0. What are the prime factors of (-2)\/((-2)\/k*b)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-228)\/(-16) - 15 - 101\/(-140).\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k*k**(-7))\/k)\/(k\/(k**0\/k)))\/((k*k**(-1\/2)*k)\/k**9) assuming k is positive.\nAnswer: k**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-235)\/(-10) + (-2)\/4. Suppose r*l = 5*l. Factor -13\/4*w**3 + l - 1\/4*w**5 + 3*w**2 - w + 3\/2*w**4.\nAnswer: -w*(w - 2)**2*(w - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = 4*k - 60. Let y be ((-1)\/k*-8)\/((-2)\/15). Find the common denominator of -4\/35 and (y\/(125\/255))\/((-24)\/(-15)).\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 96 and 1164.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -670660 times -0.9?\nAnswer: 603594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2041, -2073, -2105, -2137?\nAnswer: -2169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 3, i: 2, z: 1, q: 6}. What is prob of picking 2 q?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10201221021111 + 121?\nAnswer: 10201221022002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*w**2 + 477140*w - 2385825.\nAnswer: 5*(w - 5)*(w + 95433)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 5*w. Let k(t) be the first derivative of -t**2 - 18. Determine o(k(p)).\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -5, -20, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 63884*p**2 - 127631*p**2 + 63747*p**2 - p**3.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + 870 = 7*w. Let j = w + -103. Suppose 3*x + 11 = j. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16470534?\nAnswer: 2, 3, 281, 9769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a - 2 = -0*a. Let k = -649 - -651. Let z = -1 - 0. Put z, k, a in decreasing order.\nAnswer: k, z, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14*((-15)\/(-28) + -2 + (-7)\/(-4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bvo when three letters picked without replacement from obovoboobbbbbbooo.\nAnswer: 4\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 121 minutes before 9:14 AM?\nAnswer: 7:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 225192 is divided by 20472?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 13\/234*-4 + (-267)\/(-108) and 51\/382.\nAnswer: 764","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 544 and 104331200?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -76.29 + 72.8. Let s = x - -3.79. What is the biggest value in 1, 90, s, -4?\nAnswer: 90","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 87313 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -6*t - 28. Let v = -5 + 35. Suppose v = -2*o - 8. Is b(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -r + 13. Suppose 32 + 22 = 3*k. Let y be (135\/k)\/((-1)\/2). List the prime factors of z(y).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine p so that 4*p**4\/7 - 4352*p**3\/7 + 549856*p**2\/7 - 11824128*p\/7 - 25882560\/7 = 0.\nAnswer: -2, 30, 114, 946","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 10 - 3 + v + 7 - 2. Let o be y(-13). Suppose 5*t = 4*t. What is the biggest value in o, t, -0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -20.5, -1\/7, 1\/2, -2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 7, -2\/263, -13?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 20849563 is divided by 295?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 668259 is divided by 684?\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.9565532 rounded to two decimal places?\nAnswer: -1.96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 4*f = 0, 4*r - 12 = 3*f - 2*f. Which is the closest to -1?  (a) -4  (b) r  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-20)\/(-5))\/(537\/(-537))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2521503173 to the nearest integer?\nAnswer: 50215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1 + (1 - (-14)\/2). Let w be (4\/4 - 2)\/((-3)\/u). Suppose -4*y + 523 = w*b, -5*b + 62 = -y + 187. Does 12 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.3800548 hours to nanoseconds.\nAnswer: 1368197280000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 46 - 55 - (-2 - 8) - (6 + -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ssssssssslslssls. Give prob of sequence lsls.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n\/(n*n**(-1)))\/((n*n\/n**1)\/n))\/((n*n**(-4)\/n)\/(n\/(n*n*n*n*n**1*n*n))))**(-3\/13) assuming n is positive.\nAnswer: n**(3\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -212 - -207. What is the closest to 1\/3 in -2, 1\/9, b?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a, 2 k, and 1 q when four letters picked without replacement from kkamkmkqakkakkkkmkkk?\nAnswer: 78\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor q**3 - 46*q**2 + 480*q + 1152.\nAnswer: (q - 24)**2*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 1ab3 (base 15) in base 14?\nAnswer: 217b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 181\/279900 and -89\/1650.\nAnswer: 3078900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -q**3\/2 - 90*q**2 - 1053*q\/2 - 783.\nAnswer: -(q + 3)**2*(q + 174)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*q + 4*q = -1092. Let l = q - -171. What is l rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 182 - 180. Suppose 2*y = -k*g + 24, 3*g - 5*g = -5*y + 32. Is 14 at most y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*k - 8*k + 0*k - 2*k - 5*k.\nAnswer: -28*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.69 + -0.29. Sort j, -1\/5, -5.\nAnswer: -5, -1\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y*y*y**12*y*y**(-10) assuming y is positive.\nAnswer: y**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 - 3 + 4)*(-65*r**2 - 93*r**4 + 65*r**2) + 2*r**4 - r + r to t*r**3 + l*r**4 + q*r**2 + a*r + c and give l.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -393 - -399. Let w = -1 - -1.5. Put 0.4, w, q in decreasing order.\nAnswer: q, w, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 31514 (base 9) in base 12?\nAnswer: 1007a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -124*z + 6 = -121*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -11 * 3.092187\nAnswer: -34.014057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -738769142224 take away -1.7?\nAnswer: -738769142222.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 281753565 to the nearest integer?\nAnswer: 656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 130 = -5*x, 158 = 5*x + 4*c + 28. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -8*(-10)\/(-2000)*-10\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 2*c**3 - 12*c**2 - 12*c. Suppose -5*s + 4 = -3*s. Let q(b) = b**2 - 3*b + 8*b + 4*b**s - b**3. Determine -12*q(o) - 5*t(o).\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -90 + 87. What is the closest to 1\/4 in l, 3\/2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -x**2 + 21*x + 7. What is the remainder when v(14) is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9274.678 litres to millilitres.\nAnswer: 9274678","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 21071, 21755, 22895, 24491?\nAnswer: 26543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 54 + -5. Let p = x + -45. Suppose 2*r + 409 = 4*y - 353, 0 = -2*y - p*r + 396. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 857*v**2 + 951*v**2 - 1830*v**2.\nAnswer: -22*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1696829623 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.3  (b) 0.4  (c) 916  (d) 6  (e) 12.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4583 is divided by 1519?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -9*o + 10. Let h be (-1)\/(1 - (-18)\/(-16)). Let a(b) be the second derivative of 7*b**3\/3 - 15*b**2\/2 - 103*b + 3. Give h*d(j) + 5*a(j).\nAnswer: -2*j + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-l + 2 - 2)*(11730*l - 9 + 23006*l + 13 - 380*l - 4).\nAnswer: -34356*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*r - 27 = -19*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -51693.08843 rounded to zero dps?\nAnswer: -51693","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 2*u**3 - 19*u**2 - u + 4. Let s(p) = -p**3 + 10*p**2 - 2. Let z(v) = -3*l(v) - 5*s(v). Let d be z(7). Factor 23*h**3 + 1 - 8*h - 1 - d*h**3 + 4*h**2.\nAnswer: 4*h*(h - 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 510877 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.2117 - -2.\nAnswer: 2.2117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 898*u**2 + 607*u**2 - 7*u**3 - 2404*u**2 + 899*u**2 + 2*u**3.\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in 1\/3, -2\/11, 5, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eet. Give prob of picking 2 e.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 44\/110 + (-1578)\/(-5)?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 3, -13, -0.2, 61, 4, -2\/11?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eleeggeelgegleeg. What is prob of sequence egg?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/19 at least -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 28.2 or 10\/19?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 2*f + 4 = 1, 6 = 2*f. Put 1, 71, 3, g in ascending order.\nAnswer: g, 1, 3, 71","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -11*v**2 + 3*v + 20*v**2 - 2*v - 5*v**2 in the form f*v + b*v**2 + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 850066, 1700140, 2550214, 3400288, 4250362, 5100436?\n\"Answer: 850074*o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x + 34 = -j, 288*j + x + 4 = 290*j. Let g(z) = z**3 - 3*z**2 - 13*z - 3. What is g(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2772964.64 rounded to the nearest one thousand?\nAnswer: -2773000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u = 2*l - 4*l - 26, -2*u = -4*l - 20. Suppose -2*v - r = -92, 60 = v - 1103*r + 1100*r. What is the highest common factor of v and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*j**3 + j - j + (5*j - j**2 - 5*j)*(-3 + 3 - 5*j) - 3*j**3 + 2*j**3 - j**3 to the form m*j**2 + c + g*j**3 + z*j and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4228640426?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -836*s + 10911. Does 11 divide k(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 102\/36 - 2\/(-12). Find the third derivative of -k*t**4 - 13466*t + 13466*t + 47*t**5 - 195*t**2 wrt t.\nAnswer: 2820*t**2 - 72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 = 2*v - 0 + 5, 3*t + 213*v + 322*v = -2146 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1202141.37745 + 0.016.\nAnswer: -1202141.36145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1.2 - -1.8. Let i = x - -2. Let a(g) = -g**2 - 1. Let f be a(0). What is the third smallest value in i, f, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = q**3 - 6*q**2 + 4*q - 15. Give v(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 5*s. Let m(l) = -19104386*l**2. Give m(a(j)).\nAnswer: -477609650*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*z**3 + 0*z**3 - z**3 + (0 - 2*z**3 + 0)*(-3 - 2 + 3) + 0*z + 2*z**3 + 0*z + (1 - 6 - 2)*(z**3 + z**3 - z**3).\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (3\/(-12))\/(1 - 11\/8). Suppose 0*v + w*v**4 - 4\/3*v**3 + 0 + 0*v**2 + 2\/3*v**5 = 0. What is v?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42 = -y - y - f, 4 = f. Suppose 68 = 3*v - 226. Suppose -3*u = -2*p + v, 2*p - 71 = p - 4*u. What is the remainder when p is divided by y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-7 - -30) + (25 + -34 - -13).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 146daca + 3?\nAnswer: 146dacd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000830359932 rounded to 5 decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find s, given that -2*s**4\/5 + 11358*s**3\/5 - 943314*s**2\/5 + 18758234*s\/5 + 8276124 = 0.\nAnswer: -2, 43, 5595","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -4 + (0 - -4) + 4. Suppose m*w = 5*w. Suppose z = 4*d + 7, -4*z + d + 10 = -3. Solve z*x - 2 = 2*r - x, w = -5*x - 5 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r + 5*t + 10 = 0, 4*r - 10 = -5*t + 25. Suppose -2*g = 6, 2*k - 9 = -0*k + r*g. Sort 4, -7, k, -1 in descending order.\nAnswer: 4, -1, k, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27084669 to the power of 1\/3, to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = v - 5. Let h be z(9). Suppose 0 = d + 3*m - 16, h*d - 25 = -5*m + 11. Suppose 3 = 2*r + 3*r - q, -3 = 5*r - d*q. Solve 0 = -0*n + n - r for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*t + t + 28*t**2 - 2*t + 3*t**3 - 1 - 29*t**2 in the form m*t**2 + u*t + q*t**3 + o and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + 558\/(-168) + (-3)\/7.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + 0 + 2)*(1 - 1 - 9*c**2) - c + c - 2*c**2 as j*c**2 + m*c + a and give j.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -5  (b) 1  (c) 963722\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -37 + 138. Is 10 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 7*z + 353. Let g be c(-50). Suppose -51*b = -97*b + 52*b. Solve 7*t = 5*t + h - 2, -g*t - 4*h - 14 = b for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/75*270\/(-54)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 503 = 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = k**2 + 10*k - 28. What is i(-17)?\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = x**3 + 2*x**2 - 15*x - 43. Let j be v(-3). Put j, -2, 7 in descending order.\nAnswer: 7, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -63414, -63406, -63392, -63372, -63346?\n\"Answer: 3*x**2 - x - 63416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -3*w - 48. Let i be h(-16). What are the prime factors of -227*(3 + -6 + 2 + i)?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -182 = -w - w. Suppose 0 = -c + 2*c + 61. Let n = c - -74. What is the highest common divisor of w and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide ((-2)\/6)\/(69\/(-2856807))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 7*g**2 + g - 1. Let x(h) = h + 10. Let n be x(-8). Suppose 6 = 5*i + 1, i - 39 = -n*r. Calculate the remainder when r is divided by z(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*4*(4 + sqrt(5) + (sqrt(5) - sqrt(60)\/(sqrt(48)\/sqrt(4)))))**2.\nAnswer: 512*sqrt(5) + 1344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 117 = -3*f + 804. Does 7 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0176855 to 3 decimal places.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*h**4*o**2 - 2*h**3*o**2 - 29*h*o - h + 3*o**2 wrt h.\nAnswer: -24*h**2*o**2 - 12*h*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1700070 is divided by 27.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + h = -2*p - 6, 3*p + 4 = h. Solve h = 2*w + 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 16 = -5*f, -2*f - 283*y + 9 = -284*y. Let j(c) be the third derivative of -5\/6*c**3 + 1\/8*c**f + 0 - 21*c**2 + 0*c. Calculate j(-6).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 2aa + 4a5197?\nAnswer: 4a5485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = k**3 + k**2 + k + 1. Let o(w) = 13*w**5 + 3*w**3 + 3*w**2 + w + 3. Let h(i) = -3*l(i) + o(i). Find the second derivative of h(y) wrt y.\nAnswer: 260*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 663 = 5*r - 30*p + 28*p, -5*p = 4*r - 504. Let n = r + -116. Calculate the remainder when 1467 is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10 + 1 - 3)*((-2*u**4 + u**4 - u**4)*(0*u + 3*u - 4*u) + 2*u**5 + 0*u**5 + u**5).\nAnswer: 40*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.142846 and 2034.\nAnswer: 290.548764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand -v**2 + v**2 - v**5 + (3*v**4 + 0*v**4 - 4*v**4)*(0*v - 10*v + v).\nAnswer: 8*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -18, -78, 2, 11, -2 in increasing order.\nAnswer: -78, -18, -2, 2, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -22618074478.006033 - -22618084326. Let t = -9848 + f. Round t to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 81\/4 of a meter in centimeters?\nAnswer: 2025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -115601455, -115601459, -115601463, -115601467, -115601471?\n\"Answer: -4*o - 115601451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -11*t**3 - 5*t - 4. Let u(q) = -12*q**3 - 6*q - 5. Suppose -f = -5*j + 22, 3*j + 6*f - 10*f = 3. Determine j*u(v) - 6*b(v).\nAnswer: 6*v**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-380)\/28 - 9\/21. Let t be (d\/10)\/((-6)\/60). Is 14 less than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + 4 = 2*l, 3*p = -0*p. Let k = 0 - 0. Find the third derivative of 0*h**5 + k*h**5 + 2*h**5 + 0*h**5 - 2*h**l wrt h.\nAnswer: 120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -5 + 5. Let n be (-1)\/(8\/(-1) - l). What is the biggest value in 1, n, 1\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -19.4 + 22. Let p = s - 20.6. Let n = p - -11.4. Round n to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:21 AM and 8:28 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5964*l**3 - 1993*l**3 - 1991*l**3 - 1995*l**3.\nAnswer: -15*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -136 + 360. Suppose 9*x = 7*x + t. Suppose 4*i - x - 12 = 4*b, -4*i - 2*b + 94 = 0. Does 26 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -414799*j*x - 2*j - 158618 wrt x?\nAnswer: -414799*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1076512 to the power of 1\/3, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + 1*sqrt(13) + -2 + sqrt(13) + 1.\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2971213080 a multiple of 11220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f + 37 = f - 5*z, -2*z = -2*f + 18 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 12, 39, 76, 123, 180, 247, 324?\nAnswer: 411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((c*c\/(c\/(c\/c**(1\/4)*c)*c))\/(c\/(((c**(-4)*c)\/c)\/c)))\/((c\/(((c**(2\/17)\/c)\/c*c)\/c))\/((c**6\/c)\/c)))**9)**48 assuming c is positive.\nAnswer: c**(-23004\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2*2\/104*(-32)\/(-8).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2299) - (sqrt(2299) + -1 + sqrt(2299))) + 5)*-2 + 1.\nAnswer: -11 + 22*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 30, 45, 86, 165, 294, 485, 750?\nAnswer: 1101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 3*v + 552 = 2*v, y - 4*v - 99 = 0. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 11141*u**2 - 65 - 268*u - 3727*u**2 + 4*u**3 - 3731*u**2 - 3714*u**2 = 0. Calculate u.\nAnswer: -5, -1\/4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = n**2 + 45*n + 271. Determine q(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-3\/5)\/(x\/(x\/(x\/x**0*x))*x))**(-1\/33)*(x\/(x\/x**(-2\/5))*x*x\/(x*x*x**11)*x)**(-11\/5) assuming x is positive.\nAnswer: x**(6322\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*l - l + 1, z = -2*l + 18. Let s = z - 38. Let t = -21 - s. What is t rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 6 + -2629377?\nAnswer: -2629371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*p = -3*p - 0*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 39, 1, -0.4, -7, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 3\/(-9) + 7\/3. Let j be (-2 - 0)\/(5\/(-10)). Suppose 0 = 7*c - 29 - 41. Solve -c = -j*r + a for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*v**2 - 56203 - 56163 + 112366.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h - 9*r - 30 = -4*r, 4*r + 9 = -h. What is the closest to 2 in -1\/5, h, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 10*j + 64. Let t(x) = x**3 - 4*x**2 - 5*x - 3. Let n be t(5). Let y(m) = -2*m - 13. Let i(k) = n*l(k) - 14*y(k). Is i(-12) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y, 1 z, 1 h, and 1 v when four letters picked without replacement from yhyzyyzyzyvzvyyhhyzy.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -32.777 to the nearest integer.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 6, 3\/5, 2.3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + -4 + -4*5*-6*sqrt(200)*3 + 4)**2.\nAnswer: -14400*sqrt(2) + 25920004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(1\/6)\/(((m\/(m*((((m*m**(-3\/5)*m*m)\/m*m)\/m)\/m*m)\/m*m))\/m)\/m)*m\/m**(-17)*m\/m**(3\/4)*m)**(-19\/4) assuming m is positive.\nAnswer: m**(-26011\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(16)\/(2*sqrt(4)))\/sqrt(2).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-1100974)\/(-722) - (-6)\/57?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) 11  (b) -1\/5  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = d**3 - 6 - 4*d - 13 + 23 + 0*d. Let w be n(2). Suppose 7*y = 8*y - w. Solve -g = -y, -z = -g + 4 + 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = d - 1. Let m(h) = -221 + 120 + 89 + 21*h. What is m(w) - 12*n(w)?\nAnswer: 9*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -q**2 - q + 7. Give o(-7).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -80  (b) -70\/113  (c) -5  (d) -5\/3  (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 + 4*z + 3 - 3*z + (3 - 4 + 0)*(-34*z + 56*z - 35*z) as k*z + v and give k.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u**2 + 32*u - 68 = 0. What is u?\nAnswer: -34, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 373 minutes after 11:27 PM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -39157\/13 - -3012. Let h = 23 + -24. Which is the closest to h?  (a) 0.4  (b) 0.1  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 17 - 15.4. Let h be 2*1\/(-2)*-5. Let y = 3.31 - 0.31. Which is the nearest to l?  (a) 0.5  (b) h  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find q such that -55*q**5\/8 - 2076*q**4 - 113411*q**3\/8 - 62387*q**2\/4 + 33036*q - 1180 = 0.\nAnswer: -295, -4, 2\/55, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -750, -1\/5, -6\/7, 2\/25 in descending order.\nAnswer: 2\/25, -1\/5, -6\/7, -750","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/5?  (a) -0.3616  (b) -2\/15  (c) 14\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6690 = 539*l - 4379 - 4562 for l.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -1.71 less than -1\/920?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -5404 + 5403. Let d = 9 + -9.2. Which is the closest to -1\/4?  (a) q  (b) d  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i = 2*i - 2079. Let f = i + -288. Solve 0 = 5*o + 5*d - 0*d - 30, -o - 4*d = -f for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve g - 12 = -2*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -2952*d + 64. Let u(m) = 454*m - 10. Let v(j) = 32*u(j) + 5*z(j). Let k(n) = n. Calculate k(v(o)).\nAnswer: -232*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 485290, 1941193, 4367698, 7764805, 12132514, 17470825, 23779738?\n\"Answer: 485301*t**2 - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 26\/5 of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-18)\/(-126))\/(2\/7) + 189\/(-18).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(864) - (sqrt(864) - 6*2*sqrt(864))) + sqrt(864)*-1*-1)\/((sqrt(96)\/(sqrt(12)*2))\/(sqrt(700)\/sqrt(7))).\nAnswer: 1560*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 141066.\nAnswer: 2, 3, 17, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 355, -16, 5, 1874.\nAnswer: -16, 5, 355, 1874","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4274?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-840)\/(-98))\/(2\/7). Suppose 3*d = 3*w - 3318, 35*w + 2*d - 5509 = y*w. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.4 in 0.4, 5, 0.33?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kxaaakxkkakk. What is prob of picking 1 x and 2 a?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 6468, -2, 1328, -1 in descending order.\nAnswer: 6468, 1328, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) be the second derivative of -j**5\/20 - 7*j**4\/6 + 11*j**3\/6 - 18*j**2 - 43*j. Calculate the lowest common multiple of s(-15) and (1 - 15\/9)\/((-3)\/54).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 39*h - 658 + 658 + (3 + 2 - 3)*(-h - 4*h + 3*h) - h + 318 - 318 in the form g + n*h and give n.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00282438919 rounded to 4 dps?\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*u + 5*u - 28*u.\nAnswer: -10*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*w - 3*b - 15, -b - 14 = -42*w + 32*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 <= 2\/48365?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*y**4\/4 - 26646*y**3 - 167424*y**2 - 60832*y + 730560 = 0. What is y?\nAnswer: -15220, -4, 12\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5422770 to the nearest integer?\nAnswer: 2329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 19321, 77291, 173921, 309223, 483209, 695891, 947281?\n\"Answer: 2*j**3 + 19318*j**2 + 2*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u = 10 - 20. Is (-3)\/9*(4 + u) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*42\/2989*665 + 28.\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3651.3 + -3658.3. Let c = -0.4 + 0.2. Let u = c + 0.1. What is the closest to u in i, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1216247*u - 2438007 wrt u.\nAnswer: -1216247","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -2*d**2 + 8*d - 5. Let p be k(2). Calculate the greatest common factor of 1 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.457756691 rounded to 2 decimal places?\nAnswer: 0.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4 * 0.5164.\nAnswer: 2.0656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wrrvwjjwwj. What is prob of sequence jj?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3677272?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -95  (b) 2\/11  (c) 19  (d) 2.99\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2 + -2. Let c = -0.1 - i. Let t = -23 + 68\/3. What is the closest to t in 0, 3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1010 - 110110?\nAnswer: -101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -17  (b) -292  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 4*i**3 - 19*i**2 + 31*i - 8. Is 8 a factor of u(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 3, -65, 5, 24, 15?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1573)*1 + -1)*-4 + -1*(sqrt(1573) + 3 + 5))**2*6.\nAnswer: 2640*sqrt(13) + 236046","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -p + 54. Is u(9) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3707 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o = 548*h - 551*h + 8, -2*h = 2*o - 4. Let b(j) be the second derivative of -9*j + h - 1\/3*j**3 + 7\/2*j**2. What is the derivative of b(d) wrt d?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 190888?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21*y - 116 - 45 - 156 + 317.\nAnswer: 21*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + y = -1, 2*y + 9 = 3*i + 5*y. Let w be (1 - (i + 0)) + (35 - 22). Let g(k) = -k**2 + 11*k + 22. Determine g(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 75 times -3630.51\nAnswer: -272288.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -10*(-1)\/(-4)*6\/(-5)*1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 4*g**2 - g + 4. Let c(h) = 3*h**2 - 2*h + 3. Calculate -3*c(b) + 2*d(b).\nAnswer: -b**2 + 4*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -x**2 - x + 1. Let r(f) = -2*f**2 + 6*f + 21. Let z(l) = 2*r(l) - 6*t(l). Factor z(w).\nAnswer: 2*(w + 3)*(w + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = 5*b**2. Let q(r) be the second derivative of -74*r**3\/3 - 614*r - 1. Determine o(q(n)).\nAnswer: 109520*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -12.046 rounded to 0 decimal places?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {x: 3, j: 1, a: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -3757050 times -9?\nAnswer: 33813450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 1450205, 2900403, 4350611, 5800835, 7251081, 8701355?\n\"Answer: z**3 - z**2 + 1450194*z + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from leeeel?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/28)\/((-6018)\/944 + (-675)\/(-100))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 401 divide 11845540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 20, -54, -4, 0 in descending order.\nAnswer: 20, 0, -3, -4, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-12)\/(-2) + 6\/(-3). Suppose 0 = -3*d + s*l + 513, 376 = 4*d + l - 327. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 6*s = 4*n - 28, -3*s = n - 15. Let m = -70 - -79.1. Let y = -9 + m. Which is the nearest to y?  (a) n  (b) 3\/2  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + (sqrt(468) - (1 + 4 + sqrt(468))))*-6)**2 + -3.\nAnswer: 897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 980.923 nanometers?\nAnswer: 0.000000980923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - 56462 = -4*s, -2*m - 70594 = -5*s + m. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -200 + 64.56?\nAnswer: -135.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = a**2 + 6*a + 4. Let k be j(-4). Let w(i) be the second derivative of -i**5\/20 - i**4\/3 - i**3\/6 - 3*i**2\/2 - 3*i. Determine w(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13 = 6*o - 2*o - m, -3*o + 26 = -4*m for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(475) + -1)**2 + -2*(sqrt(19) - (sqrt(76)\/sqrt(4) + sqrt(19))) + (sqrt(1539) + -4)*-3 + 3.\nAnswer: -35*sqrt(19) + 491","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.5  (b) 0.04  (c) 5\/4  (d) -2\/7  (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 145 + -1017\/7. Let f = -58\/71 - -535\/568. What is the biggest value in j, f, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*x**2 - x**2 - 2*x**2)*(-8*x - x**2 + 8*x) + (-x**3 + 2*x**3 + 0*x**3)*(-3*x + x + 0*x).\nAnswer: -x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 250\/(-3 - (-4 - 1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10*((-9)\/((-180)\/16))\/(130\/5).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 57\/812 and -25\/4.\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 16954 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5*(-3)\/90 - 0.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*s - 4*s = 296. Suppose -s = 4*m - 242. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 4\/(-18) + (-145)\/(-45). Suppose -z = -11*g + 10*g. Calculate the remainder when 9 is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 21\/(-4)*(19 - 3). Calculate the common denominator of (-4)\/(-14) + 10\/m and 39\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*i + 7*i + 2*s - 18 = 0, -i + 25 = 3*s for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 11.50129 + -11.5. Round y to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) be the first derivative of -p**3\/3 - 2*p**2 - p - 4. Let v be a(-3). Factor -3*r - 148*r**3 + 158*r**3 - 15*r**2 + r**v + 8 - 13*r.\nAnswer: 2*(r - 2)*(r + 1)*(5*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 - 2*o - 7 + 3 in the form x*o + a and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/(-2)*-4*(-21)\/28?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 1 = -86. Let s = v + -3. Suppose -12 = -i - 3. Calculate the remainder when s is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -c = p - 4, -c - 221 = -p - 217 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1307*m**2 + 2*m + 2063?\nAnswer: 2614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4.1 + 4. Let o = q - 0.9. Let c = 1.00000022 + o. What is c rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 (base 13) in base 7?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kkkiekekeie. What is prob of picking 3 k and 1 i?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -16 or -192\/13?\nAnswer: -192\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 779.\nAnswer: 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -471*u + 143*u - 16775 = 343*u for u.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 51843 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 329.48 or 0?\nAnswer: 329.48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-4)\/(-6))\/(-2)*-9. Let s = v + 15. Let z be 8\/(-36) - (-40)\/s. Solve p - 1 = 2*j + z, 4*j + 4*p - 12 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 0.2  (b) -3  (c) 4  (d) 0  (e) -36  (f) 27\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 119 is divided by (-2 - -3)*7*(-72)\/(-21).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + 5 + sqrt(50)*-3 + (sqrt(2) - (sqrt(16)*2)\/sqrt(8)) + 1)**2 + 1.\nAnswer: -224*sqrt(2) + 562","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = r - 46, 3*b - 30 = -r + 10. What is the greatest common factor of 14 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2023 + -42514\/21. What is the common denominator of q and 34\/297?\nAnswer: 2079","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (221\/(-39) + 8\/(-6))*-6. Solve -v*w = -41*w - 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i = -i + 5. Let n(c) = c**2 - 2*c. Let v be n(i). Calculate the highest common factor of 7 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -s. Let h(b) = -2*b**2 - 10*b. Let w(z) = -10*c(z) + h(z). Let v(p) = -19 + 38 - 19 + 8*p**2. Determine v(w(r)).\nAnswer: 32*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*d = -5*d, 3*d - 25 = 5*c - 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 18438 + 1889. What is the thousands digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 30 = -2*y - 5*m, -3*y = -3*m - 6. Suppose -342 = -y*g - 34*g. Calculate the remainder when 228 is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 6*l**2 + 2. What is m(3)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.2 - 1.2. Let b = -167\/55 + 178\/55. What is the third smallest value in x, -5, 0.4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 24 - 9. Let t(n) = -n**3 + 12*n**2 - 8*n - 7. Calculate the remainder when t(11) is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) be the first derivative of -3*l**2\/2 + 3*l + 4. Let f be b(-8). Which is smaller: 28 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k = -363 - 53. Is k a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14263 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 172 is divided by 61?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -2 - (5 + -19 + 10 + 2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -7*q**2 - q*r**2*t - 2*q*r*t + q*r + r**2*t - 8*r*t with respect to q.\nAnswer: -14*q - r**2*t - 2*r*t + r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) be the first derivative of -172*f**3\/3 + 12*f**2 + 402. Factor h(w).\nAnswer: -4*w*(43*w - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q - 3*q + 27 = 9*f - 6, -4*q + 72 = 6*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -3*(-132)\/189 - (-30)\/(-315). Suppose -3*y + 4*n = -6*y + 38, -4*n - k = -y. Solve 0 = y*x - 11 + 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1432 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -7*f + 3*f + 3*f + 10. Let j be u(-11). Suppose 4*w - 4*y = 84, -5*y + 2*y = 3*w - 69. Is j smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 165552325 to the power of 1\/3, to the nearest integer?\nAnswer: 549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = q**3 + 24*q**2 - 23*q + 71. What is the remainder when 607 is divided by y(-25)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) be the second derivative of 1\/12*s**4 + 0 + 0*s**3 - 4*s + 0*s**2. Let y(b) = 4*b. Determine i(y(o)).\nAnswer: 16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -38911 (base 11) to base 9\nAnswer: -84327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -5*x. Let z(v) = -v. Let y(u) = -6*n(u) + 33*z(u). Let h(l) = -l + 2*l - 3*l. Determine y(h(i)).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 86 = -4*q, -3*n - 2*q + 30 = -2*n. Calculate the remainder when n is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (120\/(-300))\/((-2)\/10). Let n(b) be the first derivative of 1\/12*b**3 - 9 + 1\/4*b**o + 1\/4*b. Suppose n(q) = 0. Calculate q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -79?  (a) 4\/39  (b) 0.4  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8698465 is divided by 1087300.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -2*i**3 - 9*i**2 - 3*i + 1. Is b(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3\/2211365 + 13801129427\/340550210. Let y = v + -2\/77. Factor 2 + y*f**2 - 18*f.\nAnswer: (9*f - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1529497 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 8 + 0 - (3 + -3). Let q be g\/(-20) - 78\/5. Let p = 23 + q. What are the prime factors of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 154773948 divided by -101892.\nAnswer: -1519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -5.6 - -6. Let v = 59 - 63. Which is the closest to 0.1?  (a) -3  (b) v  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -35892 divided by -11964?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 1 x when two letters picked without replacement from ayziyax.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + -1 - -67 - (-910 - -962 - (41 - -1))?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve c + 22*g + 156 = 0, 1 = -6741*c + 6744*c - g for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 70\/5712069 and 65\/6.\nAnswer: 11424138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = 6*o - 5*y, -5*y = 4*o + 7 - 19. Solve q = -o*q + 3*x - 5, -3*q + 6 = x for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {g: 8, h: 1, i: 4}.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 15456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -1397865 divided by 105\nAnswer: -13313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) be the second derivative of y**8\/1680 + 7*y**4\/24 - y**3\/6 + 6*y. Let m(v) be the second derivative of n(v). What is the derivative of m(b) wrt b?\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-24)\/864*-24)\/(((-38)\/(-5472))\/((-1)\/2))\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 34 - 28. Suppose -4*b + h = -2. What is the closest to 1 in 5, b, -2\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4, 3, 10, 17?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -443 - 22?\nAnswer: -465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2343 + 1301?\nAnswer: 4144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -66 + 68. Suppose s = 4*n - 395, 501 - 111 = 4*n - q*s. What is the smallest common multiple of n and 8?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*s + 7 = s - 4*u, -3*s = 2*u - 7 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 30958945 to the power of 1\/2, to the nearest integer?\nAnswer: 5564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (-16)\/(-36)*7\/(-56)*-2\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 8*a - 6. Suppose -3*b = 5*c + 16, -4*c + 2*c - 8 = 2*b. Let v be (c\/4)\/((-1)\/6). What is the units digit of h(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4 - -6. Let x be 54\/(-2376)*(-2 - 24). Which is smaller: x or i?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 959.52 * 1353\nAnswer: 1298230.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q**5\/8 + 21099*q**4\/4 + 295311*q**3\/8 - 548519*q**2\/4 - 379719*q = 0. Calculate q.\nAnswer: -42191, -9, -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -61 in 0.5, 2\/5, 0.1, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -703, -2518, -5459, -9532, -14743, -21098?\n\"Answer: -t**3 - 557*t**2 - 137*t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 15 = -0*s. Suppose -s*v = -v - 26. Is 13 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -15*j**2 - 9*j + 18. Let h be (-7 + -17)\/(-2) - 3. Let g(u) = 8*u**2 + 5*u - 10. Let y(a) = h*g(a) + 5*t(a). Let o(b) = -87*b - 2. Determine o(y(r)).\nAnswer: 261*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (73*s - 81 + 81)*(4*s + 3*s - 4*s)*(3*s**2 - 6*s**2 + s**2) + 3*s**4 - 2*s**4 + 0*s**4 to x*s**4 + k*s**2 + f*s**3 + g*s + u and give x.\nAnswer: -437","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 63*l**3\/4 + 8*l**2 + l = 0.\nAnswer: -2\/7, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8)\/(-6)*(-471)\/314.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -39273*t**4 + 26*t**2 - 3*t - 2 wrt t.\nAnswer: -942552*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 5402926 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: Suppose 0 = -5*i + 19 + 21. Suppose 2*r - 7 - 3 = 0. Let b(h) = h**3 - h**2 - 7*h + 7. Let y be b(r). Calculate the greatest common factor of y and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*z - 3*n = 19 - 7, -2*n + 12 = -z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put together -137 and -3.\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.289 + 2.\nAnswer: 1.711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -50*u + 100 = -5*r, -9*u + 67 - 3 = 4*r - 4*u - 9*u for r.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 201 - 212.15. Let m = -11 - z. What is m rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -1*(((-49)\/119 - 7) + (3 - 2)). Which is bigger: 5 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*s - 3*s - 2*s)*(5*s + 5*s - 3*s) - 2*s - s + s**2 + 0*s.\nAnswer: 15*s**2 - 3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 970017 is divided by 718.\nAnswer: 717","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -174, -176, -178, -180, -182?\nAnswer: -184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4467 - -2.\nAnswer: 4469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 11986 + -10414. Does 6 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 64\/13 + -5 - (-15)\/((-9945)\/(-89556)) - -5.\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 34 + (-13 - -32) - 69?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = y**2 - y - 1. Let r(s) = s**2 - 2*s - 1. Let x = -8 - -5. Let j be -1 + -1 + (-4 - (-5 + -2)). What is j*r(v) + x*b(v)?\nAnswer: -2*v**2 + v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -25462889 != -25462889?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:30 PM and 8:54 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) be the first derivative of -m**6\/27 + 22*m**5\/45 - 43*m**4\/18 + 146*m**3\/27 - 56*m**2\/9 + 32*m\/9 - 130. Factor p(g).\nAnswer: -2*(g - 4)**2*(g - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-222)\/74*(-9)\/117.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 67 = -7*z + 12*z - m, 4*z + 4*m = 68. Differentiate z*p - 3*p - 8 + 0*p - 4*p wrt p.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor m**2\/4 + 25*m.\nAnswer: m*(m + 100)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 32015697 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) be the second derivative of -f**5\/20 - 2*f**4\/3 - 3*f**3\/2 - 3*f**2\/2 - 7*f. Suppose 16 + 5 = -3*l. List the prime factors of g(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 1 i when two letters picked without replacement from {y: 1, p: 2, i: 4}?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-4)\/(-3 + -1)*(43 + 0). Let q = k - 49. Is ((-3)\/9 + 5770\/q)\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 194691 to the power of 1\/2, to the nearest integer?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 990 a factor of 35083837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 0.2777416 milliseconds?\nAnswer: 0.0002777416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (4\/6)\/(2*(-1)\/(-4719)). Suppose r = -0*r + 2*d + o, 5*r - 7883 = 4*d. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -56378659 - -56377944.99679. Let c = -714 - j. What is c rounded to four decimal places?\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 631 + -626. What is the closest to -1\/3 in -3\/5, 3\/5, -0.087, c?\nAnswer: -0.087","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -83*c = -102*c + 23959. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 19134, 23867, 28600, 33333, 38066?\n\"Answer: 4733*a + 14401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 0*(0 - 1)\/1. Suppose j = 15 - i. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - -5 - (1 - (-4 + -3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Are 1.8 and -59.801 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -23 + 293. What is the lowest common multiple of 108 and d?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15817.\nAnswer: 15817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 793 + -441. Suppose -p = 58 - m. What is the highest common divisor of p and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1.23 + 0.13. Let q = 6.8 + -2.9. Let j = x - q. Which is the closest to 1\/2?  (a) j  (b) -0.5  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 84, -8, -67, 0, -1, -18 in descending order.\nAnswer: 84, 0, -1, -8, -18, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 4*w - 5. Let x be n(5). Calculate the greatest common factor of x and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 18 + -16. What is the derivative of 3 - v*x + 5*x - 11 + 5 wrt x?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*n - 171*m + 54 = -177*m, -5*n + 4*m + 50 = 0 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Product of 4 and -0.1295447.\nAnswer: -0.5181788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -22 - -24. Let l(p) be the third derivative of p**4\/8 + p**3\/6 + 2*p**2. Let h be l(k). Solve 0 = -h*w + 3*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 460 and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1814235 and 2449?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*y**3\/5 - 19974*y**2\/5 - 99792*y\/5 + 279496\/5 = 0. What is y?\nAnswer: -9982, -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 11 + -4. Let k(p) = 18*p - 8. Let c be k(2). What is the greatest common factor of c and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/4?  (a) -2  (b) -0.236  (c) 2\/371  (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 32\/(-1)*(-45)\/1680*14?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11614 is divided by 399.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -167\/42 and 4\/6 - 31*(-1)\/48.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n and 1 k when three letters picked without replacement from {m: 3, f: 4, k: 1, n: 2}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -5 + 8. Suppose n*f + 8 = 5*c - 5, 4*f - 2 = -3*c. Let i be (-2 + 2)*f - -2. Solve -y - 9 = i*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, 1\/43, -0.4, 4, 0.\nAnswer: -0.4, 0, 1\/43, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 30 + -26. Suppose 0 = i*q - 12, 2*j - 4*j - 2*q = -24. Let u = -5 + j. Let v(g) = g**2 - 5*g + 6. What is v(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 212973287940*a - 212973287940*a + 2*a**2.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = w**2 + 617*w + 3065. Give s(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 5, -10, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 712?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 23965629 divided by -826401\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1573) - -2*sqrt(1573)) + -1)**2*-6.\nAnswer: -84948 + 396*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 221360096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -c**3 - 9*c**2 - 7*c + 25. What is q(-8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 85 = 5*z - 5. Suppose 4*p + 1 = -3*b - 1, -4*b + z = -5*p. Is b + -1*3*-11 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {q: 2, e: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(33)\/(-2*sqrt(11)*-5).\nAnswer: sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1139.5 - -1139. Let n = -0.2 + -0.8. Let u = -3 + 3.5. What is the closest to n in u, -5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -20*b**3 - 31*b**2 + 7. Let n(g) = -7*g**3 - 11*g**2 + 2. Let v(i) = -6*f(i) + 17*n(i). Let q be -1 + (-1*10)\/(-2). Is v(q) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 31556 (base 8) to base 4\nAnswer: 3031232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find o, given that o**2 + 13970189*o + 27940374 = 0.\nAnswer: -13970187, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -771095, -1542189, -2313273, -3084341, -3855387, -4626405?\nAnswer: -5397389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = -320 + 67. Let i = c - 126. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 56*l = 57*l - 372. Is 31 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 1, u: 2, x: 6, o: 3, m: 1}. Give prob of sequence muo.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 21892088 is divided by 123684.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1 + 4\/(-4)*-1. Suppose 3*q + 89 = t*w, -30 - 60 = -2*w + 2*q. Let i = -15 + w. Is 13 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -95, 154, 557, 1102, 1777, 2570?\nAnswer: 3469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2966375599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (40000 + 0)\/(1\/250). Suppose 6*c + d = 4*c. Round c to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 74*p + 56*p**3 - 11*p**3 - 74*p - 2*p**3 - 25*p**3.\nAnswer: 18*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.0477 and -1.51.\nAnswer: -0.072027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) be the third derivative of -h**6\/60 - h**5\/3 - 5*h**4\/8 + 9*h**3\/2 + 47*h**2. Let s be f(-9). Solve 4*j + 3*y - 5*y - 8 = 0, 2*j + 4*y + 16 = s for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yvfvtf. Give prob of sequence ty.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 443945 or 2219724\/5?\nAnswer: 2219724\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 34091 - 0.14396328\nAnswer: 34090.85603672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -j**2 - 1132*j + 4544.\nAnswer: -(j - 4)*(j + 1136)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -2*b. Let n(s) = 7*s + 11*s - 23*s. Give w(n(j)).\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f**(-5)*(f**(-8)*f)\/f)\/(f*((f\/((f*f*(f\/((f*f**2*f)\/f))\/f)\/f))\/f)\/f)**(-22\/3) assuming f is positive.\nAnswer: f**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10*q + 18*q**3 + 10*q)*(-3 - 26 - 43).\nAnswer: -1296*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*r + 3*r - r)*(-2*r + 4*r - r) + r**2 - 3*r**2 + 4*r**2.\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2325)\/(-20) + (-4)\/16. Calculate the greatest common divisor of 29 and p.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 27 - 21. Suppose -j*t - 55 = -7*t. Suppose 3*z - 4*z + t = 0. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 3252 - n - 3252. Let x(s) be the second derivative of -s**4\/3 + s**2 + s. Let q(h) be the first derivative of x(h). Determine q(f(t)).\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -89.3 + 1.3. Let y = -88.07 - n. Which is the nearest to 1?  (a) y  (b) 5  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*g + 2*h - 45 + 15, 3*g + 2 = -2*h. Let p be ((-6 - -3) + 7)\/(g\/(-6)). Calculate the greatest common factor of p and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -t**2 + 3*t + 137. Give w(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 74 = -8. Let r(z) = 21*z**2 + 2*z + 1. Let k be r(-1). Let x = a - k. Does 7 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -13\/4815 and 77\/459?\nAnswer: 245565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b**5\/11 - 28*b**4\/11 + 59*b**3\/11 - 30*b**2\/11 = 0. What is b?\nAnswer: -30, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from ggzez.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*f = -7*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 21 and 4780629?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 0.4, 10\/7, -6.6, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 3*a - 2. Is (116\/10)\/(a\/5) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/5?  (a) 3  (b) 2  (c) 2\/3  (d) -1159\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:02 AM and 3:51 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2)\/(-4) - 435\/(-6). What is the derivative of -133*m**3 + 70*m**3 + 8 + o*m**3 wrt m?\nAnswer: 30*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -0.7  (b) 3\/5  (c) 3\/7  (d) -3.6  (e) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = x**2 + x + 10. Let y be (12\/10)\/(3\/15). Let c be y\/3 + -1 + -1. Calculate the lowest common multiple of a(c) and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -11*m - 2. Let r = 2 - 4. Suppose 0*g - 2*g = -12. What is the least common multiple of g and d(r)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 9*c - 932. Let k(y) = 5*y - 447. Give -5*k(l) + 3*o(l).\nAnswer: 2*l - 561","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 2*i + j = -6, -i + 2*j + 6 = 0. Solve -4*x + i*b = 6, 5*x + 4*b + 5 = 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 894952 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2838160 is divided by 89?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1776\/148*(-1)\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from quqzzzzzquzzuzzzzqzz?\nAnswer: 39\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.24263778 rounded to 3 decimal places?\nAnswer: 0.243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 9595.22 rounded to the nearest 10?\nAnswer: 9600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 9084, 18266, 27654, 37350, 47456, 58074?\nAnswer: 69306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from scioobsiwswo. Give prob of picking 1 o and 1 i.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -2 - (2 + 81\/(-3)). Suppose -19 = -5*v - 4, -2*m = -v + z. Let w = -4 - m. Let r(a) = a**2 - 5*a - 6. Calculate r(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*t**2\/9 + 20*t\/9 + 8\/3.\nAnswer: 4*(t + 2)*(t + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 30\/(-12)*4\/15. Let d = 7 - 9. Which is the nearest to f?  (a) 1\/3  (b) d  (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f = -0*f + 3. Let i(m) = 1 + 2 + 3*m + f - 3*m**2 - 9. Let w(y) = y**2 - y + 2. Let g(s) = -2*i(s) - 5*w(s). Give g(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -s**2 - 4*s**2 - 2264*s + 3*s**2.\nAnswer: -2*s**2 - 2264*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4212 and 182?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1307785 to the power of 1\/4, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 17558, 17561, 17568, 17579, 17594, 17613?\n\"Answer: 2*v**2 - 3*v + 17559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.089, -78, 1\/10, -42 in decreasing order.\nAnswer: 1\/10, -0.089, -42, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide 197067 by -3.\nAnswer: -65689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 833978 is divided by 138854.\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/106 in -4.1, 151\/17, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 13*r**2 + 189*r - 190. Let y be o(1). Calculate the greatest common factor of y and 202.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -83.289 + -7188732\nAnswer: -7188815.289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 12, -2, 2, -6, 5249?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*d**3 - 388*d**2 - 5928*d.\nAnswer: -4*d*(d + 19)*(d + 78)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 143 - 224. Let f = z + 113. Let d = 39 - f. Calculate the greatest common divisor of 63 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3 - 3. Let z be 3 - 13\/5 - y. Factor -2\/5*r**2 - 4\/5*r**3 + 0*r - z*r**4 + 0.\nAnswer: -2*r**2*(r + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2932278, 2932270, 2932258, 2932242?\nAnswer: 2932222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 18 and ((-21)\/(-9))\/(1\/6).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 52 divide 8944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 238 and 2124?\nAnswer: 252756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (19 - -5) + 0 - 9 and -49\/303?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = y**3 + 4*y**2 + 3*y + 1. Let l be g(-2). Suppose f - 9 = l. Calculate the common denominator of -107\/18 and (-4)\/(-4) - (-41)\/f.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-2)\/16*-2 - 9\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) be the second derivative of -1\/20*f**5 + 0*f**2 + 0 - f**3 + 7\/12*f**4 + 17*f. Let l(u) = u**3 - 6*u**2 + 5*u. Calculate 7*l(m) + 6*q(m).\nAnswer: m**3 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/102009735 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: What is -6362.4101 rounded to the nearest 100?\nAnswer: -6400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 4\/10*(-15290)\/(-418). Is a <= 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1082809 to the power of 1\/4, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) be the third derivative of 0*h + 27*h**2 + 0*h**3 + 53\/24*h**4 + 0 + 0*h**5 + 0*h**6 - 17\/210*h**7. Find the second derivative of t(d) wrt d.\nAnswer: -204*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 2*i**2 + i**3 + 1 + 2 + 2*i - 1. Suppose 3*o + 2*y = -23, -5*y - 37 = 2*o - 7. Let p(c) = 3*c**3 + 4*c**2 + 4*c + 5. Determine o*m(j) + 2*p(j).\nAnswer: j**3 - 2*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 155553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.09755117 rounded to 2 dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 1683592?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1 - 49?\nAnswer: -4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -r - 2 + 7. Sort 8, -5, r, -3, -2.\nAnswer: -5, -3, -2, r, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (1\/24)\/((-39)\/1612) and -21\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -2203*z. Let a(j) = j**2 + 49*j + 14. Let q(u) = -u**2 - 42*u - 12. Let p(y) = -6*a(y) - 7*q(y). Calculate r(p(f)).\nAnswer: -2203*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1663556\/27123 + -4\/9041. Which is the nearest to -1?  (a) 4  (b) x  (c) 1\/18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -23*n**4 - 191*n - 2. Let b(z) = z**4 + z**3 - z + 2. Let c(q) = -b(q) - l(q). What is the second derivative of c(k) wrt k?\nAnswer: 264*k**2 - 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from vggvvgvgvgvvgggg?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 350 divide 14035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 819182?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 6839168532 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10*((-5757)\/(-38) - 157).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d + 3 = 3*d. Let b(p) = p**2 - 6*p + 4. What is the least common multiple of b(6) and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 10 + 11)*(0*j + 2*j - 3*j + (-5*j + 4*j + 2*j)*(1 + 5 - 4) - 5 - 6*j + 5).\nAnswer: -30*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 210020121121101 (base 3) in base 14?\nAnswer: 16dc85b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.9768ml in litres?\nAnswer: 0.0049768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -10895 + 9?\nAnswer: -1088a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000008081 rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*w + 219 = 134 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.1 - 0.1. Let n = 0.06 - 81.76. Let y = n + 82. Which is the second smallest value?  (a) k  (b) 5  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.9 and -26678.\nAnswer: -26678.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -25 - 7 - (106 - 143) - -31?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 231, 239, 229, 189, 107?\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -4, -7, -2324, 4, -8 in decreasing order.\nAnswer: 4, 1, -4, -7, -8, -2324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 - 85*h**2 - 4.\nAnswer: -85*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 726523939 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*s + 22 = -15*s. Let m(l) = 4*l**3 - l**2 - 2*l - 2. Determine m(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 9) in base 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 472 + 228 = 5*v. Suppose -4*i + v = i. Is 14 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 21 in -5, -4\/5493, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {t: 2, e: 13, q: 5}.\nAnswer: 39\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence adtt when four letters picked without replacement from tdaddtttddd?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.2, 0.2, 12584694?\nAnswer: 12584694","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 192*p**2 + 5*p**3 + p - 97*p**2 - 104*p**2 + (p - p - p)*(-10 + 23*p**2 + 10).\nAnswer: -18*p**3 - 9*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ogc when three letters picked without replacement from gaxocok?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 4 = -2*z, 5*s - 2*z = 11. Let b = -2 - -6. Which is smaller: s or b?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -25856, -51769, -77754, -103847, -130084, -156501, -183134?\n\"Answer: -6*s**3 - 25871*s + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.02116 - -0.0211617568. Round c to seven decimal places.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -76*h**3*s**5 - h**3*s**2 + 6*h**2*s**2 + h**2 + s**6 wrt s.\nAnswer: -4560*h**3*s**2 + 120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.4, -3\/2, 8\/7, -3 in increasing order.\nAnswer: -3, -3\/2, -0.4, 8\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1599628\/(-48720) + (-2)\/(-4). Let t = 1\/4060 - p. Let y = -673\/21 + t. What is the smallest value in y, -1, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -z**3 + 3*z**2 - 3*z + 4. Let p be s(2). Suppose -3625 = p*v + 3*v. Let r = 1308 + v. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -j**2 - 6*j - 4. Let a(i) = i**2 + 6*i + 3. Suppose 20 = 5*n - 0*n. Let b(y) = n*f(y) + 5*a(y). Let q be b(-8). Solve 0 = 5*s + 10 + q for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2\/9*p**2 + 4\/3*p - 2.\nAnswer: -2*(p - 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 at least 1760?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 1186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 60, 3, 30, -10594 in decreasing order.\nAnswer: 60, 30, 3, -10594","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 4, m: 3, s: 4, v: 6}. What is prob of sequence vl?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 84887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 3707 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -h - 21. Let r(m) = -7. Let b(x) = 2*f(x) - 7*r(x). What is b(9)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -301 - -297. What is the biggest value in g, -15, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 77599 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -17 in 5, 1\/2, -87?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k, 1 i, and 1 h when three letters picked without replacement from {i: 2, e: 4, b: 2, k: 7, h: 1}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-4020)\/(-42) - (-2)\/7. Let y = l - 668\/7. Factor 32\/7*j**2 + 2*j**3 + 22\/7*j + y.\nAnswer: 2*(j + 1)**2*(7*j + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -14769267*x**2 + 551370*x + 34 wrt x.\nAnswer: -29538534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*x - 8 = -a, -22457*a + 22456*a + 11 = 5*x for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.288 + -0.4. Let v = -0.09 - u. Let c = v - 5.322. What is c rounded to 0 decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x = -3*p - 225, 0 = -5*x + 3*p + 54 + 231. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from edemgumzzmgggmg. Give prob of sequence uged.\nAnswer: 1\/3276","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -74924*d*p**2*u - 274*d*p*u - 153385*p**2*u + p**2 + 78 wrt d.\nAnswer: -74924*p**2*u - 274*p*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) be the third derivative of 9*r**6\/100 + 109*r**5\/150 + 28*r**4\/15 + 4*r**3\/15 - 5420*r**2. Factor n(k).\nAnswer: 2*(k + 2)**2*(27*k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -35*(-27)\/15*12\/36. Is 182\/9 equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k**5 + 210*k**4 - 4227*k**3 + 14136*k**2 + 138384*k = 0.\nAnswer: -4, 0, 12, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 7487989 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*m**2 - 2*m**2 + 3*m**2)*((-3*m - m + 2*m)*(-m + m + m) - 247 - 8*m**2 + 247) + 0*m**3 - 7*m**4 + 0*m**3.\nAnswer: -17*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -4*p - 34. What are the prime factors of 2\/(-2) + (-1 - p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/3)\/(48\/720).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/5 of a centimeter in micrometers?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 0.0886046kg?\nAnswer: 88604600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1, -0.46, 1\/7, 2\/15?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 447471 to the power of 1\/3, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand 249 - 2*t - 6*t**2 + 289 + 135 + (-4*t + 3*t + 3*t)*(-1 + 1 - t).\nAnswer: -8*t**2 - 2*t + 673","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1163 - 1132. Calculate the greatest common factor of 1922 and m.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -18 + 9 + (-18)\/((-378)\/399)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) be the first derivative of k**3\/3 - 11*k**2\/2 + 6*k - 12. Does 18 divide m(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -15\/11 + 23\/33. Let x = 876 - 878. Which is the nearest to x?  (a) -1\/8  (b) 1\/2  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*c**3 - 5*c**3 + 0*c**3)*(-5 + 5 + 3*c) + (-c**2 + 2*c**2 - 2*c**2)*(-2 + 2 + c**2).\nAnswer: -34*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xewx when four letters picked without replacement from xwxewwwx.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -3*u + 3. Calculate m(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jwl when three letters picked without replacement from {j: 3, l: 1, w: 4}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 433187697?\nAnswer: 3, 179, 769, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -11954 minus 0.9?\nAnswer: -11954.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 43601*g + 305251. What is r(-7)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -81c6 + -24c?\nAnswer: -8423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = -3*t - 0*t + 6, -3*t - 2*n = -9. Let l(z) = -z**3 + 6*z**2 - 5*z - 8. Let a be l(t). Let o be ((-18)\/a)\/(9\/24). Solve -3*f - 3 = o for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 2 + 4)*(-y - 20 + 3*y + 18).\nAnswer: 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 4\/14 - 51832\/(-133). Suppose 2*s = -3*s + u. Let d = -47 + s. List the prime factors of d.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 21\/40 in -2\/15, 3, 1\/5, -2\/9, -28\/9?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - (0 - (-5 - 0)) - (-1918 - -1910)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.1547 + 0.2547. What is the smallest value in 3, 1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 247160?\nAnswer: 2, 5, 37, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -f**2\/4 - 875233*f\/2 - 766032804289\/4.\nAnswer: -(f + 875233)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*k + 24*k + 16 = 0. Let y be 12*(k - 4)\/4. Let x = -18 + 42. Calculate the highest common factor of x and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 2.413 and -0.5.\nAnswer: -1.2065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -h**2 + h. Let b(n) = -277*n. Give b(u(c)).\nAnswer: 277*c**2 - 277*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) be the first derivative of -z**3\/3 - 2*z**2 + 25*z - 39. Let m be t(-7). Let c be (-1)\/((-2)\/(-12)*-1). Is m >= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 8 - 5. Suppose 0 = 3*h + p*t, -2*t + 6*t = 3*h - 7. What is the highest common factor of h and 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1722 + -1709. Let c(s) = s**2 - 7*s + 3. What is the remainder when u is divided by c(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2.6 - 6.6. Let f = 0.1 + -0.3. Which is the third biggest value?  (a) 2\/15  (b) f  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = l**3 + 13*l**2 - 3*l - 39. What is k(-13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1501*c**6 + 1343*c**4 + 64026124*c**2 wrt c.\nAnswer: -180120*c**3 + 32232*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -96 in -1\/5, 2\/17, -4, -2.16, -5, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 10 and 2225.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) be the second derivative of 0 + 2\/17*w**2 - 4*w + 1\/170*w**5 - 1\/51*w**4 - 1\/51*w**3. Solve c(m) = 0 for m.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j = 5*j + 16. Let n(i) = -i - 6. Let h be n(j). Put -4, h, 3 in ascending order.\nAnswer: -4, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = i**2 - 69*i + 1130. Calculate t(26).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -n**3 + n**2 + 18. Let v = 62 - 62. Give w(v).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:22 PM and 5:32 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -f - 1. Suppose 2*q + 2*d + 7 = -q, 0 = -5*q + 4*d - 19. Let s be i(q). Let v(l) = 1 + s*l + 2 - 5. Give v(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 111122013 (base 4) in base 3?\nAnswer: 11110021200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 30 and 246?\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -72 + 304. Let o = h - 231.999688. What is o rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*c + 43*c = -24*c. Put -1, c, -133, 3 in descending order.\nAnswer: 3, c, -1, -133","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 1434*j**2*p**3 + j**2*p - 40*j**2 - j - 2*p**4 - 3 wrt p.\nAnswer: 4302*j**2*p**2 + j**2 - 8*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7042?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 8372 and 88956686?\nAnswer: 4186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) be the first derivative of a**3\/3 - 14*a**2 + 102*a - 29. What is j(23)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 (base 5) in base 13?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 131490?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -6 + (9 - -8) + -7\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-171)\/(-228)*(-4)\/15.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s = 4*q - 16, -3*s + 0*q + q + 13 = 0. Suppose -s*v - 162 = -2*y, -y = -3*y - 4*v + 138. What is the highest common divisor of 15 and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1281308*z**2 - 1281330*z**2 + 2562633*z**2.\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 30 a factor of 37584569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -209, -207, -205?\n\"Answer: 2*a - 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 5*n - 1. Determine m(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 8439263 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9472047?\nAnswer: 3, 13, 242873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 + 624*b - 473*b - 388*b in the form z*b + u and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-5000)\/(-160) + (3 + 15\/10)\/6. Solve -38*z = -g - 120 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2244 and 20358?\nAnswer: 7613892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5\/13 + -2\/39. Let d = -0.7 + 0.29. Let o = 0.41 + d. What is the second biggest value in -8, o, h?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -66 - -116. Suppose 0 = 2*y + 2*v - l, 2*v - 5 = v. Suppose -3*s + y = 5*a - 8, -5*a = -25. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -16*l**3 + 1138*l**2 - 146*l + 309. What is p(71)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.19 + 0.25. Let w = 31\/11 + -3. Which is the closest to -1?  (a) 1\/4  (b) q  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 3*s - 2. Let x(d) = 9*d - 10 + 22 - 8 - 10. Give -7*u(n) + 2*x(n).\nAnswer: -3*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 306444, 612894, 919344, 1225794, 1532244, 1838694?\nAnswer: 2145144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 931 and 62701919?\nAnswer: 931","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 1, t: 1, j: 2, q: 2, p: 2}. Give prob of sequence jqj.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -14 - -16. Suppose -r*f = -4*o - 24, 2*f - 6*f + 4*o + 40 = 0. Solve t = -5 + f for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2?  (a) 8  (b) 4\/3  (c) -0.4  (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -33*h - 5. Suppose c = 6*c - 40. Let t(b) = 22*b + 3. Let l be (-3)\/(-15) - 48\/(-10). Let n(p) = c*t(p) + l*d(p). Calculate n(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -145*s = -189*s + 220 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 2*n - n - 2 - 6*n**3 + 1 + 2. Let y be p(-3). What is the greatest common factor of y and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.2 - -1. Let v = -16.113 + 16. Let m = 0.513 + v. What is the second biggest value in g, m, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1\/2*2\/4. Let z be ((-2)\/6)\/((-20)\/432). Let q = 32\/5 - z. Which is the third biggest value?  (a) -3  (b) h  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 29 divide 3757211?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + 4*h - 4*x = 788, 0 = -h - 4*x + 172. Let n be (-3)\/4 + 152\/h. Which is the third smallest value?  (a) n  (b) -5  (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -86.8*7.1\nAnswer: -616.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -151, -3, 0, 2, 4 in descending order.\nAnswer: 4, 2, 1, 0, -3, -151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 431 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) be the second derivative of h**5\/90 + 3*h**4\/2 + 81*h**3 + 41*h**2 + 110*h. Let u(z) be the first derivative of p(z). Let u(r) = 0. What is r?\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -581*r - 2202. What is the remainder when 458 is divided by x(-4)?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 119440 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -287752*d - 55463 wrt d.\nAnswer: -287752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Total of -2483397 and 275281.7.\nAnswer: -2208115.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + (22 + -12 + 13 - 5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*c**2 - 4*c**2 + 3*c**2 + (-18*c + c + 63*c)*(-1 + 2*c + 1))*(4*c**2 - 2*c**2 - c**2) to s + z*c**3 + t*c**2 + r*c**4 + h*c and give r.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 13\/5 of a centimeter?\nAnswer: 26000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.181822 rounded to 4 decimal places?\nAnswer: -0.1818","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -44778.1364 rounded to the nearest one thousand?\nAnswer: -45000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 115 - 60. What is the third derivative of -7*v**2 - 5*v**3 - 55*v + j*v wrt v?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -515203011 (base 6) to base 2\nAnswer: -100010000011100100001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -20098020 to the nearest 1000000.\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c = -5, -7*p - c - 34 = -2*p. Let q be ((-1)\/(-2))\/(p\/(-84)). Let z = -5 + q. Solve -4*r + z = 2*t + 5, -t = 4*r for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -132966*p**3 - 5 + 4 + 132969*p**3 + 1.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Add -49 and -29.0112227.\nAnswer: -78.0112227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-2*sqrt(931) - (5 + sqrt(19)*1))*-5 - ((sqrt(95) + (sqrt(95)*1 - sqrt(95)))*3)\/(sqrt(55)\/(2*sqrt(11)))) + 1)**2.\nAnswer: 3588*sqrt(19) + 91135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) be the first derivative of 4*i**5\/5 - 48*i**4 + 2488*i**3\/3 - 2208*i**2 + 2116*i - 31. Factor x(o).\nAnswer: 4*(o - 23)**2*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -g**2 + 233*g - 2437. Let a be n(11). Solve -a*k = -5*q - 5, -6*q + 2 = -5*q for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-b**2 + b**2 + 3*b**2)*(23893 - 23893 + 52*b + (-30 - 9*b + 30)*(-4 - 3 + 5)).\nAnswer: 210*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 430 is divided by 45?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Product of -537 and -0.8.\nAnswer: 429.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 127*d - 152*d + 596 + 504 = 0 for d.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is n in 157*n**2 + 0 + 283*n**3 - 231*n**3 + 47*n**2 + 4*n**4 + 0 + 252*n = 0?\nAnswer: -7, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 43\/2 of a hour in seconds?\nAnswer: 77400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 343, 336, 317, 280, 219?\n\"Answer: -q**3 + 344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(153)*2)\/(sqrt(18)\/sqrt(18)).\nAnswer: 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 25\/411 and -35\/18.\nAnswer: 2466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 15568 and 266324?\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -26617268*k**3 + 2183*k**2 - 3013*k.\nAnswer: -159703608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -7\/3  (b) 0.1  (c) -16  (d) 3  (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) be the third derivative of w**9\/20160 - w**7\/3360 - w**4\/24 + 2*w**2. Let t(q) be the second derivative of p(q). Let t(f) = 0. What is f?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + 6 = 0, 2*f - 129 = -5*w - 0*f. Let g be (-1602)\/w + (-4)\/6. Let s = g + 86. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7d5129 (base 16) to base 8.\nAnswer: -37250451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3875 and 744?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = t**2 - t + 5. Let r(q) = -1. Let y(u) = -b(u) - 2*r(u). What is y(3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*n + 12159 = 12303 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -l + 2*a - 4*a, 8 = 3*l - 2*a. Suppose l*d - g - 5 - 37 = 0, 4 = -2*g. What is the smallest common multiple of d and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = 4*c + 107 + 445, 0 = c + m + 138. Let b = 139 + c. Solve 0 = q - 2*q - b for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = h**2 + 22*h + 44. Let g be c(-20). Suppose -4*x = -8*x - 8, -g*x = k + 16. What is the least common multiple of 64 and (k\/(-6))\/(4\/6)?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 2709390257?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 1034 divide 42695928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 19507672 or 19507670?\nAnswer: 19507672","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p = -3*j + 12, 7*j = -p + 3*j + 16. Suppose -4*y - 3*o - 31 = p, -o - 13 = y - 4. What is the tens digit of 14430\/296 - (-1)\/y*-1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6309 - (-2 + 6\/(-12)*-16) a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 324322.5 nanoseconds?\nAnswer: 0.000005405375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4*2\/(-48))\/(42\/224)?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 780 = -4*j + 17*j. Calculate the remainder when j is divided by 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -o + o - 3645 - 27*o**3 + 3691 wrt o.\nAnswer: -81*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*m + 8 = -13*m. Let q be (-9)\/m - ((-28)\/(-8) + -3). Let t be -11*(3 + (-5 - q)). Calculate the highest common factor of t and 99.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.361972864 rounded to five dps?\nAnswer: -2.36197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*l = 7*l + 12*l - 16. Let r = 98 + -29. Let v(f) = 1 - r*f + 7 - l. Let z(n) = -n. Calculate z(v(g)).\nAnswer: 69*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 4, a: 2}. What is prob of picking 2 t and 2 a?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + c - t = 45, 4*t - 18 = -c. Calculate the least common multiple of -6 + 2 + (13 - -1) and c.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1585 = 707*p - 15018 for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1780087 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 3*w. Let a be r(-2). Let f be -1*a\/17*12\/36. Let n = 1 + 0. What is the nearest to n in 2\/9, 3, f?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) be the second derivative of -j**5\/30 - j**4\/6 - 2*j**3\/9 + 9*j. Find q such that i(q) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3731 is divided by 1234.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10, 2\/5, -5, 0, -0.005.\nAnswer: -5, -0.005, 0, 2\/5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 2*j**2 + 5*j + 2. Let s(g) = -8*g**2 - 19*g - 9. Let o(x) = 2*s(x) + 9*w(x). What is the units digit of o(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22339 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*w**3 - 10*w**3 + 5*w**3)*(w + w + 0*w) - 41*w - 11*w**4 + 41*w.\nAnswer: -25*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**13\/i)\/i**(28\/9) assuming i is positive.\nAnswer: i**(80\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 46075?\nAnswer: 5, 19, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r = -3*t + 69, r - 2*r = 5*t - 31. Let o = r + -18. Is o even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 264 less than -106.65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 1. Let p(f) = 5*f**2 - 2*f - 10. Let d(z) = p(z) + 4*x(z). Let o(m) = 2*m**2 - 335 + 110 + 110 + 110 - m + 2*m**2. Calculate -2*d(t) + 3*o(t).\nAnswer: 2*t**2 + t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -18*b + 5*b**5 + 50*b - 27*b - 10*b**3.\nAnswer: 5*b*(b - 1)**2*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*o**2 - 36*o + 38.\nAnswer: -2*(o - 1)*(o + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (37584\/360*(-10)\/(-9))\/(-3 + -1).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -122 + 122.0069. Round a to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = 7*f + 6. Let s be r(-3). Let m = 16 + s. Is m less than 1\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -625 - 75\/2*h**2 + 5\/2*h**4 + 35\/2*h**3 - 875\/2*h.\nAnswer: 5*(h - 5)*(h + 2)*(h + 5)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) be the third derivative of -m**5\/60 + 23*m**4\/24 - 19*m**3\/2 + 45*m**2. Let l be u(20). What is the highest common factor of l and 75?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 285948?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 4 + 1)*(7*p - 3*p - 3*p) + (2 - 3 - 9)*(-p + 0 + 0) to the form h + s*p and give s.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) be the first derivative of x**6\/120 - x**5\/20 - 3*x**3 + 10. Let r(y) be the third derivative of k(y). What is q in r(q) = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -63 + 8 = -5*p. Suppose 0 = -w + 3 + p. Suppose -4*h + 56 = -0*h. What is the least common multiple of h and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:07 AM and 5:31 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-33 - -25) + (-177)\/(-21) + (-28)\/(-49)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2225356.\nAnswer: 2, 7, 19, 47, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) be the first derivative of 3*f**2 + 1 - 6*f + 2*f - 3. Let y be z(6). Calculate the highest common factor of 48 and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -456*l**3*p + l**2 - 1613*p + 5 with respect to l.\nAnswer: -1368*l**2*p + 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - 2*i - 414 = 0, 0 = j + 4*j + 3*i + 2105. Let a = j - -454. Calculate the smallest common multiple of 2\/3 - 388\/(-12) and a.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 2*a**2 + 243*a + 1577. What is y(-7)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/2)\/((-10)\/(900\/(-15))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) be the third derivative of -1\/120*s**6 + 0*s**4 + 0 + 6*s**2 + 0*s + 2\/3*s**3 + 1\/20*s**5. What is the least common multiple of n(3) and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -452*q + 97. Let w(v) = 2*v. What is c(w(u))?\nAnswer: -904*u + 97","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.006, -2\/11, -2\/7, -0.5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -173 - -555. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 814\/(-74)*(-2)\/(-55).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.1 from 2294541421558.\nAnswer: 2294541421557.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -51446 + 75733. What is the highest common factor of 163 and z?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -32051.4 rounded to the nearest 1000?\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2114745*c + 866774 wrt c.\nAnswer: 2114745","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (7\/28)\/((-3)\/(-16))*(-54)\/(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 3, b: 2, m: 3, y: 2, o: 6, s: 2}. What is prob of picking 2 y?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -1*(1 - 1) - -3. Suppose -s*d - d = -12. Suppose -5*r + 2 = -d*r. Is 1 greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-44 + 5850\/135)*3\/(18\/3).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -203\/2 - -1605\/16. Find the common denominator of d and -7\/10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-4)\/(-5))\/(10\/(-75)). Is 3*(-3 - 28\/g) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 8572 = -6*k + 3*u, 17144 = -4*k + 3*u. What are the prime factors of (-4)\/(-16) - k\/8?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 180 a factor of 181980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3954 - -4220. Is 19 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -111 - -1 - (-2447 - -2397)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) be the third derivative of -d**5\/30 + 5*d**2 + 203*d + 1. Let n(w) = -4686*w**2. Determine n(r(s)).\nAnswer: -18744*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -8*v + v + v**2 - 4*v + 5*v + 5. Let k be a(5). Suppose k = 15*p - 14*p - 6. Solve 4*i = p*i + 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 1 t when two letters picked without replacement from rata?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 - 2 + 2*r**2 + (81 + 84 - 171)*(0*r**2 + 0*r**2 + 2*r**2) + (-31 + 31 - 11*r)*(-1 + 1 - 2*r).\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 39*k + 4 = 35*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 831688261 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.0051 - 0.0051. Sort -684, a, 0.4 in descending order.\nAnswer: 0.4, a, -684","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m + 12 - 92 = 0. Let n = 23 - m. Suppose -3*r - 234 = -5*s, n*s - 3*r = 54 + 84. What is the highest common divisor of 12 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12423492 a multiple of 443?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.32*-92.\nAnswer: 29.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 35222004.\nAnswer: 2, 3, 978389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -7*m**3 + 2*m**2 - 4*m - 9. Let k = -110 + 106. Is d(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -47 + (-8 - -116) + -55\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 11120 + 1132133?\nAnswer: 1203313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 2549, 0.0326, 2\/11 in increasing order.\nAnswer: 0.0326, 2\/11, 2549","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (3\/(-6))\/(4\/(-176)). What is the greatest common factor of 176 and w?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15 + 5*t - 3*t + 3*t + 69 + 3.\nAnswer: 5*t + 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (370\/(-4))\/(10\/8*(-40)\/(62 - 22)).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 246 divide 3437434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5 - 7) + -7 + 14 + -4 + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -356*r**2 - 2*r. Let j(s) = -9187*s - 3. Give j(y(f)).\nAnswer: 3270572*f**2 + 18374*f - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = 16*q**2 - 10*q - 10. Let g(w) = 5*w**2 - 3*w - 3. Let c(r) = -3*b(r) + 10*g(r). Suppose 3*h + h - 20 = 0. Let d(t) = -3 + 3 + h*t. What is d(c(s))?\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) be the first derivative of -c**3\/3 - 6*c**2 - 29*c - 9. Let t be p(-5). List the prime factors of t\/12*2*31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -88*p + 4860 - 8204 = 0 for p.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 521.4983 micrometers?\nAnswer: 0.05214983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = d**3 + d**2 + d - 15. Let h be p(0). Let a(i) = i + 47. Calculate the remainder when a(0) is divided by h*(-8)\/6 + -4.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1512 by -1762.\nAnswer: -756\/881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 68 = -5*c + 413. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-102)\/(-85)*((-1925)\/429)\/(-35)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 85371829*z**2 - 83804310 wrt z?\nAnswer: 170743658*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20364.\nAnswer: 2, 3, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 106697861 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 69318 (base 10) to base 16.\nAnswer: 10ec6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 7573783 to the nearest integer?\nAnswer: 2752","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 132 = -t. Let k = -11 + t. Let m = 27 - 15. What is the remainder when k is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -70*m + 593 - 593 + (-m - 2*m + 0*m)*(0 + 0 - 1) + 3*m - 2*m - 3*m to o*m + f and give o.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.133?  (a) 4  (b) 18  (c) 0.9705\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 - 2 + 1)*(-8*z**2 - 3*z**2 + 4*z**2) to w*z**2 + d*z + c and give w.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -420 - -450. What is the nearest to 2\/3 in 0, 5, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 152\/13 or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put together 4857567 and 0.4.\nAnswer: 4857567.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -t**3 - 5*t**2 + 6*t + 1. Let l be u(-6). Which is the closest to 5?  (a) 2  (b) -4  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1082?\nAnswer: 2, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -170 - 124 + 294 + y. Let u(b) = 2*b - 6. Give u(h) - 6*w(h).\nAnswer: -4*h - 6","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: What is 33052532 to the power of 1\/2, to the nearest integer?\nAnswer: 5749","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w**4\/5 - 28*w**3\/5 + 114*w**2\/5 - 144*w\/5 = 0. What is w?\nAnswer: 0, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = b**3 - 6*b**2 - 6*b + 3. Suppose 2*n = -15*n + 102. Give y(n).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -79603, -159280, -238957?\n\"Answer: -79677*i + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2.2 + -2.8. Let x = 12.127 + -0.127. Let r = x + u. What is the second smallest value in 2, 3\/2, r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 28005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 2611791191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u - u = -2. Let a be (12\/(-5))\/(12\/40). Does 18 divide u\/a - (-145)\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -7*z**5 + 15*z**4 - 6*z**3 - 18*z**2 + 6*z. Let q(g) = -g**5 - g**4 + g**2 - g. Let c(f) = -l(f) + 2*q(f). Find r, given that c(r) = 0.\nAnswer: -1, 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -t + 3*f + 39 - 13, 2*t - 5*f - 6 - 24 = 21 for t.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) be the third derivative of -w**5\/60 + w**4\/3 - 5*w**3\/6 + 2*w**2. Let l be z(7). Suppose -7 = -l*n + 11. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -c**2 + 7*c + c - 8*c.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 55 + 1?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 364.115 to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 233221 (base 4) to base 2.\nAnswer: 101111101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 248 is divided by 242.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:34 AM and 10:57 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -5*3*(-8)\/(-20). Let o be m\/9 - 42\/18. List the prime factors of (o\/(-9))\/((-3)\/(-36)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3990968957?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 7.2 - 4.2. Suppose 5*h = -l - 19, -3*l - 3*h = -2*h + 15. Is l not equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.149 - 0.049. What is the fourth smallest value in -1, 4, -0.4, p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*u - u - u)*(-u + u + 2*u)*(-13 + 1100 + 53) to n*u**2 + f*u + v and give n.\nAnswer: -4560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 - -19 - (15 - (-12 - -18))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.36671ug in milligrams?\nAnswer: 0.00036671","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = -0*r - r. Suppose 5*y = -t + 6*t + 5, r = -5*y - 4*t + 41. Solve y*q = -3*f + 2*f - 7, 10 = -5*f for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 84, -5, -649, -3.\nAnswer: -649, -5, -3, 1, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 3*a**2 + 2*a. Let h(g) = -4*g**2 - 3*g + 1. Let q = -11 - -14. Determine q*d(l) + 2*h(l).\nAnswer: l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 = -0*n - 2*n. Suppose g = 2*g + 4*k - 80, 3*k = n. Suppose -18*j + 17*j = -g. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/5?  (a) -38\/37  (b) -3\/4  (c) 1\/4  (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2707?\nAnswer: 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 0.2, 1\/2, -104?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 6*t + 18 = 0. Let c(z) be the second derivative of -1\/6*z**3 + z**2 + 1\/20*z**5 + 1\/2*z**4 + 0 - z. What is c(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from wxwwwwwwwwwwowwwx.\nAnswer: 143\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -h**4\/7 + 18*h**3\/7 + h**2\/7 - 18*h\/7.\nAnswer: -h*(h - 18)*(h - 1)*(h + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*j + 1025 = 30613. Which is smaller: 1136 or j?\nAnswer: 1136","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -19*j - 4. Let a be n(-14). Let g = 402 - a. What are the prime factors of g?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -160, -322, -518, -754, -1036, -1370?\nAnswer: -1762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2096*i - 11*i**4 - 12*i**2 + 9*i**3 - 9*i**3 - 1744*i wrt i.\nAnswer: -132*i**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:39 AM and 1:43 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 83\/4 - (-1818)\/(-101). Find f, given that -b*f**4 + 7\/2*f**2 + 3\/4*f**5 - 5\/4*f - 3\/4 + 1\/2*f**3 = 0.\nAnswer: -1, -1\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 110*n + 27*n - 137*n - 16*n**2. Let m(s) = -59*s. What is m(w(j))?\nAnswer: 944*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*w**2 + 3*w**2 - 14*w**2.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 60\/25*(-15)\/(-6). Let g be -1 + 6 - (8 - u). Solve 5*x - 20 = 4*f, -x = -g*f + 4*f - 4 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2 + 4. Let v be (-39)\/9 - t\/(-6). Which is the third smallest value?  (a) 2\/9  (b) -2\/11  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(2\/5)*q)**(-1\/32)\/((q*((q**(-1\/4)\/q)\/q*q)\/q)\/(q*q\/q**5))*((q\/(((q**(1\/4)\/q)\/q)\/q))**(2\/135))**(-2\/41) assuming q is positive.\nAnswer: q**(-106063\/59040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + -4 + (7 - 12).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2232\/28 + -5 - (-4)\/14. Let v = m + -149\/2. Find a, given that v*a**4 - 1\/2*a**2 + 4*a - 2 - 5\/2*a**3 + 1\/2*a**5 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:49 PM and 7:00 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 1096, 1910, 2724, 3538?\n\"Answer: 814*y + 282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2 - s - 9 + 27*s**3 + s**5 - s + 8*s**3 wrt s?\nAnswer: 20*s**3 + 210*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - -1311.614872961.\nAnswer: 1312.614872961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = k**3 + 9*k**2 + 26*k + 73. What is o(-5)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hhccccccccchccc. What is prob of picking 2 h?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (8\/((-624)\/18))\/(35\/31). Let l = -4\/65 - m. Which is the fourth smallest value?  (a) -1\/3  (b) 5  (c) 13  (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by 50.\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*t = 7*t - 3. Let h(b) be the first derivative of -b**2\/2 + 2*b + 5. Let g(i) = 0*i - i + 6 - 3. Give t*g(r) - 5*h(r).\nAnswer: 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -22.09 - -19.8. Round q to 1 dp.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.9 - 1622.9?\nAnswer: -1622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (0 - 336\/35)\/(12\/320). What is the common denominator of 11616\/s*2\/90*-4 and 169\/60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 81 + -41. Suppose -z + y = z. Suppose 287 = g + z. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10222\/7 less than or equal to 540\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l + 2 = -3*r + l, r = 3*l - 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 30 = 2*o. Let b(z) = 15*z**2 - 12*z + 1. Let k(w) = -7*w**2 + 6*w - 1. Let d = -22 - -16. Let m(i) = d*b(i) - 13*k(i). Give m(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -74, -120, -158, -182, -186?\n\"Answer: g**3 - 2*g**2 - 47*g - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 670 minutes before 12:30 PM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 163073?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -16568 or -3\/5?\nAnswer: -16568","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2874 - 2872. Let t(z) = 2*z**2 - 7*z + 2. Calculate t(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -23*j**3 + 107*j**2 + 100*j - 6. Give i(6).\nAnswer: -522","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2446138 greater than or equal to 2446139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -172\/5 - -35. Is 2 greater than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/((o**(-2\/9)\/o)\/o)*o)**(12\/11) assuming o is positive.\nAnswer: o**(152\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000278297 to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 divided by 116.\nAnswer: -5\/116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -76279, -152801, -229337, -305893, -382475, -459089, -535741?\n\"Answer: -b**3 - b**2 - 76512*b + 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2550484 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 511394?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*g**4 + 39*g**3 + 145040*g**2 + 9703828*g wrt g.\nAnswer: -24*g**2 + 234*g + 290080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 71927075 and 385?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 10, w: 4, x: 2}. What is prob of picking 1 l and 3 w?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/(12\/(-480)*10))\/(-17).\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 3*t**3 - 27*t**2 - 3. Let x be y(9). Sort -0.2, x, -262 in descending order.\nAnswer: -0.2, x, -262","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -16266.0914 to 1 dp.\nAnswer: -16266.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -3\/17, 3, -0.3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 4686.3126 to the nearest integer.\nAnswer: 4686","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 5*y**3 - 2*y**2 - 2*y + 2. Let j be x(1). Differentiate 40 + 0*v**j + 19*v**3 - 6 wrt v.\nAnswer: 57*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 1 u when two letters picked without replacement from baaaebebueeee.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v\/(v**(-3\/4)\/v))\/v*v**4)\/(v**1\/v)**(1\/13))\/(v**(-4\/3)\/v**(-1\/2))**(-1\/61) assuming v is positive.\nAnswer: v**(4199\/732)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) be the second derivative of 1\/15*c**5 - 1\/2*c**2 + 0*c**3 + 0*c**4 - 1\/120*c**6 - c + 0. Let j(h) be the first derivative of l(h). Give j(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from oolom. What is prob of sequence omo?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = h**3 + 16*h**2 + 13*h - 16. Determine r(-15).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -3*c + 4*c. Let d(u) = u**3 + 17*u**2 - 19*u - 16. What is the least common multiple of c and d(-18)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (21\/7)\/((-3)\/(-36)). Let n = m + -39. Let l(v) = 91*v**2 - 4. Is l(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1.5 - 2.4. Let n = a - -1.3. What is the closest to 2 in 8, 2, n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -152*g - 2*g**3 + 152*g - 5*g**2 - 43.\nAnswer: -2*g**3 - 5*g**2 - 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -49869+0.5\nAnswer: -49868.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sc when two letters picked without replacement from nqcesqeqqocqqqq.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or -95?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2506 and 133840?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: What is 20 (base 13) in base 11?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -37.81 - -37. Let m = s + 0.03. What is m rounded to one decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -5 - 11031311?\nAnswer: -11031316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 5*2\/50*60\/36. What is the third biggest value in 3\/2, d, -4, 108, 0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 23*a**2*l**4 - 40*a**2*l**2 + a**2*l + 7*a*l**5 - 2*a*l**2 wrt l?\nAnswer: 552*a**2*l + 420*a*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 50 minutes before 8:19 AM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 + b**2)*(-10708 - 170*b + 10708 + b - 1 + 1 + (2 - 4 + 0)*(-4*b + 2*b + 4*b) - 2*b + 4*b + 0*b).\nAnswer: -171*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 105*u - 85 = 88*u. Which is the nearest to u?  (a) -1  (b) 1\/4  (c) 4  (d) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 9 + -17. Let o = r - -8.1. Let k = -0.3 - -0.4. Which is the closest to k?  (a) -4\/3  (b) 0.5  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2220323301 (base 4) in base 6?\nAnswer: 22455253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -102 (base 5) to base 6.\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 9737.705 years in decades?\nAnswer: 973.7705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 754 is divided by 181?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 20*r**3 + 5*r**2 + 17*r + 29. Let u(s) = -s**3 - s**2 + s + 2. Let p(o) = 2*u(o) - v(o). Is p(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6)\/18 + (-95)\/(-150)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -138?  (a) -1  (b) 1\/3  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + 13 = -7. Let j = -1 + s. Suppose 3*w + 2 = -c + j, -w - 2*c = 6. Is w a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -u + 1. Let l(v) = -2378*v - 1. What is -2*l(g) - 2*p(g)?\nAnswer: 4758*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1235888385?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 51 a factor of 146410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -342100 - 2412?\nAnswer: -344512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -0.1, 693, 0.05, -51, -4\/5, -2.1?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = b**3 - 5*b**2 + 2*b - 5. Let w be l(5). Suppose 0 = -z, w*g - z - 45 = 2*g. Suppose 0 = -5*c - 0 - g, 0 = -a - 3*c. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -2\/7  (b) -0.012  (c) -53  (d) 0.3  (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -j - 28. Let k be i(-29). Calculate the highest common factor of k and 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5040*w + 10*w**5 - 5040*w + w**4 + (2 + 2 - 3)*(2*w**5 + w**3 - w**3).\nAnswer: 12*w**5 + w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 62187 is divided by 876?\nAnswer: 867","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 4 - (-45 + (5 - -22))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -10*a + 23 + 7 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (2 + 8)*1\/2. Suppose -r + w - 3 = 0. Let l = -31\/21 - -15\/7. Does r = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4604347.\nAnswer: 11, 23, 18199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -1 + (4 + -9 - -7) + 2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2b (base 12) to base 10.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 78860 is divided by 408?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 672 minutes before 3:52 AM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 1 e when two letters picked without replacement from {n: 2, k: 3, e: 2, d: 2, b: 4, r: 1}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 13*w. Let u(f) = 3636986*f. Determine k(u(b)).\nAnswer: 47280818*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -322?  (a) -1\/4  (b) -2  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - 3*m = -30. Let s be 384\/m - (-8)\/(-20). Do s and -26 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is b5 + 1?\nAnswer: b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**9*n**(-9)\/n*n)**(-9\/14) assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 d and 1 g when three letters picked without replacement from dsigdfe?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 68115 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 20283 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2\/5 + 23\/5*v**2 - 5*v.\nAnswer: (v - 1)*(23*v - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i = -5*y + 1 + 11, 0 = 5*y - 20. Suppose i*n - x - 4399996 = 0, 3*x = x + 8. What is n rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u = 3*l + 73, -u - 64 = 5*l + 55. Is -19 at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 130216?\nAnswer: 2, 41, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -36043972, -36043973, -36043974, -36043975, -36043976?\nAnswer: -36043977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = r**3 + r**2 + 3*r + 2. Let j(m) = 22*m**3 + 2064*m**2 - 6*m - 4. Let h(l) = -2*j(l) - 4*z(l). What is the third derivative of h(g) wrt g?\nAnswer: -288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 59\/42 and -75\/17696?\nAnswer: 53088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1056 and 40326?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 225 a factor of 23902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -14*j**3 - 89*j**2 + 392*j - 355. Let r(n) = -10*n**3 - 90*n**2 + 392*n - 370. Let i(k) = -6*r(k) + 4*t(k). Suppose i(f) = 0. What is f?\nAnswer: -50, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 11 and 1969.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 3, s: 2, q: 10}. What is prob of sequence qqeq?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14078829.\nAnswer: 3, 19, 23, 10739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.02?  (a) -0.1  (b) 2\/15  (c) 1\/56  (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -57 = 4*x - 9. Let b(j) = j**2 - 7*j + 5. Let g be b(4). Let p = x - g. Let q(h) = -h**3 - 6*h**2 - 6*h - 7. Give q(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -29, -0.1, 1\/3, 2, 1, -5 in ascending order.\nAnswer: -29, -5, -0.1, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {l: 4, g: 16}.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -20*(1 - (-21)\/(-15)). Suppose g - v = -3*g. Find the second derivative of 0*p + p**2 + p + p**g wrt p.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4*0.033877\nAnswer: -0.135508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 755032, 755012, 754988, 754960, 754928?\n\"Answer: -2*u**2 - 14*u + 755048","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 11496961 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 48?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 14 + -12. Suppose 12 = 3*v - 3. Solve f*p + 3 = -v for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 11800 + -3719. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 19010 and 15490.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = 85*i + 1743. What is the units digit of b(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -65\/5328 and -113\/10656.\nAnswer: 10656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -9 + 6 + (-22)\/(-8). Let p = 0.131 + 2.869. Which is the biggest value?  (a) p  (b) 2  (c) 0.3  (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*-5*((sqrt(294) - sqrt(294)*2*3)\/(1*sqrt(6)\/(sqrt(2)*2)))**2.\nAnswer: -294000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*v**2 + 2*v**2 - 2*v**2 + (3 - 4 + 3)*(2*v**2 + 2*v**2 - 5*v**2) + 5*v**2 + 8*v**2 - 6*v**2.\nAnswer: 11*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4 - 1. What is the second derivative of 3 + 3*d**3 + 3*d - j + 0 wrt d?\nAnswer: 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13223 divided by -3.\nAnswer: -13223\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(704)*-4*-3*-5)**2.\nAnswer: 2534400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.01 - 0.41. Let h = 80\/7 - 11. Put h, i, -3 in increasing order.\nAnswer: -3, i, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (458\/(-1145))\/(-1 - (-18)\/20). Suppose 2*h - o*c - 1676 = -0*h, c = -2*h + 1696. What is the hundreds digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in 54, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d = -46 + 142. Let w = d + 28. Suppose -w*l + l = -186. What is the greatest common divisor of l and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 482 minutes before 2:20 PM?\nAnswer: 6:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is m in -2*m**2\/7 + 8452*m\/7 + 899232 = 0?\nAnswer: -646, 4872","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 39215 and 64139?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*w**4\/2 - 17895*w**3\/2 - 865593*w**2\/2 - 1677489*w\/2 - 414897 = 0.\nAnswer: -46, -1, 6013","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in nineteen tenths of a gram?\nAnswer: 1900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 63 a factor of 2835?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4500 + 4500 - 22*l**2 - 25*l**5 wrt l?\nAnswer: -1500*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000230876324 to seven decimal places.\nAnswer: 0.0002309","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - p - 5*v - 215 = 0, 4*p = -v - 475. Let m = 132 + p. Does 13 divide (-5 + 56\/m)*-174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -20.426 + 20.42610799. What is g rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 - -6 - (-32 - (-18 - -6)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((3534\/(-133))\/(-31))\/(33\/(-616)) - -8.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -7469 + 7868. What is the highest common factor of t and 1083?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) be the third derivative of -p**6\/120 - p**5\/4 + 23*p**4\/12 - 2*p**2 - 19*p. What is the second derivative of i(b) wrt b?\nAnswer: -6*b - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3330 (base 4) in base 11?\nAnswer: -20a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*z = 3986 - 17376. Let d = z - 225. Round d to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/4 in 0.3, 0.61, -12.9, -1\/10?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39*j + 36*j = -24. Calculate the least common multiple of 1026 and j.\nAnswer: 4104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 1, w: 1, q: 9, v: 7}. Give prob of sequence vvq.\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = q**2 + 5*q + 6. Let h be n(-5). Let l(v) = -2*v - 7. What is the remainder when (-106)\/(-10) + h\/(-10) is divided by l(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 323*y + 51682. What is d(-160)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-2\/109))**13 assuming t is positive.\nAnswer: t**(-26\/109)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -55, -78, -125, -202, -315, -470?\nAnswer: -673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 51\/5 of a litre in millilitres?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.1 + 0. Let l = -0.23206 - -12.23206. What is the nearest to n in -0.4, 0, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - (8 - 2)) + 0 + (1589 - 1583)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2477715 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 142 + -144.84. Let p = a + 3. Let b = p - 2.16. Sort -0.4, -0.2, b in descending order.\nAnswer: -0.2, -0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 60 + 56 = 133*t - 17. Which is the nearest to -1788?  (a) 5  (b) t  (c) -5  (d) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -3432 + 5?\nAnswer: -342b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -6*m + 125. Let j be y(20). Let s = -4 - -4. Let q be 1 + -4 + (s - -2). Sort j, -3, q in decreasing order.\nAnswer: j, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 25790314.\nAnswer: 2, 11, 23, 50969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = j**3 - 8*j**2 - 9*j + 10. Let r = 14 - 5. List the prime factors of f(r).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 623*j - 5648. What is the remainder when p(11) is divided by 396?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c = -3*c + 12. Let s(p) be the first derivative of 1\/4*p**4 + 0*p**c - 2 + 2*p + 0*p**2. Differentiate s(r) wrt r.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-4 + 29)\/5 - (-1386 + 0). Are v and 9 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 410316318 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 46 + -42. Solve -b = -3*b + x for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -118 divided by -57707\nAnswer: 118\/57707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 218095102 to the nearest integer?\nAnswer: 602","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - (-10 + (64 - 30)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 22 = 13. Let f = 112 + -77. Calculate the highest common factor of f and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 475 - 51. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101011101010111111 + -111?\nAnswer: -101011101011000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 294813469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 1, w: 1, d: 1, y: 1, g: 2, f: 2}. Give prob of sequence gw.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 3562 - 18\nAnswer: 3544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -k**2 - 4*k - 1. Let g be z(-2). What is the units digit of (0 + (g - -11))\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -101*i**2 + 2*i - 186.\nAnswer: -202*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1122 (base 3) to base 4.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1100 = 18*t + 2230. Let n = 187 + t. Solve n*y = -3*x + 7*x - 12, -5*x + 21 = -4*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - -1) + 0 + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 570 minutes before 4:04 AM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -3*y - 9. Let l be (-3)\/((-3)\/(-6) - y). Let t = 7 + l. What is the remainder when 62 is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -12*a + 8*a + c, -4*c = 0. Suppose -3*v = 4*p - 2*p - 10, -5*p - a*v = -14. Calculate the highest common factor of p and 74.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12 (base 3) to base 11\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -69 = -39*z - 264 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 1050*j + 80. Let q be s(12). What is q rounded to the nearest one hundred?\nAnswer: 12700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -219 + 452 - 233 - t**3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sum -3.4 and -155.\nAnswer: -158.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (-15 - -22) + 102\/(-15)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 8147259, 16294522, 24441785?\nAnswer: 32589048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3\/4, -5, 0.06, -2, -0.3, 2\/1987?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sum -1327984579470 and -5.\nAnswer: -1327984579475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1014 - -2185. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1993969453.\nAnswer: 7, 199, 1431421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2, -1, -4, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q = g - 15, 4 = q + g + 1. Let h be -1*(q - 4\/(-1)). Let v(t) = t**3 + 7*t**2 + 2*t + 8. Determine v(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2.817 - -0.183. Let y = -0.006 - 0.044. Which is the closest to y?  (a) -2  (b) -4  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (4\/4 + -1)*-1. Solve -5 = -2*f + v, 4*f - 7 = -v - m for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*t - 3 = 3*z, 2*z - 4*z - 2 = -5*t for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2927 is divided by (-3)\/(-15)*-10*(130\/(-4) + 2)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(-1*sqrt(153) + sqrt(153)) - sqrt(153))\/(sqrt(225) - (-1*sqrt(225) - sqrt(225))).\nAnswer: -sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -2\/17, 7, 5\/14, 0.5, -432, -3, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*i**5\/11 - 146*i**4\/11 + 1278*i**3\/11 - 1134*i**2\/11 = 0. What is i?\nAnswer: 0, 1, 9, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -7*b*s**3*z + 2*b*s**3 - 279873*b*s**2*z + b*z + 598*s**3*z - 2*s**3 wrt s?\nAnswer: -42*b*z + 12*b + 3588*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(-2\/33)*i)\/((i**(-18)\/i)\/i))\/(i*i\/((i\/i**(-5\/4))\/i)*i*i*i\/(i\/((i*i**19)\/i*i))) assuming i is positive.\nAnswer: i**(-239\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 643*p - 2. Let h(l) = 1221*l - 4. What is 7*c(i) - 4*h(i)?\nAnswer: -383*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 11 - 4. Let z = -3 + h. What is the least common multiple of z and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -59467*c**2 + 59411*c**2 + 0*c + 0*c.\nAnswer: -56*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -62*b + 3. Let n be s(-1). Suppose 10*f = 5*f + n. Differentiate -g**2 - 13*g + 9 + 2*g**2 + f*g with respect to g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1318 in -4, 1, -0.04, 206?\nAnswer: 206","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1482 and 1?\nAnswer: 1482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h**3\/5 + 73*h**2\/5 + 82*h + 536\/5 = 0. Calculate h.\nAnswer: -67, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -d**3 + 8*d**2 - 9*d - 14. Let f be q(6). Suppose 3*j - 90 = -2*r, -j + 7 = f*r - 13. Calculate the highest common divisor of 8 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 8197 and -3.4.\nAnswer: -27869.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*b = 3*s - 7, -b - 21*s + 16*s + 27 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 3391, 6779, 10167, 13555, 16943?\n\"Answer: 3388*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 14, 2.21, 3\/7, 0.9, -5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -18 + (15 - 14) - -16.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -19 + 17. Let q be 2\/12 + 33\/18. Let w(j) = -q + 3 + j + 2*j + 0*j. What is w(z)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -549 = 4*s + 4*m - 561, -4*s - 5*m + 17 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 3, p: 17}. What is prob of sequence pp?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 52264959?\nAnswer: 3, 523, 33311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3 + 8. Let g(s) = 7*s - 8. Let k(y) = 3*y - 4. Let a(o) = v*k(o) - 6*g(o). What is the derivative of a(x) wrt x?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1853 take away -139754?\nAnswer: 137901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5 + 16. Let r = 14 - t. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.0128 in -1\/2, -2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 325.766 + -307.25. Round t to one decimal place.\nAnswer: 18.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/(r\/(r\/(r\/(r*r*r**(-1\/3)*r))*r)*r))**(-1)\/((r**0\/r)\/r*r**(-5)))**(1\/8) assuming r is positive.\nAnswer: r**(13\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -s**2 + 8*s + 2. Let k be r(8). Suppose -18 = -k*g - 4*g. Solve 4*x - 11 = g*q, -5*q + 4*x = -x + 20 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*b - 15*b + 340. Suppose 19*k = b*k - 437. List the prime factors of k.\nAnswer: 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (33\/(-66))\/((-2)\/(-4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -5 - a2?\nAnswer: -a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.2 less than or equal to -4.1155?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u - 1 = -u. Let m be (u\/2)\/((-2)\/(-24)). What is the smallest common multiple of m + 1 + -1 - 0 and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.0521317633439 from -4.\nAnswer: -3.9478682366561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) be the first derivative of 0*k + 0*k**4 + 0*k**2 + 19\/5*k**5 + k**3 + 15. What is the third derivative of y(a) wrt a?\nAnswer: 456*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3 and 35285577.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*d**2\/4 + 50179*d + 4779 = 0. Calculate d.\nAnswer: -2\/21, 9558","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (23 - 7 + 1 - 1 + 0 + 0 - 1 - 1 + 4 - 4 - 1 + 4 + (-2 + 5 - 2)*(-1 - 3 + 2) - 6 - 1 - 5)*(2*w + 0 + 0) to the form l + s*w and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/11 in -1\/5, -1\/7, -3\/13, 9\/5, -8?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -22*c - 14. Let n(u) = -1. Let t(j) = 5*n(j) - y(j). Let z be t(2). Calculate the common denominator of 93\/28 and z*(-3)\/(-48) - 2*1.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Work out -3 * 20.36.\nAnswer: -61.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 198 is divided by 171.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -a - 9. List the prime factors of q(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*a**3 - 22*a**2 + 2*a + 22.\nAnswer: -2*(a - 1)*(a + 1)*(a + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -39 and 4.886?\nAnswer: -190.554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 5*v - 52. Let p be d(10). Calculate the least common multiple of p + -75*(-5)\/15 and 9.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 623316606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 140 - (53 + (70 - -23))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (94 - 5*k**3 - 97 + 3*k**3)*(-5 - 2*k + 5).\nAnswer: 4*k**4 + 6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 177932*n + 135 = 177941*n for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express 18 + 32 - 52 + 333*v + 0*v**2 - v**2 + 313*v as q*v**2 + s + x*v and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -d**3 + 27*d**2 - 52*d + 52. Let j be w(25). Let s = 35 + -20. Suppose -5*n + s = -20. Solve -3*v = -j - n for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 - (2 - 1) - (3 - 4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 9, m: 7, r: 2, n: 1}. What is prob of sequence zr?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 51045.0664 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + ((sqrt(30) + sqrt(30)*-1)*4)\/sqrt(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8*j + 6 + 0 - 5)*(-2 + 3*j + 2).\nAnswer: 24*j**2 + 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 51*n**3 + 0*n**2 + 4*n + 70*n**3 + 2*n**2 + 2*n**2 - 158*n**3. Let f(b) = -37*b**3 + 3*b**2 + 3*b. Calculate 4*f(p) - 3*s(p).\nAnswer: -37*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 25825*r**2 - 2*r**4 + 2 + 25826*r**2 - 51654*r**2 + 6*r**3 + 4*r to o*r + z*r**3 + j*r**4 + g + w*r**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1950287765 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -6 + 90*v + v**2 + v**2 - 94*v.\nAnswer: 2*(v - 3)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -44 - -41. What are the prime factors of (-438)\/(-4) - (18\/x)\/(-12)?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1512 divided by 6\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:59 AM and 6:22 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -665 + 665.1. What is the nearest to 0 in 1\/23, p, 4, 3?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 571 divide 2173832?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*v - 3 = 17 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2438*-5.\nAnswer: -12190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 8893, 35532, 79917, 142036, 221877, 319428?\nAnswer: 434677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*n = 8*n + 2*p - 2068, 2088 = 2*n - 3*p. Calculate the highest common factor of n and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -2*i**3 - 42*i**2 - 8*i - 44. Let s be q(-20). Let j be (3\/9)\/(20\/s). Which is smaller: -10 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -33400, -133572, -300516, -534226, -834696, -1201920?\n\"Answer: y**3 - 33392*y**2 - 3*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101 + 1011010?\nAnswer: 1010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -57837*w**3 - 583*w + 583*w - 121387*w**3.\nAnswer: -179224*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*t = -13*t + 20. Suppose 3*y + 295 = -t*a, -6*y - 235 = -4*y - 5*a. What is y rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4194 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -a**2 + 18*a - 74. Let n be h(10). Suppose 23 - 35 = -n*k. Let b(t) = -2*t**2 + 2*t + 1. Determine b(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 273108152?\nAnswer: 2, 53, 644123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 6.6 + -6. Let v = -0.3468 - -0.0468. Which is the closest to 0?  (a) v  (b) -2\/7  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 54347 = 150*f + 57347 for f.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -5*u**3*x + 2*u**3 + 1728460*u*x**4 + 288261*u - 22 wrt x.\nAnswer: -5*u**3 + 6913840*u*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 2 = -0*r. Sort -2, r, 3 in increasing order.\nAnswer: -2, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 1, k: 3, u: 9, o: 2, c: 3}. What is prob of picking 1 u and 1 y?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -31733 - -5?\nAnswer: -31726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1352 is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -x - 1. Let i(f) be the first derivative of -2*f**3\/3 - f**2 - 6*f + 34. Determine -i(s) + 4*n(s).\nAnswer: 2*s**2 - 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 49 a factor of 2303343?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find h such that -7*h**4\/6 - 106*h**3\/3 + 57*h**2\/2 + 250*h\/3 + 62\/3 = 0.\nAnswer: -31, -1, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 9795.291 years in months?\nAnswer: 117543.492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -2 + 5 - (0 - -4). Let f be 29 - 32 - 5*j. Solve p + f*p = 2*h - 12, -h = -2*p - 8 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 16*o + 5. Let u(b) = -17*b - 4. Determine 4*g(r) + 5*u(r).\nAnswer: -21*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -2*a**2 + 18675*a - 316895. What is f(17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at most as big as 30978?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 2*w**3 - 284*w**2 + 2155*w - 1277. Calculate z(134).\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*q + 1443 = 5*i + 1443, 0 = i + 5*q - 12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -18 + 13. Let n = 1.05 + -0.05. Sort -1\/3, i, n in decreasing order.\nAnswer: n, -1\/3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (sqrt(114) + sqrt(114)*2*-3 - (sqrt(114) - 4*sqrt(114)*1 - sqrt(114)))\/(sqrt(18)\/((sqrt(84)\/sqrt(4))\/sqrt(7)))*-3.\nAnswer: 4 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6737?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 768  (b) -1\/4  (c) -4  (d) 1\/5  (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 408729 to the power of 1\/2, to the nearest integer?\nAnswer: 639","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -323, -605, -887, -1169, -1451, -1733?\nAnswer: -2015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) be the second derivative of 25\/6*r**3 - 4 + 1\/12*r**4 - 3\/2*r**2 - 4*r + 31\/20*r**5. Find the second derivative of a(k) wrt k.\nAnswer: 186*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v + 0*h - 65 = -3*h, -5*v = 5*h - 160. Suppose 2*l - v = -z - 3*l, 0 = 2*l - 10. What is the remainder when 17 is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 234229 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let 180\/7*f**3 + 354\/7*f**2 + 2\/7*f**4 + 0 + 176\/7*f = 0. Calculate f.\nAnswer: -88, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -7*n**2 + 8*n - 16. Let m(t) = 57*t**2 - 66*t + 132. Let c(w) = -33*d(w) - 4*m(w). Let j(g) = -11*g**2 + 2. Calculate c(j(f)).\nAnswer: 363*f**4 - 132*f**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -18  (b) 0.5  (c) -3  (d) -0.15  (e) 4\/5  (f) 2\/31  (g) -8\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000046314067 to 7 dps.\nAnswer: 0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jo when two letters picked without replacement from onryjaroa?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2322032?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2105 is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 0 + 4)*(2 - 2 - j)*(j**3 + 2*j**3 - 2*j**3).\nAnswer: -3*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 129 - 1297\/10. Let l = u - 4\/5. Let x(w) = -w - 1. Let k be x(3). What is the second biggest value in k, 5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*m = 22*m + 4. Let i(t) = t**2 + t. Let x(h) = -14*h**2 - 12*h. What is m*x(u) - 12*i(u)?\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 1, u: 1, p: 4, s: 5, l: 1, a: 1}. Give prob of picking 1 u and 2 l.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (6 + 2 + 0)*28?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/10)\/(38\/(-76))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2\/6 + 8\/(-24). Suppose 2*f + 4 = -s, 3*f = 4*s - l + 16. What is the closest to f in 4\/7, -2\/9, -1\/4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 59*m - 58*m - 1. Let b be ((-3)\/m)\/((-18)\/384). Let d = -61 + b. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/5?  (a) -1  (b) -1\/7  (c) -0.3  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/(-63) + 128\/6*1\/(-28).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -184409, -368788, -553167, -737546, -921925, -1106304?\nAnswer: -1290683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 61 + -7. Let h = -57.91353739 + 3.91353812. Let x = f + h. Round x to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2948, -5859, -8770, -11681, -14592?\nAnswer: -17503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 175484496 a multiple of 1956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put together -3 and -30.42626.\nAnswer: -33.42626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -69116, -4, -1\/493, -1 in ascending order.\nAnswer: -69116, -4, -1, -1\/493, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve l**2\/2 + 4598*l - 2081157\/2 = 0 for l.\nAnswer: -9417, 221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -11, 4, -55 in increasing order.\nAnswer: -55, -11, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -3*f - 4. Let u be x(-3). Suppose q + 2*h - 3*h = 60, 0 = 5*h - u. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = -3*b + 5*v, 33 = 3*b - 32*v + 35*v. Suppose 4*q - 12 = b*r - 7*r, 5*q + 3*r = 22. Solve 4*p = -4*i + 4, 0 = 4*i + 3*p - 4 + q for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + 2 + 4 + -8.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*m**2 + 5 - 1 + 0 + 0 - 62*m**2 to the form i*m**2 + r*m + v and give i.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -8 + 8.1. Which is the closest to y?  (a) -8  (b) 0.2  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6173474?\nAnswer: 2, 3086737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 55886 - 39776. Suppose 0*u - 9*u = k. Let o = u - -39395\/22. Find the common denominator of 97\/8 and o.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 0.4, -0.06, 7.\nAnswer: -0.06, 0.4, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 6\/7 and -65\/40798.\nAnswer: 285586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 45 + -43. Solve -p - s = -2*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*z + 3*z - 11022 = -8*z. List the prime factors of z.\nAnswer: 2, 3, 11, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j + 2*d = -22, 8*j + 7119*d - 27 = 7114*d for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s\/s**(-2)*s)\/s*s\/((s**2\/s)\/s))**2\/(((s**6\/s*s)\/s*s**(-6))\/(s**(-5)\/((s**(4\/3)\/s)\/s))) assuming s is positive.\nAnswer: s**(20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 644 minutes after 8:13 AM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 79 + 87 = -5*r, -3*n + 4*r = -242. Let a = n + -22. Is a a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*t - 5*t + 1, -t = -o + 23. Suppose 6*g = 2*g - o. Let u(x) = -3*x**2 + 1. Let m(j) = -8*j**2 + 3. What is g*m(b) + 17*u(b)?\nAnswer: -3*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -5c8 (base 15) in base 14?\nAnswer: -69b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -h + h**4 + 2*h**2 + 1 - 3*h**2 - 4*h**2 as b*h**4 + j*h**2 + a + s*h + y*h**3 and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 4*n. Let f be y(1). Let p be f\/(-16) + (-5)\/(-4). Calculate the greatest common divisor of p and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -24 + 24.0000138. Round c to 6 dps.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -9*h**2 - 21*h - 61. Let g(w) = -8*w**2 - 14*w - 61. Give -3*g(u) + 2*v(u).\nAnswer: 6*u**2 + 61","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - 3 = 3. Let w be 64\/(-198) + l\/27. Suppose -k - 7*k = 8. Which is smaller: w or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 190*f**2 + 7*f - 76. Let x(v) = -6 - v**2 + 895*v + 6 - 896*v + 2*v**2. Let n(s) = -l(s) - 5*x(s). What is the second derivative of n(j) wrt j?\nAnswer: -390","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*d**3 + 0*d**3 + 4*d**3 + (-1 + 1 + 5)*(-4*d**2 + 4*d**2 - 2*d**3) to the form o*d**2 + c*d**3 + i + g*d and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 12574, 25146, 37722, 50302, 62886, 75474, 88066?\nAnswer: 100662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 57 - 229\/4. Let n = -6\/17 - -88\/153. What is the second smallest value in n, 3, s?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 747250472?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + -1*((sqrt(108) - (sqrt(108) - ((sqrt(108) - sqrt(108)*1*2) + sqrt(108))))\/((sqrt(36)\/sqrt(2))\/sqrt(2) - sqrt(9) - sqrt(9)) + 4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -323  (b) 93  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i - 46 = -4*i - f, 5*f = -5*i + 50. Suppose 0 = 3*m - 36 - i. Suppose 3*v - 47 - m = 0. What are the prime factors of v?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -1091*l + 101. Let o be q(12). Let v = -8220 - o. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (17*n + 31*n + 20*n)*(-2 - 3 - 2) to u*n + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 21 and 33.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 5403709 a multiple of 276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 320 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 339*f**3 + 2039 - 2040 - 632*f**3 - 5*f**2 - 817*f**3 + f**2 - f**2 - f**3 + (-2*f**3 + 2*f**3 + f**3)*(2 - 5 + 1) + 0*f**3 + f**3 + 0*f**3.\nAnswer: -1112*f**3 - 5*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1080 by -4.\nAnswer: -270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/2, -25, -1\/13, -141\/2 in increasing order.\nAnswer: -141\/2, -25, -1\/13, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) 8  (b) 0.1  (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 3, j: 2, x: 4}. What is prob of sequence jx?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 13*k**3 - 2*k**2 - 4*k + 4. Let n be y(2). Let f = -89 + n. What is the nearest to 2 in 0.019, f, -0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*b**3 - 1 + 2 - 5*b**3 + (3 - 3 - b**2)*(-b - 3*b + 2*b).\nAnswer: b**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 135798?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 50201 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 2, u: 1, b: 1, n: 1, w: 1, s: 1}. Give prob of sequence ub.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 80 and 14.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 27?  (a) 1\/4  (b) -11.3  (c) -2\/11  (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 7*q**2\/3 + 145*q\/3 - 14.\nAnswer: (q + 21)*(7*q - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:41 AM and 2:55 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from epeeeteetesppp. Give prob of sequence stt.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 98227372?\nAnswer: 2, 347, 70769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 64.356 + -63.956. Let c(n) = 7*n. Let d be c(1). What is the biggest value in d, v, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 8400 and 322800?\nAnswer: 2259600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n + 16 = -4*k + 3*n, -13 = -3*k - 4*n. Let v be k - (5 - (-2 + 5)). Which is the nearest to 8\/3?  (a) 1  (b) v  (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ajjeeuxs. Give prob of sequence xeu.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 2 a when three letters picked without replacement from {y: 4, a: 10, i: 2}?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 940543 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*h + 3*h - 4*h)*(0*h**3 - 48*h**3 + h**3) + 4 - 5*h**4 - 33*h**2 + 33*h**2 as p*h**4 + t*h + q + l*h**2 + n*h**3 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -570.7 + 571.24. What is the nearest to -1\/2 in -1\/4, h, 0?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -5193784, -5193779, -5193772, -5193763, -5193752, -5193739?\n\"Answer: v**2 + 2*v - 5193787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 9996\/10 + ((-85)\/(-25) - 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rx when two letters picked without replacement from doxorroydr?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + 11 + -17 + 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - 24 = -2*m, -2*m - 7*v + 34 = -3*v. Let d be (0\/2 + 0)\/1. Solve d = 5*z - 7 - m for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 2*x**2 - 3*x + 3. Let f be y(2). What is the third derivative of 3*j**2 - 22*j + 22*j - j**f wrt j?\nAnswer: -60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.46 * 3550.8.\nAnswer: -1633.368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -10668 divided by -1169\nAnswer: 1524\/167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 471 - 471 + 24*x + (4 - 5 - 1)*(-3*x - 3*x + 5*x) + (2 - 3 + 5)*(2*x - 3*x + 2*x) to the form s*x + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 32\/11*15873\/1443?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 593849 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 0.3*73\nAnswer: 21.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 240 a factor of 19259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -9*r**3 + 9488*r**2 - 2108*r.\nAnswer: -r*(r - 1054)*(9*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 888 - -328. What are the prime factors of y?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 416408 is divided by 215.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = r**2. Let y(z) = 2*z**2 + 16*z + 51. Let i(g) = -5*g**2 - 36*g - 103. Let p(m) = -4*i(m) - 9*y(m). What is b(p(c))?\nAnswer: 4*c**4 - 188*c**2 + 2209","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 18\/5 of a centimeter in millimeters?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -38*z**2 - 13*z - 3. Let a(j) = -63*j**2 - 27*j - 6. Let f(x) = -3*a(x) + 5*m(x). Calculate f(13).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -145351*x + 1 - 140629*x - 1 + 280094*x in the form j*x + f and give j.\nAnswer: -5886","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-five halves of a meter in centimeters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -3*n + 9. Let z(f) be the first derivative of f**3\/3 - 2*f**2 + 6*f - 85. Let r be z(3). Solve 4*a = -n*c - 3, -2*c + 7 = -a + r for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1.45 - -1.6. Let j = z + 23.85. Let p = j + -25. Which is the closest to -1?  (a) 4  (b) p  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*z**2 + 4*z**2 + 8*z**3)*(-41 + 183 + 50) - 2*z**2 + z**3 + 2*z**2 as i*z + w*z**3 + f*z**2 + x and give w.\nAnswer: 1537","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 61986853.\nAnswer: 61986853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -7 + 10. Let z be (2\/(-1)*-1)\/1. Let y(k) = -4*k + 3 - 4 + 0*k**2 - k**z + 2*k**2. Determine y(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10 - -110101001?\nAnswer: 110100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 14577, 14465, 14341, 14205, 14057?\nAnswer: 13897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 15*v - 4028 - 6127. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(270)\/sqrt(150) + -1)**2.\nAnswer: -6*sqrt(5)\/5 + 14\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 54925099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) be the third derivative of 169*i**8\/56 + 9*i**4\/8 + 11*i**3\/2 + 2684*i**2. Find the second derivative of z(d) wrt d.\nAnswer: 20280*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 3, w: 1}. Give prob of picking 2 p.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1244273 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i = -i + 30. Solve 5*k = -0*k + i for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in one quarter of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 28 - 39. Let f(w) = -w**2 - 12*w - 9. Let y be f(o). Let -3\/4*g + 0*g**y + 1\/4*g**3 - 1\/2 = 0. What is g?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 80 and 329600580?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of s**4 - 336*s**3 + 123*s**2 wrt s?\nAnswer: 24*s - 2016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -13*u**3 - 2*u**2 - 3*u - 17. Let c(s) = s**2 - 964*s**3 + 5 + 971*s**3 + 2*s + 4. Let k(v) = 11*c(v) + 6*w(v). Determine k(3).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 704 minutes before 9:56 PM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -x**3 - 19*x**2 - 41*x + 37. Let g be f(-17). What is the greatest common factor of 429 and g?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vskwzwps. Give prob of sequence zk.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 2454413 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000243629 rounded to six decimal places?\nAnswer: -0.000244","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 183232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 28*u + 56. Let p be a(-2). Solve p = -3*f + 15 - 6 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2369 (base 10) to base 2\nAnswer: 100101000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0.4*2.97528\nAnswer: 1.190112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 2 + 348\/(1 + 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + 2*f = 3*t + 10860, 2*f = 4*t + 14468. Let n = t - -1618. What is n rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18157 is divided by 193.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1  (b) -0.5  (c) -35\/2  (d) -1\/88  (e) -0.91\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express -150*n**2 + 2*n + 2210 - 2210 in the form o*n**2 + z*n + h and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (64 - (-2 - -63)) + 1 + (-28 - -2)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 50*t = -64*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -7 - -11. Suppose -3*p - 37 = m*b - 2*p, -2*b - 5*p = 41. Is (-6 + 3)\/(3\/b) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 30 + -30.5. Let i = 3.5 + u. Sort -0.4, i, -0.3 in descending order.\nAnswer: i, -0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = -5*v + 75. What is the smallest common multiple of 84 and v?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4 - 0. Suppose 0 = -3*x - 5*a + 9 + 12, 0 = -5*x - f*a + 22. Does 2 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = h**3 - 62*h**2 - 63*h + 161. Suppose 0 = 4*u - 9*u - 3*f + 36, u - 4*f - 21 = 0. Calculate the remainder when v(63) is divided by u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 7296 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.43 + 0.53. Sort -0.4, u, -6.\nAnswer: -6, -0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 7 - 4. Suppose y + y = 2. Let b = -4 - -1. Sort b, w, y.\nAnswer: b, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 5 - -34?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -80, -233, -482, -821, -1244?\n\"Answer: s**3 - 54*s**2 + 2*s - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**3\/(((h\/(((h*h\/(h*(h*h**5)\/h))\/h)\/h))\/h)\/h))**31 assuming h is positive.\nAnswer: h**(-62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -t**2 - 12*t + 12. Let s(d) = 2*d**2 + 25*d - 23. Let c(q) = -13*f(q) - 6*s(q). Let x be c(-8). Let m(l) = l**3 - l**2 + l + 2. Determine m(x).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 2*q**2 - 4*q. Let z(w) = -4*w**2 + 8*w + 1. Let y(n) = 7*l(n) + 3*z(n). What are the prime factors of y(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -416 + 416. Suppose 2*w + 6 = 2*i - 2*w, 3*w = x. Solve 0 = 4*d + 10 + 10, 0 = -i*p + 2*d - 2 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:22 AM and 9:09 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 2 - 3*v**2 - 15*v**2.\nAnswer: -18*v**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -14910067*p**5 - 2*p - 37741668?\nAnswer: -298201340*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1138 + 1131. Sort -5, s, 0.04, -0.5.\nAnswer: s, -5, -0.5, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2782521 and 36540?\nAnswer: 1827","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.2  (b) -260  (c) -14  (d) 3\/4  (e) 0.5  (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y**3\/9 - 78020*y**2\/9 - 2*y\/9 + 78020\/9 = 0.\nAnswer: -1, 1, 39010","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = j - 16. Suppose 2*b - j = 2. Let m(y) = -2*y**2 + b - 3*y + y - 22 - y**3. Calculate m(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 5*g = 0. Let t(b) = -2*b**3 - 4*b**2 - b + 2. Let c be t(-2). Suppose -c*v - v + 55 = g. Calculate the greatest common divisor of v and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1547 (base 14) to base 3\nAnswer: -12012021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 4\/8*(-8)\/(-6). What is the second smallest value in 0.2, g, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a millennium in years?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 38024 is divided by 40.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -3232005 - -44?\nAnswer: -3231521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2*q*t**2 + 5*q*t + 8458*q + 168278*t**4 - 80 wrt t?\nAnswer: -4*q*t + 5*q + 673112*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 677 minutes before 10:08 PM?\nAnswer: 10:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide 111816 by 6.\nAnswer: 18636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out -17764 * -1.9.\nAnswer: 33751.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 375300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 68034 and 17986.\nAnswer: 782","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y = 367 - 359. Let f be (y*3\/(-6) + 5)\/3. Which is greater: -2\/47 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 5 + -6. Let z(y) = -y**2 + 12*y - 14. Let g be z(11). Put g, u, -5 in descending order.\nAnswer: u, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (6 - -3) + -1 + 3. Suppose -3*o + c = -4. Calculate the greatest common factor of 25 and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 2*b**3 + 5*b**2 - 5*b + 5. Let l be (-17)\/(-4) - 2\/8. List the prime factors of j(l).\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = t**3 - 45*t**2 - 142*t - 93. Determine p(48).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 294, 2251, 7570, 17931, 35014, 60499, 96066?\nAnswer: 143395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 15706632.44 minus 0.06343?\nAnswer: 15706632.37657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -40?  (a) 20  (b) 1  (c) 2\/17  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 29871689 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 362 - -1?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 109895219 or 109895220?\nAnswer: 109895219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 214 - 212. Solve 2*w - 8 = -5*v - 3, -i*v - 5*w = 19 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8 = -7*v + 11*v, 2*j - 4*v + 8 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h = 3*z - 10, 6*z - z = 5*h + 75. Solve -6 = 3*u - 3*p, 3*p - 2 = 5*u + z for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 32 + -20. Let u = 12 - c. Suppose 3*x + 15 = -u*x. Let v(t) = 3*t**2 - 2*t. Let z(l) = 7*l**2 - 5*l. Determine x*v(q) + 2*z(q).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -13*q**5 + 2*q**2 + 12*q**2 - 12 + 13 + 2*q**6 wrt q?\nAnswer: 240*q**3 - 780*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -45\/264471328 and 47\/3784.\nAnswer: 264471328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1148032?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -0.165 times 6920\nAnswer: -1141.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 101*d - 17780. Calculate h(176).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2457, -4918, -7377, -9834, -12289?\nAnswer: -14742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*2*((sqrt(272) - (sqrt(272) - ((sqrt(272)*3)**2 + -4))) + (sqrt(272) - (-1 + sqrt(272) + (3 + sqrt(272) - sqrt(272))**2 + sqrt(272)))).\nAnswer: -48*sqrt(17) + 29232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 652 minutes before 11:38 PM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (112\/(-12))\/7*30\/(-80)*5.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -3*y + 95. Let l(j) = 40*j**2. What is c(l(g))?\nAnswer: -120*g**2 + 95","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -99428, -99431, -99436, -99443?\nAnswer: -99452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 39, -1\/5, -827\/13?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(-12\/11)\/y**(-3\/4) assuming y is positive.\nAnswer: y**(-15\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 24 - 16. Let f be (-6)\/j*(-16)\/90. Which is smaller: f or 0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-38)\/2 + (20 - 17). Let z be 72 - (3 - (-4)\/(-4)). Suppose -5*n = i - 8, -2*n = -3*i - z + 9. Which is greater: i or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*q = k - 16*q + 5, -2*q = -8. Solve 2*m + 4 = r, -k*m = 4*r + 2*m - 16 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*x - 6*i = -17*i + 8*i + 5, 21*i - 71*i = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: -22 times 8.802\nAnswer: -193.644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.318103g in micrograms?\nAnswer: 4318103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find w, given that 3*w**2\/5 - 1578*w\/5 + 3144\/5 = 0.\nAnswer: 2, 524","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 189667 is divided by 94721?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 458 minutes before 3:07 PM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from isksaioaaskkiaadk. What is prob of sequence idk?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -497766 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 15\/10*(-12)\/(-63)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -66 - -67. Let w(a) = 3*a + 1. Let c be w(-1). Which is smaller: j or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:21 PM and 11:53 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t\/(((t*((t*(t\/t**(-2\/13)*t)\/t)\/t)\/t)\/t)\/t))\/(t*t**(-2\/25)))\/(t**(2\/21)\/t**(-4\/3)) assuming t is positive.\nAnswer: t**(1132\/2275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express 623616 - 623616 - 2539*p as u*p + c and give u.\nAnswer: -2539","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 15 take away 1.0010174242529?\nAnswer: 13.9989825757471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 22.881003 seconds?\nAnswer: 0.38135005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2466203 and 469?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in sixteen sevenths of a week?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**8\/((l\/(l*l*l\/(l\/l**(-8))))\/l))\/(l**6\/(l**(-6)*l*l*l))*(l\/l**(1\/2)*l*l\/(l*l\/(l**(-1\/5)\/l)))**(-1\/41) assuming l is positive.\nAnswer: l**(-2863\/410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.581*-1.\nAnswer: 0.581","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -2, 1\/5, 6\/2933, 1\/19 in descending order.\nAnswer: 1\/5, 1\/19, 6\/2933, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-3320)\/(-32) - -6)\/(1\/4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 130*y + 120 = 115*y for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-5)\/(-60)*4*0)\/(-2). Factor 25\/2*m**2 + 5\/2*m + k.\nAnswer: 5*m*(5*m + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -173*8\/(-12)*(-3)\/(-2). Let g = c + -173. Suppose 2*x - 21 = -4*y - 1, y - 5*x + 17 = 0. Solve g = r + y + 1 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1057?\nAnswer: 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 10 + -65. Let f = 78 + w. Is 14 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -43712046*m + 20619923.\nAnswer: -43712046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 33, -5, -10, -1605 in increasing order.\nAnswer: -1605, -10, -5, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 131735396 and 104?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -12 - 221211120202?\nAnswer: -221211120221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -41*p*u**3 + 16*p*u**2 + 5011*p*u + 2*p + 16475*u**3 + 2*u - 2 wrt u?\nAnswer: -246*p + 98850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 37*k - 29*k - 29*k + 43*k - 25*k.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 3, n: 1, l: 2, k: 1}. What is prob of sequence tk?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s + s - 12 = -4*d, -2*d + 6 = s. Let p = d + -1. Factor 0*v**2 + 2 + v - 4*v + v**p.\nAnswer: (v - 2)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 477922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4245688792?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4 + 9. Let m = -14 + 19. Suppose -m*t + 35 = -3*p, -y*t = -4*t - 5*p - 7. What is the remainder when t is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -66.7544614 to three decimal places.\nAnswer: -66.754","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*z + 10*z = 5*i - 23, -2*z = -4*i + 16 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*((sqrt(363) + -1 + 3)**2 + 4 + 4)*5.\nAnswer: 880*sqrt(3) + 7500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.5 + 4.5. Which is the nearest to 5?  (a) -1  (b) i  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 2, -7, -26, 1123, -5 in increasing order.\nAnswer: -26, -7, -5, -1, 2, 1123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 12*99\nAnswer: 1188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 20 and 29736?\nAnswer: 148680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -113025 divided by 137?\nAnswer: -825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 35561 - 35281. Calculate the remainder when y is divided by 58.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 50 divide 550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 443 minutes after 8:30 PM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1722, 1976, 2650, 3948, 6074?\nAnswer: 9232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1073 a factor of 4779910268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1001001111110110 (base 2) in base 3?\nAnswer: 1220221220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -91 + 93. Suppose 210 = 8*s + x*s. Find the first derivative of 524*l**2 - l + l - 547*l**2 + s wrt l.\nAnswer: -46*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.48 and 4.9.\nAnswer: -2.352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -100, -112, -112, -94, -52, 20?\n\"Answer: b**3 - 19*b - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 584253 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: Let t(v) = -3*v**2 - 4*v + 1. Let w be t(-2). Is 11 a factor of w\/(-15) + (-436)\/(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.06 and 0.3.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -19*d**2 + 29*d**2 + 45*d**2 as y + x*d**2 + j*d and give x.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 6 = -2. Let p = -109 + 104. Sort 5, p, m in decreasing order.\nAnswer: 5, m, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/(d*d**(-3)))\/(d\/(d\/d**(-4\/7))*d)*(d\/(d*d**(1\/7)\/d))\/d**(-1\/5) assuming d is positive.\nAnswer: d**(127\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4133, -5508, -7799, -11006?\nAnswer: -15129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -735 divided by -35.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2687*f - 34133 = 63285 + 33854 + 391 for f.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 839582664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 870.\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1.8 in 2\/5, 2\/23, -2, 0, 11\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 17*-143\nAnswer: -2431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen eighths of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:09 PM and 4:51 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 248300*b**2 - b**3 + 2*b**3 - 248304*b**2. Let k(m) = m**2 - 2 + 2. Let j be 5\/(-7) - (-2)\/(-7). Calculate j*n(l) - 5*k(l).\nAnswer: -l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/30?  (a) 4\/7  (b) -1\/29  (c) -1\/8  (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-832)\/(-10) + (-3)\/15 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 5 - 4 - 2. Let p(l) = 6. Let z(f) = 5*i(f) + p(f). Let t(x) = -x + 6. Let m(d) = t(d) - 4*z(d). Determine m(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1144120 - 824841 = -309*z + 273761. Calculate the remainder when z is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -963, 4.\nAnswer: -963, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -o**3 + 2 - 3*o**3 - 3*o + 0. Let d = 6 + -3. Let u(p) = -7*p**3 - 5*p + 3. Calculate d*u(f) - 5*y(f).\nAnswer: -f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-8)\/28 + (-2 - 1140\/28). Let y = -38 - a. Suppose -y = -3*c + 268. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 22 and 144?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-9)\/(u*u**28*u))\/(u**(11\/2)\/(u*u*u*u**6)) assuming u is positive.\nAnswer: u**(-71\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.443 - 0.073. Let z = l + -0.47. Suppose 4*n - 9 = -5*d + 2*n, 5*d = n + 3. What is the closest to d in 1, z, -5\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.02?  (a) -10\/231  (b) -0.2  (c) -44  (d) 2  (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) be the first derivative of d**7\/280 - d**4\/6 - d**3\/3 + 4. Let n(v) be the third derivative of i(v). Differentiate n(g) wrt g.\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*k**5 + 16*k**4 + 144*k**3 + 320*k**2 + 224*k.\nAnswer: -2*k*(k - 14)*(k + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 325582694, 325582691, 325582678, 325582649, 325582598?\n\"Answer: -m**3 + m**2 + m + 325582693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 406 + -413 + (3 - 4) + 80.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 7*o + 2. Let h(v) be the third derivative of -v**4\/3 - v**3\/2 - 10*v**2. Let i(p) = -3*h(p) - 4*r(p). Determine i(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8*t**2 - 20*t**2 - 2 + 10*t - 57*t + 6*t**3 + 52*t to o*t + z*t**2 + m*t**3 + n and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 200451257 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/5 bigger than -0.103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7 - 14*v - 7)*(-6 + 1 + 4)*(5 + v + 43 - 3).\nAnswer: 14*v**2 + 630*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - -15) + (2 - -4) + -13.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1\/((-2)\/4 + 1). Suppose q*d = 10 - 6. Factor -1\/4*h**3 - 1\/4*h**d + 0 + 1\/2*h.\nAnswer: -h*(h - 1)*(h + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (40\/14)\/(24\/924). Let c = -284 - -490. Let v = c - b. Calculate the remainder when v is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3.16 * -0.3.\nAnswer: 0.948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = r**2 - 7*r + 1. Let m = -13 - -22. Let u be k(m). Find the common denominator of 8\/(-12) + u\/(-48) and 17\/14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = m - 4, m + 1336 = 2*a + 1334 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -2439 (base 14) to base 3\nAnswer: -22200012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -55046 rounded to the nearest 100?\nAnswer: -55000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 96331172 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-10)\/(-15)*3\/2. Let g be u + (387\/(-228) - -1). Let x = -1\/19 + g. Is x less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -5376, -5359, -5316, -5235, -5104, -4911, -4644?\n\"Answer: 2*x**3 + x**2 - 5379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -2*k**2 - 17*k - 24. What is l(-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 30 and 210.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 3*v = -5*q - 213, -q + 3*v - 46 = 0. Let z = 64 + q. What is the remainder when 41 is divided by z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-30)\/(-15))\/((1\/(-1))\/(-2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 238*g*r**2 - 23*g*r + 2*g - 85*r**2 + 340*r wrt r.\nAnswer: 476*g - 170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -39*v + 60*v + 63 = 0, -53 = l - 7*v + 3*v for l.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1\/((-4)\/(-12)) + -12. Let r = -4 - g. Put 0, r, 4 in decreasing order.\nAnswer: r, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/7?  (a) 2\/7  (b) -5\/11  (c) 3  (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 6*62\/12 - (-128)\/(-8)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 55863 and 1764857?\nAnswer: 2069","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 83, 1, 1226, 226 in ascending order.\nAnswer: 1, 4, 83, 226, 1226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(-1 + sqrt(17) + 4 + 1*sqrt(833)).\nAnswer: 18 + 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1 - -2. Let v be (1\/(-3) - (-7)\/21) + -6. Sort v, -2, k in descending order.\nAnswer: k, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (sqrt(306)\/sqrt(2) - sqrt(17) - (sqrt(425) + (sqrt(425)*1 - sqrt(425)) - sqrt(425))**2) + (sqrt(68)*1 - (sqrt(153) - sqrt(153)*-5)).\nAnswer: -14*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -2*l - 3. Let w(n) = n**3 - 15*n**2 - 17*n + 18. Let x be w(16). Let z(i) = -i - 2. Calculate x*d(r) - 3*z(r).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**(4\/3)\/(p\/(p*(p\/(p\/p**3)*p*p)\/p*p))*(p**(-3)\/p)\/p**(-3\/2) assuming p is positive.\nAnswer: p**(23\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 297*i + 5508. Let f be y(-19). Is f < -115?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 141307\/48 + -11773\/4. Calculate the common denominator of -2\/5 and r.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 0 - 0 - 3 - 2. Suppose -6*i + 43 = 19. Sort i, 12, s.\nAnswer: s, i, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 96 + -1 + -11 + ((39 - 37) + 35 - 32)?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2677 - -16001\/6. Let h(w) = w**2 + 9*w - 3. Let k be h(-9). What is the common denominator of j and (21\/(-6) - k)\/(3\/134)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find u, given that -34*u**5 + 1218*u**4 - 8200*u**3 + 21960*u**2 - 25696*u + 10752 = 0.\nAnswer: 1, 2, 48\/17, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1*-1 - (-82)\/2. Let u be (-8)\/(-10)*(3 + 22). Suppose -3 = -2*o - 5*w + 7, -4*w + u = 4*o. What is the highest common divisor of o and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -cb1e (base 16) to base 15\nAnswer: -10618","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 391 is divided by 47.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -58*h**2 - 56*h**2 + 106*h**2 - 20 + 21*h + 17 + 12 to a + j*h**2 + c*h and give a.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = 2*j**2 - 67*j + 313. Determine h(28).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 10*1 + (-121 - -117) + 9970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21163.52cm in meters?\nAnswer: 211.6352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*p + p - 3*p + (2 - 2 + 3)*(p - 5*p - p) + p + p + 0*p + (3 - 4 + 2)*(0*p + 3*p - 2*p) + (-3 + p + 3)*(0 - 3 + 4) - 1 + 0 + 19*p - 103*p.\nAnswer: -94*p - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-20)\/(-50))\/((-8)\/8)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -8*d**2*h**2*o**3 - 2*d**2*h**2*o + 3*d**2*h*o**3 - 2*d**2*h - d**2*o**3 - 6*o**2 wrt h?\nAnswer: -16*d**2*o**3 - 4*d**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (15\/2)\/((-1608)\/(-4288)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 2*p. Let f(g) = 1319*g**2. Determine f(s(h)).\nAnswer: 5276*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*a + 83*a = -100 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*v + 2*v + 2*v)*(44*v + 35*v + 64*v).\nAnswer: -429*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3.4 - 3.5. Which is the second biggest value?  (a) i  (b) 0  (c) -5  (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23600209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -107 - (69 - (-63 + 180))?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -28*((-14 - -1) + (-35343)\/(-3332)).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 16 - 12. Sort 1, 3, -1, o.\nAnswer: -1, 1, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 89577 and -0.03549.\nAnswer: 89576.96451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o = 17 - 5. Let r be (o\/10)\/(5\/1). Which is smaller: r or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + -1*sqrt(11))*-5 - (1 + sqrt(396) + 5)**2.\nAnswer: -422 - 67*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in twenty-one quarters of a kilogram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 294 - 156 - 138 + 2562*a - 2562*a - a**3 + 0*a**3.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 73.52567 days?\nAnswer: 1764.61608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25 = -0*p + 5*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 2 - 2728416?\nAnswer: -2728414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -4, 3, -16, 28, 13, 20 in ascending order.\nAnswer: -16, -4, 1, 3, 13, 20, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -a, -1 = -2*m + 5*m + 4*a. Suppose -4*b = -4*n - 16, -n = m*b - 4*n - 22. Suppose -18 = 4*i - b*i. What is the smallest common multiple of 20 and i?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 2*h = -6 - 0, 3*h - 31 = -i. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -g**3 + g - 1. Let t(o) = 39*o + 2 + 45*o - 163*o + 39*o + 42*o. Calculate t(s) + 2*u(s).\nAnswer: -2*s**3 + 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(1\/5))**(-17) assuming w is positive.\nAnswer: w**(-17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -18.7325524 rounded to the nearest integer?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 87\/15 + (-2)\/(-10). Let r = -4 + w. Let u be 2\/r - 30\/27. Is -1 greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 30470 - 30452. Solve -66*z + 63*z = -4*x + q, 0 = -3*z + 5*x - 21 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**1)**(-27)\/(o*o**1*o*o**(-5)) assuming o is positive.\nAnswer: o**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out 12.07 + -0.397.\nAnswer: 11.673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 1 - 124*q + 122*q - 10*q**2 + 0.\nAnswer: -10*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 24  (b) -4  (c) 2  (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pplo when four letters picked without replacement from {o: 3, p: 3, l: 5}?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - ((-243 - -246) + -2 + -1 - 52)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - (3 - (1 + (1 - 2)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 divided by -10987.\nAnswer: 4\/10987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -2*c**3 - 10*c**2 - 3*c + 1. Let k(m) = m**3 + m**2 + m - 1. Suppose 2*s = y, -39*y + 43*y + 4 = 4*s. Determine s*k(b) - p(b).\nAnswer: b**3 + 9*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 37 - 29. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g - 10839 = u, 0*u = -g - 2*u - 2708. What is g rounded to the nearest one hundred?\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 25*s**2. Let m(t) be the first derivative of 2*t**3 + 483. Give y(m(k)).\nAnswer: 900*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2888?  (a) 2  (b) 3\/8  (c) -1\/4  (d) -11\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -25*b + 10. Let f(w) = -12*w + 5. Determine 7*f(l) - 3*v(l).\nAnswer: -9*l + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 504 minutes before 9:19 AM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) be the third derivative of i**5\/30 - 7*i**4\/24 - i**3\/6 - i**2. Let l be o(6). Let d = l - 1. Calculate the remainder when d is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 368556.2 rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4 - 12. Let f be (176\/(-2))\/(n + 7). Calculate the highest common divisor of 11 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 25250993 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -3c + 39043?\nAnswer: 39005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3001\/188 + -57\/47. What is the common denominator of 91\/16 and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 3 - 1 - 9 + 4*k. Suppose 2112*n = 2007*n + 315. Calculate a(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*f = 5*f - 160. Let v(x) = -100*x**3 + 1. Let s be v(-1). Let w = f + s. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -145 - -151. Let p be (g*9)\/(28\/14). Let f(r) = -r**3 + 4*r - 3. Let s(i) = -6*i**3 + 27*i - 21. Calculate p*f(q) - 4*s(q).\nAnswer: -3*q**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2304\/(-84) + 8\/(-14). Which is greater: -27 or k?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -59991, -119982, -179973, -239964, -299955, -359946?\n\"Answer: -59991*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = y**3 - 5*y**2 + 2*y + 4. Determine d(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8246*m**2 - 16 + 39 - 23.\nAnswer: 8246*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 2*b**2 + 10*b - 1. Let p be s(-6). Let i = p + -9. Solve i*m - 4*m - 10 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 35091067 to the power of 1\/2, to the nearest integer?\nAnswer: 5924","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 16*a + 3 + 24*a - 4*a**4 + 2*a**2 - 41*a + 2*a**3 to the form o*a**3 + q*a**2 + w + r*a**4 + y*a and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 612 + -553. What is the remainder when r is divided by (-8)\/2*(-10)\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -45, 656, 2013, 4026?\n\"Answer: 328*s**2 - 283*s - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*g**3 - 86*g**2*m**2 + 3*m**2 + 25 wrt g?\nAnswer: 6*g**2 - 172*g*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) be the second derivative of m**3\/3 - 3*m**2 - m. Let r be g(4). Suppose -2*l - 5*t - 9 = 2*l, -2*l - 2*t - r = 0. Is l a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*y + 3*h - 941 = h - 1013, 9*h = -8*y - 181 for y.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 128 + -119. Let o = 9 + r. What is the lowest common multiple of o and 30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 812?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4222*v**3 - 8165*v**3 + 3939*v**3.\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s = 5*k + 50, 4*s = -k - 0*s - 22. Let v = 9 - k. Solve 4 = 5*u + 5*d - 1, 5*d + v = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 20.2691 to two decimal places.\nAnswer: 20.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sum 62 and 134.\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -71, -118, -165?\nAnswer: -212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 195 a factor of 26612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 694 - 718. Which is bigger: o or -27?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3 + d**2 - 4 - d**4 + 1 + 2*d**3 in the form h*d + g + a*d**3 + r*d**4 + u*d**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -97653780 divided by 2325090?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:10 AM and 10:35 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -6.75 + 420.75. Let j = d + -414.4. What is the third biggest value in -0.1, j, 3\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -10*u**3 + 157*u**2 - 589*u - 8. What is r(8)?\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -63 - -62.7. Which is the closest to -1?  (a) q  (b) -0.1  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-4)\/(-10) - 13\/(-5). Let u be (-74)\/(-14) - 10\/35. Suppose d = v*l + 10, 0*d - u*d = -l - 120. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8270218?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -5*v - 64. Let b be x(-24). Suppose 3*u - 5*u - 140 = 0. Let k = b - u. What is the lowest common multiple of k and 18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -4, 12485, 3\/10, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = l**3 - 3*l**2 + 3*l - 16. Let t be s(4). What is the first derivative of 25*y - t*y + 18*y**2 - 11*y - 52 wrt y?\nAnswer: 36*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -35 take away -22.8?\nAnswer: -12.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 898 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) 0.517  (b) -1240  (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 g and 1 e when four letters picked without replacement from {b: 1, x: 1, t: 3, e: 1, g: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*c + 12*c - 6*c + 16609 - 15575.\nAnswer: 13*c + 1034","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -148*a**3 - a**2 + a + 1. Suppose 5*m + g - 182 = 0, 283*g = 287*g + 12. Calculate the remainder when i(-1) is divided by m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 757100 and 14740?\nAnswer: 8328100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 576296 + 0.4\nAnswer: 576296.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -8*k + 4. Let d = 10 + -17. Let g be w(d). Suppose 0*h = 3*h - g. Is 8 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1.352 - -545.352. Let g = a - 544.000000687. Round g to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 63750912?\nAnswer: 2, 3, 83009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 143 divided by 6.\nAnswer: 143\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 2, o: 4, r: 1, v: 3, c: 2, a: 6}. What is prob of picking 1 m and 1 o?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 546 minutes after 9:29 PM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = b**3 - 3*b**2 - 9*b + 9. Let v be x(5). Suppose -27 - 57 = -v*f. Let g = 7 + -2. Solve -4*h - 4*c = -28, g*h - 2*c - 1 - f = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 6269 - 24?\nAnswer: 6245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 23*p - 40. Let h(v) = 11*v - 19. Calculate -4*c(k) + 9*h(k).\nAnswer: 7*k - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -72 + 56 = -4*f. Solve 5*p + 14 = -f*b - 1, 4*p + 3*b = -11 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*v**4 + 8*v**4 - 4*v**4 - 49*v - 11*v**2 + 48*v + 14*v**4 - 5 in the form s*v**3 + g*v**2 + x*v + c*v**4 + y and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 5*v**2 + 3*v - 3. Let n(x) = -4*x**2 - 2*x + 2. Let f(o) = -4*g(o) - 6*n(o). Let l(s) be the second derivative of -19*s**4\/6 - 82*s. Give l(f(y)).\nAnswer: -608*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1190*h = -1206*h - 1520. Which is the biggest value?  (a) h  (b) -1\/8  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from apuzq. Give prob of picking 1 q and 1 p.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 151\/468 and -95\/1716?\nAnswer: 5148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1015)\/(-630))\/29*6\/8?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -26.8 + 27.3. Which is the second biggest value?  (a) -3  (b) 2.7  (c) 2\/5  (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 93 = -21. Let q(b) = 21 - h - 6*b + 3*b. Calculate q(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 356 is divided by 51.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-529)\/8993 - ((-3)\/51*341 + 0). Solve -270 = f*w + 70*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 3353 - -4?\nAnswer: 3357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 1018, 2050, 3104, 4192, 5326, 6518, 7780, 9124?\n\"Answer: 2*n**3 - n**2 + 1021*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -1\/940?\nAnswer: -1\/940","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 1227426, 2454852, 3682278, 4909704, 6137130?\n\"Answer: 1227426*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -100, -1\/2, -5, -4\/409?\nAnswer: -100","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 17972827 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 10002320 (base 4) to base 11\nAnswer: 114a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*((sqrt(45) + 0 + (sqrt(640) - sqrt(40))\/sqrt(8) - (4 + sqrt(180)*-1 - sqrt(180))*-1)**2*4 + -4).\nAnswer: -2340 + 576*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-7)\/l**47*l**(5\/6)\/(l*l*l\/(l\/l**(2\/15))))**(5\/12) assuming l is positive.\nAnswer: l**(-553\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1010100 (base 3) to base 2.\nAnswer: 1100110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 56 = -3*z. Let i(f) = -z - 18 + 29. Let h(n) = -n**2 + 8. Determine 3*h(r) + 8*i(r).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*g + 2*g - 52 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1018498?\nAnswer: 2, 13, 43, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 21906270 divided by -1?\nAnswer: -21906270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 699 minutes before 6:49 PM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + ((sqrt(11)*-1)**2 + 5)*6.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -1. Suppose 7*b = 4*b + 3. Let j(s) = -s. Let u(v) = 7*v + 1. Let t(q) = 5*j(q) + u(q). Calculate b*a(o) + t(o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -ee + -1bc?\nAnswer: -2aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (1 - 2) + (-9)\/(-7). Let a = 0.46 - 4.46. Let f = a + 3.9. What is the nearest to f in -1, g, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.4, 0.13, -2\/3, 0 in increasing order.\nAnswer: -2\/3, 0, 0.13, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 9?  (a) 0.3  (b) 2\/11  (c) -2  (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 518393101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -37\/22890000 and -37\/24500.\nAnswer: 160230000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 462\/(-70)*70\/21\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3717606.\nAnswer: 2, 3, 47, 13183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 10643465 divided by -6?\nAnswer: -10643465\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) be the third derivative of 0*w**4 - 1\/30*w**5 + 0 + 0*w**3 - 14*w**2 + 0*w. Let v(g) = -23*g. Calculate v(n(d)).\nAnswer: 46*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a second in milliseconds?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 71 and 1704.\nAnswer: 1704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -s**2 + 8*s + 4. Let g be q(7). Suppose -3*c + k = -149, -4*k + 56 = c - g. Suppose 3 - c = -4*n. What is the greatest common divisor of 3 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 888 = -391*c + 6362 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve f = -c - 3, 0 = 1606*c - 1605*c + 5*f + 19 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -9, -2 in descending order.\nAnswer: -1, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 469 + 3?\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 42 + 4?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 199*g - 194*g - 25. Find the third derivative of -3*x**2 + 83*x**g - 2*x**2 - 68*x**5 wrt x.\nAnswer: 900*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 6353897 or 6353899?\nAnswer: 6353897","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-36)\/24 - -5)*-2 - 5?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1\/484, -12, -432, 0.4, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 5\/6 of a millennium?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -82 - -23?\nAnswer: -5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -67 + 100. What are the prime factors of i?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9 + 1159*b - 9 - 2324*b + 1142*b.\nAnswer: -23*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8)\/(-7)*(-2646)\/3780?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 13*q**2 - 11*q + 11. Suppose -24 = 21*o - 25*o. Let y(t) = 7*t**2 - 6*t + 6. Determine o*g(l) - 11*y(l).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*r**2 + 4*r**2 - r**2)*(-3*r - 3 + 3)*(6 + 19 - 6).\nAnswer: -57*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) be the first derivative of -x**2\/2 + 2*x - 1. Let r be k(-2). Suppose -332 + 59 = -r*y + f, 4*f + 87 = y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 392?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 22328771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*-2*(-6*((sqrt(704) - 2*sqrt(704)) + -5))**2.\nAnswer: -209952 - 23040*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -0.06, 1.4 in ascending order.\nAnswer: -0.06, 1.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -672 at least -668?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -26*p - 26. Suppose -4*z + 6*c - 2*c - 20 = 0, -5*c - 5 = z. What is the units digit of l(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -69339, -69423, -69563, -69759?\nAnswer: -70011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*y + 24 = 5*j - 24*y, j + 3*y = -18 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-11)*v**(-19)*v)**(-19\/3) assuming v is positive.\nAnswer: v**(551\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:27 PM and 12:32 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*1*sqrt(272) - sqrt(272)) + (1 + sqrt(272))*5 + sqrt(272))**2 + ((5 + sqrt(272)*-2)*3)**2.\nAnswer: -600*sqrt(17) + 12490","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r*r**(2\/3)*r*r)\/(r*r**(1\/4)\/r*r))**(17\/4))**(23\/2) assuming r is positive.\nAnswer: r**(11339\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 954323.6ng?\nAnswer: 954.3236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -9721 - -1049969\/108. Let h = u - 5\/27. Which is greater: 0 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*r**2 - r**2 + 2*r**2)*(31 - 88 - 22)*(-r**2 + 4*r**2 - 2*r**2).\nAnswer: 158*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 10\/4 - -5*3\/(-10). Let j(z) = -28*z - 1. What is j(c)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 21*q + 550. What is h(-14)?\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 69\/236495 and -11\/221125.\nAnswer: 360654875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -484846 - -182?\nAnswer: -484674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5398 is divided by 1918.\nAnswer: 1562","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -78361 divided by -119?\nAnswer: 78361\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -31, -118, -259, -454, -703, -1006?\n\"Answer: -27*t**2 - 6*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -619*l - 6522 = -33139 for l.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 64*p = 27*p - 884*p - 629*p - 63550 for p.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-3)\/((0 + 1)\/(-1)). Let z be 1 + (0 - 2) - -3. What is the third derivative of z*o**x + 4*o**2 - 4*o**3 - 3*o**3 wrt o?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 78 + 36 = -19*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-12\/7)\/y**(-19))\/(y**(2\/55)\/(y\/(y*y*y**(-18)*y*y*y*y)*y*y*y)) assuming y is positive.\nAnswer: y**(12801\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*2*sqrt(1920))\/(sqrt(726)*2 + sqrt(6)*2*3).\nAnswer: -4*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.1132 * -0.6.\nAnswer: 0.06792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i + 83 = l, 3*l + 99 = -2*i + 297. Let y(n) = -n**2 + 3*n. Let q be y(6). Find the common denominator of -3\/4 and (-4 - l\/q) + 1.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -r**3 + 125*r**2 - 340*r - 3191. Give c(122).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 3\/4, 3, -1567\/3, 0.08, -5?\nAnswer: -1567\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = 4*f - 15. Let z(q) = q**3 + 18*q**2 + 18*q + 22. Let b be z(-17). Let d be o(b). Suppose -3*m = 3*x + x - 34, m = d*x - 52. Is x a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (1 - 0)*(-4 - -5). Let b(o) = -7 - 7 + 6*o + 11*o - o**2. Let r be b(16). Solve -3*f = c + 13, 7 - x = -2*f + r*c for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -3  (b) -4  (c) 166  (d) -3\/5  (e) 1  (f) -2\/11  (g) -3\/649\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -58  (b) -3  (c) 446  (d) -5  (e) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -t**2 - 52*t + 1003. Let u be v(-67). Which is the closest to u?  (a) 4  (b) 0.2  (c) -3  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (114\/(-12))\/(-19)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 19237 + 180763 = 0. Suppose -4*i - i - b = 0. What is i rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) be the first derivative of -j**5\/60 - j**4\/24 + j**3\/6 - 10*j**2 + 8. Let d(m) be the second derivative of v(m). Give d(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -3*g**2. Let w(f) = -10*f**2 + 7*f**2 + 4*f**2 + f**2. Calculate y(w(i)).\nAnswer: -12*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 72991 and 296623.\nAnswer: 1553","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 50 minutes before 3:24 PM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 47 - 63. Let m(g) = -g**3 - 17*g**2 - 17*g - 14. Let d be m(b). Calculate the remainder when 20 is divided by -2*6*(-3 + d).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8*n + 5*n + 2 + 0*n + n + 14*n**2 - 3 to the form k*n + s + f*n**2 and give f.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 696\/18*(5 + (-14)\/4) and 638?\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of i**4 - 51167*i**3 - 5072*i**2 - i - 1 wrt i.\nAnswer: 24*i - 307002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.1 times 0.03?\nAnswer: 0.033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1248?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 41013 to the power of 1\/2, to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 0, -13, -7\/2, -2 in decreasing order.\nAnswer: 0, -2, -7\/2, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 3\/4, 0.04, 2\/11, 9?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 9*w**2 - 179*w - 1852. What is j(-9)?\nAnswer: 488","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 44279129 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -8?  (a) 11  (b) -0.2  (c) -4  (d) -0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.47 times -6.4?\nAnswer: 9.408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 854\/51 - 500\/17. What is the common denominator of r and (-1 - (-35)\/34)*(-146)\/3?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -14 + 24. Let x = -22 + d. Let w = x + 13. What is the biggest value in 2\/7, 2, w?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-30)\/135 - 137\/(-9) - (-27 - -54)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -1, -42, -117, -232, -393, -606, -877?\n\"Answer: -r**3 - 11*r**2 - r + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -h**3 + 7*h**2 + 9*h - 10. Let g be t(8). Let z be g + ((-2)\/(-1) - 0). Let f be 1 + (-3)\/((-3)\/2). Sort -4, f, z in increasing order.\nAnswer: -4, z, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) be the first derivative of v**3\/3 - 2. Let u(q) be the second derivative of 2*q**3\/3 - 13*q. Give u(m(f)).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 17 + -4 - (10 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 11, -9.\nAnswer: -9, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 10217.5 + -10217. Let d = -4.135 + 0.035. What is the second smallest value in -0.2, n, d?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 57365652?\nAnswer: 2, 3, 4780471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 125*u**2 + 13511*u + u**4 - 13512*u - 2 + 5 - 14*u**3 + 16*u**3 to the form g*u**3 + f*u**4 + t + a*u + v*u**2 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 1021627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 9721*l**5 - 2*l**3 + l**2 - l - 508?\nAnswer: 583260*l**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 373745642 to the nearest integer?\nAnswer: 19333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve s + s**2 + 5*s + s**2 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in one fifth of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3682 + 3674 + 18*l**2 - 7357 - 9*l - 7*l + 16*l.\nAnswer: 18*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 51 - -4?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w = 7*w. Is (160 + 3)\/(1 + w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -108e + -92?\nAnswer: -1120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 167*y - 82. Determine o(-1).\nAnswer: -249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 63 + -44. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 16159990 and 2308570?\nAnswer: 16159990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -177*u - 536. Calculate o(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 16 + -18. Let d = l - -12. What is the remainder when 23 is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1650.518 millennia in years?\nAnswer: 1650518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1573)*3 + sqrt(1573))*-4 - (sqrt(1573) + 0 + sqrt(1573) + 2 + sqrt(1573)))**2.\nAnswer: 836*sqrt(13) + 567857","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = 5*j - 14, -11 = -5*w + j + 111. Let a be (-3)\/4 + 114\/w. Solve i + a = 2*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 467 minutes after 12:06 AM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 52 minutes after 9:28 PM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2624946.89999988 + -2624947. Let r = -1.7 + 1.6. Let m = f - r. What is m rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -3*p - 2. Suppose p = s - 3. Solve -s*w - y = -20, -42 = -5*w - 3*y - 10 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1961?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out 22.417 + -0.4.\nAnswer: 22.017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/(x*x**(-2\/5)))**(1\/9)\/(x**(-2\/5))**(9\/8) assuming x is positive.\nAnswer: x**(89\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1000 and 168.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -45*z**3 - 47*z**3 + 5*z**3 + (2 - 2 + z)*(-4*z**2 + 3*z**2 - 3*z**2) to the form s*z**3 + g + n*z + i*z**2 and give s.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (2\/(-6))\/(-4 - (-118)\/30). Let q = 5 - j. Suppose 0*g - 2*g + 4*p + 66 = q, 4*p + 93 = 3*g. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = i**2 + 19*i - 2. Let a be r(-19). Let f be 155 - (a - 6\/(-6)). What is the greatest common divisor of 12 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) be the second derivative of -a**4\/6 + a**3\/3 - a**2\/2 - 3*a + 262. Let u = 13 - 25. Let h = u - -14. Determine n(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/9?  (a) 1\/5  (b) 37  (c) 0.3  (d) 1.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 867615 is divided by 148?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 1620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 575 - 574.9436. Let o = 0.9436 + t. Let g = -41\/60 + 1\/12. Which is the second biggest value?  (a) o  (b) g  (c) 27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/((19\/(-95))\/(4\/15)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = k**3 + 11*k**2 + 6*k - 10. What is the tens digit of s(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -50 = -206.261?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 19*u**2 - 482*u + 372. Give n(21).\nAnswer: -1371","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - v - 6 = 6, -5*v = 4*h - 38. Suppose h*g - 24 = g. Solve 3*j = 3*d - 24, 0 = 4*j + g*d - 3 - 5 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5 - -1) + -4 + 6 + 3 + -11.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 * -239131\nAnswer: -47826.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4 + 4)\/(-1) + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 25 = -4*w. Suppose -2*f - 3*l = -0*f + 18, -5*f + 5*l + w = 0. Let x be 1\/f*(-6)\/9. What is the smallest value in x, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14968344421 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -t**2 - 5*t - 1. Let l be 6\/9*3*-2. Let g be z(l). Factor 18*q**2 - 2*q + 24 - 13*q - 11*q - 10*q - 3*q**g.\nAnswer: -3*(q - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3.921 + -4.021. What is the closest to u in 2\/13, 125, -0.5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 32853779.\nAnswer: 7, 449, 10453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -152 + 1414*b**3 + 79 + 73.\nAnswer: 1414*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 9*p**3 - 24*p**2 + 36*p - 50. Is l(9) a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4255 and 1461685.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1014238 + 1014247. Let b(f) = 4*f + 1. Let q be b(-1). What is the smallest common multiple of (-79)\/q + (-2)\/(-3) and d?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*t - 1002 + 947 = 0. What is the third smallest value in -368, t, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -78\/17 smaller than 48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 72 and 16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 5*r**2 + 20*r - 12. Let d(j) = 6*j**2 + 20*j - 11. Let z(v) = -6*d(v) + 7*n(v). What is the units digit of z(15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 452131 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find c, given that -60*c**5 + 10265*c**4 + 1680215*c**3\/2 + 28735785*c**2\/2 - 1238240*c - 601600 = 0.\nAnswer: -32, -1\/6, 1\/4, 235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor n**4\/3 - 7*n**3 + 20*n**2\/3.\nAnswer: n**2*(n - 20)*(n - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -877548*p*t**6 - 3*p*t**4 + 259*p*t**2 - 1389*t**2 - 9 wrt t.\nAnswer: -105305760*p*t**3 - 72*p*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/171, 16.0858, -2 in decreasing order.\nAnswer: 16.0858, -2\/171, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 11446 - 11451. Let g = 12 - 6. Let z = -2 + g. Sort 6, k, z.\nAnswer: k, z, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (5\/(-8))\/((-1699)\/(-3398))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 7023.304 nanograms in grams?\nAnswer: 0.000007023304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 9 - 6. Solve a - 6 = -p*h - 2*a, -a = -5 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve j + 15 + 0 = 4*y, 4*j = 2*y - 18 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 59\/9 and ((-9)\/(-6))\/(2 - 327\/231)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = -5*m - 2. Let y(v) = -17*v - 35. Let d be y(-2). Let r be (m + 4)*(-2 - d). Which is greater: r or -7\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = 13668269*z. Let t(k) = 12*k. Calculate t(n(j)).\nAnswer: 164019228*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45 = 7*h + 2*h. Solve -2*l + 2*v - 4*v = 14, -5*l = -h*v - 15 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 37\/57 + 1\/57. Let m(b) be the third derivative of 0*b + b**2 + 0 + o*b**3 + 1\/24*b**4 + 1\/120*b**6 - 1\/15*b**5. Give m(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = g + 5. Let t be k(-5). Solve 2*n + 2*n - 8 = t for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 4 = -z + 10, 5*z + 14 = i. Let r be -3*(i + -1 + -2). Which is greater: -4 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -96586, -96589, -96596, -96607, -96622?\n\"Answer: -2*b**2 + 3*b - 96587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 65 + 2?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 3 - 33100?\nAnswer: -33042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1257 and 26627450?\nAnswer: 79882350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 16, g: 2}. What is prob of sequence mmm?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 4 and 460.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 294*k = 112*k - 182 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 86455?\nAnswer: 5, 17291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*m**4 - 30*m**3 - 48*m**2 + 270*m + 675.\nAnswer: -3*(m - 3)*(m + 3)*(m + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -1321377.3*2\nAnswer: -2642754.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand -p - 4 + 4 + (-4*p + 0*p + 0*p)*(-3 + 0 + 2) + 0*p + p + 3*p - 4*p + 3*p + 0*p + 3*p - 5*p + 5*p + (-1 - 4 + 3)*(4 - 4 + 2*p).\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -54*h = -224 - 100. Let n(q) = -5*q**2 + 3*q - 18*q + 6 + h*q + 3*q. Let j(y) = y**2 + y - 1. Calculate -30*j(s) - 5*n(s).\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + -1 + -1 + (-4 - (-7 - 14)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -20*y**2. Let d be 2 - 0\/(-3 + 0). Let w(i) = 0*i + 0*i - 139*i**2 + 141*i**d. Determine o(w(t)).\nAnswer: -80*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/(-3*(-2)\/(-12)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -4 times -5208\nAnswer: 20832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:42 AM and 7:46 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*w - 3*d - 8 = 0, 2*w - 4755*d + 4753*d = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 = -4*k, -8911*a - 4*k + 6 = -8913*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -163*h + 15001 = 3591. What is the remainder when (-1232)\/(-6) - (-4)\/6 is divided by h?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pappqppppaqpppappaqp. Give prob of sequence ppa.\nAnswer: 26\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 29349087 to the power of 1\/3, to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 3885.66ml?\nAnswer: 3.88566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 654 and 2093018?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 36 and 68?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = d**2 + 6*d + 2. Let h be a(-9). Let t = h - 24. Factor -t*j + 4*j**3 - 3*j + 4*j - 4*j + 4*j**2.\nAnswer: 4*j*(j - 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -u**3 + 630*u**2 - 630*u**2.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -60748 = -13*c + 184419. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -6 + 6. Suppose 97*j - 116 + 656 = -11*j. What is the closest to -0.1 in j, -30, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1074338?\nAnswer: 2, 537169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7386*p - 14508*p + 7106*p.\nAnswer: -16*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 40 + (-9975)\/250 - (51\/10 + 0)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -n**3\/2 + 243*n**2\/2 - 1165*n.\nAnswer: -n*(n - 233)*(n - 10)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (0 + -1449)*((-21070)\/(-21) - -1). Let h = t - -645279. Round h to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7 - u - 69 - 29 - 21 - 47.\nAnswer: -u - 173","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 4 - 1)*(27440 + 24*r**2 - 80*r**2 - 27443)*(-5*r**3 + 0*r**3 + r**3).\nAnswer: -224*r**5 - 12*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = x**2 + x. Let z(p) = -24*p**2 + 3*p + 2. Let w(m) = -2*j(m) - z(m). Is w(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 3 - 2 + 5 - 1 - 3 + 0 + 3 - 4 + (3 - 3 + 2)*(4 - 5 + 2) + 2 - 2 + 1 - 2 + 5 + 2)*(3 - 5 + 3)*(-2 + 2 + 4)*(-40 + 40 - 11*i**2).\nAnswer: -220*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*w = 3*f - 60, -2*f + 295 = -5967*w + 6020*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = q**2 + 10*q - 16. Suppose -23 - 44 = 5*w + 4*u, -3*w = -4*u + 21. Let c be b(w). Sort -3, 10, c, 2 in descending order.\nAnswer: 10, 2, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 147 - 99. Suppose f*g - 8 = 40*g. Solve 4*i - g = 5*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -513*l**3*v**3 + 40*l**3 + 3*l*v**3 - 5*l - 36 wrt v?\nAnswer: -1539*l**3*v**2 + 9*l*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-34)\/204 - ((-339)\/144 + 2).\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 2*o + 0*o = 14, 0 = -g + 4*o + 24. Suppose -g*c = c. Let v be -5 + 6 + (0 - 3) - -6. What is the closest to c in -2\/9, v, 1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -13*x**4 + 67*x**3 + 399*x**2 + 421*x - 5. Let k(v) = -7*v**4 + 33*v**3 + 201*v**2 + 211*v - 3. Let h(m) = -5*k(m) + 3*u(m). Factor h(t).\nAnswer: -4*t*(t - 13)*(t + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3453 - 4079 - 528 = -10*x. Does 211 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 10) in base 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2130 + -210022011?\nAnswer: -210030201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 431 is divided by 390.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 30*r**3 - 12*r**2. Let j(h) = -20*h**3 + 8*h**2. Let v be 0 - 6\/(-3) - 2. Suppose 5 = -b - v*b. Let q(l) = b*w(l) - 8*j(l). Let q(c) = 0. What is c?\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(4)\/sqrt(2) + 2)*-3 + -5)*-5)**2 + 0.\nAnswer: 1650*sqrt(2) + 3475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -664245309 plus -8?\nAnswer: -664245317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -58\/11*p + 2\/11*p**2 - 60\/11.\nAnswer: 2*(p - 30)*(p + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 6*n - 10. Let w be m(7). Suppose 2*a = 4*u + 956, 4*a + 4*u + 367 = 2255. Suppose 154 - a = -4*s. Calculate the highest common divisor of s and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) be the third derivative of -7*x**4\/24 - 5*x**2 - 4. Let r(h) = -20*h. Let v be (325\/(-195))\/(0 - 10\/36). What is v*r(j) - 17*d(j)?\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2296 and 984.\nAnswer: 6888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*r - 5*r + 6*r**2)*(r**2 - 7*r + 9*r - 9*r).\nAnswer: 6*r**4 - 42*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 4, j: 2, e: 2}. Give prob of picking 1 j and 1 e.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 82\/5 - 487\/30. Factor -1\/6*m**2 + 0*m + 0 + 0*m**3 + t*m**4.\nAnswer: m**2*(m - 1)*(m + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-20 + (2 - 2))\/(-1 - -3) - (-299)\/(-26)\nAnswer: -43\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 199.3?  (a) -2  (b) 0.17  (c) -1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 200?  (a) -0.1  (b) 0  (c) 1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -143\/612 and -37\/162.\nAnswer: 5508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -12370267, -12370268, -12370269, -12370270, -12370271, -12370272?\nAnswer: -12370273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 5*o**2. Let k(p) = p**2. Suppose h + 4*s + 18 = 0, 0 = -h + 33*s - 38*s - 22. Give h*z(v) + 9*k(v).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*s**2 + 5*s**2 + 12*s**2 - 75*s**2 + 45*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*w + 3*w**2 + 13*w - 4*w - 10*w as x + g*w**2 + s*w and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express 16*q**4 + 103*q**3 + 2 + 9*q**4 + 1475*q - 26*q**4 + 3*q**4 - 105*q**3 in the form a*q**4 + g*q + r + j*q**2 + p*q**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**(-11)\/(p*p**(7\/4)) assuming p is positive.\nAnswer: p**(-55\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 26\/16 + 7 + 159\/(-24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*d + m + 35, 5*d - 125 = -0*d - 5*m. What is the smallest common multiple of d and 14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6756311 rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -114.5 + 115.94. Which is the closest to k?  (a) 1\/5  (b) -4  (c) 4\/7  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 9 - 8. Suppose -4*u + 5 = -4*t + m, -5*t = -5. Let j be 12*(2 - 1)\/u. Solve 4*s = s + j for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 29 + 0 + -2 + 0. Suppose -2*o - y = -5*p, p + 4*o = 2*p - 9. Solve 3*u + p = 4*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -v + 13. Let i be r(9). Suppose d = i*d - 27. What are the prime factors of 178\/2 + (d - 13)?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 588 and 104034?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -6.3793206 less than 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in thirty-seven halves of a millisecond?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 222637\/21 or 10603?\nAnswer: 222637\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that 35*a**4 - 130*a**3 + 100*a**2 + 40*a = 0.\nAnswer: -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-12*b**2 - 19*b**2 + 73*b + 33*b**2)*(-2 + 4 + 0 + (-3 + 3 - 2)*(0 - 1 - 1)).\nAnswer: 12*b**2 + 438*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -156*l - 794*l = 648*l + 73508 for l.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 132 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -623 + 99827?\nAnswer: 99204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 279 = 13*n - 12*n. What is the highest common divisor of 31 and n?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 5*u = 19, q - 4*u + 2*u + 7 = 0. Solve q + 1 = -4*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 44*-1*(2\/20)\/((-30)\/(-75)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -1217*1\nAnswer: -1217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) be the first derivative of u**6\/27 - 2*u**5\/15 + u**4\/9 + 4*u**3\/27 - u**2\/3 + 2*u\/9 - 18. Determine w so that k(w) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3112445 (base 7) to base 11.\nAnswer: -235325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1)\/(-4) + 15\/4. Suppose -10 = -q*y - y. Solve 3*w = n - 2 + 18, -5*w + 27 = -y*n for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 4, u: 1, b: 1, e: 4, d: 1}. What is prob of picking 1 e and 1 k?\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 17 - 15. Which is bigger: 5\/4 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-30)\/(-4))\/((-16)\/96). Let i = -26 - d. Calculate the greatest common divisor of i and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7409417?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 1\/3, 41, -3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) be the first derivative of -w**7\/840 - w**6\/90 - w**5\/24 - w**4\/12 + 5*w**3\/3 - 16. Let x(p) be the third derivative of c(p). Factor x(i).\nAnswer: -(i + 1)**2*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 330, 482, 634?\nAnswer: 786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 62216684, 124433366, 186650048, 248866730?\n\"Answer: 62216682*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5203*s - 5202*s = 131. Let n(c) = -c + 2. Let i be n(0). Suppose -i*b + 168 = 3*d, -s = d - 3*d + 5*b. What is the smallest common multiple of d and 10?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 50 = 3*m - 5*f - 11, 16 = 3*m + 4*f. Suppose 12*c - m = 8*c. What is the highest common divisor of c and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1608 + 269 = 153*l + 1415 for l.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 6*j**4 - 16*j**3 - 2*j**2 - 4*j. Let p(q) = q**4 - q**3 + q**2. Suppose g + 3*r = -2*r + 23, 2 = g - 2*r. Let h(n) = g*p(n) - y(n). Factor h(v).\nAnswer: 2*v*(v + 1)**2*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 2*w, 11 = 3*u - 4*u + 3*w. Let i(z) = z + 11. Let p be i(u). Solve -6 = -3*r + p for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jqej when four letters picked without replacement from fvfqfvjqmvqjmvvvfe?\nAnswer: 1\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = 5*n**3 - 3*n**2 - 5*n - 7. Give o(-3).\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 96855 is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 67164853.\nAnswer: 7, 23, 417173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -45, -93, -155, -237, -345?\nAnswer: -485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -r + 10. Let h be g(8). Let u be ((3 - h)*2)\/(-5). Which is the closest to -0.1?  (a) 1  (b) u  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1767106 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 8 = -w - p, w + 4 = 3*p. What is the nearest to 2\/7 in -4, w, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 27.01879 + -0.01879. What is the fourth smallest value in 4, 5, -0.06, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 + -17 - (-4 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 258 and 31914.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-580)\/275)\/((-28)\/(-8)). Let n = 6\/11 + l. Suppose 5*g - 16*g = 11. Which is smaller: g or n?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.05957 + 0.058631?\nAnswer: 0.118201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 2*i**2 + 173*i - 2595. Find the common denominator of 4\/18 - 1497\/54 and s(13).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 71*x + 1. Let i be b(-2). Suppose -4*v - 310 - 498 = 0. Let g = i - v. 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 tenth root of 3681 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.1, -464, 2\/47?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 75 + -76. Are n and -31 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -6*k + 224. Let y be f(37). Solve 0 = 2*p + 2*d + 8, -7 = y*p + 2*d + d for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2173\/7 - -311. Let t(c) = -18*c**3 + 5*c**2 - 8*c + 10. Let w be t(-8). Let q = 96209\/10 - w. What is the common denominator of j and q?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 13, y: 1, d: 5, l: 1}. Give prob of sequence dy.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*y - y + 102*y**2 - 42*y**2 - 41*y**2 - 43*y**2 in the form h*y**2 + p + i*y and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (279\/(-12))\/(22\/(-4) + 7)*-2. Solve -83*k = -197 + y for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 65481.29 rounded to the nearest 10?\nAnswer: 65480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -141*l**3 - 21*l**2 + 21. Let f(a) = 109*a**2 - 111*a**2 + 0 - 14*a**3 + 2. What is -21*f(x) + 2*i(x)?\nAnswer: 12*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*j + 1 = -4*w - 15, -5*j = 4*w + 40 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1307606 and 5307342?\nAnswer: 90224814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00001790496395 rounded to six decimal places?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 23*o - 19*o - 3 + 3. Let f(w) = 3*w**2. Determine a(f(h)).\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 141521 + 149153 + 121010 = -5278*t for t.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 11096780437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -6875*w. Let g(h) = h**2. Determine g(x(v)).\nAnswer: 47265625*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -6*d**2 + 0*d**2 + d**2 + 5*d**2 + 4*d**2. Let v(t) = -11*t - 208 + 414 - 206. What is v(r(b))?\nAnswer: -44*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -840*j**3 + 3*j**2 + 44*j + 76. Is 40 a factor of h(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + -1 + 5 + 2 + -9 + 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:59 PM and 2:23 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00446 to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 11 - (-3 - (-3 + (14 - 14 - 5))) - 50?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = p**3 - 3*p**2 + 2*p - 2. Let b be d(3). Suppose -21 = -2*c + 7. Let t be b\/c + 14\/(-49). Sort 3, t, 1 in descending order.\nAnswer: 3, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from aamlmmaamlalm. What is prob of sequence laml?\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = q**2 + q + 9. Let m be h(-6). Let y = m - 44. What is the units digit of (129*1)\/3 - (y + 6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -94625632 divided by -2957051?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 62062420 and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = x**2 - 4*x + 3. Let w be j(4). Let m be (-1)\/3 + 1\/w. Solve 0 = -g - t + 5, -g + 4*t - 11 + 1 = m for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) be the third derivative of -v**4\/24 - v**3 - 425*v**2. Let n = -16 + 8. Let w be y(n). Let o(c) = -c**2 + 4*c - 1. Give o(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 192496 or 192522?\nAnswer: 192496","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -53376, -53370, -53378, -53406, -53460, -53546, -53670?\nAnswer: -53838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: What is 2374361 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Product of 303.78 and 0.089.\nAnswer: 27.03642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -3078*q - 3460. Let u(p) = 3060*p + 3459. Let k(b) = 5*r(b) + 6*u(b). What is the derivative of k(z) wrt z?\nAnswer: 2970","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 97, 217, 341, 475, 625?\n\"Answer: k**3 - 4*k**2 + 125*k - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -52 + 106. Let g be ((-9)\/v)\/((-1)\/(-11329)). Let p = 1882 + g. What is the common denominator of p and 51\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 35657982?\nAnswer: 2, 3, 103, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*u**3 - 204*u**2 - 4368*u - 28224.\nAnswer: -3*(u + 12)*(u + 28)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -59*k**2 + 97*k**2 - 16*k**2. Let a(r) = 30*r**2. Give a(i(v)).\nAnswer: 14520*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -1567, -2636, -3705, -4774, -5843?\n\"Answer: -1069*w - 498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 4\/(-8)*1178\/4. Let n = 1595\/12 + z. Calculate the common denominator of 49\/3 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4 - 2. Let z(q) = -3*q**3 + 3*q + 1. Let x be z(-2). Let v(n) = -n + 13. Let r be v(x). Which is the second biggest value?  (a) r  (b) -0.5  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -392 + 391.9811. What is k rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 95.9271 seconds to milliseconds.\nAnswer: 95927.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2217*a + 4915089\/2 + 1\/2*a**2.\nAnswer: (a + 2217)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -94*o**3 + 33*o**3 + 30*o**3 + 30*o**3.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3634)\/1)\/23*(-88)\/176.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 99893 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -2*m + 28. Let i be a(12). Suppose -3*h + 3 = p, -i*h + 0*p = p - 3. Solve h*q = 4*q - 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lg when two letters picked without replacement from slggl?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-38)\/(-38)*(10 + -12 + 2\/2). What is the nearest to n in 1, -0.2, 34, -1\/10?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 275*q + 8*q = -503*q - 380*q - 75790 for q.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13677 + 13678 + 2*k**2 - 5*k + 5*k.\nAnswer: 2*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 10  (b) 0.09  (c) -11  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = a**2 + a. Let q be w(-2). Sort q, 1, -2.\nAnswer: -2, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, 4078, 2\/9, -181 in descending order.\nAnswer: 4078, 2\/9, -0.4, -181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = r**2 - 7*r + 12. What is s(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r = 5*z - 35, 0 = 3*r + 2*z + 10 - 45. Solve -j + 4*j + r = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 3*u - 11*u + 8*u - 75*u**2 + 237*u**2. Let m(k) = -14*k**2. Determine m(n(a)).\nAnswer: -367416*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 541082695 to the power of 1\/2, to the nearest integer?\nAnswer: 23261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = y + 6. Let v be n(-3). Let c be 0 + v - (-186)\/(-64). Is 0 at least c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - -3 - ((-2 - -1) + 7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0 + 1.015.\nAnswer: 1.015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -49 + 46. Let y be ((-5)\/(-2))\/(6\/(-4)). What is the second smallest value in y, -1, v?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.27 and -131.\nAnswer: -130.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2314718 or -2314717?\nAnswer: -2314718","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Let s = 89 + -35. Suppose -s = 2*f - 2*q, -4*f - 91 = -3*q + 19. Let w = 150 + f. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q, 2 z, and 1 t when four letters picked without replacement from {h: 3, d: 1, m: 3, q: 2, z: 3, t: 2}?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (13\/5 + -3)*-10. Suppose 250 = -v*r + 9*r. Suppose -2*g + r = 3*w, -g - 7*w + 32 = -2*w. What is the least common multiple of 18 and g?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 56545 and 1720.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 12 - 8 + 14 + 13 - 3*p to the form y + d*p and give y.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 3*2*(-2)\/(-6). Let s = 9.3 - -5.7. Let l = s - 19. What is the nearest to v in l, -1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -s - 3*h - 45, 39*s - 41*s - 106 = -2*h. Let u = s - -603. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) -7  (b) 12  (c) 0.05333\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -127 + 124 + -135 + (5 - 2).\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 1, d: 3, l: 1}. What is prob of picking 1 l and 2 d?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*f - 171 = -31*f. Suppose -f*r + 8 = -15*r. Solve b + 1 = r for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 5496 and 3072?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in twenty-seven halves of a decade?\nAnswer: 1620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*n = -i - 27, -2*i - 24 + 106 = 8*n - 4*i for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -j**3 - 35*j**2 + j + 25. Determine i(-35).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 14439 smaller than 15495?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put -422, -1, 15, -4, 7 in descending order.\nAnswer: 15, 7, -1, -4, -422","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-165)\/(-30)*24\/(-22).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*u**3 - 2 - u**4 - 3 + 4 to i + a*u**3 + z*u**4 + w*u + g*u**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 61949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -577 (base 15) to base 13.\nAnswer: -742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -438869 (base 14) to base 12.\nAnswer: -9253a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zg when two letters picked without replacement from zzzzgzzgzzg?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 79 - 42. Suppose 2*h + c = 33 + 37, c = -h + d. Suppose -175 = 3*j - 466. What is the remainder when j is divided by h?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is c0a - 1b?\nAnswer: bef","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 8940 and 1860?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -21100 + -1010002210?\nAnswer: -1010101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*a - 2*a - 2*a)*(-1 - 2 + 4)*(1 - 1 - 1)*(4*a**2 - 9*a**2 + 7*a**2) to l*a + y + i*a**3 + w*a**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 4 + -2976a34?\nAnswer: -2976a30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4923328 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 652645.5mm in nanometers?\nAnswer: 652645500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -p**3 - 37*p**2 - 189*p + 635. Determine j(-30).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3\/66 + (-1197)\/924.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 533261 and 367.\nAnswer: 195706787","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -121 divided by 238874.\nAnswer: -121\/238874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 137 divided by -6.\nAnswer: -137\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:52 AM and 9:14 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/9 in -2\/9753, 0.1, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 371166 (base 9) to base 6\nAnswer: 4444440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 22023011 (base 5) to base 9\nAnswer: 317385","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Sort -893, -402, -1 in decreasing order.\nAnswer: -1, -402, -893","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1*7\/((-70)\/4)*-5. Suppose 0 = k + 5*z - 12 - 8, -3*k = f*z - 86. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 2*t**3 - t**2 + 3*t - 5. Suppose -s + 4 = -0*s. Suppose 3*b - 6*b = -3*r + 9, 3*b + s = 2*r. What are the prime factors of x(b)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -22 divided by 2478766.\nAnswer: -11\/1239383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 35780267 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w - 3*w + 5*v + 250 = 0, 5*w = v + 266. Let i be w\/13 - 22\/143. Let r(t) = -t**3 - 151*t + 151*t - i*t**2. Determine r(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36*m + 148*m - 153776 = 0. Calculate the remainder when m is divided by 79.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d + 54 = 12*j - 8*j, d = j - 12. Let x(u) = u**2 - 4*u - 11. What is x(d)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -2*j + 2. What is the smallest common multiple of 42 and x(-10)?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xlllxlll. What is prob of sequence xlx?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -11 + 24. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 403 is divided by 103.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -8 - -5. Let n be (-56)\/(-24) - 2\/6. Let x be n - 0 - (1 - 0). Sort x, a, -4 in decreasing order.\nAnswer: x, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 249703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 160496364, 3 in ascending order.\nAnswer: -3, 3, 160496364","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 1124 a factor of 17942412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*m*(m\/((((m\/((m\/m**(-4))\/m))\/m)\/m)\/m)*m)\/m)\/(m\/(m\/(m**(-1\/2)*m))*m))**(-28)*(m**(1\/2)*m)**(3\/5)\/(m**(3\/7)\/m*m*m**(2\/19)\/m) assuming m is positive.\nAnswer: m**(-277483\/1330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s = -5*r + 2, 347*s + 7*r + 2 = 345*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 14 + -13. Let r(n) = -9*n. What is r(o)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4093 - -9913. Suppose 4*q = -k + f, 5*q + 3*k - 4*k = 7266. Let c = q + -615. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -870137, -3480398, -7830785, -13921298, -21751937, -31322702?\nAnswer: -42633593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -73*l**2 + 6 - 13 + 9 + 3*l - l**2 - 3*l + 4*l**2 + 0*l**2 - 6*l**2 + (0*l - 2*l + 3*l)*(-2*l + 6*l - 5*l) + 2*l**2 + l**2 - l**2.\nAnswer: -75*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -14*m**2. Let o(x) = 246*x**2 - 1. Give o(u(j)).\nAnswer: 48216*j**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s = 4*w - 199, 13*w = 10*w + 3*s + 153. Calculate the remainder when w is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 3 + 0)*(1048343*v - 3935*v**2 - 524171*v - 524172*v).\nAnswer: -7870*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 3*i**2 - 12077 + 12108 - 9*i - 3*i. Is q(10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2983 by -3.\nAnswer: -2983\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 12  (b) 4  (c) 4\/5  (d) -3\/8  (e) -5  (f) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 201241 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, 1\/2, 1, -429, -4, -7.\nAnswer: -429, -7, -4, 0.1, 1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -0.1  (b) 2  (c) -0.0614  (d) 42\/53  (e) -3  (f) 2\/25  (g) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -115710 (base 8) to base 12\nAnswer: -1b0b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 83 = -5*q, -3*w - 45 = -54. Solve q*b + 22 = 27*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 171319 to the power of 1\/2, to the nearest integer?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 26663759.\nAnswer: 26663759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r*r**(-2\/13))**(1\/81))**(-32)\/(r**(-8)\/r**(-2)*((r**(-1)*r)\/r)**45) assuming r is positive.\nAnswer: r**(53351\/1053)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) be the second derivative of -13*d**5\/40 + d**3\/6 - 4*d**2 - 80*d. Let l(m) be the second derivative of h(m). Let y(r) = 5*r. What is y(l(z))?\nAnswer: -195*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4537 + -435557\/96. What is the common denominator of a and -5\/732?\nAnswer: 5856","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -3*x - 359. Let h(v) = -v**2 + 8*v - 4. Let j(y) = 4*y - 2. Let p(o) = h(o) - 2*j(o). Determine p(b(l)).\nAnswer: -9*l**2 - 2154*l - 128881","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i*i**(2\/11))\/(i\/(i\/i**32)*i*i))**(-29))**(4\/19) assuming i is positive.\nAnswer: i**(2204\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4 - 1 - 1)*(-2*m + 4*m - m) + 3 - 4*m - 3 + (2 + 8 - 1)*(-m + 0*m - m) to the form i + x*m and give x.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 17 - 231?\nAnswer: -218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) be the second derivative of -67*w**4\/4 + w**3\/3 + 3*w**2\/2 - 26*w. Let b be k(-1). Let h = -69 - b. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 128 + -125. Put 4, 0, p in descending order.\nAnswer: 4, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2*d + 2 - 2)*(0 - 3 + 0) - 2 + 2 - 2*d + 0 - 2*d + 0)*(-2*d**2 + 2*d**2 + d**2).\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.12, -2910\/13, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.3, -1\/4, -2\/7, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.1 - -0.1. Let o = -0.4 - -0.1. Which is the closest to 2\/3?  (a) 5  (b) o  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -173566810 by -1.\nAnswer: 173566810","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11409614*v**3 + 0*v + 0*v.\nAnswer: -11409614*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -157 + 164. What is the least common multiple of 4 and k?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 4493610 and 18360?\nAnswer: 17974440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 10380442, 20760881, 31141320, 41521759, 51902198, 62282637?\n\"Answer: 10380439*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 8 and 5656?\nAnswer: 5656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1156276081 to the nearest integer?\nAnswer: 1050","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 175.566 rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -198874 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out -603996 + 0.1.\nAnswer: -603995.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 16\/((-464)\/(-261)) - (-2)\/(-1). Sort -171, 3, h.\nAnswer: -171, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -4, -0.06, 2\/25?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r - r - 155 = -5*n, -4*r - 25 = -n. Suppose -o + 20 = 4*d - d, -3*o + 3*d = 0. Suppose o*l = l + 36. What is the remainder when n is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 (base 13) in base 12?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3148 divided by 787.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 - 0 - (-3 - (0 + 0))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-914)\/1828*300\/3*-1?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -z**2. Suppose -2*f + 5*f = 2*n + 6, 0 = 2*f - 5*n - 4. Let r(x) be the second derivative of 0*x**f + 3*x + 0 - 5\/6*x**3. Calculate r(p(t)).\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*o**5 - 2*o**4 + 33747*o**3 - 54918*o**2 - 50?\nAnswer: 120*o**2 - 48*o + 202482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 10 = -4*v, -2*y - 2*y - 2*v - 16 = 0. Let f(t) be the first derivative of 2*t**3\/3 + 1. Calculate f(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0186 to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 624 minutes after 1:13 PM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xvxppexapxaxrprxvxx. What is prob of sequence papp?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 10*r - 2*r - 2*r + 5*r to the form k*r + c and give k.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((v**(-1\/3)\/v)\/v)**(-5\/9))**(-4\/25))**(-2\/67) assuming v is positive.\nAnswer: v**(56\/9045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 16 + -15.45. Let y = r + -0.21. Let j = 3.26 + y. What is j rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = w**2 + 21*w + 54. Let j be x(-18). Solve -3 = d, -5*b - 2*d - d - 24 = j for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-five quarters of a millennium in years?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -98 - 131?\nAnswer: -219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 2, 39, 100, 197, 342, 547, 824?\n\"Answer: 2*j**3 + 23*j - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 13253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let -h**5\/3 + 523*h**4\/3 + 177*h**3 - 3655*h**2\/3 - 6806*h\/3 - 1048 = 0. Calculate h.\nAnswer: -2, -1, 3, 524","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 313023 (base 5) in base 2?\nAnswer: 10100010010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 16, 6, -1, -9, 1343 in increasing order.\nAnswer: -9, -1, 6, 16, 1343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by 135023?\nAnswer: -4\/135023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4 + -6. Let v = -13.1 + 0.1. Let m = v - s. What is the smallest value in 4, m, 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 2*x**3 + 4)*((2 - 1 + 1)*(-2 - 1 + 2) + 4 - 3 + 0 - 2 + 5 - 5)*(0 - 4 + 1).\nAnswer: 18*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.01, 5, 393 in ascending order.\nAnswer: 0.01, 5, 393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -l*o**3 - 8*l*o**2 + l*o + 4914*l - 2*o wrt o.\nAnswer: -3*l*o**2 - 16*l*o + l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 894\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*x - 11*x = -10410. Suppose -c = 4*i - 420, -5*c - 2*i = -0*i - x. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 901665446 to the nearest integer?\nAnswer: 30028","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 11150 + -4874. Suppose -7*c = -c - i. Suppose 4*y = j + 2160, 4*j + c = 5*y - 1643. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + 5 + (4 - 6) + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = v**2 + 2*v + 1. Let l be g(0). Let r(f) be the third derivative of -3*f**6\/40 - f**5\/30 + f**4\/12 - f**3\/6 + 19*f**2. Calculate r(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = n. Let m(b) = 4*b - 9. Let l(k) = 2*k - 2*k + 14 + k - 16. Suppose -49 + 13 = -4*j. Let h(p) = j*l(p) - 2*m(p). Determine h(s(d)).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 33733418 to the power of 1\/3, to the nearest integer?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jjjy when four letters picked without replacement from {l: 1, j: 5, k: 1, y: 1, r: 1}.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -37.1?  (a) 5  (b) 0.5  (c) 0.6  (d) 3  (e) -112\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 1229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 15\/4 of a kilometer?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*f = 3, 6*f - 23 = -4*q + 6 - 3 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -161 - 7 = 24*q for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 18414 and 5.\nAnswer: 92070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 21.11 + -21. Let d = 1\/195821 - -1019444121\/979105. Let s = -1041 + d. Sort 0.4, b, s in descending order.\nAnswer: 0.4, s, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) be the third derivative of 179*m**4\/12 - 347*m**3\/6 - 291*m**2 + m. Find the first derivative of n(f) wrt f.\nAnswer: 358","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-6 - -5) + ((-1200)\/(-75) - 14\/2). Let v = 0.02 - -2.98. Which is the second biggest value?  (a) -1\/3  (b) v  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -50, 15, -4 in decreasing order.\nAnswer: 15, -4, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is a - -65311?\nAnswer: 6531b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2 - 129\/(-12))*-4. Let t be 10\/n - 38\/14. Let l be 4 - (205\/215 - t). Which is the smallest value?  (a) -5  (b) 2  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2.3 - 4.1. Put m, -2, -4 in decreasing order.\nAnswer: m, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 8, g: 3, c: 1, a: 3, v: 2, o: 1}. Give prob of sequence cv.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2 + 14. Let i(v) = 6*v**2 + v. Let f be i(4). Suppose -f + 436 = 4*k. Calculate the highest common factor of b and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 84 is divided by 35.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1\/6  (b) -2  (c) 5  (d) 2\/21  (e) 2  (f) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 2*d**2 + 26*d + 27. Let p be r(-12). Put 6, -4, p in increasing order.\nAnswer: -4, p, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7107765 divided by -695.\nAnswer: 10227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 89987.246 to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.802386 rounded to one decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = z - 0. Suppose 3*w - w = z. Suppose h - 448 = 2*d, 448 = -w*d + h - 5*h. What is d rounded to the nearest 10?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 66.5 - -8.5. Let q = 126 - o. Which is the third smallest value?  (a) q  (b) 3\/2  (c) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0 and -786.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -86.5 + 87. Which is the nearest to -1?  (a) 0.3  (b) f  (c) 0.1  (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 13\/(455\/10)*(8 + -1). Find the third derivative of 9*g**w - 8*g**3 - 36*g**2 - 2*g**2 wrt g.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 2433.889 and -1734071.6.\nAnswer: -1731637.711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 9*b**2 - 9*b + 12. Let a(o) = 5*o**2 - 5*o + 6. Let g(m) = 11*a(m) - 6*h(m). Let t be g(-3). What are the prime factors of 76\/t*(-21)\/(-14)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1\/(-11*2\/(-4)). Let x be (-6)\/9 + 24\/9. Which is the nearest to 0.1?  (a) z  (b) x  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 34474211 to the power of 1\/4, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 102 and 866378.\nAnswer: 44185278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5 + 554.\nAnswer: 559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7 + 0*f - 2*f - f)*(-4 + 4 + f).\nAnswer: -3*f**2 - 7*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-12)\/(-7) + (-19)\/10640*1450.\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -239 - -239 - (-2 + 3 + 8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (-5*(sqrt(24)\/sqrt(3)*3 + sqrt(8)))**2.\nAnswer: 3203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 - 15)*(3 + 718*h**4 - 716*h**4 - 5).\nAnswer: -30*h**4 + 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 27\/5 of a hour?\nAnswer: 19440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1\/((-6)\/(-60)*(-15)\/(-42)). Find the second derivative of -84*x**3 + 16*x**2 + 0*x**2 + m*x - 16*x**2 wrt x.\nAnswer: -504*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -z**2 + 9*z - 8. Let i be k(8). Let n = 10 - i. What is the remainder when 38 is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**1)**(6\/23))**(7\/2) assuming w is positive.\nAnswer: w**(21\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.00169 - -0.09831. Sort -5, w, 207, -0.1.\nAnswer: -5, -0.1, w, 207","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 910813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -359.6 + 359.4. Which is the smallest value?  (a) o  (b) -4\/7  (c) 51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -117 = -4*m + l - 9, 30 = m - l. Suppose m = -5*p + 96. Calculate the smallest common multiple of p and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/10 of a kilogram in grams?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 33 = -13. Let i be (-14)\/(-18) + (-4)\/(-18). Let d(v) = v**3 + 9*v**2 + 3. Let w be d(-9). Put w, p, i in decreasing order.\nAnswer: p, w, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 535531 (base 8) to base 9\nAnswer: 302525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h = -3*t - 515, -4*h - 5*t - 312 = 113. Do h and -101 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = d**2 + d + 39. What is the tens digit of u(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*w**2 + 3464300*w + 41572320.\nAnswer: -5*(w - 692872)*(w + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: ((-168)\/48)\/((-2079)\/27918)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 3*q**3 + 18*q**2 + 30*q - 18. What is n(-5)?\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 + -11 + 12 + -5?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (sqrt(10)\/(sqrt(32) - sqrt(2))*-3 + (sqrt(245) + -1)*2)**2.\nAnswer: -52*sqrt(5) + 851","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.02  (b) 2\/11  (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 7733 divided by -19\nAnswer: -407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 = 4*d + b - 6*b, -5*d + 4*b = 15 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9348280 divided by 1869656.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand -188*o + 188*o + 19*o**3 + 0*o**3 - 3*o**3 + o**3 + (0*o**2 - o**2 + 0*o**2)*(5*o - o - 2*o) + 16*o**3 + 11*o + o**3 - 12*o.\nAnswer: 32*o**3 - o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -36, 2, 1517, -43.\nAnswer: -43, -36, 2, 1517","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 - (-123)\/45 - (-1)\/(-3)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5386*z**5 - 33962*z**4 - 48546*z**2 + 588*z + 4 wrt z.\nAnswer: 323160*z**2 - 815088*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3*c*n**5 - 23*c*n**2 - 18827*c + 2212*n**6 - 16*n**3 wrt n?\nAnswer: 180*c*n**2 + 265440*n**3 - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-2\/15)*s*s**7)**(-10\/17) assuming s is positive.\nAnswer: s**(-236\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 22 and -83138.\nAnswer: -1829036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 106*r = -4877 + 8693 for r.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*k = 86 - 11. Let z be (5*(-3)\/(-75))\/((-1)\/k). Let c(g) = -40102*g**2 - g + 3. Let t be c(z). Round t to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1032220421 (base 6) to base 4.\nAnswer: -222010221331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b + 12 = 4*m, 2*m + 7*b = 3*b - 12. Let i be ((5\/(-36))\/5)\/((-35)\/(-350)). Is i less than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 435944 to the power of 1\/3, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is seventy-one fifths of a century in months?\nAnswer: 17040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x = -0*x, x = g - 90. Let k = -69 + g. Which is greater: 0.3 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 86 is divided by 31?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:14 AM and 6:41 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(2\/7))**(1\/9))**(-26) assuming a is positive.\nAnswer: a**(-52\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 11621007143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 16202933 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*r - r - 3*r)*(3*r - 3*r + r) + (-2 - 3 + 4)*(0*r**2 - 4*r**2 + 2*r**2).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -5 + 111 + 1 + -2. Let i be 3\/(-4) - b\/(-156). Is i <= -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -16936 to the nearest 1000.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 4*u - 71030. Let j(y) = 2*y. What is j(f(c))?\nAnswer: 8*c - 142060","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - 1 = -4*u, -j = 4*j + 2*u - 17. Suppose j*v + 18 = 3. Let i be (-2 + v)*18\/(-21). Solve i = -2*b - 0*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = t**2 - 4*t - 6. Let q be f(5). Let x = 1 - q. Suppose 0*v + v = 16. Solve -x*b - 2*b = -v for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*y**8*y*y)\/y*y*y*y\/(y\/((y*y\/y**(3\/7))\/y)))\/(y*y**(-1\/3))**(-11\/4) assuming y is positive.\nAnswer: y**(605\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1748*h**4 + 1096*h wrt h.\nAnswer: 20976*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 1\/8  (b) 1501  (c) 4.8  (d) 0.2  (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -9*w + 194. Let c(g) = -3*g + 64. Let l(j) = -8*c(j) + 3*o(j). Give l(22).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 28809, 42379, 55949?\n\"Answer: 13570*b + 15239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 16569 and 27615.\nAnswer: 82845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = h**2 - 5*h + 9. Let b be u(4). Suppose b = 2*v + 1. Suppose 0 = -2*x - 3*x + 20. Solve v*k - x = 2*p, 4 = -2*p + 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -3  (b) -2\/7  (c) -0.2  (d) -14  (e) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3800426228?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.0551 - 7.9329. Let c = 8 + u. What is c rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -8868 or -2?\nAnswer: -8868","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 at most 212?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2 - 0)*-1 + -3. Let o(y) = 4*y**3 - 11*y + 8*y - 2 + 5*y**2 - 1. Let g(l) = l**3 + l**2 - l - 1. What is i*o(c) + 5*g(c)?\nAnswer: c**3 - 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2626, -5240, -7854, -10468, -13082?\nAnswer: -15696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 - -4 - -1 - -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 261 + 264 - 990*r**2 - 782 + 259 to p*r**2 + o + a*r and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 65461 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 35*n*t**3 + 3*n*t - 31*t**3 wrt n?\nAnswer: 35*t**3 + 3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 7, p: 1, e: 4, y: 6}. What is prob of picking 2 y and 1 p?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a + 63 = -18*a. Let r(n) = -n**3 - 33*n**2 - 28*n + 131. Let m be r(-32). What is the third biggest value in a, -20, 5, m?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -20*u - 27*u + 2068. What is the smallest common multiple of 28 and u?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -137 or 90?\nAnswer: -137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1041  (b) 1\/90  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 8 + -8. Suppose 25 = 5*j - t*j. Calculate the remainder when 9 is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 305244 and 9591?\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 384*((-77)\/(-14))\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p + 517 = 3*g + 2*p, 3*p + 333 = 2*g. Let q be ((-4)\/g)\/(9\/(-27)). Is -1 at least q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 11*o**2 - o - 1292.\nAnswer: 22*o - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 403 is divided by 35?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -150 + 164 = i - 3*m, 4*m + 16 = 0. Solve 0 = -2*w + 3*d - i*d - 1, 5*d - 27 = -w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -3563, -6638, -9713, -12788, -15863, -18938?\n\"Answer: -3075*z - 488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 81 - 81. Suppose 6*m - 60 + 18 = u. Solve -m = -5*r + h, 0 = 3*r - 4*r + 4*h - 10 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -29*r - 19*r - 720. Let n(z) = z**2 + 19*z + 35. Determine n(r).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1125 (base 8) to base 11.\nAnswer: -4a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 6871.4 + -6167. Round t to the nearest 10.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*t**3 + 176988*t**2 - 4604616*t - 9917152 = 0.\nAnswer: -44273, -2, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3478237*n**2 - 114647*n + 3?\nAnswer: 6956474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4 - 2*j + 4 + (3 + 2 - 2)*(4 - 4 - j) - 4*j + 6*j - 4*j - 2*j + 4*j + 0*j + j + 2*j - j + (1 + 0 + 1)*(5*j + j - 5*j) - 3*j + 0*j + j.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3472321.000011 + -3472313. Let r = o - 8. What is r rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -151, -611, -1377, -2449, -3827?\n\"Answer: -153*d**2 - d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -614*m - 13525. Give d(-22).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = 2*a - 3*a. Suppose 0 = -2*k + 3*p + 8, -p + 5*p + a = 3*k. Solve -4*i + 3*j + 0 = -k, 3*j + 7 = i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4 + 6. Let q(v) be the first derivative of -2*v**2 + 32*v + 13. Let l be q(8). Solve l = -s + h*b + 6, -2*s - b - 5 = -3*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -195 and -1.\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -2*q**3 - 6*q**2 + q + 7. Let u(x) = -2*x**3 - 7*x**2 + 3*x + 6. What is -3*u(l) + 4*z(l)?\nAnswer: -2*l**3 - 3*l**2 - 5*l + 10","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1779534 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 13 - 55?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 31373, 31378, 31387, 31400, 31417, 31438?\nAnswer: 31463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -y**2 + y + 1. Suppose c + 0*c = 3*d - 22, c - 2*d = -24. Let j(o) = -8*o**2 + 7*o + 7. Give c*b(n) + 4*j(n).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 15 = -4*d, 0 = 5*d + 34*o - 30*o - 18. Suppose -2*b + b = 0. What is the closest to d in -1\/5, b, 3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*d**2 - 2*d + 2*d)*(-2*d - 2*d + 3*d) - 340125 - 55*d**3 - 16*d**3 + 3*d**2 - d + 340126 to the form s*d**3 + r + q*d**2 + a*d and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*f + 6 - 6)*(-2*f - 1 + 1)*(-104 + 76 - 54)*(4*f - 6*f + 3*f).\nAnswer: 656*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 9452 - 4252. Round v to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -20, -44, -52, -38, 4?\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3216 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -5 + 7. Suppose m + 1 + 6 = -h*b, m + 4 = b. Is (b - -2)\/(1\/11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 18 - 17. What is the smallest common multiple of 5 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -448731*t - 7. Give w(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -399988*g + 7475 = -400053*g for g.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 16655 and 30.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 878 (base 14) to base 6\nAnswer: 11430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of -5 + (-56)\/(-12) - (-949)\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 136 divide 264786832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 + w)*(-18 + 20 + 7) - 2*w + 0*w - 4*w.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 168432 to the nearest integer?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -6 + 30. Suppose -m = -4*l - 4*j, 4 = l + 2*j + 2. Suppose l = -11*o + 16*o. Calculate the least common multiple of o and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -568  (b) 113\/2  (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) be the second derivative of 23*b**4\/12 - 11*b**3\/2 - 1943*b**2\/2 - 689*b. Find the first derivative of q(i) wrt i.\nAnswer: 46*i - 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2248166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 29 + -21. Let g(m) = m**2 - 7*m - 6. Let q be g(h). Does 22 divide 23\/(q + 10\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1296.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/(-22) - (((-4)\/(-16))\/((-627)\/3648) + -3)\nAnswer: 50\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 5.09 - 0.09. Let u be (-1 + -3)*(-18)\/108. Which is the closest to u?  (a) d  (b) 3  (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = 26*q**3 + 11*q**2 - q - 3. What is the tens digit of b(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 2, -18, 5 in decreasing order.\nAnswer: 5, 2, -2, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Are -5711095 and -5711113 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 43 + -42. Suppose -5*o + 21 = l. Suppose 0 = -5*f + 14 + 11. Solve -o*p + 17 = f for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5*327.\nAnswer: 1635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 766 in 0.3, 11, 13\/4?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-19360)\/800 + 84\/(-30).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 9, 48.66, -694?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 23911, 47297, 70673, 94033, 117371, 140681, 163957?\nAnswer: 187193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ad when two letters picked without replacement from daadaaad?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 145934 to the power of 1\/2, to the nearest integer?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 22, 26, 28, 28, 26, 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -1545 (base 7) to base 9\nAnswer: -760","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1560 divided by -312.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -72*k + 2925 + 2121 = 7926 for k.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b - 1520 = -5*m, -56*m + 52*m - 4*b + 1248 = 0. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - -1 - (-4 + 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 + 6 - 3)*(o - 3*o - o)*(5050 - 2922*o - 10101 + 5051).\nAnswer: 70128*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (4\/6)\/(18\/351). Suppose u + 3*x = -x - v, 4*u + 24 = -2*x. Let o = -9.9 - -10.1. Which is the nearest to 0.1?  (a) -0.4  (b) u  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -12\/13 or -11433?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 32806936 and 602?\nAnswer: 229648552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g = -4*z + 31, 2*z - 5*g + 15 = -2. Let t be (-4 + z)*(3 - 2). Let b be (-15)\/(-5) - (5 + t). Put -3\/4, 0, b in descending order.\nAnswer: 0, -3\/4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 138904571 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 28*l**3 + 33*l**3 - 14*l**3.\nAnswer: 47*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 672912 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1494550734.\nAnswer: 2, 3, 31, 283, 28393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d = a - 10, -a + 3*d - 6 = -0*d. Suppose a*c = 4*c - 17276. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 89 divide 9968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express 31*n**4 + 3*n**4 + 30*n**4 + (-23*n**3 + 4 + 5*n**3 - 2)*(-n - 1 + 1) in the form l*n**3 + d*n**2 + g*n + w*n**4 + r and give w.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 26122*a**2 - 26122*a**2 + 84*a**3.\nAnswer: 84*a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -359357*s**4 + 423444*s**2.\nAnswer: -8624568*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 267808785, 535617569, 803426353?\nAnswer: 1071235137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 5143 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (-2 - -12) + (26 + -52 - -22)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.271386817 rounded to 2 decimal places?\nAnswer: 7.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -109.7 - -10.7. Let q = u - -116.2. Let v = q + -17. Which is the nearest to 2\/5?  (a) v  (b) 0  (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15510761 is divided by 4826.\nAnswer: 4823","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-21*3\/18)\/((-1)\/(-2)). Let s(l) = 29*l - 60. Let t(x) = -14*x + 30. Let r(d) = -3*s(d) - 5*t(d). What are the prime factors of r(n)?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12 divided by -3392.\nAnswer: 3\/848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 28014913 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -37 divided by 6?\nAnswer: -37\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 22\/(-33) + (-10486)\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-8)\/((-1)\/3*-6). Let r be (-334)\/l + 1\/2. Suppose -13 = -k + r. Is k a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -1301, -2697, -5023, -8279?\n\"Answer: -465*h**2 - h - 835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -65.1 + 65. Suppose 4*a = -0*a - 20, 16 = -4*v - 4*a. What is the smallest value in v, u, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20593*k - 10295*k - 5845*k**2 - 10298*k + 5867*k**2.\nAnswer: 22*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 5*m**3 + m**2 - m - 2. Let f be 266\/(-28) - -11 - (-2)\/(-4). Let u be o(f). Factor 0 - 3*z**u + 3\/2*z**4 - 3\/2*z**2 + 3*z.\nAnswer: 3*z*(z - 2)*(z - 1)*(z + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((14 - 17) + -1)*(1 - -1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 55 + -37. Calculate the lowest common multiple of 12 and l.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17 = 6*d - 3*d - 2*j, 3*d + 2*j = 1 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 6801\/(-6795) + 5 + (8\/(-2) - 0). Which is greater: b or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1125902?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 97967?\nAnswer: 97967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.9 and -2196.\nAnswer: -2196.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -662.6 - -663. Let z(p) = -p**3 - 6*p**2 + 1. Let k be (-4)\/(3\/((-18)\/(-4))). Let s be z(k). Which is the closest to -2\/3?  (a) s  (b) 5  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 81 (base 15) in base 16?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(63) + 3)*5)**2.\nAnswer: 450*sqrt(7) + 1800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g = 3*v + 59 + 19, -g = -v + 16. Let q(r) = -5*r + 25. Let m be q(g). Does 26 divide (4\/(-4) + 2)*m\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 4 + (2*-3 - -2). Solve k = -w + 5*k, p = w - 2*k for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -z - 4. Let l be t(-8). Is 22 a factor of (-8 + l)*11*-1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j = i - 4*j - 5, -1 = i + j for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -527*p + 2831. Let v be x(5). Suppose -3*l + f = -135 - 38, 2*f = l - 66. Calculate the greatest common divisor of v and l.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 289136?\nAnswer: 2, 17, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-30)\/(-4)*(-18)\/(-165)*-11.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -j**3 - 8*j**2 - 7*j + 1. Let t be (-1 - 0)\/((-1)\/(-7)). Let c be u(t). Let w = 1 + c. Solve w*a = -3 + 9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find p such that -2\/3*p**2 - 2*p - 4\/3 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 18 + -16. Suppose -s*a + 3 = -a. Suppose 0 = -a*i - i + 2212. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) be the second derivative of 7*m**3\/6 - 3*m**2 - 8*m. Suppose 4*i - 2*c + 5 = 27, -4 = 4*c. What are the prime factors of j(i)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33*j - 34*j = -10. Is j\/25 + 1584\/15 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 (base 5) in base 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -55, -85, -157, -295, -523, -865, -1345, -1987?\nAnswer: -2815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -3*w**2 + 40*w - 16. Let o be p(13). Put 3, -55, o in increasing order.\nAnswer: -55, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - 16 = 5*c. Let u be c\/(-56) + (-26)\/(-7). Suppose 5*j + u*h = 198, -j - 3*j + 146 = -3*h. What is the remainder when j is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1180, 1641, 2102, 2563, 3024, 3485?\nAnswer: 3946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 1  (b) 3  (c) -470  (d) -0.2  (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 99793286 a multiple of 184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (5\/(-3))\/((-2)\/(-12)). Let h be -3*s\/6 - -2. Let b be (2 + h\/(-3))*2. Is -3 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (208\/(-20))\/4 + 2. Suppose -5*g = -2*i - 3 + 19, -g = 2. What is the smallest value in 1\/2, i, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 492137, 492135, 492133?\nAnswer: 492131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -26 - -39. Let m(l) = -12*l - q*l + 39*l. Let y(g) = -5*g. Give 3*m(t) + 8*y(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 429 minutes before 12:43 AM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -138077, -138075, -138073, -138071, -138069, -138067?\nAnswer: -138065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eqffafeyyy. Give prob of picking 1 a and 2 e.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3a (base 16) to base 12.\nAnswer: -4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -160 by -5.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -9, 251, 509, 765, 1019, 1271, 1521?\nAnswer: 1769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - (-2 + 8))*(-1072)\/1072.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -293265 divided by 6517\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -15*n + 505. Let h be i(33). Solve -v - 19 = -4*q - 2, 0 = -5*v + 5*q - h for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 8\/25 of a millimeter?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 6 + -1 + 1 - 8 - -5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + -19 + -31 + 56.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 26.83 + -27. Let w = 0.24 + v. Let z = -0.07000068 + w. What is z rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -112 divided by -7404.\nAnswer: 28\/1851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2)\/8 + 22\/24. Let z(d) = 7*d + 7 + 5*d**2 + 47*d**3 - 46*d**3 + d**2. Let l be z(-5). What is the nearest to -1 in -0.3, l, n?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/4 of a centimeter in micrometers?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Are -2\/45 and 2996 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36*c - 21*c = 75. Suppose -3*d + c = -43. Solve -d*a = -17*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z + 2*y - 113 = 3*y, 3*z = y + 86. Suppose -5*m + z + 3 = 0. Solve b - 4*g = 17, 2*g = -3*b + b - m for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 64533584 divided by -1\nAnswer: -64533584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hhthshhhphtph. Give prob of picking 1 s, 1 t, and 1 p.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = y. Let n(i) = 52*i**2 + 58*i + 5. Determine u(n(t)).\nAnswer: 52*t**2 + 58*t + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -27 + 25. Suppose m + m = -2. Sort m, -5, u in descending order.\nAnswer: m, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 20 - 4 = -3*q, 5*q - 2*p - 9 = 0. Calculate the highest common factor of 2 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(1\/2)\/t)**(-5)*(t*t\/(t\/t**3)*t)\/(t\/(t*t**9*t*t)) assuming t is positive.\nAnswer: t**(37\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a**4 + 9618*a**3 - 11461330*a**2 - 246209250*a + 1516378500 = 0. Calculate a.\nAnswer: -26, 5, 2415","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2 + 5. Let t(g) = g - 2*g + u*g. Let c(r) = 4*r**2. What is c(t(v))?\nAnswer: 16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -15127 + 15133.9998. Let n = f - 7. What is n rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 67023\/42 - 2\/(-4). Let b = -1591 + g. Find the common denominator of -89\/6 and b.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**8*f)\/(f*f*f**(-2)) assuming f is positive.\nAnswer: f**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, -4, 1, 3, -78.\nAnswer: -78, -7, -4, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 111011 (base 2) to base 8\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 245*i**3 - 133175980*i**2 - 76100620*i - 10871520 = 0.\nAnswer: -2\/7, 543576","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.517 rounded to 0 dps?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -392 - -407. Which is the biggest value?  (a) -0.2  (b) g  (c) -4  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2)\/((-4)\/90) - 0. Let n be -2 - y\/(-3) - -1. Suppose -n + 44 = 5*p. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3434693*l + 11595*l**2 - 3434693*l + 1567*l**2.\nAnswer: 13162*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 95, 108, 133, 176, 243, 340?\n\"Answer: y**3 + 6*y + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = j - 4. Let o be b(4). Let g be 1*-2*(o - 1). Let p(q) = 2*q**g + q**2 + q**2. Let a(i) = 2*i**2. Determine p(a(r)).\nAnswer: 16*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence um when two letters picked without replacement from umbmmubbmbbbmb?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 103691, 103689, 103687, 103685, 103683?\nAnswer: 103681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -148*r**2 + 0*r - 6 - 4*r + 27*r - 23*r as v + l*r**2 + w*r and give l.\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19296 is divided by 6183.\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.001225 to four decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -1334, -5400, -12184, -21692, -33930, -48904?\n\"Answer: -t**3 - 1353*t**2 + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:40 AM and 6:49 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 4, v: 2, r: 8}. What is prob of picking 2 v and 1 d?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (9 + -11)*(-1)\/(2\/12). Suppose -48 = d*y - 15*y. What is the greatest common divisor of y and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 5136 and 2568.\nAnswer: 5136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 41554.\nAnswer: 2, 79, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:34 AM and 10:20 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 670427\/36 + -18619. Find the common denominator of b and -61\/1244.\nAnswer: 11196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17659 + 48753 = -2605*s + 3892 for s.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n**0\/n*n\/n**(-2))\/(n*n**0)**(7\/2) assuming n is positive.\nAnswer: 1\/sqrt(n)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 8 = 16. Solve -5*f = 4*g - 13, -g - 5*f + u = -f for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 2*q**2 + 4*q + 3. Let y be x(5). Let w = -364\/5 + y. Which is the second smallest value?  (a) 2  (b) 0.3  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of ((-2)\/3)\/(-1 + 152\/168) and 135?\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 15 = 3*f, -5*f + 3*f = 3*z - 7. Find the second derivative of -21*m - 3 + 4*m**z + 3 - 15*m**3 wrt m.\nAnswer: -66*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (182\/8 + -4)\/(5\/360). Suppose 22*o = 13*o + d. Calculate the remainder when o is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(sqrt(21)\/(3*(sqrt(48) + sqrt(3))) + (((2*sqrt(112))**2 - sqrt(112) - sqrt(112))*5 - sqrt(112))).\nAnswer: -4480 + 1318*sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -46a0512 (base 11) to base 16\nAnswer: -7d1d9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*f - 2*f - 2*f**2 + 3 - f**2 to the form m + y*f + z*f**2 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand -i**2 + i**2 - 2*i**2 + (-3*i + 11*i + 11*i)*(4*i + 2*i - 5*i).\nAnswer: 17*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.64 + 0.64. Which is the closest to x?  (a) -0.02  (b) -0.3  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*u**2 - 15*u - u + 3*u.\nAnswer: 5*u**2 - 13*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i = -x - 28 + 122, 2*i - 17671 + 17471 = -2*x + i for x.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (21 + 2197\/(-104))\/(2\/(-8)). Let j = -5\/2 + 2. Put f, 1, -2\/9, j in ascending order.\nAnswer: j, -2\/9, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 21985?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -11623.9 and -7.39?\nAnswer: 11616.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3192 - -2736. Does 38 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -136355 = -11*n - 136212 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + 75 = g - 2*g, 3*f - g + 125 = 0. Let q = -17 - f. Is q a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 27413 is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w = 5*v + 149, -6*v + 102 = w - 3*v. Suppose w = -4*d + 687. Is d a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -8.5544 - -5\nAnswer: -3.5544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/4?  (a) -16\/5  (b) 2  (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*g**2*x**3 - 5*g**2*x - 5*x**5 - 147*x**3 + 128*x**2 wrt x.\nAnswer: -12*g**2 - 300*x**2 - 882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 95 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -22*n + 2. Let o be u(0). What is the third smallest value in o, -3, -0.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = -5*d + 2*t + 15, 0 = 2*d - t - 5. Suppose 2*p + 2245 = 5*v - 3*p, -d*p - 1800 = -4*v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*q**3 + q**3 + 0*q**3)*(-21 + 83 + 2) + (0 + 0 - 2*q**2)*(-5*q + 4*q + 3*q) + 2*q + 2*q**3 - 2*q.\nAnswer: 62*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-4)\/26 + (-56)\/(-26). Suppose -49 = -4*j + 4*u + 103, i*u + 8 = 0. Let f = j - -333. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 444 minutes after 9:19 AM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 2146.2849 months in decades?\nAnswer: 17.8857075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b = 4*k - 4758, 1185 = -34*k + 35*k - 5*b. What is the lowest common multiple of 8 and k?\nAnswer: 4760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = 25*g + 18. What is n(2)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14 + (-2 - -4) + -3 + (2 - 2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -428964300 to the nearest 1000000.\nAnswer: -429000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*r + 4*r + 2*r - r + 4*r - r + (-3 + 1 + 4)*(0*r + 5*r - 4*r) - 18*r - 65*r + 38*r in the form p + a*r and give a.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -3*g + 2*g - g**2 + 3*g - g. Let j be ((-1 + 0)*0)\/(-1). Suppose j*p - 20 = -5*p. Give f(p).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1168 = -43*j - 18*j + 357 for j.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -20113110 (base 4) to base 13.\nAnswer: -12795","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + (8 - 8) + 0 - (0 + 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (-y**2 - 2 + 2)*(3 + 6 - 4) as z*y + b*y**2 + i and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1222 = 2*m + 426. Let z = -269 + m. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x = -5 - 4. Suppose d = -3*d - x*z, 0 = -2*z. Solve w + 4*c = 21, -2*w - 2 = -d*c - 3*c for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1253)\/(-895)*(-2)\/(-14)*-1.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -y - 108 = 3*o - 107, 5*y - 80 = 2*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2603 + 6363. Round s to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 984 (base 11) in base 13?\nAnswer: 6cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*r**2 - 6*r**2 - 9*r**4)*(-8*r - 53*r + 4*r).\nAnswer: 513*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 5*7\/5*(-82)\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 688 and 112.\nAnswer: 4816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r - 4*t = -t + 23, t = -4*r - 21. Let m = -1 + 2. Put r, 4, m in descending order.\nAnswer: 4, m, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2)\/(-5) + (-2)\/5. Let v(g) be the first derivative of -5*g - 1\/2*g**2 - 6. Determine v(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 26019 + -13671. List the prime factors of r.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.3517 * 0.4.\nAnswer: -0.14068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand 42*l - l**4 - 42*l + (0*l + 0*l - 2*l)*(-2*l**3 - 2*l**3 + 5*l**3) - l**4 - l + l.\nAnswer: -4*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.1078943357 and -4?\nAnswer: 0.4315773428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lili. Give prob of sequence ill.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 54 = -h. Suppose d + 7 = -0*d - 3*l, -5*l = -5*d + 25. Suppose -4*u + m = -43, 5*u = m + d*m + 59. Calculate the remainder when h is divided by u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 626879945 to the power of 1\/3, to the nearest integer?\nAnswer: 856","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n*n*(n*n**0)\/n)**(-28\/9)*(n**2\/n)**(-9\/5))**(3\/7) assuming n is positive.\nAnswer: n**(-361\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 1 + 14 + (1 - 5 + 2)*(7 + 5 - 11))*(2 - 6*k - 2).\nAnswer: -90*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1989 - 229. What is the second derivative of -y - 2*y - 1772*y**2 - 15 + h*y**2 wrt y?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -34117237911 - -0.0396\nAnswer: -34117237910.9604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 40714400 is divided by 1027.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -m**3 - m**2 + 6. Let z be u(0). Does 7 divide -2*21\/z*-2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 907482985?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 - ((-25 - 1) + (13 - (0 - 0))).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = d - 1. Determine i(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -55 + 12 + 389 + -324.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 61133 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3813.\nAnswer: 3, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -6?  (a) -2  (b) 0.04  (c) 0  (d) 1  (e) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 208832015 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g = g + 6. Let t(z) = 4*z - 4 + 8 + z - 2. Give t(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 9, d: 1, a: 4}. What is prob of sequence ccd?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 161714 to the nearest integer?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2358315680.\nAnswer: 2, 5, 7, 251, 8389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i = 3*i + 2*z + 20, 0 = -4*i - 3*z + 69. What is the lowest common multiple of (-18)\/30 + i\/5 and 7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3.26 + 0.26. Let q be ((-6)\/20)\/(12\/(-16)). Sort q, -5, t in increasing order.\nAnswer: -5, t, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (((-7)\/((-4592)\/(-3)))\/(3\/(-36)))\/(243\/(-324))\nAnswer: -3\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1916407213 to the nearest integer?\nAnswer: 1242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 93*j + 772. Calculate the remainder when 40 is divided by q(-8).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 275 divide 6532476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 6*s + 5. Let j = 179 - 112. What is the remainder when j is divided by y(3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 395 and 2046258.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 35 a factor of 1680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {t: 8, r: 1, s: 9, q: 2}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 40 and 5070.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 28\/(-42) + (-218)\/(-3) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 124202542 is divided by 57.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -2*w**2 + 72*w - 639. Let o be d(19). Solve -10*z = 5*l - 12*z + 26, 0 = 2*l + 5*z - o for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-9 - (0 - 6))*(-4)\/(-42)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6\/(-5)*(-210)\/378?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find w such that 2*w**2\/5 - 5836176*w\/5 + 4257618787872\/5 = 0.\nAnswer: 1459044","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/(k**20*k))**(20\/11) assuming k is positive.\nAnswer: k**(-400\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - 9 = 16. Let r be (-4)\/(-10) + 13\/n. Suppose r*d - 51 = -6. List the prime factors of d.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 309 - 174 = -4*q - 5*j, 2*q = -64*j + 240 for q.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -11*v**2 + 482*v + 7505. Determine w(56).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5 + -2. Suppose 8*u = 5*u + k. Let y be u*(-1)\/8*-2. Is y greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5915401 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ooaaoaaoooooooaoooo. What is prob of sequence ooo?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -i**3 + 5*i**2 + 2*i - 14. Give f(-5).\nAnswer: 226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*q**2 + q**2 - 3*q**2 + 2*q**2 - q**2 + 2 + q**2 + (-2 + 4 + 0)*(3*q**2 + 0*q**2 - 2*q**2).\nAnswer: 2*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -2*z + 2*y, 0*z - 2 = 5*z + 4*y. Find the second derivative of 5*s - 6*s**2 + 3*s**z + 6*s**2 wrt s.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 14817, 14817, 14811, 14799, 14781?\n\"Answer: -3*f**2 + 9*f + 14811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -39466 (base 10) to base 6.\nAnswer: -502414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) be the third derivative of -37\/120*i**6 + 91\/6*i**3 - 1\/60*i**5 + 0*i + 168*i**2 + 0 + 0*i**4. Differentiate a(y) with respect to y.\nAnswer: -111*y**2 - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 313 minutes before 8:24 AM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 73486 + 21915. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 9\/598220 and 93\/2572346.\nAnswer: 25723460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00035046 to five decimal places.\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -y**3 - 14*y**2 + 13*y + 22. Let u(i) = -i**2 + 14*i + 31. Let s be u(16). Let q = s + -14. What is the tens digit of n(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 445e4 + 5b?\nAnswer: 44650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide -27 by -201334.\nAnswer: 27\/201334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/6, -0.01, 2 in decreasing order.\nAnswer: 2, 1\/6, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 631537690 to the nearest 1000000.\nAnswer: 632000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 89 - ((-5)\/10 + (-10)\/(-4)). Let u = q + -84. Are 5 and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -71, -11, 0 in descending order.\nAnswer: 0, -2, -11, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 14725\/44 + -1349\/4. What is the common denominator of x and (246\/4)\/(21*1)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2 + 1. Let o be r\/(-4) - (-22)\/8. Let v(u) = u**3 + 10*u**2 + 9*u + 4. Let q be v(-9). Solve -q*n + o*x - 3 = -n, -n + 3*x = 7 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 12268647 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 115969, 115875, 115729, 115531, 115281, 114979?\nAnswer: 114625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of i**2*z**2 - 206*i**2*z - 91*i*z**2 wrt z.\nAnswer: 2*i**2 - 182*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -4*i - 14. Let r be x(-4). Suppose 4*h = r*m + 1776, 3*m = -h + m + 439. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -i + 2*i**2 - i - i**4 - 22*i**3 + 23*i**3 + 11 to w + d*i**2 + g*i**4 + s*i**3 + u*i and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (-24)\/(-66) - 430\/1419\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) be the third derivative of 2353*h**4\/24 - 334*h**3\/3 + 2*h**2 + 169. What is the derivative of j(f) wrt f?\nAnswer: 2353","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 43*u. Let k(l) = -15204*l. Determine k(w(c)).\nAnswer: -653772*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2\/3, -5, -3, 0.0349, 2\/19, 3?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express -366*t - 6 + 372*t - 8 as v*t + p and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = 5*g - 8. Suppose -2*a - 12 = -3*a - 4*h, 0 = -2*a + g*h + 4. Suppose 0 = w + 3*w - 8. What is the least common multiple of a and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -40*u**3 + 258*u**2 - 509*u**2 + 251*u**2.\nAnswer: -40*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 210 - -111100111121210?\nAnswer: 111100111122120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 14228352 and 358.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/6 of a minute in seconds?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-15732)\/(-456)*18\/(-81)?\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**(-1)\/(h\/((h*h\/(h\/(h\/h**(9\/2))))\/h)*h) assuming h is positive.\nAnswer: h**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = c**2. Let k be 6\/(5 + 130\/(-30))*-1. Let f(a) = 12*a**2 - 3*a. Give k*v(y) + f(y).\nAnswer: 3*y**2 - 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express -7*s**4 - 4*s - 105 + 104 + 12*s**3 + 12*s**3 + 5*s**3 - 2*s**3 - s**2 as u*s**4 + m*s**3 + h*s + d*s**2 + v and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 72 and 210127320.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20*o - 12*o - 1147 + 324.\nAnswer: -32*o - 823","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 418, 422, 414, 382, 314, 198, 22, -226?\nAnswer: -558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-3 + 1)\/((-1)\/2). Let a be (-2)\/((-4)\/(-6)) - -1. Let u be -6*((-3)\/(-2) + a). Solve w*d - 2 = 2*t, -1 = -u*t - 0*t + 4*d for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) be the third derivative of 1\/24*v**4 + 11\/60*v**5 + 0*v**3 + 0*v + 0 - 5*v**2. List the prime factors of w(1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -757*(2 - 3)*4\/4. Let k = -654 + m. Calculate the remainder when k is divided by 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -9*s + 15*s**4 + 391*s**3 - 193*s**3 + 1 - 2*s**2 - 13*s**4 - 207*s**3 in the form p*s**4 + u + b*s + i*s**2 + k*s**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*z + z - z)*(-2*z + 4*z + 2*z).\nAnswer: -16*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-893)\/893)\/(4\/76)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -2*k**2 + 4*k + 30. Let f(o) = o + 1. Give -d(i) + 3*f(i).\nAnswer: 2*i**2 - i - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -5, -8, 4, -3 in decreasing order.\nAnswer: 4, -1, -3, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 149460 greater than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 2*g = t + 6, 2*t = -5*g + 32. Let i(n) = -3*n**2 + 7*n - 1. Let k(o) = -13*o**2 + 29*o - 7. Let h(v) = 9*i(v) - 2*k(v). Calculate h(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -51*y + 8*y + 86 = 0. Let h(n) = n**2 - 3*n + 1. Calculate h(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 3  (b) 83\/5  (c) 0.5  (d) 1  (e) -0.01  (f) -29\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.7?  (a) -1  (b) -1\/2  (c) -2\/7  (d) -695  (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2231913143 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 6, x: 1, n: 1, g: 1, t: 5}. What is prob of picking 1 z and 2 t?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t = -3*o - 15, -28 = 2*o - 5*t - 1. Let g be 14\/4 + -3 + (-27)\/o. Let c(n) = n - 4. Let r be c(8). Solve 4*v + g*x - 28 = -10, -12 = -2*v - r*x for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 62 + -161. Round x to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -u - 3 + 20. What is the remainder when 99 is divided by u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 7*6\/252*0. Let a(z) be the third derivative of 0 + 7\/24*z**4 - 6*z**2 + 1\/6*z**3 + f*z. What is a(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 28.63 and 26?\nAnswer: 744.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*z**3 + 1 + 11*z**2 - 4*z - z**2 + z**3 - 2 as q + r*z**2 + i*z**3 + d*z and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 11189, 11405, 11647, 11909, 12185, 12469, 12755, 13037?\nAnswer: 13309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 150 = 153. Put 1, 3, -44, 2, y in decreasing order.\nAnswer: 3, 2, 1, y, -44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2513\/(-42721)*(-255)\/(-145)?\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -169752 times 0.6?\nAnswer: -101851.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 6279 and 21528.\nAnswer: 150696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 216313?\nAnswer: 199, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -4\/1141, -237, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -15*x**3 + 39*x**2 - 13*x - 13. Let t(u) be the second derivative of 7*u**5\/20 - 5*u**4\/3 + u**3 + 3*u**2 + 4*u + 62. What is 6*a(i) + 13*t(i)?\nAnswer: i**3 - 26*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 64\/288*(-18)\/8.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 24814*j**3 - 12*j**2 - 5*j + 4?\nAnswer: 148884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 195*q**2 - q + 42. Let l be j(5). Let s = l - 683. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 3 = -5. Let z be 1 - (-3 - 39) - t. Suppose z = 3*s - q, 0 = 4*s + 3*q - 37. List the prime factors of s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -48, 9, 66, 123, 180, 237?\n\"Answer: 57*z - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 3*-16*(-8)\/2208. Let k = -14 + 14. Which is bigger: q or k?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = m**2 + 45. Let c be b(0). Suppose -g + 2*j + 9 = 0, 57*g = 58*g - 5*j - 3. Suppose 2*s - c = -g. What is s rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 38 + (-23 - (-48 + 39))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -106 or -16?\nAnswer: -106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/3?  (a) 55  (b) -413  (c) 4  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nooopoewwnwnunw. What is prob of sequence nw?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 47457735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 32*w**2 - w + 1. Determine g(1).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.2411 + 0.1411. What is the smallest value in 2\/13, 11, 2\/7, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -81 and -24.2.\nAnswer: 1960.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -332 - 14?\nAnswer: -346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:57 AM and 12:08 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express 307 + 2*y + 385 + 945 + 2293 - 630 as f + m*y and give f.\nAnswer: 3300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2 and -5.315.\nAnswer: -10.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 5*y - 5. Let z = 4675 + -42119\/9. Find the common denominator of z and y\/(-7) + 598\/(-112).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/37 in 4, -34, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 12) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -238, -231, -224, -217?\nAnswer: -210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -h + 3*h - 70. Let f be ((-189)\/(-18))\/((18\/(-294))\/(10\/(-7))). What is the greatest common factor of h and f?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -3474285 not equal to -3474285?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1010101 (base 2) to base 14.\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 1\/80 of a day?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = d. Let g(b) = -25*b. What is k(g(s))?\nAnswer: -25*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (347*r + 402*r + 2079*r)*(-4*r + 5*r - 2*r).\nAnswer: -2828*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 6*t - 8. Give w(-8).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = h**3 + 124*h**2 - 10*h - 907. Determine k(-124).\nAnswer: 333","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1400 + 6*i**3 - 4*i**3 - 1382 to the form b*i**2 + y*i**3 + d + v*i and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -2*t - 1. Let s be k(5). Let c(f) = f**2 + 2*f + f - 2 - 11 - 2*f. Is c(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 5\/4, 2\/33 in descending order.\nAnswer: 5\/4, 2\/33, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -331, -1310, -2941, -5224?\n\"Answer: -326*o**2 - o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4*r**5 + 23445*r**4 + 137*r**2 + 4106?\nAnswer: 240*r**2 + 562680*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 12 + -7. Suppose 2*b - 7 = -4*r + u*b, 3*b = 5*r - 8. Let k(o) = -o**3 - 5*o**2 + 6*o + 5. Let x be k(-6). Put r, x, 3 in decreasing order.\nAnswer: x, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -108170513 divided by 5.\nAnswer: -108170513\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.002 times -0.1?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*l**3 + 228486822 - 5*l**3 - 228486822.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) be the second derivative of 0 - 4\/3*z**3 + 9\/2*z**2 + 7*z. Is y(-9) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 85*f - 41196 - 1344134. Does 10 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 + (26\/(-65))\/(1\/14).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2917*i - 3850 = 3192*i for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -509.36148 rounded to the nearest integer?\nAnswer: -509","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -2*t**2 - 2*t + 2. Let f = 7 + -5. Let n(s) = -s + 1. Let p(d) = f*n(d) - k(d). Let b(r) = 3*r**2. Give p(b(h)).\nAnswer: 18*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -6097, -24183, -54331, -96547, -150837, -217207, -295663, -386211?\n\"Answer: -t**3 - 6025*t**2 - 4*t - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*i**2 + 308 - 308.\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 14) to base 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 137\/324 and 19.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -f**2 - 44297*f + 125546 with respect to f.\nAnswer: -2*f - 44297","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 0 + -1343402133?\nAnswer: -1343402133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -m*q**4 + 3*m*q**3 + 198*m*q**2 - 3*m - 245*q**3 + q**2 wrt q.\nAnswer: -24*m*q + 18*m - 1470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1582 and 574.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence euu when three letters picked without replacement from eeeeeuueeee?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 21\/(-4) + (-1)\/(-4). Let y(n) = -376*n + 746*n - 382*n. Let z(s) = -3*s. Determine x*y(l) + 21*z(l).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - 5*s = 1, 2*s = -j - 1 + 6. Let h = 12 + -7. Suppose -h*q + 5 = -15. Solve -q*p = j*f - 24, -2*p = -f + p - 5 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(0 + -5*((sqrt(1100)*2 - sqrt(1100)) + sqrt(1100)) + 4))**2.\nAnswer: -7200*sqrt(11) + 990144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 9\/110 and -179\/330?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2451*x - 1223*x - 1228*x - 2266*x**2.\nAnswer: -2266*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1\/67  (b) 5  (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -f**2 + 7*f - 3. Let k be 8\/(-6)*(-9)\/(-2). What is the remainder when (-33)\/1*(5 + k) is divided by h(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) be the third derivative of -s**6\/40 + s**5\/60 + s**4\/24 - 2*s**2. Let l = 4 + -2. Suppose -i - 3 = l*i. Determine j(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (520\/(-32))\/(-13)*(-40*1)\/(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 4*d**2 - 19*d - 3. Let r be u(5). What is the common denominator of -115\/6 and 584\/(-30)*r\/(-128)?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -8328000 to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = l**2 - l - 4. Suppose v + 2*b - 5*b = -3, -4*v = 2*b + 68. Let q be ((-18)\/v)\/(16\/40). Let y be h(q). Is 3\/4 less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/31 in 2.5, -5\/2, 0.174?\nAnswer: 0.174","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1095.1413 months in decades?\nAnswer: 9.1261775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = f - 3. Let g be k(3). Put 4, 14, g in decreasing order.\nAnswer: 14, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:32 PM and 10:36 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 6185321 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 91481 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -50 + 50.021. Let h = -0.175 - r. Let y = 0.129 + h. What is y rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -j**2 + 22*j - 24. Let b be (1\/(-3)*1)\/((-6)\/324). Let f be d(b). What is the highest common factor of 72 and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -2*d**2 + 2. Let m be g(-5). Let u be m + 1 + 3 + -3. Let v = 76 + u. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l = -3*s + 2, -3 = -2*l - 2*s + 1. What is the greatest common factor of l and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/4 of a millennium in decades?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -192 - -0.73?\nAnswer: -191.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 173 + -100. Is q a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v = i - 3 - 0, 0 = 4*i + 8. Let u = -82400\/93 + 886. Which is greater: u or v?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4 and 50?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**(1\/5)*c**(-2)\/c*((c*c**(-1\/2))\/c*c)**(-41) assuming c is positive.\nAnswer: c**(-233\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 + 3 + 5)*(-3 + 4 + 0)*(1 + 2 - 1)*(-2 - 2*g + 2).\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 44, 5, 1259, 514 in ascending order.\nAnswer: 5, 44, 514, 1259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (19 - 16) + 1 + -3 + 2. Let u = 5 + -2. Do x and u have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) be the third derivative of 2*f**5\/5 - f**4\/24 + 3*f**2. Let n = -12320 - -12319. Calculate i(n).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 515043*r**2 - 1030083*r**2 + 515042*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*t - 84 = -11*t. Factor 5\/3*f**4 + 0 - 5\/3*f - 5*f**t + 5*f**2.\nAnswer: 5*f*(f - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (94\/(-9))\/((-195)\/((-8775)\/(-10))).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 180.009589 rounded to two decimal places?\nAnswer: 180.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -1 + 2 - (-9)\/(-4). Let j = -24.006 - -0.006. Let d = 24.3 + j. Which is the biggest value?  (a) d  (b) 0.2  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*t + 21 = 104 + 61 for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -559 + 5593\/10. Let w(d) be the first derivative of -1\/2*d**3 - t*d**5 + 0*d + 7 + 0*d**2 + 3\/4*d**4. Solve w(u) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(4 + -1*sqrt(475) - sqrt(475) - (5 + (0 + sqrt(475))**2) - (2 + ((1 + sqrt(475))*3 - sqrt(475)) + -2)).\nAnswer: 40*sqrt(19) + 958","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 34189 from -15151647.\nAnswer: -15185836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -49, -114, -231, -424, -717, -1134, -1699, -2436?\n\"Answer: -4*m**3 - 2*m**2 - 31*m - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) be the second derivative of k**3\/6 + 3*k**2\/2 - k. Let n(s) = 4*s**2 + 48*s - 106. Let w be n(2). Let f(t) = -3*t - 8. Give w*f(y) + 17*a(y).\nAnswer: -y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((1\/1)\/(9\/3))\/(55\/(-198)*1).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48*n + 45*n = 0. Suppose -4*l + n*l - 65 = -p, -68 = -p + 3*l. Suppose 6*u = -u + p. What is the remainder when 41 is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 677 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k**4\/k)\/k)\/k*k*((k\/(k**(-1)\/k)*k)\/k)\/k)\/((k\/k**(2\/9))\/k**(-6))*((k*k**(2\/33))\/k**(-8))**(12\/5) assuming k is positive.\nAnswer: k**(9389\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (4 - 2)*(5 + (-21)\/6). Let f(c) = 4*c**2 + 75*c - 74*c - 2*c**2 - k*c**2. Let h(t) = 3*t**3 - 2*t**2 + 2*t. What is 2*f(g) - h(g)?\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 617.6, 10, -5, 22 in ascending order.\nAnswer: -5, 10, 22, 617.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 49139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (4 - (13 - -10 - 9) - -9) + -73 + -13\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xhn when three letters picked without replacement from {h: 2, n: 5, x: 6}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -46*i + 48*i + l = 6, l - 10 = -3*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.5 - 4.5. Let i(f) = -f**3 - 2*f**2 + 32*f + 15. Let m be i(5). Let w = 3.4 - 2.4. Which is the nearest to w?  (a) m  (b) -4\/9  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 283.0913 litres?\nAnswer: 283091.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.2 - 0.8. Let u = -320.9877 + -0.0123. Let y = 321 + u. Which is the closest to y?  (a) -5  (b) -0.1  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*w + m - 1, 0 = -3*w - 8*m + 5*m - 6. What are the prime factors of (-3)\/(6\/(-102)*w)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t - 20 = -5*t + 4*u, u = 5*t - 5. Let o = -1566 - -1574. Solve a - y = -t*y - 1, -o = -2*a - 3*y for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 3*h = 8*h - 184, -276 = -3*y - h. Does 8 divide (y\/(-8))\/(1\/(-2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -1375*b**3 - 10*b**2 - 20*b - 13. Let z be h(-5). Suppose 0 = -56*i + z + 189096. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -q**3 + 8*q**2 - q + 11. Let y be 3 + (-1)\/3*-15. Let d be c(y). Solve -d*z - 3*o = -7*z + 19, -z = o - 3 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 55 + 77 = -95*p + 37. Suppose -t - 16 = -2*t. Sort t, -9, p, -4.\nAnswer: -9, -4, p, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4213 - 722. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3735)\/(-234) - 352\/22?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -112.605 + 117.5. Let f = 0.105 + j. Sort 40, f, 0.1, -3.\nAnswer: -3, 0.1, f, 40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 784261?\nAnswer: 17, 46133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 135 - 143. Let q(i) = 24*i**2 + 47*i + 27. What is the units digit of q(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 112 (base 3) to base 15.\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 66 + -40. Let x = s - -10. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 48 and 97452381?\nAnswer: 1559238096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -87*f**3 + f**2 - 1. Let p(y) = -y**3 - y**2 + 2*y + 1. Let z be p(-2). Let m be u(z). Calculate the common denominator of 67\/10 and m\/10 + 1 + -2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2805253 greater than 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-1)\/8 - (-99)\/24) + -8. Sort v, 4, -5, 2, -1.\nAnswer: -5, v, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 1 p when two letters picked without replacement from vvvvvpvvvvvvlv.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2 and 159735.\nAnswer: 319470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -79\/40704 and 29\/386688?\nAnswer: 773376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -5*v + 17. Let f(r) = r - 1. Let l(g) = -2*f(g) - w(g). Let c be l(9). Suppose 4*o - o = c. Solve z = -o*s + 3, 4*z + 5 = -4*s + 5*s for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 7 + 5. Which is greater: u or 11?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 745*c**3 - 1364*c**3 + 614*c**3.\nAnswer: -5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 80\/48 - (1 + (-1)\/3). Solve -5*z = 2*c - 15, 0 = -5*z + 4 + j for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 8516*k**2 + 8517*k**2 - 17031*k**2. Let t(u) = 6*u**2 - 4*u**2 - 4*u**2. What is t(h(j))?\nAnswer: -8*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put together 10.0687 and -36.\nAnswer: -25.9313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -73\/1115240 and 115\/40371688.\nAnswer: 201858440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -779*r - 2101. What is the lowest common multiple of 414 and q(-5)?\nAnswer: 5382","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -18*g**3*x**2 - 24958*g**3*x - g**3 - 6*g**2 - 8925777*g*x**3 - 2*g*x + x**3 + 10 wrt x?\nAnswer: -36*g**3 - 53554662*g*x + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find i, given that -3*i**2\/7 - 3468*i\/7 - 1002252\/7 = 0.\nAnswer: -578","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -8744 - 2?\nAnswer: -8746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16004752 is divided by 82.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2\/127 - -115\/762. Sort -3\/8, o, -2, -5 in decreasing order.\nAnswer: o, -3\/8, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 29, 4, -5, 5, 1 in ascending order.\nAnswer: -5, 1, 4, 5, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 68191 and 7733.\nAnswer: 703","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 + 4 = -4*m. Calculate the common denominator of 3 + m\/33 + -1 and 37\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7058 + 7058 + 246*a)*(0*a + 2*a + a + (0*a + 2*a + a)*(-1 - 1 + 3)).\nAnswer: 1476*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2\/4 + (-359)\/(-3590). Factor 6\/5*l + a*l**2 - 9\/5.\nAnswer: 3*(l - 1)*(l + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/(-18)*2*-1*-3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t - 2*p = 356, -8*t + 5*t - p - 266 = 0. Let j = 99 + t. Calculate the greatest common factor of j and 451.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/4 of a tonne in kilograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 54 or -849?\nAnswer: -849","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*s**3 + 5*s**2 + s**3 - 1 + 4*s**4 - s + 11*s - 7*s - 3*s**4 to y*s**4 + o*s + h*s**2 + u + j*s**3 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 times 91\nAnswer: 9.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-10)\/(-20))\/((-1)\/(-12)). Let g(z) = z**2 - 3*z. Let o be g(d). Find the first derivative of 6*v**2 - 7 - 33*v**2 + o + 16 wrt v.\nAnswer: -54*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.00289 + -46.81711. Round c to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34*w + 20 = -116. Let o be w\/(-3)*(-300)\/(-80). Solve o*i = 4*v - 21, -2*v = i + 2 + 5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 588 and 81242.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2923598?\nAnswer: 2, 109, 13411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 46171321 is divided by 2565073.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: ((40\/15)\/4)\/((-12)\/(288\/56))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 7*m**2 + m - 8. List the prime factors of s(-4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -18 - -28. Let f = l + -10.1. Put 0.7, f, -2 in ascending order.\nAnswer: -2, f, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of ((-3)\/(-5))\/((-22)\/(-537460))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -10*g - g**3 - 413 - 12*g**3 - 4*g**3 + 411. Is h(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -2*m + 11. Let b(u) = -u**3 - 15*u**2 + 2*u + 17. Let o be b(-15). Let z be t(o). Solve -5*n - 5 + 0 = 4*q, 0 = -5*q + 4*n - z for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3224 (base 6) to base 2\nAnswer: -1011100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = m**3 - 2*m**2. Let o(h) = -5*h**3 + 22*h**2 - 15*h. Let c(b) = o(b) + 2*u(b). Solve c(i) = 0.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 8313 + -8312.75764. What is c rounded to 2 dps?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 79 - 142. Let c = d + 215. Let f be c\/36 + (-6)\/27. Sort 0, f, -4 in ascending order.\nAnswer: -4, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 90\/(((-20)\/48*3)\/(2275\/(-210))) and 455.\nAnswer: 5460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-56)\/(-90) - (-4)\/(-10). Let g = -115\/291 + 6\/97. Which is the nearest to 1\/2?  (a) 0.5  (b) q  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (65\/(-39))\/(190\/96 - 2). Let n be 12*(-5)\/(k\/(-72)). Calculate the highest common factor of n and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -2010*h + 28. Let z be f(-2). Suppose -4*s + 4018 = -2*p, -4*p = -6*s + 10*s - z. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -11*n**2 - 5*n + 5. Let c(g) be the first derivative of 9*g**3 + 6*g**2 - 12*g - 384. What is -5*c(i) - 12*k(i)?\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 5*d**2 - 4*d + 3. Let z be -7 - (2 + 0\/(-1)). Let s = -9 - z. Let j(n) = n**2 - 2*n + 2. Let p be j(s). What is m(p)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s - 17930 = 5*j, -65*j = -5*s - 64*j + 17938. Does 78 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -789 - -788. Which is the closest to 0?  (a) 2  (b) k  (c) 2\/7  (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 3 = -3*i, -3*i - 1 = i - 5*m. Let q be (11 - -1)*i\/(-6). Let v be (q\/(-48))\/(3\/(-4)). Which is the nearest to -1\/5?  (a) v  (b) 5  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -49, 1, -886, 555, -5 in decreasing order.\nAnswer: 555, 1, -5, -49, -886","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -101010111111011 (base 2) to base 5.\nAnswer: -1201021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 34 + -36. Let j = -2.4 - i. Let t = -22 + 28. What is the second smallest value in t, 1, j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 10) in base 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.5029*5.\nAnswer: -2.5145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 26749250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 15\/2 and 11\/79689704?\nAnswer: 79689704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*o + 5*o + 4*o)*(3 + 3*o - 3).\nAnswer: 21*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*s**3 + 13953152*s**2 + 12168167124084*s + 24336278435592.\nAnswer: 4*(s + 2)*(s + 1744143)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-42*m - 44*m + 12*m + (3 - 2 + 0)*(m - 2 + 2))*(-38 + 45 - 218).\nAnswer: 15403*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out -25.94 + -15384.\nAnswer: -15409.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*l - l + 0*l)*(-3 + 3 + 5) - 4*l + 4*l + 2*l + 57*l + 31*l - 10*l + 0*l to g*l + i and give g.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 23635*i - 3852496. What is m(163)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (1316\/(-47))\/(-392)*7\/6?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 272\/(-34)*((-14)\/(-12))\/(-7).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -5 - -8. Suppose -4*s - 74 = v, -m*s + 6 = 9. Let u = -10 - v. What is the highest common divisor of u and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 494 + -467. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1922096841 a multiple of 501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - 21600005 = -3*u, 3801226 = 2*u + j - 10598769. Let d be 1*(-1 + 1) + u. What is d rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = v**3 + 17*v**2 - 3*v - 20. Let y be g(-17). Suppose -4*j = -9*j + 3*s + 41, -5*s = -3*j + y. Is j a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 155551052 (base 6) in base 13?\nAnswer: 9076bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*c + 186 = 36. Let n = c - -37. Suppose -625 = -n*x + 35. Put -3, -1, x in increasing order.\nAnswer: -3, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 36 divided by -310843.\nAnswer: -36\/310843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 3\/5 + (-107)\/(-5). Calculate the greatest common factor of 33 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (1 + -2)\/((-196)\/96 - -2). Suppose 5*x - g = 48, -5*x = -x + 4*g - h. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/9)\/((-14)\/(-21))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -7653\/10465 - 12\/299. What is the common denominator of 21\/2255 and i?\nAnswer: 15785","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(6)\/sqrt(3) + -2)*-4)**2 - (-2 + (3 + sqrt(512))**2).\nAnswer: -1120*sqrt(2) + 1017","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 4\/5  (b) -6  (c) -4  (d) 0.033\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = b**2 + 29*b - 1880. Let g be m(-60). Is -227 at least as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 20625819?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((8\/(-24))\/(5\/(-210)))\/((-25)\/(-25)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*i**2 - 3*i**2 - 2*i**2)*(-1 - 3 + 6).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2\/13 - 12\/91. Let m = -11.326 + 12.326. What is the closest to -2\/19 in m, a, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40*m - 13 = -41*m. Suppose m + 23 = p. What is the remainder when 70 is divided by p?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b = 5*y - 29, -23 = -2*b + b - 5*y. Suppose 0*k - 254 = -2*l - b*k, 3*k = -12. What are the prime factors of l?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -10 - -8. Let m(r) = -38*r - 31. Let i be m(6). Let f = -260 - i. Sort 1, f, p in increasing order.\nAnswer: p, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 18*m - 450 = 0. Calculate the least common multiple of 36 and m.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-seven halves of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -g**2 + g. Let t(v) = 13*v**2 - 2*v. Let s(z) = -2*a(z) - t(z). Let y(x) = x. Determine s(y(m)).\nAnswer: -11*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/((d*d**4)\/d)*d*((d*d\/(d\/d**(9\/5)*d*d)*d*d)\/d*d)\/d*((d*d\/d**1)\/d)\/d**(-1\/11))**(-1\/15) assuming d is positive.\nAnswer: d**(2\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 7*g**2 - g + 3. Let a be o(-2). Let p = a + -8. Let c be 5\/(-9)*-15*21. What is the greatest common divisor of c and p?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 718207*n = 718350*n + 858 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 229.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-5)\/6)\/(((-98)\/(-14))\/(-14)).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -r = -22, 3007352 - 3007043 = h + 14*r for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2210 is divided by 364.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3.2 - 0. Let t = -0.2 + w. Which is the nearest to 0.1?  (a) -3\/2  (b) t  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-3\/5))**(-5\/6) assuming q is positive.\nAnswer: sqrt(q)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 15 = -l. Suppose l*i - 68 = 47. What are the prime factors of i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 139*j + 692 = 2650 + 1378 for j.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) be the third derivative of -g**8\/6720 - g**7\/504 + g**6\/360 + g**5\/20 - 3*g**4\/4 - 20*g**2. Let f(d) be the second derivative of h(d). What is f(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2 and -53958.\nAnswer: 107916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a meter in centimeters?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-2)\/10)\/((-2)\/25). Let q = 13 - 18. Let m be (15\/(-4))\/q*(4 + -2). What is the smallest value in x, m, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h - 223 = -2*s - 4*h, 3*s + 2*h - 352 = 0. Suppose -13*o + s = -10*o. What is the greatest common divisor of o and 76?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2005*p**2*s*w + 2*p**2*s + 30*p*s**3 + 2115*p*s**2 + 35*s**3*w wrt w?\nAnswer: 2005*p**2*s + 35*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 62*w**2 - 73620*w. Let f(n) = -2*n. What is f(r(u))?\nAnswer: -124*u**2 + 147240*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 1365633 rounded to the nearest 100000?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*h + 3*r = -18*h, -r - 11 = 5*h. Put -5, 6, 7, h, 13 in ascending order.\nAnswer: -5, h, 6, 7, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.015, 4\/7, 561236, 1 in descending order.\nAnswer: 561236, 1, 4\/7, -0.015","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 1 o when two letters picked without replacement from oogjtbtggt?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 184 and 131628494?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -152*11\/4818 - -3*(-4)\/(-36). Let f = 0.2 + -0.2. Is f less than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2\/5  (b) 7  (c) 1\/6277  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -51.62696 rounded to 2 decimal places?\nAnswer: -51.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 155396 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -191*o**2 - 533*o**2 - 480*o**2 + 4 - 1 - 3*o - 378*o**2 + o**3.\nAnswer: o**3 - 1582*o**2 - 3*o + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*h = -3*a + 15, -4*a = a - h + 3 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a milligram in nanograms?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t - 22673 = -9*t - 3*o, 3*t + 2*o = 17005. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 8 + -7.8. Sort 3, -4, s in descending order.\nAnswer: 3, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5 * 630.4.\nAnswer: -3152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -111101101000 - 110111100100?\nAnswer: -1110101001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-72)\/(-6) - (0 - -1). Let k = t + 25. Find the common denominator of -79\/98 and (-14)\/k*(-975)\/(-105).\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) be the first derivative of g**6\/160 + g**5\/80 + g**2\/2 + 3. Let k(b) be the second derivative of j(b). Factor k(y).\nAnswer: 3*y**2*(y + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -k**3 - 48341*k**2 - 51568*k?\nAnswer: -6*k - 96682","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 526 minutes before 4:08 PM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 85500000 to the nearest 1000000.\nAnswer: 86000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -48 + 49. Let y be 28\/(-42)*(r - 82). Let l be y\/(1 + -7) + -1 + 3. Let k(v) = -v**3 - 7*v**2 + v + 6. Determine k(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tj when two letters picked without replacement from tuuuuijiu?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 16  (b) -4  (c) -0.5  (d) 62  (e) 0.1  (f) -1\/19  (g) 2\/3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -63, -98, -105, -84, -35?\n\"Answer: 14*y**2 - 77*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -l**3 - 3*l**2 - 2*l - 2. Let i be u(-3). Factor f**2 + 7*f**3 - 2*f**4 + 3*f**3 + 11*f**2 + 4*f**i - 16 - 8*f.\nAnswer: 2*(f - 1)*(f + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g - 25 = 2*g. Let m be ((-4)\/(-4))\/(3\/6). Let c = 8 + -11. Sort c, m, g in increasing order.\nAnswer: g, c, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*c**2 - 201*c - 198 = 0. Calculate c.\nAnswer: -66, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1296) + sqrt(1296)*-4)\/(sqrt(384)\/sqrt(8)).\nAnswer: -9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000003726813675 rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) be the first derivative of 4*g**5\/5 - g**4\/4 - 75*g - 50. Find the first derivative of a(x) wrt x.\nAnswer: 16*x**3 - 3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -12 + 22012?\nAnswer: 22000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 288110.\nAnswer: 2, 5, 47, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -3*h**2 - 12*h - 7. Let y(f) = f**2 + 6*f + 4. Let l(q) = 2*i(q) + 5*y(q). Does 5 divide l(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -2, -155.\nAnswer: -155, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = b**2 + 6*b - 2. Let w be l(-14). What is the first derivative of -w*i**2 + 177*i - 90*i - 147 - 87*i wrt i?\nAnswer: -220*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -7.331 - -0.331. What is the biggest value in -2, -4\/3, -1, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11324?\nAnswer: 2, 19, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 56 is divided by (-9)\/27*(-87 - 0).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1586 is divided by 393.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-2\/5)*x**7)**(2\/7) assuming x is positive.\nAnswer: x**(66\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 168 - 164. Let p = -17.4 + 17. Which is the closest to 2?  (a) p  (b) -2  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 121 + 173 - 294 - 230*b**2. Let l(q) = -q. Determine x(l(p)).\nAnswer: -230*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 382 - 699\/2. What is the common denominator of d and 0 - 0 - (-138)\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) be the third derivative of 0*f + 0 - 1\/6*f**4 + 2*f**2 - 1\/3*f**3. What is the derivative of d(h) wrt h?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 445, 782, 1119, 1456?\nAnswer: 1793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(0 + sqrt(11))*4 + 1 - (-2 + (sqrt(1331) + 6*(1*sqrt(1331) + sqrt(1331) + sqrt(1331)))**2).\nAnswer: -480488 - 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = w**3 + 4*w**2 - 6*w - 3. Let a be p(-5). Suppose -a*r + 4*o + 23 = o, -5*r + 20 = 5*o. Calculate the least common multiple of 5 and r.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) be the first derivative of -6*j**3\/7 - 2145*j**2\/7 - 204*j - 1457. Factor s(g).\nAnswer: -6*(g + 238)*(3*g + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5.924651 days to microseconds.\nAnswer: 511889846400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(99)*-5 + 2.\nAnswer: -15*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f - f - 16 = 0. Let o(j) = j**2 + 4*j. Suppose 0*h + 5*h = 5. Let x(p) = -1. Let n(s) = h*o(s) + 3*x(s). Calculate n(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (9 - 6) + -3 + -7 + 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -8*i + 83. Calculate the remainder when 34 is divided by p(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 2*f + 548 = -4*n, -n = 2*f - 1087. Is 32 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -22 - -22.005. Let k = 20 - 20.325. Let v = k - s. Round v to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 562846 is divided by 2223.\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 59249169533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -7.1  (b) -612.18  (c) 3\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 - (2 - 1) - 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3810879362 to the nearest integer?\nAnswer: 1562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -114?  (a) -0.4  (b) 0.4  (c) -1  (d) 0.1  (e) -783\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1.11 and -374559.\nAnswer: -415760.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/4 in 5045, 2\/221, 2\/27, 0.1?\nAnswer: 2\/221","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 176 and 1232.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express 136*b**3 + 1 + 352*b**4 - 2*b - 64*b**3 - 71*b**3 + 198*b**4 + b**2 in the form n*b**3 + p*b**2 + a*b**4 + d*b + i and give a.\nAnswer: 550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:07 PM and 3:39 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ooioiyikioooymi. Give prob of sequence oy.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.015, -4, 46, 0.04, -14, 3, 1?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -n**2 + 7*n - 13. Calculate r(7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from bbbbbbbbjjjb?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -5*r + 50. Let i be s(9). Solve i = f - 6*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -79 - -81. Let b(l) be the first derivative of -3\/2*l**g + 3\/4*l**4 + 5\/2*l**3 - 3\/2*l**5 + 2 + 0*l. Solve b(w) = 0.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/(v\/(v*v\/(v*(v\/(v*v**(-2\/13))*v)\/v))*v))**(1\/16))**(-36) assuming v is positive.\nAnswer: v**(9\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) be the first derivative of 4\/7*l - 1\/7*l**2 + 2\/35*l**5 - 2\/7*l**3 + 1\/14*l**4 - 4. Suppose n(j) = 0. What is j?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + w = 6, -3*r + 3*w = -5*r - 15. Is 21 a factor of 324\/2 + (-18)\/r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -t + 9. Suppose 8 = 2*n - 2*j, -48 = n - 5*n - 4*j. Let m(z) = -2*z + 13. Let v(l) = n*q(l) - 5*m(l). Calculate v(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -134 = -2*u - 5*a - 138, -4*a - 6 = 3*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -32 + (-1 + 77 - (-1222 - -1202))\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 16643 (base 7) to base 14\nAnswer: 1a5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 84084?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 1 r when two letters picked without replacement from {r: 6, h: 1, v: 2, a: 3}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -247*r + 226*r + 10458 = 0. Does 6 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -16 - -18. Let c = 1 + 0. Let a be (5 - c)*(-3)\/(-6). Solve 0 = a*j + q*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-68)\/18 - 8\/36. Let k be 2894 + (8 - (d - -6)). What is k rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 + 16 + (0 - 4) - 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -13 - -41 - 67 - -31\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/495 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -187 + 203. Suppose 8*m = w*m - 98984. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -13 + 114 - (-507 - -505)*(-2)\/4.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = h**2 - 4*h - 43. Let j be p(0). Let k = j + 52. Calculate the least common multiple of k and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**3\/q*q**(2\/5))\/((q\/q**1)\/q**1))**(9\/7) assuming q is positive.\nAnswer: q**(153\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 184335?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 74*r = 112*r + 114 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1577*x - 2095*x - 30848 = 2147*x - 140113 for x.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -18907, -18897, -18889, -18883, -18879, -18877?\n\"Answer: -k**2 + 13*k - 18919","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in 4, 10, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) be the first derivative of 5*u**2\/2 - 3*u - 4. Differentiate r(m) with respect to m.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ec when two letters picked without replacement from cwwcccceeevwcccecvrw.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -235*o**3 - 4*o**2 - 7428 wrt o?\nAnswer: -705*o**2 - 8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -12272*p**2 + 66*p - 17. Let y(h) = -4091*h**2 + 24*h - 6. Give -4*s(l) + 11*y(l).\nAnswer: 4087*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -0.01, 19, 4, -17 in descending order.\nAnswer: 19, 4, 3, -0.01, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 203354, 406545, 609738, 812933, 1016130, 1219329, 1422530?\nAnswer: 1625733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s\/(s*s*s*s**(12\/11)*s)*s**(-24)*s*s**(-32)\/(s*s\/s**(9\/2)) assuming s is positive.\nAnswer: s**(-1245\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5, -4, -3, -2, -1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6 + 59*p**2 - 8 + 13*p**3 + 15.\nAnswer: 13*p**3 + 59*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 20212201201122 + 1?\nAnswer: 20212201201200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 109830868?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 4041 (base 10) to base 9\nAnswer: 5480","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 7267.19 to the nearest ten.\nAnswer: 7270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 122112 + 1000022?\nAnswer: 1122211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = -2*q + 1510 - 100, 3*q - 4*d - 2115 = 0. Does 9 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 201 - 1210022?\nAnswer: -1202121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in s**2 + 4203*s**3 - 2065*s**3 - 2071*s**3 - s**2.\nAnswer: 67*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -2*t**3 + 2*t**2 - 2*t + 1. Let b be o(1). Suppose 19 = 2*f - 53. Let j be 0 - (f\/(-14) + 3). Which is smaller: j or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 518641 is divided by 25932.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*m + 24 = 88. Suppose m*o - 100316 = -33676. Round o to the nearest one thousand.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/4 in -40, -2, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/8 of a day in hours?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -26591 >= -3749236\/141?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.234 rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 53 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -j**3 - 2*j**2 + 2*j + 4. Let w be y(-2). Suppose 0 = -s - 5*p + 137, w*s + p = -s + 145. Does 17 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 12103 to the nearest 100.\nAnswer: 12100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -53*m = -75*m - 2825790. Is (-1 - 14)*4*m\/300 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-4\/5)\/w*w*(w\/(w**3\/w))\/w*w)**5\/((w**0)**(-35)\/(w**(-1)\/(w*w*w**(-2)))) assuming w is positive.\nAnswer: w**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1.75 - -1.35. Let p = 0.04 - -2.96. Sort p, 0.3, t in increasing order.\nAnswer: t, 0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*k + 585 = 156. What is the first derivative of -38 - k + 32*n**3 - 10 wrt n?\nAnswer: 96*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j - s = -31, -4*s = 3*j - 0*s - 5. Suppose 2*b = j*b - 10. Let c = -11 + 6. Sort b, c, -4 in descending order.\nAnswer: b, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1 + 2. Let z(l) = 2*l**2 - 8*l + 17. Let m be z(2). Suppose -m*p + 8*p + 24 = 2*r, p - 34 = 3*r. Solve -5*d = j - p for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -11 + 38. What is the highest common divisor of m and 216?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31047 = -1812*j + 105339 for j.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 19\/88518320 and -65\/15490706.\nAnswer: 619628240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b**8*b)\/b*b*b**8)\/(b*b*b*(((b**1\/b)\/b)\/b)\/b)**(-7))\/(((b\/(b*b**(1\/3)))\/b*b)**(-2\/43)*((b\/b**(-6))\/b)\/(b\/b**(-1))) assuming b is positive.\nAnswer: b**(1675\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/10 + 72\/1560 + 13 + (-1992)\/234\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 8475537 or 8475540?\nAnswer: 8475537","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 19500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 40 = -6*t. Let q = 70 + t. Let r(k) = 3*k + 1. What is the remainder when q is divided by r(5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 203 and 133.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 66 - -776?\nAnswer: 831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 600265921 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*f**3 - 111*f**3 - 120*f**2 + 120*f**2.\nAnswer: -97*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = 3*x - 23. Let r(p) = 9094*p. What is o(r(i))?\nAnswer: 27282*i - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 135.56 to the nearest ten.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0113087113 to six dps.\nAnswer: -0.011309","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21*x**3 - 305 + 26*x**3 - 7*x**3 + 1433.\nAnswer: -2*x**3 + 1128","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:12 AM and 6:55 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 0.9 * -22\nAnswer: -19.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 130 a factor of 7814949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -89*j**3*m + 24653*j**3 - 7*j**2*m + 3*j**2 - 3*j*m - 2173*j wrt j.\nAnswer: -534*m + 147918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 65\/31288 and -115\/18?\nAnswer: 281592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -2*a**3 - 4*a**2 - a + 6. What is the units digit of g(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*2*2*sqrt(136) + 4*2*sqrt(136) + -5*(sqrt(136) + 1*sqrt(136)))\/((5*sqrt(72)*3)\/(sqrt(45)\/sqrt(5)*2 - sqrt(9))))**2.\nAnswer: 8228\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1322, 1310, 1296, 1286, 1286, 1302, 1340, 1406?\nAnswer: 1506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -27 + 12 - 22*q**3 + 19*q**3 + 15.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 358396?\nAnswer: 2, 89599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 21 + 19. Calculate the remainder when h is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = r**2 - 12*r + 5. Calculate m(8).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (-2*1)\/(8\/32)*(-7)\/28\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 2*x**3 + 2*x**2 - 1. Let g be m(1). Factor -3*n**g + 5*n**3 - n - n.\nAnswer: 2*n*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -8 - -12. Suppose 2*q - 18 = -3*n, n - 6*n + 8 = -p*q. Suppose q*o - 125 = -2*o. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 692*n**4 - 375939*n**3 + 375939*n**3 + (2*n - 2*n + n)*(n**3 + 2*n**2 - 2*n**2) as s*n**3 + t*n + b*n**2 + c*n**4 + l and give c.\nAnswer: 693","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -h**3 - h**2 + h + 2. Let l be t(-2). Find the third derivative of j**4 - j**2 + 8*j**4 - 5*j**l - 2*j**2 wrt j.\nAnswer: 96*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n = -2*w + 8, -n - 4*w = -w - 8. Let m be 6\/4*(-24)\/(-9). Suppose -r - n = -5*r + m*i, 3*r = -3*i. Solve 0 = 2*y + 1 + r for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (11 + -10)\/(1\/4). Suppose 0*z + 3*z - 12 = 0. Solve 5*w = w + z*v + 8, -5*w - b*v + 1 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -60 - -186. Suppose -i - l = -8*i. Suppose 4*z + z - 170 = 0. What is the remainder when z is divided by i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3027980 rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or 7799\/5868?\nAnswer: 7799\/5868","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -9*w - 14. Let f(h) = -11*h - 15. Let d(b) = -5*f(b) + 6*n(b). Let m be d(-21). Let y = 30 + m. Solve -3*k + k = y for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9a73 (base 12) in base 9?\nAnswer: -25376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3e6 (base 15) to base 12.\nAnswer: 623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*t**2\/4 + 3074005*t\/4 - 15370275\/2 = 0. What is t?\nAnswer: -614811, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 51803 to the power of 1\/2, to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -4.53767195 to one dp.\nAnswer: -4.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is p in -36*p**3\/7 - 7076*p**2\/7 + 17736*p\/7 + 6368 = 0?\nAnswer: -199, -14\/9, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 58 minutes before 10:20 AM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4*(-5)\/(-90)*15\/(-10).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 10528833\/19 - 554447. Let n = 298 + w. What is the second smallest value in n, 1.2, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1 + -109b262?\nAnswer: -109b261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10926?\nAnswer: 2, 3, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h = 3*s - 20, -4*s - 2*h + 46 = 24. Suppose 1514 = 2*d + s*f - 338, 2*d - f = 1840. Is d a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -185*r - 448 = -186*r - 5*b, 3*b - 868 = -2*r. What is the remainder when r is divided by 146?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -141, 12, -37, -3, -307, 4, -4 in decreasing order.\nAnswer: 12, 4, -3, -4, -37, -141, -307","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 divided by -15790880?\nAnswer: -1\/3947720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -22*l**2 + 5. Let v(s) be the second derivative of -10*s**3\/3 - s - 551. What is w(v(k))?\nAnswer: -8800*k**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*k**3 - 82176*k**2 - 82164*k + 164344.\nAnswer: -4*(k - 1)*(k + 2)*(k + 20543)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = 15*m**3 + m**2 - 3*m + 5. Let i(r) = 23*r**3 + 2*r**2 - 5*r + 8. Give 5*i(p) - 8*u(p).\nAnswer: -5*p**3 + 2*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (10879\/(-86))\/(50\/(-24) + 2). Calculate the greatest common divisor of 46 and a.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1601 by 4563.\nAnswer: 1601\/4563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(4\/7)\/(u*u\/(u*u**(2\/7))*u*u*u))**43\/(u*u*u*u\/(u**(-3)\/u)*u**(-4\/5)*(u*u**(2\/5)*u)**30) assuming u is positive.\nAnswer: u**(-7502\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Product of 10 and -8.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -62, -419, -1396, -3305, -6458?\n\"Answer: -52*d**3 + 2*d**2 + d - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 313132 - -11?\nAnswer: 313143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 20487 and 18?\nAnswer: 122922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 1060*o**5 + 10*o - 294. Let x(y) = -1063*y**5 - 8*y + 294. Let a(z) = -2*m(z) - 3*x(z). What is the second derivative of a(d) wrt d?\nAnswer: 21380*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 3, g: 4, b: 4}. What is prob of picking 2 g and 1 r?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -506575.52 rounded to the nearest 100?\nAnswer: -506600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.25 in -0.4, -4, -0.2, -0.1, -1\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -317 + 517. Let f = 49242033800.00000107 - 49242034000. Let l = f + i. What is l rounded to seven dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) be the third derivative of -h**5\/10 - h**4\/12 + h**3\/3 - 4*h**2. Let k be m(-2). Let q = -12 - k. Solve q*o + r = 2*o + 11, 3*o - 17 = r for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 174078?\nAnswer: 2, 3, 19, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0622425781 rounded to five dps?\nAnswer: 0.06224","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -5, 1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 10 + 3 - (-1 + -1 - (-183 - -173))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10010011110 - 1100001000011?\nAnswer: -1110011100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 7*f**3 + f**2 - 2*f + 1. Determine v(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0133919 to three decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = f**3 - 6*f**2 + 12*f - 39. Let g be m(5). Which is the nearest to 1\/3?  (a) g  (b) -16  (c) 0.1  (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t**4\/7 + 232*t**3\/7 - 1284*t**2\/7 - 216*t = 0. Calculate t.\nAnswer: -63, -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 10 (base 2) to base 5\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 184 - 174. Suppose -2*s - 3*o + 19 = 0, -2*s = o + 1 - d. Solve 0 = i + 2*b - 9, 3*b = s*b + 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (56\/12 - 3) + (-3)\/1.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -i**2 - 2*i + 3. Let g(r) = r**2 - 4*r - 11. Let a be g(6). Suppose -4*x + 5*t = 41, t + a - 6 = 0. Give d(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -22925\/2 + 11460. What is the closest to m in -0.19, 5, 1\/4?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 336806 is divided by 552.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -v**3 + 51*v**2 + 309*v - 4861. Give k(55).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m + 2 = -4*o, 0 = 3*m + 4*o - 9*o - 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1048?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h = -5*b + 750, 7 = 4*h + 27. Let i = -46 + b. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -n**2 + n + 130. Suppose 0*q = -2*q. Let r be w(q). Suppose -15 = 5*x - r. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -i**2 - 236*i + 4039. Give p(16).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 0\/((-2)\/(-2 - -4)). Let v(w) be the second derivative of 0 + 195*w - 1\/6*w**3 - 5\/2*w**2. Calculate v(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5 - -1. Let c be 1 - (2 + r - -2). Suppose 0 = -7*x + 3*x + 4*q + 32, -x - q = 2. Solve c = -4*o + 2*j - x, -5*o - 3*j = 16 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 157910897 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -4*c - 9. Suppose 2*m - 9 = -3. Suppose -6*a + 150 = -m*a. Suppose -5*v + v = 5*j + 5, 5*v - a = 5*j. Let w(i) = -2*i - 4. Calculate v*w(o) - 2*t(o).\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 30438 is divided by 6081?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 - 2 + i**3 + i**3 - 2*i**2 + 2*i**2 + (-5*i**2 + 9 - 9)*(3*i + 2*i - 2*i) + i**3 - 2 + 2 + (-1 + 0 + 3)*(0*i**3 + i**3 + i**3) - 3*i + 3*i - 3*i**3.\nAnswer: -11*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 129262524 divided by 6.\nAnswer: 21543754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 55 = 2*u - 0*u, -a = -5*u - 103. Is u smaller than -21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 53 divide 122320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide 8418 by -1.\nAnswer: -8418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 631\/116 - 136\/29. What is the third biggest value in m, 4.4, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 389457956 to the power of 1\/2, to the nearest integer?\nAnswer: 19735","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -60*r - 70*r + r**3 + 8*r**2 + 3 + 138*r. Calculate p(-6).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(170)*-5)\/(sqrt(80)\/(sqrt(56)\/sqrt(7))) - (-4 + sqrt(204)\/((sqrt(108) + 1*sqrt(108) - sqrt(108))\/sqrt(9))*5)**2.\nAnswer: -441 + 55*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.06421 - 2908.06421. Let t = o - -5325. Let z = t - 2416.99998997. Round z to six dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -82475025 divided by -3?\nAnswer: 27491675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -7544?  (a) -3  (b) 5  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 5\/8 of a milligram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 17*p**3 + 21*p**3 - 34*p**3 + (1 - 1 + 3*p**2)*(5*p - 2*p + 0*p).\nAnswer: 13*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 1102450 rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 594 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = y**3 - y**2 - 10*y + 2. Let z(x) = 2*x**3 - x**2 - 10*x + 3. Suppose 0 = 5*d + 2*m + 25, -5*d + 4*m = 5*m + 20. Determine d*r(j) + 2*z(j).\nAnswer: j**3 + j**2 + 10*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42*t = -54*t + 36 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33*o = -163*o - 163*o. Suppose 5*g - 5 = -4*r, 0 = -0*r + r + 3*g + 4. Solve r*n - 1 = j - 0*j, o = 3*n for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/(-20))\/(19\/114).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-r + 3*r + 4*r)*(-1 + 6 - 2)*(2 - 3 + 0).\nAnswer: -18*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from yyyyyyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of c**6 - 1328 - 236*c**2 - 238*c**2 - 229*c**2 + 272*c**3 + 702*c**2 - c wrt c?\nAnswer: 120*c**3 + 1632","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 15 - 13. Solve -p = -g - 3*f, 3*g + 0*g + 1 = -2*f for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 3*c**3 + 2*c**2 + 2*c. Let t(d) = -d**3 + d**2 + d. Determine -m(f) + 2*t(f).\nAnswer: -5*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b = -2*v + 2*b + 7, -2*b = v - 8. Suppose -5*d = -3*j - 0*d + 265, -4 = v*d. Suppose j = 5*r - 140. What are the prime factors of r?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(1\/5))**50*(k*k**1*k)\/(((k\/(k\/k**8)*k*k*k*k)\/k*k)\/k) assuming k is positive.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -20123 - -29896. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -7 + 13. Let w = -7 + n. Let a = -224 + 224. Sort 2, a, w, 3 in decreasing order.\nAnswer: 3, 2, a, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 3*(-3)\/(-36)*(14 - 15). Which is the third smallest value?  (a) 3  (b) f  (c) 0.2  (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -385460*b**6 + 2*b**5 + 206623*b**2 wrt b.\nAnswer: -46255200*b**3 + 120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29465 = -1842*a + 12887 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve u - 27 = -5*k, -5*k + 32 = 5*u - 3 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 20 + -10. Let h(w) = w**3 - 55*w**2 + 773*w - 346. Let k be h(28). What is the greatest common divisor of v and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101011001 + -1100101010010?\nAnswer: -1101010101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 52?  (a) -17  (b) -161  (c) -1\/2  (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 12369*p + 197447. Calculate s(-16).\nAnswer: -457","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 324 divided by 206.\nAnswer: 162\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 5\/3, 217205, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -28 (base 9) in base 6?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 53 + (3 - 0) - (13 - (0 + 12) - -6).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) 0.1  (b) 5  (c) -6589  (d) 0.3  (e) -1\/22\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**(2\/29)\/(i*i\/((i\/(i**(-7)\/i))\/i)*i*i)*i**(2\/39)\/((i*i**2*i)\/i) assuming i is positive.\nAnswer: i**(1267\/1131)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 1, h: 2, l: 1, c: 3, r: 3, y: 8}. What is prob of sequence ycy?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (50 - 74)\/480*30\/4?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -5*-0.087\nAnswer: 0.435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 4  (b) 320054  (c) 6  (d) 26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -24*s + 51. Let k(w) = -6*w + 13. Let y(j) = 15*k(j) - 4*q(j). Let x be y(6). Suppose 3*c - x - 57 = -3*a, 80 = 4*a - 4*c. Is 15 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 19769\/24681 + 33\/433. Calculate the common denominator of s and 23\/21.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*j**2 + 2626964990*j - 345047252934285005.\nAnswer: -5*(j - 262696499)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 2962774 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/(u**(-1\/2)\/u*u))\/u*u)**7\/(u**(-4)\/(u**8\/u)) assuming u is positive.\nAnswer: u**(43\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -n**2 + 6*n + 14. Let y(x) = -5*x**2 + 34*x + 68. Let l(o) = 11*h(o) - 2*y(o). What is l(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1 by 63.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -7 + -1. Let p = -1.3335 - -1.3335. What is the second smallest value in f, 5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y + 20*v - 410 = 15*v, -5*v = -y + 46. Calculate the highest common divisor of 6156 and y.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -t**3 + 18*t**2 - 54*t - 76. What is a(14)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 3321 - 142210301?\nAnswer: -142201430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 18\/(-20) - 7\/(-14). Let l be (-3)\/3 - 0\/1. Does c = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1149319 divided by -17.\nAnswer: 67607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*k**2 + 114220*k - 3309016.\nAnswer: -4*(k - 28526)*(k - 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 64 and 6112?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-91*u - 31*u - 62 - 103*u - 8*u)*(-4*u + 0*u + 6*u).\nAnswer: -466*u**2 - 124*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*c**4\/19 + 4246*c**3\/19 + 102672*c**2\/19 + 823424*c\/19 + 115712.\nAnswer: -2*(c - 2147)*(c + 8)**3\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -h. Let i(v) = 1988*v. Give o(i(c)).\nAnswer: -1988*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ffffffffffffwfwfwww. What is prob of sequence wfwf?\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -87e31 (base 15) in base 5?\nAnswer: -102304241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) be the third derivative of -u**7\/35 + u**6\/120 + u**5\/15 - 5*u**2 - u. Find the third derivative of k(n) wrt n.\nAnswer: -144*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 5*x**3. Suppose 2*b = -2*b - 36. Let z be (b\/(-3))\/(7\/77). Let a = z - 29. Let r(c) = -4*c**3. Determine a*r(j) + 3*w(j).\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5 - 381*y**2 - 9318*y**3 + 27948*y**3 - 9314*y**3 - 9*y**4 - 9317*y**3 + y - 3 to d + u*y**3 + l*y**4 + x*y + v*y**2 and give v.\nAnswer: -381","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2\/3, 10\/11, -8\/7?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 401 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l = -3*r - 8 - 6, 0 = 5*r - 3*l - 22. Suppose -r*z - 807 = -u, 3*z - 8*z + 1632 = 2*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 29475295 and 395?\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2685914666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Product of -10 and -11.2.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -269.288 + 269. Let i = 4.288 + z. What is the nearest to -2 in 1\/4, i, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -1990*l. Let r(y) be the third derivative of y**5\/60 - 517*y**2 - 3*y. What is m(r(x))?\nAnswer: -1990*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 265.748*5041.\nAnswer: 1339635.668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 5 in 4, -0.22, -0.42?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 2617526, 2\/11, -5\/4 in decreasing order.\nAnswer: 2617526, 2\/11, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -600 = -16*z - 14*z. What is the remainder when 94 is divided by z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 3359.792 and 1.\nAnswer: 3360.792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.2, 1, -0.5, -0.12 in descending order.\nAnswer: 1, -0.12, -0.2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 892922769?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + 52 + (2032 - 2107).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 32440 (base 5) in base 12?\nAnswer: 1371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.149943306 to three decimal places.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3 and (4 + 10)*(-2)\/(-4).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -191*y + 2409. Let b be i(12). Let k be (-6)\/(-8)*-2*(-52)\/6. Calculate the highest common factor of b and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 12, -366, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 139\/36 and (-20)\/336*(-115)\/25.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = -4 - 2. Sort p, -3, -2.\nAnswer: -3, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1911011651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 254 minutes before 8:08 AM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 11036\/9 - 1226. What is the nearest to -3 in 18, -3\/5, 1, p?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:05 AM and 1:35 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 221*q + 720 = 295*q + 2792 for q.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) be the third derivative of 0*b + 0*b**4 - 29\/60*b**5 + 13\/60*b**6 + 0*b**3 - 12*b**2 + 0. What is the third derivative of l(f) wrt f?\nAnswer: 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) 88  (b) -1  (c) 0.71\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1565560 or -1565578?\nAnswer: -1565578","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 4*v**2 - 2*v - 44. Let z be o(-3). Suppose 4*i + 20 = 0, 7 = 2*h + h - 2*i. Let k be 186 + 4*h\/z. Round k to the nearest ten.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1 - -7) + 10 + (-9 - -3). What is the closest to 2 in j, -0.1, -2\/11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 2*p. Let v(g) = 4*g + 1. What is -7*n(y) + 4*v(y)?\nAnswer: 2*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from axynm. Give prob of picking 1 y, 1 x, and 1 m.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = 5*f**3 - 5*f**2 + 3*f - 4. Let k(y) = y + 1. Let m be k(2). Is o(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -3*o + 36. Let k be c(12). Let q(u) = -4*u + 3. Let f(y) = -5*y + 4. Let a(z) = 5*f(z) - 6*q(z). Determine a(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*((sqrt(85) - sqrt(85)*-2*6)\/sqrt(5) + sqrt(51)\/sqrt(3)*3 + -1))**2.\nAnswer: -32*sqrt(17) + 4353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -3*d*g**3 + 97*d*g**2 + 1861*d - g wrt g?\nAnswer: -9*d*g**2 + 194*d*g - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 5, 4, 348 in increasing order.\nAnswer: -5, 4, 5, 348","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (160\/(-768))\/((-21)\/56*10)*-2\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 2*z - 1. Let f(h) = 83*h - 1. What is f(g) + r(g)?\nAnswer: 85*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32\/3*t + 8\/3*t**3 + 2*t**4 + 32\/3 - 32\/3*t**2 = 0. What is t?\nAnswer: -2, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -405231.1463 - 4827.8.\nAnswer: -410058.9463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m = 5*x + 516, 3*m - 463 = -2*x - 53. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 11.75 - 12. Let u = -0.177 - c. Round u to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10.1673 + 0.2?\nAnswer: -9.9673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -8*(418\/308)\/(120\/(-42))\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2264 - 6*a**2 + 2264 + 4*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 14781?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 654310 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 6 and (-205)\/2*(-14040)\/1950?\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 527 + -526. Let p(f) = -2*f - 10. Let y(h) = -1. Calculate s*p(j) - 12*y(j).\nAnswer: -2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) be the second derivative of -c**6\/30 + 13*c**5\/20 - 5*c**4\/2 - 2*c**3\/3 + 20*c**2 - 520*c. Factor n(l).\nAnswer: -(l - 10)*(l - 2)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -83516, -83685, -83958, -84329, -84792, -85341?\n\"Answer: j**3 - 58*j**2 - 2*j - 83457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*n - 72*n**3 + 126*n**4 + 72*n**3 - 4*n + (5*n**3 + 3*n**4 - 5*n**3)*(-5 + 5 + 4) in the form o*n + l*n**2 + h*n**3 + a*n**4 + b and give a.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b = -v - 13, 4 - 36 = -4*b + 4*v. Suppose -u - b*j = -4*u + 26, 2*j + 8 = 0. Solve 6 = 2*z - 2*m, -z = u*z + 4*m + 26 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-8)\/(-318))\/(80\/7680*128)\nAnswer: 1\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 29*s + 3. What is the tens digit of w(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = t**2 - 9*t - 27. Calculate the lowest common multiple of r(12) and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-5 - 7 + 3)*(q**4 - 2*q**4 + 0*q**4) to k + i*q**3 + d*q**2 + a*q + h*q**4 and give h.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -232 or -231?\nAnswer: -231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*2*sqrt(6336))\/(-2*(-1*sqrt(256) - sqrt(256)) + sqrt(256)).\nAnswer: 12*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) be the first derivative of -n**2\/2 + 11*n - 129. Suppose -2*v + 37 = 5*a, -3*a - v + 24 - 1 = 0. Determine r(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in seventeen halves of a centimeter?\nAnswer: 85000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) be the first derivative of -107 + 0*l**2 - 271\/3*l**3 + 0*l + 91\/2*l**4 + 1\/5*l**5. Find the third derivative of a(j) wrt j.\nAnswer: 24*j + 1092","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:33 AM and 12:27 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 169542087987 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Determine q, given that 108*q**5\/7 - 3996*q**4 + 1825128*q**3\/7 - 1806520*q**2\/7 + 600108*q\/7 - 66564\/7 = 0.\nAnswer: 1\/3, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -15*m**3 - 8*m**2 + 32*m - 33. What is w(2)?\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1.6, -2\/3, -0.07655, -0.3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -d - 42. Let p be r(-14). Let f be 7*(20\/p + 1). Solve -w = f*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -i**3 + 7*i**2 + 7*i + 11. Let n be j(8). Let d be (-1)\/((-10)\/4 + 2). Find the third derivative of -5*a**d - 3*a**n + 3*a**3 + 6*a**4 wrt a.\nAnswer: 144*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2736745 - 2736745 - 5114*w**3 + (-2*w**3 + 2*w - 2*w)*(-5 + 1 + 3).\nAnswer: -5112*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve j + 25 = 5*r, -j - 121*r = -122*r + 5 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 56400000 to the nearest one million.\nAnswer: 56000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 118*v**3 + 198*v**3 - 390*v**3.\nAnswer: -74*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -26671 - -26672. What is the nearest to -5 in -23, x, 0.3, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (4\/(-17 + 5))\/(3\/(-2925)) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 72241074 divided by 3\nAnswer: 24080358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2960*t = 4*s - 2969*t - 15, 4*s + 9 = t for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/((-5)\/6 - 3\/(-9))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -437 + 1749\/4. Let k = 1 - 0.95. Let w = 2.95 + k. Which is the third biggest value?  (a) s  (b) w  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 388570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = 5*z + 38, z = 5*v - 2*z - 76. Suppose 19*r - v*r = 20. Suppose 3*n + 67 = r*n. Does 18 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 56 - 55. Which is the closest to 0?  (a) 3  (b) -1\/5  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.09 times -91892?\nAnswer: -8270.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Determine v so that 368\/7*v**3 + 3222\/7 - 2\/7*v**4 - 1796\/7*v**2 + 1056\/7*v = 0.\nAnswer: -1, 3, 179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 776442.6 millilitres to litres.\nAnswer: 776.4426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 6\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) be the second derivative of p**7\/168 - p**5\/24 + p**4\/4 + 21*p. Let h(r) be the third derivative of u(r). What is the hundreds digit of h(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(2\/7))**22*(w**(1\/3))**(-7))**(10\/7) assuming w is positive.\nAnswer: w**(830\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence itvs when four letters picked without replacement from {s: 1, v: 1, k: 1, i: 4, t: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(95) - -6*sqrt(95)*2 - sqrt(95)*2*2)*-1)\/(-5*sqrt(405)*6))**2.\nAnswer: 19\/900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 746 is divided by 329?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11974*y - 61 = 11993*y - 4*x, 4*y = -4*x - 8 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 13042 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20 + 88 = -12*a for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*h + 5*u - 28, 16 = 123*h - 120*h - u for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh biggest value?  (a) 2  (b) -4.5  (c) -1\/4  (d) 18.07  (e) 1\/4  (f) 1\/6  (g) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Product of -555299 and -52.\nAnswer: 28875548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3 + 15. Calculate the remainder when 31 is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 4541 and 880869?\nAnswer: 4000026129","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1551 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -4 - y**2 + 5 + 0*y**2. Let i be b(-1). Is -4 - (-2 + i) - -87 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) be the third derivative of 2*p**8\/63 + 8*p**7\/63 + 17*p**6\/180 + p**5\/45 - 3*p**2. Solve c(t) = 0.\nAnswer: -2, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 12, r: 2, m: 3}. What is prob of sequence ww?\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*f + 2*f - 3*m - 39 = 0, -5*f + 34*m = -12*m + 32*m - 144 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -19\/24 and 79\/144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or -13\/698?\nAnswer: -13\/698","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: ((5580\/(-40))\/3)\/((-42)\/(-56))\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 317 minutes after 4:12 AM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 16713 - 16709. Solve 4*r = -12, -26*v + 24*v + 2*r - c = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 239417 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = j**3 + 2*j**2 - j - 4. Suppose 0 = 2*u + 2*u - 2*f + 36, -3*u + 4*f - 27 = 0. Let p(r) = -2*r**3 - 5*r**2 + 2*r + 9. Determine u*m(n) - 4*p(n).\nAnswer: -n**3 + 2*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -n**3 - 5*n**2 - 7*n - 22. Let r be q(-5). Suppose -r*l = -53*l + 7480. What are the prime factors of l?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (495\/17710*23)\/(3\/35).\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-19)\/19 + 1498\/1494. Let k = d + 407\/2988. Let w = k + 17\/396. Which is the second smallest value?  (a) w  (b) 1\/8  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 116536 by -14.\nAnswer: -8324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 79\/432 + 17365\/12528. Find the common denominator of -17\/87 and w.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**13*m**(-36)\/m*(m\/(m*(m*m**8*m)\/m))**(-2\/119) assuming m is positive.\nAnswer: m**(-2838\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:34 AM and 6:16 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1815*r**2*t**2 + 7*r**2*t - 17*r*t - 2*r - 6*t**2 - 6*t wrt r?\nAnswer: -3630*t**2 + 14*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 6488.549 centuries?\nAnswer: 7786258.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -81 - -84. What is the derivative of 8*i**4 - 28 + 32 + s*i**4 wrt i?\nAnswer: 44*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + -20 + (-18 - -36) - -18.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5*p + 2*p - p)*(-2 + 5 - 1)*(-3*p + 6*p - 4*p) in the form c + k*p**2 + u*p and give k.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -i**3 + 4*i**3 + 52 - 21*i**2 - 4*i**3 + 74*i + i**2 - i**2. Let u be p(-24). Solve -u*d = -114 + 130 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -1, 36, 7, 2 in descending order.\nAnswer: 36, 7, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1184*n**5 - 2053*n**2?\nAnswer: 71040*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Determine r so that 3*r**4 + 6*r**3 - 9*r**2 - 12*r + 12 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 2 w when three letters picked without replacement from {h: 1, t: 1, w: 5, c: 2}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 30*v**3 + 13*v**3 + 12*v**3.\nAnswer: 55*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 17*f**2 - 2*f**2 + f - f.\nAnswer: 15*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -1394*q - 7. Let r be a(6). Let t = r - -1484. Let w = -3787 - t. What is w rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) be the third derivative of -x**8\/10080 - x**7\/2520 - x**5\/20 + 3*x**2. Let z(k) be the third derivative of f(k). Determine j so that z(j) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1.05 - -1.6. Let o = n + -0.3. Let p = o - 0.249912. What is p rounded to 5 dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 71, -5, 5, 7, -22 in decreasing order.\nAnswer: 71, 7, 5, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.1774 + 0.0774. What is the closest to o in 0.024, -3, 3?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qszs when four letters picked without replacement from zzzzqzzzzszzqzzqsz?\nAnswer: 13\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -l - 1. Let r(u) = u**2 + 4*u + 2. Let n be 6*(-55)\/132*4 - -14. Suppose -2*i + 0 = 2. Let d = 0 - i. Calculate d*r(q) + n*p(q).\nAnswer: q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -53806400 rounded to the nearest 100000?\nAnswer: -53800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(4\/3)*y**(-11))\/(y**(-21)*y**(-1\/6)) assuming y is positive.\nAnswer: y**(23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (880\/112 - (0 - -8))\/(-8*(-15)\/(-21))?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 5 - 4. Is -3 - (21 + b)\/(-2) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - 3 + 4)*(-5 - 7*v**3 + 8*v**3 + v - 3*v**3).\nAnswer: 6*v**3 - 3*v + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 2328.233 rounded to the nearest integer?\nAnswer: 2328","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 80, 9996 in decreasing order.\nAnswer: 9996, 80, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + -1 + (-15 - (10 + -29)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 4*h + 4 = 0. Let i(v) be the first derivative of -3*v**h - 2 + 2\/3*v**3 + 4*v. Factor i(q).\nAnswer: 2*(q - 2)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 10007096 to the nearest integer?\nAnswer: 3163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3.2?  (a) 3\/4  (b) 56.72  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -154 - -216. Calculate the remainder when j is divided by 19.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2 + (sqrt(500) + (sqrt(500) - sqrt(500)*3))*-1)**2 - ((sqrt(500)*-6)**2*1 + -3))*-3.\nAnswer: 120*sqrt(5) + 52479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-95 - -97)*((-9)\/10 + 1)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 25790898 divided by 3\nAnswer: 8596966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 7436 + -6107.3. Let j = 1328 - k. Let m = 110\/3 - 37. What is the second biggest value in -3, m, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o = -103 + 145. Calculate the greatest common divisor of o and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1.01 - 1. Let t = 0.49 + s. Let z = -214 - -211. What is the closest to z in -1\/4, 1, t?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 + -7 + -2 + 20?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) be the second derivative of -2 + 1\/3*x**3 - 1\/2*x**2 + 9*x. Let o be 2\/(-2)*1 + -1. What is f(o)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -87 + 156. Suppose -144190*u + 144201*u = 55. Calculate the remainder when h is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 745404478?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3\/32?  (a) 0  (b) -0.04987  (c) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-2)\/1)\/(0 - 6). Let x = 45 + -43. Let z = 2.7 + 0.3. What is the closest to n in z, x, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -6*m**2 + 2*m - 3. Let h be c(-4). Let s = h - -363. Let t = s - -51. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -147148.820466 + 10.8.\nAnswer: -147138.020466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -2988*w + 2237. Let n(z) = 8965*z - 6717. Let o(d) = 5*n(d) + 16*t(d). Find the first derivative of o(l) wrt l.\nAnswer: -2983","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2 - ((-3 - 2) + 2)) + 12. Suppose -2*m = -8, 5*d + 5*m + 18 - 298 = 0. What is the greatest common factor of d and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/(y*(y*y*y*((y\/(y\/y**16))\/y)\/y)\/y)*y**29*(y*y**2\/y)\/y**18)**(8\/11) assuming y is positive.\nAnswer: y**(-24\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -l**3 - 46*l**2 - 55*l - 378. Determine v(-45).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -336*f = -340*f + 5*v + 29, -4*v - 19 = f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -965 - -1031. What is the remainder when q is divided by 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 - (-7 + -1) - 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 92 and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = k**2 - 7*k + 13. Calculate q(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*s - 5*z - 22, 3*s + 4*z + 2 = s. Suppose -5 = 4*l + s. Let t be (5\/l)\/(4\/(-8)). What is the highest common divisor of 45 and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -31\/4  (b) -1\/4  (c) 1  (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1278)\/15 + 2\/10. Let q = -55 - s. Suppose -5*w - 2*o + 75 = 0, -2*w - 6*o + o = -q. What is the remainder when 44 is divided by w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 6576241 by 1.\nAnswer: 6576241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l = -l + l. Let o(g) be the second derivative of -2*g + l - 1\/6*g**4 + 1\/2*g**2 + 0*g**3. Find the first derivative of o(c) wrt c.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3404 take away 82141?\nAnswer: -85545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - 25 = 5*m, -3*t = -5*m - 6*t + 15. Suppose m*l + 8 = -2*l, 2*s + 3*l = -2. Solve 4*u + s = 3*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) be the third derivative of -u**4\/8 + 20*u**3 - 301*u**2 - 3. Give h(36).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*x**3 - 14883*x**2 - 18195432*x + 655200420.\nAnswer: -3*(x - 35)*(x + 2498)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -2*b - 5. Suppose -26 = 4*h - 2*n, 19 = h + 5*n - 2. Let t be 3\/h*24\/(-6). Let w(i) = 2 - t + 3 + i. Give 5*w(d) + 2*z(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*l - w + 79, 3*w - 152 - 45 = 5*l. Let u = -28 - l. Let j = u - -5. 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: Let z(i) = -358*i + 4. Let o(k) = 1074*k - 11. Determine 6*o(b) + 17*z(b).\nAnswer: 358*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*q = 4*f - 19*q + 47, -39 = 3*f - 3*q for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-1)\/(0 - 4\/12). Let t(o) = 5*o**2 + 42 - 2*o**2 - 4*o**2 + a*o. What is the units digit of t(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -c**3 - 4*c**2 + c + 4. Suppose 0 = -3*u + 1 - 10. Let w be j(u). Does 5 divide (0 - -2)*(-20)\/w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 133579.\nAnswer: 31, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3968233982?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4*-5121.\nAnswer: 20484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of ((-5)\/((-10)\/(-4)))\/(2\/(-108))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -663 * 70631\nAnswer: -46828353","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z = -3*d - 2*z + 1708, -3*z = -5*d + 2840. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 21200201 (base 3) to base 2.\nAnswer: 1010111101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -25024, -49882, -74740?\n\"Answer: -24858*q - 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*k = 4*t - 41, 1488*t = 1489*t + 3*k - 19 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 682\/18 - 2\/(-18). Let v = m - 38. Suppose -4*s - 12 = 0, 4*p - 65 = -s - v. What are the prime factors of p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k = 4*i - 4921847, 2190*k - 3281170 = 2188*k + 5*i. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -488543, -4, 0 in increasing order.\nAnswer: -488543, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -1*8\/12*-12. Suppose 13*g - p*g = 15. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5163*y**2 - y**4 - 3*y**3 - 758 - 5170*y**2 + 759 + y to the form p*y + u*y**4 + k*y**2 + m + w*y**3 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10 (base 3) to base 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 829?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cwxx when four letters picked without replacement from cwcpccxcccpxc?\nAnswer: 2\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 16666 (base 7) to base 8.\nAnswer: 11301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 2*x - 1)*(40 - 3 + 32)*(4 + 15 - 5) to p + c*x and give c.\nAnswer: -1932","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = 10 + 44. Suppose 160*l - 183*l = -483. What is the remainder when d is divided by l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.001075698731 to four dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dhdsddcdddhs. Give prob of sequence hcd.\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is -136582 bigger than -136583?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 418 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 52700.7 rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 78 = -19. Let q = -93 + l. Calculate the greatest common factor of q and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -38*a*l**2 - 3*a*l - 1598*a - l**2 wrt l.\nAnswer: -76*a*l - 3*a - 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + (8 - 6) + 4 + (16 - -23)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence do when two letters picked without replacement from {d: 1, o: 2, e: 7, j: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 5779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -187 - 319 = 11*y + 35*y for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -319 + 319 - 20*i.\nAnswer: -20*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 231 is divided by ((-4)\/4 - -7)*26\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11 = 2*q + 3*b, 27*q = 31*q + 20*b - 64 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 4*m**2 + 6*m + 72. Let t be k(0). Is ((-2017)\/4)\/((-9)\/t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4 + 1 - 3)*(-1 + 1 + 2*m**3) + 0*m**3 + 0*m**3 + 2*m**3 + 0 - 3*m**3 + 0 - m**3 + 3 - 2 - m**2 - 5 to h*m**2 + r*m**3 + y + i*m and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 9920 + 6159. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*y - 7 = 71. Solve -y*j + 9*j + 9 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 7 - 0. What is the lowest common multiple of 20 and (-1 - 3)*(6 - r)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = l + 33. Let t(o) = o - 7. Let r be t(7). Let i be q(r). Suppose 2*b - 9 - i = -3*f, b + 42 = 3*f. Does 4 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 23299\/9 + -2589. Which is the fourth biggest value?  (a) -1  (b) 4  (c) t  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -388803159, -388803157, -388803155, -388803153, -388803151?\n\"Answer: 2*o - 388803161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = 29907*n - 9972*n - 25 - 9973*n - 9966*n. What is g(-9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.3 and -148155200956370.\nAnswer: -148155200956370.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 10*v + 24. Let b(q) = 10*q + 18. What is 4*b(s) - 3*o(s)?\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.994 to 1 decimal place.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(2\/13)\/a)\/(a\/((a*a\/((((a*a\/((a*a**(-2\/73)\/a)\/a))\/a)\/a*a*a)\/a))\/a)))\/(a**(4\/9))**(-42) assuming a is positive.\nAnswer: a**(44963\/2847)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17964.\nAnswer: 2, 3, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 16056 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.05299325 - 0.053. What is u rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6\/16*(-13)\/(156\/(-8))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -17*s**2 - 14*s - 6. Give h(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -30*y + 17*y - 2*v + 2596231, y + 5*v = 199681. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1986 - 1853.3. Let z = -133 + h. What is the nearest to 0 in -30, 0, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -214 + 218. Solve -1 = -r*v + 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 794*j**2. Let i(z) = -3*z. Calculate b(i(q)).\nAnswer: 7146*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -873*n + 7487. Determine d(9).\nAnswer: -370","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 243 minutes after 3:10 PM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 75 divided by -5.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2\/11, 381, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -6 + 5. Let f = 3 - -2. Put f, a, 3 in increasing order.\nAnswer: a, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wfffffwfkfwwwkfwfff. What is prob of picking 1 w, 1 k, and 2 f?\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = s**3 + 6*s**2 + 10*s + 13. Let u be b(-6). Let p = u - -53. Solve 3*g - p + 0 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-9)\/12)\/((-2)\/8). Is w != 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2079784 rounded to three decimal places?\nAnswer: -0.208","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 1289248979 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 7\/2 of a century?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) be the second derivative of -x**5\/10 - 195*x**4\/4 - 752*x**3\/3 - 154*x - 1. What is the second derivative of b(a) wrt a?\nAnswer: -12*a - 1170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 7 - 0*14\/(-210) and 11274?\nAnswer: 78918","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4 + 203*y**3 - 4 - 247*y**3 + 120*y**2 wrt y?\nAnswer: -264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*((q*q\/q**2*q)\/q)\/q)**(-50))**(4\/9)*q**(2\/7)\/q**6*q\/(q*q**(-4))*q**(3\/4)\/q assuming q is positive.\nAnswer: q**(-55\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*k + 3*y + 9 = -8*k, -4*y = 5*k + 21 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 511324085 - -16487\nAnswer: 511340572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 2*w + 16. Let h = 3 + w. Let z = 4 + h. Solve -21 = -3*j - z*b, 2*b = -j - 9 + 20 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 12833706*u + 22494531 with respect to u.\nAnswer: 12833706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*y + 28, -5*y + 20125 = -37*p + 42*p. Is p a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -12*y + 290. Let b(a) = 7*a - 146. What is 10*b(q) + 6*c(q)?\nAnswer: -2*q + 280","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from veetveer. Give prob of picking 1 e and 1 r.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + -1 + -2 + 6 + -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*sqrt(245))**2 - (sqrt(5) - (sqrt(605) + -2 - sqrt(605) - sqrt(5)))**2.\nAnswer: -8*sqrt(5) + 3896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -t - 1. Let b(q) = -6*q**2 + 18*q + 18. Let s be 30\/4*(282\/30 + -7). Calculate s*x(g) + b(g).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 6 + -4. Suppose q*b - 25 = -5. Calculate the lowest common multiple of b and 14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = n**2 + 7*n + 8. Let t be b(-1). Solve -t = -3*h + 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 10976044?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve l - 2*g = -259 + 257, 0 = l + 5*g - 12 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 437980.3054 - -0.77.\nAnswer: 437981.0754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 21 - -4570?\nAnswer: 4611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -648*d - 1318. Calculate y(-2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4 - 9. Let j = 1215.3 - 1216. Which is the third smallest value?  (a) f  (b) j  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) be the first derivative of -1\/3*v**3 + 7\/2*v**2 - 5*v + 1. Let y be ((-6)\/(-9))\/(((-32)\/(-30))\/8). Calculate r(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5*c + 33*c**2 - 129*c**2 - 14*c + 0*c - 137*c**2)*(c**2 - c**2 + 3*c**2) as d + p*c**2 + h*c**3 + w*c**4 + o*c and give w.\nAnswer: -699","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 15850 divided by -5\nAnswer: -3170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor g**5 + 6*g**4 - 24*g**3 - 80*g**2 + 336*g - 288.\nAnswer: (g - 2)**3*(g + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1120 + -2101?\nAnswer: -3221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -569 - -566. What is the tens digit of (-45800)\/(-150) - (1\/j)\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*y + y**3 - 25*y**2 - 656*y**4 + 26*y**2 - 119*y**4 - 29*y**2 - 32*y**2 wrt y?\nAnswer: -18600*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -199 and -3.\nAnswer: 597","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7526136, 15052270, 22578398, 30104520, 37630636, 45156746?\nAnswer: 52682850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 6\/21 - 2967\/21. Is (-3 + s\/6)*-2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 5*c + 57. Let u be j(-11). Suppose -4*w - h + 143 = u*h, -5*h = -5. Is w a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*f**2 - 65*f - 240.\nAnswer: 5*(f - 16)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 38 = -2*u, 2*u = 71*h - 66*h - 67. Solve 5*w - h = 0, 0 = 3*q - q + 2*w - 6 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*i + 54 = -17*i. Suppose 1 = -b, q - 4*b + 391 = i*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5107\/6820 - 2\/1705. Let k be (0 + -2)*2\/(-12). Put t, k, -5 in descending order.\nAnswer: k, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -p = 5*c - 55, -137*p + 100 = -135*p + 9*c for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = y + 22. Let w be p(114). What is the greatest common divisor of w and 656?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 7714 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express (88 - 141 + 0*n**3 + 2*n**3)*(2 - 5 + 4) in the form w*n**2 + a*n**3 + s + l*n and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1.874 + -0.126. Which is the second biggest value?  (a) p  (b) 4  (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from aaalaala?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (1*79)\/((-2 + 11)\/9). Let b = 78 - t. Sort 2, b, 3.\nAnswer: b, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 505 minutes before 6:15 PM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -6  (b) -4  (c) 0.7  (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 bigger than -0.0464902?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (k + k + k + (-k + 0 + 0)*(0 + 0 - 2) + 2*k - 2*k - k)*(-5 + 0 - 3)*(2 - 2 - 2).\nAnswer: 64*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) be the first derivative of 58*n**7\/7 - n**4 - 272*n**3 - 1155. Find the third derivative of h(i) wrt i.\nAnswer: 6960*i**3 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-4 - (-25)\/5)*(8 + 1). Let q be (k\/(-6) - -2)*0. What is the second biggest value in -0.5, q, 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1 - 1. Suppose 3*o = -3 - 12. What is the biggest value in b, -0.2, o?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.37352 + 0.17352. What is the smallest value in 279, 1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**18*y\/(y*y**7*y*y*y)*y*y\/y**(-5\/4)*y*y\/y**(2\/19) assuming y is positive.\nAnswer: y**(999\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.11 - -0.01. What is the second biggest value in 2, v, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8)\/(-6) + (-105)\/(-63)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (sqrt(4)\/sqrt(32) + 4)*-5 + (6*(1 + sqrt(2)))**2 + -5 + -5*sqrt(6)\/(sqrt(12)\/sqrt(4) + sqrt(3)).\nAnswer: 83 + 273*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a millimeter in micrometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -5*i - 2. Let l be p(2). Let m = 14 - l. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 4\/(-10) - 2\/(-5). Let b be (55\/6 + 4\/(-24))\/(-1). Let n(z) = -2*z**2 - 23*z - 22. Let d be n(b). Solve 5*a - 2*c - d + 9 = x, 3*a = 4*c for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.0261 * 70.7\nAnswer: -1.84527","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2 - -1. Suppose -4*a + u = -33, -a - l*a - 4*u = -28. Is 8 < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -q + 1. Let u be m(2). Let j be u*5\/(-3)*3. What is the third biggest value in 1, j, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 65.9758 + -66. Let i = -1026.3 + 1028.7142. Let q = f + i. What is q rounded to one dp?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 70792 - 40457. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4680 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) be the second derivative of -w**4\/12 + 5*w**3\/6 + w**2 + 4*w + 195. Suppose -5*a + 2 + 23 = 5*s, 4 = 4*a. Calculate z(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -6504, -26023, -58552, -104097, -162664?\n\"Answer: -g**3 - 6499*g**2 - 15*g + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -2*c + 3. Let l(b) = b - 9 + 9. Give -4*l(j) - w(j).\nAnswer: -2*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 - 847\/(-423))*-76 + (19 - 3042\/162).\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*c - 6, -5*d = c - 22 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) be the second derivative of -c**5\/30 - 25*c**2\/2 - 35*c + 2. Let w(s) be the first derivative of j(s). Let m(b) = -6*b - 1. Determine m(w(q)).\nAnswer: 12*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 53 and 854228401.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -1 + (63 - 23) + -34\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -28*d - 5*d + 66. Solve d*b + 7 = -2*z - 5, 0 = -5*b + 3*z - 14 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 346*p**3*t - 9*p*t + p - 13*t wrt p.\nAnswer: 2076*p*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*q**2 + 21*q**2 - 8*q**2 - 2*q**2 + 0*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*c - 20 = 0, 9*c - 10 = -2*w + 4*c for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 5989 and 132775?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -w**3 + w + 1. Determine r(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1 + (-1)\/5)\/((-6)\/200). What is the greatest common factor of 5 and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -n**3 - 2*n**2 + 2*n. Let h(g) = 7*g**2 - 8*g. Let o(i) = 5*h(i) - 5*j(i). Find t, given that o(t) = 0.\nAnswer: -10, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -29141876, -29141869, -29141858, -29141843, -29141824, -29141801, -29141774?\nAnswer: -29141743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.3 from -6337382951173.\nAnswer: -6337382951173.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:06 AM and 5:10 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-1)\/(-3))\/((-50)\/6). Suppose -4*m - 4*d = 152, -5*m + d + 17 = 237. Let r = -42 - m. Which is smaller: v or r?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 4 + -5 + 3 + -6. Which is greater: -1 or p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*t - 17*t = 20. Let c(s) = 23*s**2 + 5*s - 7. What is the tens digit of c(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 4*q - 3. Let w be 1 + 0 - 4 - 0. Let i = q + w. Solve i*r + 4*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33 = -p - 7. List the prime factors of p.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -6*b**3 - b**2 + 3*b + 5. Determine p(-2).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - o = -4*o + 118289, -3*g - o = -177451. Suppose 10*l - 2*l - g = 0. Suppose m - 5*i - 1850 = -358, 5*m - 3*i = l. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 32024 and 2856?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3304.\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -117\/2 - -59. What is the nearest to r in -4, 1\/4, -2\/21?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 39566489317.5 - 2\nAnswer: 39566489315.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3519?\nAnswer: 3, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3\/4112090 or 1?\nAnswer: -3\/4112090","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 39, 76, 113, 150, 187?\nAnswer: 224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -3\/10  (b) 2240  (c) 1  (d) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 138537 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 293, 322, 377, 470, 613?\n\"Answer: 2*z**3 + z**2 + 12*z + 278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (-40)\/(-32)*6\/15\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5.1 - 4.962. Let j = 1.862 + k. Which is the third biggest value?  (a) -0.3  (b) 0.03  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 1, w: 1, k: 1, z: 1, s: 1, l: 2}. Give prob of sequence aw.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 583003 is divided by 117.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3433078305?\nAnswer: 3, 5, 587, 129967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (1\/(-5))\/(4 + -3)*1. What is the closest to 1\/2 in j, -2\/5, -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 1385.9697 hours?\nAnswer: 57.7487375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 72*u + 77*u = -69, -2*x = -14*u - 198. Let t = 10873\/10153 - 81\/71. Is x at most as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (4 - (0 - 44)) + (33 - (1 - -43))\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/4?  (a) 0  (b) -8\/9  (c) 4  (d) -65  (e) -29.448\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2\/5 or 3537?\nAnswer: 3537","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put -9, -1, 25, -3 in decreasing order.\nAnswer: 25, -1, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*c**3 - 2*c**4 - 9*c + 293 + 14*c**3 + 287 - 868 + 286 in the form r*c**3 + l*c**4 + t*c**2 + x + z*c and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 + 13*k + 5*k**4 + 2*k**3 - 11*k - 3*k**4 in the form i + y*k**3 + u*k**4 + v*k + d*k**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4059 = -60*u + 61*u. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 185*k + 70*k + 444 - 2229. Solve 0 = h - 15*u + 10*u - k, 2*h = u + 5 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 950206.7l to millilitres.\nAnswer: 950206700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -25*v + 15*v. Let x = -2\/204561 - -260610736\/2250171. Factor v + 756\/11*c**3 + x*c**4 + 686\/11*c**5 + 16\/11*c + 184\/11*c**2.\nAnswer: 2*c*(c + 1)*(7*c + 2)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3, -40, 3, -1646?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c = 3*n, 0 = 3*c - 0*c. Suppose n = -4*r + 18 + 102. Suppose -4*b = -3*q + r, -2*q = -0*q + 4*b. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 544738 a multiple of 472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -1, -6.\nAnswer: -6, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 27\/(-4)*(1 + (-133)\/21). Suppose -6*m = -i - 0. Solve -m*z - 8 - 4 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u - 97 - 131 = -b, 5*u = 5*b - 1060. Suppose v - 3*v + b = 0. Calculate the greatest common factor of v and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -93, -165, -237, -309?\nAnswer: -381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 5\/130916 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1102?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/9*(-150)\/500?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (3\/(-16))\/(114\/(-76))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 52249831.\nAnswer: 52249831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 275191879 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*o**2*x**2*y - o**2*x*y + o**2*x + 527*o*x*y - 1524*x**2 wrt y?\nAnswer: 2*o**2*x**2 - o**2*x + 527*o*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -w**3 - 2*w**2 + 8*w + 5. Is 14 a factor of n(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -5*r. Let n be x(-1). Let q(o) = 2*o + 3. Suppose 12*g = 7*g. Let d be q(g). Solve 3*v = 5*j + 9 + 6, n*v - d*j = 9 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 449 and 9.\nAnswer: 4041","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*s**2 - s**3 + 2*s**2 + 11*s + 4*s**3.\nAnswer: 3*s**3 + 11*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 494 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -1567c73 (base 13) to base 4\nAnswer: -122031301031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -34ed (base 15) to base 7\nAnswer: -44536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -2*a**2 + 1. Let b(s) = 32*s - 219. Let r = -448 - -449. Let f(o) = r*b(o) + 2*j(o). Differentiate f(d) with respect to d.\nAnswer: -8*d + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, -1, 203.\nAnswer: -1, 7, 203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when ((-100)\/25 - -2)*-920 is divided by 34.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -138 + 202. What is the highest common divisor of 8 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-37455)\/(-152955))\/((-28)\/12) - 4\/(-42)?\nAnswer: -1\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -r + r - 5*r**2 + (4*r + 2*r - 4*r + (-4 + 2 + 0)*(-r - r + 0*r) - 10 + 10 - r)*(0 + 0 + 2*r).\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 7966, 7965, 7954, 7927, 7878, 7801, 7690, 7539?\nAnswer: 7342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -50 + 49. Let x = 11 - 6. Let p = 4.8 - x. What is the nearest to p in -2\/9, j, -2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*o**2\/9 + 76*o\/9 + 80\/9.\nAnswer: -4*(o - 20)*(o + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 2*d + 31 = -237, -3*l + 396 = 2*d. Let y(f) = 3*f**2 - 7*f - 8. Calculate the smallest common multiple of l and y(8).\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1069 - -1082. Solve -11*o - f = -68 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1.29 - -0.19. Let o = 1.0999954 + q. What is o rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = 155 - 39. Let n(v) = v**2 - 58*v - 186. Let c be n(-3). Suppose 12 = -2*t + 4. Sort t, c, x in increasing order.\nAnswer: x, t, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + 33 = 3*z - 3*h, -3*z = -h - 24. Suppose 8 = -z*s + 3*s. What is the units digit of (s + 7 - -2) + 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:03 PM and 1:43 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*d**2 - 183*d - 1 + 10*d**3 + 183*d in the form f*d + x + a*d**3 + n*d**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -118 - 2 = -8*f. Let s(u) = u**3 - 2*u**2 - u + 4. Let a be s(3). What is the greatest common divisor of f and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -2*u**3 - 33*u**2 - 17*u + 6. Calculate the remainder when 857 is divided by o(-16).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 divided by -89?\nAnswer: -9\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = 5*c + 67, -2*c - 5*v = -3*c - 18. Let f = c + 21. Solve i + i = f for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 44*q**3 + 8*q**2 - 13*q + 4. Let r(c) = 43*c**3 + 9*c**2 - 15*c + 5. Let k(b) = -4*r(b) + 5*x(b). Is 39 a factor of k(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 9 = 5*y, 1 = 2*y - n + 4. Let u = y + -1. Let c be (u\/3)\/((-1)\/4). Solve -5*r = 3*o + 18, c*r - 7 = -4*o - 23 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 5*p + 278. Determine x(101).\nAnswer: 783","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/5)\/((-141)\/(-2820))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*n = 20*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 1 k when two letters picked without replacement from leflukkludlfkflkflll.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 71873?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/(-1))\/((-35)\/15).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 4 = -4*p. Let d be p\/(-1 + 2) + 6. Suppose -2*n + 14 = -d*o, -3*o + 4*n = -0*o + 23. What is the nearest to 1 in o, 1, -5\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 82 - 82 - (-15 + 21 - (46 + 0))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 12*j**2 + 83*j - 8. Let n be x(-22). Round n to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1183 - 841.1. Let s = -342 + p. Which is the nearest to 1\/2?  (a) 4\/7  (b) -0.5  (c) 11  (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 70.24 - 73. Let z = -3 - k. Round z to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 11*y**3 + 1. Let u(d) = -11*d**3 - 17*d + 6 - 7 + 9*d + 8*d. Give 7*l(n) + 6*u(n).\nAnswer: 11*n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 272595634?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 11*t**2. Let w be (1 - 6)\/(-6 - (-6 + 1)). Let p be (-4)\/(-18) - 48\/(-27). Let v(z) = 4*z**2 - z**2 - w*z**p. Give v(o(d)).\nAnswer: -242*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 18\/(0 - 3) + -2 + 14. Find n such that -3\/2*n**2 + j*n - 6 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -1336*r + 77369. What is p(58)?\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -r + 0 = 46362*t - 46359*t - 4, -9*r + 4*t = 26 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -3150, -3126, -3086, -3030, -2958, -2870?\n\"Answer: 8*s**2 - 3158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1682742?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*b*b**(2\/15)*b)\/(b**(2\/45)\/b) assuming b is positive.\nAnswer: b**(184\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -187 + 265. Calculate the least common multiple of a and 22.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in -0.1, -9, -0.27?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 14 and 6874?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -89 or -44?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 29 times -24\nAnswer: -696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 6*r**3 + 14*r**2 + 9*r - 121. Give x(5).\nAnswer: 1024","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 7, c: 12}. Give prob of sequence bc.\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sxssssxxxs. Give prob of picking 2 x.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -255 + 754. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 12*k + 4. Let i be n(19). Let f be ((-2)\/(-28))\/(i\/812). Put f, 0, 2\/3, -2 in descending order.\nAnswer: 2\/3, f, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 175 minutes before 8:07 PM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/(-9))\/(2*1\/4*(-55728)\/(-982206))?\nAnswer: -47\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 7\/2  (b) 1  (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-1)\/(-61))\/(110\/11). Let w = v + -631\/12810. Which is greater: w or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 506?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1 - (8 + 255\/(-35)). Let t = 11\/2 - 125\/22. Which is the smallest value?  (a) t  (b) 0.1  (c) q  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 17 and 70871.909.\nAnswer: 1204822.453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0044096861 to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*m**3 + 2*m**3 + 3*m**4 + (-37*m**3 - 30*m**3 + 85*m**3)*(2*m - 2*m - 4*m))*(0 + 0 + m).\nAnswer: -69*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t - 3*c + 21 = 0, -3*t - 3*c = -5*c - 12. Suppose -2*g = -j - 667, t*g - 1665 = g + 2*j. List the prime factors of g.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -2 - ((-2 - 1) + -1). Suppose u - x*j - 12 = 0, 0*u - 3*u - 2*j = -36. Suppose -k + 5 = 0, -c = c - 3*k + 15. Solve -4*t + u = -c*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6*a - 5*a - 7*a to n + v*a and give v.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 5714 (base 14) in base 4?\nAnswer: 3230012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7333?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*n - 173 = -3*t + 3*n, -4*t = 3*n - 227. Let i be (1\/(-4) + (-3)\/12)*84. Let z = -30 - i. What is the remainder when t is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1962465 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in one tenth of a tonne?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ar when two letters picked without replacement from arrraaaa.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n*((n\/((n**(3\/5)*n*n)\/n))\/n)\/n*n*n*n*n**(-4)*n*(n*n**(-1\/6))\/n**22 assuming n is positive.\nAnswer: n**(-683\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*j = -959 + 1019 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5)\/20*(-4)\/(-3)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - 9 - 99 = 0. What is the remainder when o is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -46 - -28. Let y = 17.38 + m. Round y to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 + 10553*f**3 - 21069*f**3 + 10537*f**3 - 4 + 5*f**2 - 5*f**2.\nAnswer: 21*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -173*u = -211*u. Put 44, u, 5, -5 in decreasing order.\nAnswer: 44, 5, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-20*(-20)\/50)\/(168\/18)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*t = -t - 35. Suppose 0 = -t*o + 3*o + 20, 4*u - 5*o + 17 = 0. What is the lowest common multiple of 3 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 12 = -0, 2*y + 5*h - 153 = 0. Let z be -2*(y\/(-6) + 2). Let a = z - 8. Solve -4*m = -9 - a for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 5230 and 179153650.\nAnswer: 5230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from luuuuhulltuuuluh.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**(-3)*h**14*h**(-12)\/(h\/(h**(-2\/3)\/h)) assuming h is positive.\nAnswer: h**(-11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + (sqrt(720)*2 - (-6*sqrt(20)\/sqrt(4) - sqrt(5))) + 5*(sqrt(225)\/(sqrt(36) + sqrt(9)))\/sqrt(5))**2*5.\nAnswer: 1960*sqrt(5)\/3 + 240280\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j = -8*j + 3*s + 21, s = -j + 1. Solve -j*x + 4*v = 2, 3*x - 2*v = -7*v + 16 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.9 - -1. Which is the smallest value?  (a) -2\/3  (b) r  (c) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/33 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (p + 1 + 2*p - 4*p)*(3*p - 5 + 4 - 1).\nAnswer: -3*p**2 + 5*p - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -0.5  (b) -6  (c) 0  (d) -3\/7  (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 4  (b) 1.4  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((-1*(sqrt(684) + 1 + -2 - sqrt(684)) + -2)*6 + 2)**2 + 5.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.15 and 83670?\nAnswer: 83669.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -332 - -334. Solve -a + j = 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -o**3 + 9*o**2 - 12*o - 14. Let u be (0 - 1 - -1)*(-2)\/4. Suppose u = -h + 2*z + 5, 7*h - 2*h + 5*z = 40. Let k be t(h). Solve k = -w - 3 - 2 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1608744 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1 - -2) + 12\/4. Solve 2*h + d*n = -h - 4, 2*n + 8 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 477*s - 40. Is v(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 173.03 plus -13?\nAnswer: 160.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -392 + 386. Let v(w) = -w - 11. Determine v(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -0.1  (b) 8  (c) -0.5  (d) 2  (e) -60  (f) -147  (g) -1.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k**5\/5 + 58*k**4\/5 + 528*k**3\/5 + 872*k**2\/5 - 1792*k - 5760 = 0. Calculate k.\nAnswer: -10, -9, -4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -44 - -29. Let f(w) = -w**3 - 13*w**2 + 18*w - 27. List the prime factors of f(t).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 56*c**3 - 14*c**3 - 12 + 12 - 35*c**3.\nAnswer: 7*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 173 and 1211.\nAnswer: 1211","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-616 + 617)*1*1\/(-18).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 divided by 2484.\nAnswer: -1\/828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:22 AM and 5:55 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(396)*4 - sqrt(396))\/sqrt(4) - (3 + (sqrt(11) - (sqrt(11) + (3 + -4*sqrt(11) - sqrt(11)))))**2.\nAnswer: -275 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2  (b) -5  (c) 6  (d) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 121555243 - 120?\nAnswer: 121555123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -784, -769, -754, -739, -724?\n\"Answer: 15*v - 799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 18483908?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 122011 (base 3) to base 2\nAnswer: 111001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 - 3 - 12)*(-3*j**2 + 5*j**2 - 3*j**2) + 6*j**2 - j**2 - 2*j**2 to the form y + a*j + r*j**2 and give r.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor o**2\/12 - 1207*o\/12 + 166175\/6.\nAnswer: (o - 782)*(o - 425)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -180 - -166 - (3 + 2)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -430 + 314 = 29*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 838 (base 11) to base 3.\nAnswer: 1101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 23\/(-7) + 3 + ((-1575)\/(-2940) - 2\/8). Let y be (-6)\/36*18\/(-4). Solve 9\/4*x**2 + g + y*x**3 + 1\/2*x - x**4 = 0.\nAnswer: -1, -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -841, -842, -831, -802, -749, -666, -547?\n\"Answer: m**3 - 8*m - 834","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:38 PM and 4:55 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -257\/190 + -14\/95. Let y(z) = -z**3 - 3*z**2 + 1. Let v be y(-3). Which is the third smallest value?  (a) v  (b) g  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (5*((sqrt(68) - (sqrt(68) + 2))*-6 - sqrt(68)) - (-3*(-3*sqrt(68)*-4 - sqrt(68)))**2).\nAnswer: -73988 - 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*a = l - 15, -5*a - 8 - 37 = 5*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 252 and 10?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -3 - 12 - 2*u + 1 + 8. Let x(f) = f**2 + 9*f - 6. Let z be x(-9). Determine o(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -563*p + 570*p - 32564. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve b + 254*n - 250*n + 47 = 0, -3*b + n = -15 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 578297 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide ((-680)\/(-102))\/(12\/423)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1.02257 + 0.12257. Sort 1, 4\/5, 2, g, 3\/5 in descending order.\nAnswer: 2, 1, 4\/5, 3\/5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = s**2 - 6*s + 5. Let r be y(5). Suppose r = 6*a - 12*a + 1110. Is 14 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 7 + -7. Solve v = z + 4*z - 15 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 4\/6*(-297)\/(-6). Calculate the greatest common divisor of 11 and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 80\/(-3)*(7008\/(-160) + 39). Solve -154 = -13*u - p for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v = c + c - 2, -12 = 4*c for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-6 - -4 - 1)\/(117\/(-45552)). Calculate the highest common factor of 219 and u.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2)\/(-5)*(-30)\/36. What is the fourth smallest value in -1\/2, 4, s, 2\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -15*79\/(-120) + (-2)\/(-16)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (78\/(-9))\/((-1898)\/1752).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) be the second derivative of h**3\/3 + h. Let g(o) = -3*o + 34 - 360 + 39 + 292. Give g(s(t)).\nAnswer: -6*t + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1448.188409 and 5.\nAnswer: 7240.942045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*g**2 + 191461*g - 191463*g + 2*g**2.\nAnswer: 4*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 2*a = -82, 26*j + 152 = 30*j - 2*a. Suppose -u - 2*u - 63 = 0. Let f = u - -31. Calculate the remainder when j is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -39 + 43. Solve 0 = b + 4*t + 11, 1 = -z*b - t - 13 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*v = 3*p + 10*v - 8, 53 = 3*p + 10*v for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bypypppkkbb. What is prob of sequence yp?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2 - 1) + 1 + 380. Let w = -1447 + n. Let t = w - -2274. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 944, 684, 426, 170, -84?\nAnswer: -336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1\/6, -7\/2, -157, -3\/5, -2.6?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 42 divide 21751525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*d = 81*v + 114, 0 = 5*d + 5*v + 227 - 61 - 106 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -8898 - -9730. What is the least common multiple of 416 and r?\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 15.31 - 748.\nAnswer: -732.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -560*b + 3. Calculate d(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -50 + 85. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3 + 3. Let v be l - (1 + (-3 - -5)). Let u(m) = 8*m**v + m + 3*m + 9*m**2 - 4*m. Let k(d) = -2*d**3 - 2*d**2. What is 9*k(w) + 2*u(w)?\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + 22 + 47 + -137.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 21513 + -31?\nAnswer: 21452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -21 - (-70 + 56 - -12)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.02 * -0.2062161.\nAnswer: -0.004124322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -30, -98, -204, -348, -530, -750?\n\"Answer: -19*z**2 - 11*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 0.8*0.116675\nAnswer: 0.09334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide 355765 by 71153.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (3\/30)\/(5\/20). What is the smallest value in 2\/11, 2, m?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 4*t = -75, -x + 4*t = 6*t - 45. Suppose -5*k + d = -203, -2*k + 3*k - x = 5*d. Suppose 2*l = -2*z - 0*z + k, 0 = l + 2. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*(1 - 6\/3)*1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 26 - 22 - (2 - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 8\/(-28) - 48\/(-21). Suppose -4*y = -j*p - p + 4, y = -1. Suppose -4*w = 4*b, -2*w = -b + 2*w. Is p bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -2*t**3 + 2*t**2 + 2*t - 6. Let o(w) = 2*w**3 - 2*w**2 - 2*w + 7. Let y = 7 - 3. Let q(a) = y*o(a) + 5*r(a). Factor q(u).\nAnswer: -2*(u - 1)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -64\/1771 and -97\/2898.\nAnswer: 31878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 101758507 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1 - 678*1\/20. Let u = w + 65\/2. Suppose -4*g = 2*x - g - 4, x - g = -3. Which is bigger: u or x?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 357670 divided by 71534?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + 4 + -1 + -4 + -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1994315166 plus 2.958?\nAnswer: 1994315168.958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 6020000 rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*p - 182 + 0 = 0. Suppose g = -2*k + p, -k - 3*g = 7 - 19. Suppose -10*m - k - 2\/3*m**3 - 14\/3*m**2 = 0. What is m?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -n**3 - 4*n**2 - 4. Let h be z(-4). What is the remainder when 2\/h*17*-2 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 2*m**3 - 41*m**2 + 419*m + 60. What is the least common multiple of 48 and r(14)?\nAnswer: 27024","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cczzsrszsvzccvsfzvsz. Give prob of picking 2 c and 2 z.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/1224*-3873 + (-6)\/51 - 10?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 20\/6 + (-12)\/162*-9. Let m(b) be the third derivative of -2*b**2 + 0*b + 0 - 5\/24*b**l + 0*b**3. What is m(-3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -3  (b) -1\/3  (c) -104  (d) -0.2  (e) 0.4  (f) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:05 AM and 11:37 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nv when two letters picked without replacement from {n: 2, v: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = i - 4. Let n be y(6). Suppose 0 = 31*l - 82 + 20. Suppose l*d = -z + 26, 0 = d - 6*d - n*z + 67. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 4\/12 - (-2)\/(-6). Suppose v + 5*v - 102 = t. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r - 5*n + 3*n + 7 = 0, 0 = r + 4*n - 11. Suppose -r*d = 2*d + 355. Let p be (d*10)\/(2\/(-200)). What is p rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -42, -65, -72, -63?\n\"Answer: 8*o**2 - 47*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 863650?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/3, 2, -2\/3, -4\/3, 8 in increasing order.\nAnswer: -4\/3, -2\/3, -1\/3, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 2 + 2)*(3*d - 4*d - d) + 2 - 2 - 4*d + d - 3 + 3.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = b**3 + 14*b**2 + 11*b + 17. Let m be t(-12). Let y be 3*m - (2 - 6). Suppose -y = -2*q + 267. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 76365 and 6075.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 15 + -11. Suppose j*p - 2 = 5*n, 3*p - 16 = -4*n + 1. Let v(z) = -p - 2*z + z + 0*z. Calculate v(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 637 = -2*c, 0 = -5*q + c - 0*c + 1064. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 577349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -17 + 21. Let n(x) = -2*x**3 + 2*x**2 + 29*x. Let d be n(t). Which is bigger: 184\/9 or d?\nAnswer: 184\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 41*o**2 - 92*o**2 + 12*o**2 - 103*o**2.\nAnswer: -142*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4 + 19. Suppose g = 2*r + 2*r + 24, 2*g + 12 = -4*r. Suppose 2*a = g*a - 56. Calculate the remainder when a is divided by m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 4*u + 9. Let x(z) = -5*z**2 + z - 8*z**3 + 5*z**3 + 5*z**3 + 8*z**2. Let p be x(-2). Calculate r(p).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:40 AM and 1:37 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-140)\/(-416) + (-1)\/(-8). Is y at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -40.6 + 38.6. What is the smallest value in 71, x, 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 - (17 - 22 - 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (24\/(-21))\/((-882)\/(-343))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 15*v**5 - 19*v**4 + 1082*v wrt v?\nAnswer: 300*v**3 - 228*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 10121132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -62, -184, -302, -416?\n\"Answer: 2*y**2 - 128*y + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -3*a**3 - 14*a**2 - 46*a + 37. Is r(-20) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g\/g**(2\/7)*g*g**(8\/15)*(g**(-2\/3))**(-43) assuming g is positive.\nAnswer: g**(1082\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 44 minutes before 1:15 AM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*i**2 - 26*i**3 - 15*i**2 + 30*i**3.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4.7 + -1. Let h = -0.3 - i. What is the third biggest value in -0.3, h, 1\/2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -171 + 185 - (11 - -4 - -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -1, 119 in descending order.\nAnswer: 119, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 508 divide 669002?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.062 and 17.\nAnswer: 16.938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -2360320 divided by -472064\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = l**3 - 16*l**2 + 11*l + 62. Let n be v(15). Solve 0 = 4*a - 2 - n for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 72171?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 10573 in 0.5, 2, -0.14, 4, 5, 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -4*v + 31. Let d be l(7). Suppose d*j + 119827 = -3123173. What is j rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(-4)\/f)\/f*f)**(-18\/13) assuming f is positive.\nAnswer: f**(90\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a, 1 v, and 1 n when three letters picked without replacement from {k: 2, a: 8, v: 2, g: 4, n: 2, l: 1}.\nAnswer: 32\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -j**3 - 5*j**2 - 5*j - 1. Let a be p(-4). Solve -3*b + a*u = -6, -5*b = -0*b - 3*u - 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-382 + 325)*(3092\/(-6) - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 60 + -58 + (2 + 0 - 1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 5*c**3 - 12*c**2 + 3*c + 2. Let w be 3*2*(-5)\/10. Let t = -4 - w. Let x(s) = s**3. Let r(j) = t*q(j) - 2*x(j). Determine b so that r(b) = 0.\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -3*z. Let a(u) be the third derivative of -1\/12*u**4 + 0*u + 0*u**3 + 0 + 3*u**2. Determine a(b(v)).\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 59329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 - 2 - (-17 - (25 + -19 + (-83 - -1)))?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) be the second derivative of d**4\/12 - 5*d. Suppose 0*b = -3*b. Let i(p) = b*p**2 + p**2 + 2*p**2. Determine j(i(m)).\nAnswer: 9*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 23\/8952 and -45\/16412.\nAnswer: 98472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 0 + (-258)\/(-54) + (-6)\/(-27). Solve 5*b + k = -k - 20, -y*k - 20 = 5*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 2aa - 8?\nAnswer: 2a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*((2*sqrt(55) - sqrt(55)) + sqrt(55)))\/(5*-1*sqrt(11)) - (((sqrt(125) - 5*sqrt(125)) + -4)*2)**2.\nAnswer: -8064 - 3198*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 392015 is divided by 473.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 514798309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 59496.88 weeks in minutes?\nAnswer: 599728550.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oook when four letters picked without replacement from {o: 8, i: 9, k: 2}?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:56 AM and 3:56 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s + 6*r = 8618, -3*s + 3*r - r + 6431 = 0. What are the prime factors of s?\nAnswer: 19, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - k + 1)*(-2*k**3 - k**2 + k**2) + 134*k - 134*k + 10 - 3*k**4.\nAnswer: -k**4 + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Total of -16 and 0.073.\nAnswer: -15.927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/3?  (a) -1\/3  (b) 6  (c) 2\/11  (d) 58\/11  (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.11  (b) -4  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*q**2\/9 + 28*q\/9 - 2944\/9 = 0. What is q?\nAnswer: -46, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 3 (base 15) to base 14\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) be the third derivative of 5*o**4\/8 - 2*o**3 + 3*o**2. Let p be s(4). What is the highest common divisor of p and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 73647435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -7052 - 1?\nAnswer: -7053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 5*d = 371, 5*q + 2*d - 512 - 1458 = 0. Suppose 2480*k - 168788 - 53511 = -4059. What is the highest common divisor of q and k?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -445*c**5 - 488*c**3*r - 3*c*r - 2741*c + 4*r wrt c.\nAnswer: -8900*c**3 - 2928*c*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -11 + 14. Suppose 0 = -2*u - 1 - b. Is 568\/16*(-4)\/u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -6*f + 4. Let y = 1 + 74. Let d be -1 - y\/(-12) - (-6)\/(-24). Give u(d).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3376 (base 14) in base 16?\nAnswer: -22dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2\/13  (b) -2\/9  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 17677958 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 206511 is divided by 51585?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 6 + -6.5. Let m(a) = 684*a - 4109. Let n be m(6). Put -4, n, 13\/5, r in increasing order.\nAnswer: n, -4, r, 13\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1316 or 4629?\nAnswer: -1316","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 6*s + 2*w + 14 = 0, 0 = 5*w + 25. Solve 3*k + k = 3*p + s, -k + 10 = -4*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 4 - (2 - 4) - 1. Suppose -4*v - 3*y = 2*y - 1211, 0 = 2*v - r*y - 613. List the prime factors of v.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 18 + 0 + -36 + 40 + -80.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3312045995.\nAnswer: 5, 17, 38965247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2921*g**4 + 127277*g**2 + 1380325627*g wrt g?\nAnswer: 35052*g**2 + 254554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.339934 millilitres in litres?\nAnswer: 0.008339934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -1\/16, 52, -1, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2.27 - 0.27. Which is the closest to v?  (a) -0.2  (b) 5\/4  (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 10}. What is prob of picking 2 q?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -5599426398286 - -2.9\nAnswer: -5599426398283.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -1 + 1\/((-12)\/(-16) - 1). Let o(d) = d**2. Let v(t) = -7*t**2 - 6*t + 3. Let h(n) = -6*o(n) - v(n). Determine h(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 2162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 16) in base 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 19 + -16. What is the third derivative of -20 + 13*l**4 + h*l**2 + 20 wrt l?\nAnswer: 312*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 37197732, 37197762, 37197794, 37197828?\n\"Answer: f**2 + 27*f + 37197704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1564692246.\nAnswer: 2, 3, 13, 191, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) be the second derivative of -w - 1\/3*w**3 + 0 + 0*w**2. Let l(x) be the third derivative of -2*x**5\/15 - 4*x**2. What is l(i(k))?\nAnswer: -32*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -56 times -0.06\nAnswer: 3.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 246032 from -2018686595.\nAnswer: -2018932627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -c + c + 2*c**2 + (-1 - 2 + 0)*(c**2 + 2*c**2 - c**2) + (13 + 11*c - 13)*(-322 + 24*c + 322) to a*c + p + f*c**2 and give f.\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cggccgpccccpccgcccgc. Give prob of sequence pgp.\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -107*r + 425*r + 72*r in the form g + u*r and give u.\nAnswer: 390","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -2*w**3 - 26*w**2 + 25*w + 35. What is the remainder when c(-14) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 745832804 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 h(k) = -138*k**3 + 2*k**2 - 9*k - 2. Let a(y) = 12*y**3 + y**2 - 2*y. Determine -5*a(q) + h(q).\nAnswer: -198*q**3 - 3*q**2 + q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -41.7871*-5.\nAnswer: 208.9355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -11503 - -20?\nAnswer: -11473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/1)\/1*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -12 by -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -4*a - 8*a - 5*a + 6*a**2 - 7*a + 29*a. Let r(u) = -7*u**2 - 6*u - 1. Calculate -6*o(t) - 5*r(t).\nAnswer: -t**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 8.413035l?\nAnswer: 8413.035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2536 = -0*w + 4*w. Find the common denominator of -57\/22 and w\/280 - 0 - 10\/35.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12727258 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -84, -156, -226, -294, -360, -424?\n\"Answer: y**2 - 75*y - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, -6598, -1\/4 in increasing order.\nAnswer: -6598, -1\/4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -413 + 667. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 51, 76, 87, 78, 43, -24, -129, -278?\nAnswer: -477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/63)\/(((-4)\/30)\/((-71)\/355)).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1398.04245 + -1398. What is o rounded to three decimal places?\nAnswer: 0.042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 = y - 2*o - 0*o, 3*y = -4*o + 43. Let x = -170 + 175. Let v = y - x. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -321*t**2. Let x(d) = -9*d. Determine x(m(w)).\nAnswer: 2889*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:43 AM and 1:16 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -x**2 - 9*x - 4. Let v be d(-8). Let p = -1 + 9. Let g be v + -5 + p + -1. Which is the third biggest value?  (a) -0.4  (b) g  (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.2 + -0.7. Let r = -514.16 + 515. Let s = -3.84 + r. What is the nearest to 2\/3 in p, s, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2410, 10460, 23876, 42658?\nAnswer: 66806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Add -444 and 2.8653.\nAnswer: -441.1347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 122756106 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -35403, -35410, -35417, -35424?\n\"Answer: -7*j - 35396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 131992 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -6.94 + -4.16. Let l = i - -6.1. Which is the second smallest value?  (a) l  (b) -2\/17  (c) 1\/10  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -393 + 405. Solve -d*q + 2*q = 20 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 117660564 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2014 and 38342.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -2*l**2 - 5*l - 2*l + 0*l + 0*l**2. Let s be i(-3). Suppose s*d + 39 - 147 = 0. Is d a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6)\/(-24))\/(27\/(-12)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1.13 + 0.13. Let o be -20*3*(-16)\/6. Let m = o + -1118\/7. Sort m, u, -0.4.\nAnswer: u, -0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -835 - -817. Which is the smallest value?  (a) x  (b) -2  (c) -2\/5  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6842 is divided by 32?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 8*c - 43. Determine y(-8).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 107 - (-1 - -3) - (-15 + -45 + 55)\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 266166*j**3 + 936923.\nAnswer: 798498*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -3*x**3 - 140*x**2 + 566*x + 24613. What is z(-47)?\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 0, 6, 3079, -1 in decreasing order.\nAnswer: 3079, 6, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 10422701 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u - 22 = -7. Let f = u + -9. Let b(x) = -x**2 - 12 - 4*x + 5 + 9. Determine b(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37*b + 14 = 33*b - 3*u, -3*b = -3*u - 21. Suppose -3*c - 25 = 20. Let i be c\/(-6)*3\/5. Sort b, -6, i in ascending order.\nAnswer: -6, b, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 1, -22, 4 in descending order.\nAnswer: 4, 1, -2, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 143.53 - 104.73. Which is the fourth smallest value?  (a) -0.4  (b) x  (c) -1  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in -35, -1, -1\/2, 24, 0.4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) be the first derivative of 2*a**5 - 15\/4*a**4 + 5\/6*a**6 - 20\/3*a**3 + 0*a + 15 + 10*a**2. Factor r(q).\nAnswer: 5*q*(q - 1)**2*(q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 1 and -2\/6040493 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from skkskspssskskkcpkc?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -305*j + 684 = -196*j - 166*j for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 12 = 3. Let w = u + 0. Let s(n) be the second derivative of n**4\/6 - n**3\/3 - 2*n**2 - 11*n. Calculate s(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) be the first derivative of -d**3\/9 + 29*d**2\/3 - 104*d + 27. Factor j(c).\nAnswer: -(c - 52)*(c - 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -9302 + -4\nAnswer: -9306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*b\/(b*b*b**(2\/3)*b*b*b))\/b*b**(1\/4)*(b\/b**(-1)*b)**(-41) assuming b is positive.\nAnswer: b**(-1529\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*h - 18*h + 36 = 0. Let y = 34 - h. List the prime factors of y.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1\/(-3)*1\/(10\/(-990))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 52096.\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 20  (b) -0.3  (c) 0.5  (d) 47\/3  (e) 49  (f) -1  (g) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10 + 10220002?\nAnswer: 10212222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*i**2*z**2 + 2*i**2*z + 2*i**2 + 53745*i*z**3 - 5*i*z**2 - 2800*i*z + 3*i + 2*z**2 - 8 wrt z.\nAnswer: 6*i**2 + 322470*i*z - 10*i + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*(x*x\/(x*x**(-7)\/x*x*x)*x)\/x)\/x)**14*(x**5\/x)**(-8) assuming x is positive.\nAnswer: x**66","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 0 + (-3 - (-34)\/14). Let r = -102 + 417\/4. Which is the third smallest value?  (a) 3  (b) k  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*z**2 + 28*z**2 - 34*z**2.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 966 is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -41.3 + -181.2. Let l = -223 - o. Let f = 0.7 - -0.3. What is the closest to f in -3, 4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1)\/2 - 5\/(-2). Suppose 9*c - 13 - 23 = 0. Suppose -d = -j*k - 33, c*d - 129 = k + 4*k. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 minus 0.809?\nAnswer: 2.191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 1\/64 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y = y - 15. Suppose -2*d + 5*n + 10 = 0, -3*n = -0*d - 3*d + 15. Solve d*a + y = 2*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.07 and 1290984?\nAnswer: -90368.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -91*y + 14. Let j(g) = 27*g - 4. Let v(d) = -7*j(d) - 2*t(d). Let h(f) = -3*f + 15. Give v(h(r)).\nAnswer: 21*r - 105","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*d**3 - 480*d**2 - 4*d + 480.\nAnswer: 4*(d - 120)*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4458?\nAnswer: 2, 3, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 543806?\nAnswer: 2, 271903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -7 - 16*u**2 + 5 + 2 as s + z*u**2 + l*u and give z.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.5 and -487045.\nAnswer: 243522.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -143941 divided by 7\nAnswer: -20563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 49*o**2 + 326*o**2 + o + o - 2 + 66*o**2. Is r(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-8)\/4)\/(-2)*2. Suppose 0 = 5*n + 2*v + 3 + 32, -m*v - 30 = 4*n. What is the second smallest value in 3, n, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y + 3*j - 1241 = -1243, 0 = y - j - 4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 149\/30219552 and 149\/15109776?\nAnswer: 30219552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 + 0 - 7)*(0 + 2*r + 0)*(0*r**2 - 3*r**2 + 6*r**2).\nAnswer: -12*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (18\/((-63)\/7))\/2*(-1026)\/18.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(1\/4))**(2\/87)\/(t**(-1\/5)\/t*t**(-2\/19)))\/(t**(2\/11)*t**(2\/9)*t**(-5\/6)\/(t*t\/(t\/(t\/(t*t**(-4))))*t)) assuming t is positive.\nAnswer: t**(2111129\/272745)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 105 + 14410?\nAnswer: 14515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 46 and 18296.\nAnswer: 420808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 32*r - r**2 + 3*r**2 - 32*r - 7*r**2.\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.529 and 0.034892.\nAnswer: 0.018457868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 6749399 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Determine v so that 2*v**5\/19 + 692*v**4\/19 + 9226*v**3\/19 - 23840*v**2\/19 - 199200*v\/19 = 0.\nAnswer: -332, -15, -4, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -187, -447, -707?\nAnswer: -967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -0.009*-1497.2\nAnswer: 13.4748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37 = 3*r - 25, 5*n + 5*r = 910. Does 15 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -17830*2\/(-24) + 3. Let u = -1474 + b. Find the common denominator of -63\/32 and u.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (18*t + 3*t + 16*t - 39*t - 441)*(-4 + 4 + 1) + 2*t + 3*t + 2*t to d*t + r and give r.\nAnswer: -441","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -4*x**3 - x**2 + 4*x + 5. Let k(b) = b**3 - b + 1. Let i(m) = 3*k(m) + u(m). Determine i(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by -123\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 14 + -10. Which is the nearest to -1?  (a) p  (b) 1\/2  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 37*u - 38*u + 3*w + 20842, 3*u - 3*w = 62508. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.1 and -4607824.\nAnswer: -460782.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -y**2. Give z(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z - 2 = i, 4*i + 7*z - 2*z - 3 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -1070 (base 8) in base 16?\nAnswer: -238","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 70101685?\nAnswer: 5, 14020337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 518\/9 - 2584\/45. Let g be (1 - 5)\/(2\/(-1)). Put 0, w, 21, g in increasing order.\nAnswer: 0, w, g, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -15.856 + 1.086. What is u rounded to the nearest integer?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = x**3 + 2*x**2 - 1. Let d be j(1). Let m(c) = 3*c - 71*c**3 - 95*c**3 + c**2 - d*c. Does 20 divide m(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.04362ml in litres?\nAnswer: 0.00104362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find f, given that 5*f**2 + 15935*f + 9435930 = 0.\nAnswer: -2401, -786","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6708.\nAnswer: 2, 3, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 10340 and 8272?\nAnswer: 41360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:46 PM and 6:56 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -3*k**3 - 49*k**2 - 72*k - 172. Calculate the lowest common multiple of d(-15) and -4*1\/((-1)\/2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - 4*o - 3)*(-3*o - 10 + 9 + 10*o) to the form j*o**2 + x + p*o and give j.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o = -0*a - a - 22, 4*a = -3*o - 3. Calculate the remainder when 93 is divided by a*16\/4*2.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -133\/3036 and 27\/3542.\nAnswer: 21252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 24 and 300.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -3, -9, 96 in decreasing order.\nAnswer: 96, 0, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 49346, 98752, 148152, 197546, 246934, 296316?\n\"Answer: -3*d**2 + 49415*d - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1)\/(-3) - (-17060128)\/96. Suppose -21*s - 5*s + q = 0. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 949 a factor of 7878598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -9*s. Let f(z) = -422*z + 422*z + z**2. What is l(f(c))?\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3929\/8 - -491. Let x = -105\/58 - 557\/261. Find the common denominator of t and x.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b = -18 - 27. Suppose 37*g - 18 = 31*g. Let s be 4 + g\/(-1) + 119. What is the highest common divisor of s and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 52669.\nAnswer: 31, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2 + sqrt(242) + sqrt(2))**2 + sqrt(2))*5.\nAnswer: 245*sqrt(2) + 1460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-36)\/20 + 0)*-5. Let q be (-1)\/3 - 51\/w. Are q and -4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.001610882925 to five decimal places.\nAnswer: -0.00161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 122 divided by -61\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 211616 is divided by 6045.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1.3207 - -0.4207. Which is the nearest to j?  (a) -2  (b) -0.1  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3 - 4. Let k = 0.31 + 7.69. Let r = l + k. What is the biggest value in r, 3, 0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 666 is divided by 134.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*x + 40*x = -63*x + 1316. Suppose -8*a + 2*y = -3*a - 191, 0 = a - 2*y - 43. What is the second derivative of x*g + 10*g + g**4 - a*g wrt g?\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:41 AM and 2:32 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -14721 - -35447. What is the thousands digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -37055787, -37055781, -37055771, -37055757, -37055739, -37055717, -37055691?\n\"Answer: 2*p**2 - 37055789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 127 + -88 - (10 + 1 - -2)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:20 AM and 5:40 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 904?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2521397089?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (7\/(-140)*-16)\/(8\/(-20)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 15 in -1\/6, -4\/9, -3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1614693601 minus -7.8?\nAnswer: 1614693608.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1*(-17)\/(459\/(-18))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Determine q so that 2*q**4\/9 + 184*q**3\/9 - 1586*q**2\/9 + 1400*q\/9 = 0.\nAnswer: -100, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 671 - -479. Is a a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/2 in 2\/23, -61\/3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -4083, -4079, -4077, -4077?\n\"Answer: -d**2 + 7*d - 4089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 3510491 and 30?\nAnswer: 105314730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.98 and -255182.4?\nAnswer: 250078.752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 18*h**5 + 39*h**2 + 45*h**3 - 15*h**5 + 22*h**4 - h**4 + 17*h - 5*h.\nAnswer: 3*h*(h + 1)**3*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - 3*l - 46 = 0, -w + 0*w - 2*l = -6. Suppose 3*q = 131 + 4. Suppose w = m - q. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -12*18\/2808*(-8)\/4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0746858448 rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) be the third derivative of -h**5\/20 + h**4\/4 + 3*h**3\/2 - 7*h**2. Factor s(v).\nAnswer: -3*(v - 3)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-20)\/(-10))\/((-14)\/(-2))*(-28)\/16.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 23*j**4*p**2 + 103*j**4*p + 587*j**2*p**2 + j**2*p - 1 wrt j?\nAnswer: 552*j*p**2 + 2472*j*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r + 2*s - 42 + 58 = 0, 0 = 4*r - s - 13 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 174 and 348?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/6 in -603, -322, 4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -7117, -11477, -15837, -20197, -24557, -28917?\nAnswer: -33277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = z - 3*z. Let b(m) = -m**2 + 8*m - 5. What is the smallest common multiple of z and b(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = h + 1. Let z(c) = c**2 + 12*c - 9. Let q be (-3)\/(-2)*(8 - 6). Let d(x) = q*l(x) - z(x). Let k be d(-10). Are 4 and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1 - -c30?\nAnswer: c31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 21\/5, 2\/17, -5, -1?\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (sqrt(56) + -6*sqrt(280)\/sqrt(5))\/((sqrt(8) + (sqrt(8)*4 - sqrt(8)))*1)*-1.\nAnswer: 3 + 5*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 220 + -192. Let h(r) = -y*r**3 + 33*r**3 - 16*r**3 - 3*r**2. Let j(n) = 56*n**3 + 16*n**2. What is -16*h(t) - 3*j(t)?\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1318000?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1093 + 5407 = 3*v. What is the hundreds digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -85\/6681464 and -85\/703312?\nAnswer: 13362928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = 27*n - 1. Let p(k) = 81*k - 4. Give -7*c(a) + 2*p(a).\nAnswer: -27*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = d**3 - 7*d**2 - 8. Let q be t(7). List the prime factors of 4\/q*2 + 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 120*b + 630 = 138*b. What is the remainder when 14382 is divided by b?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 plus 0.2114?\nAnswer: 0.4114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) be the first derivative of 1\/3*r**3 + 1\/2*r**2 - r - 1. Calculate the smallest common multiple of b(2) and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 divided by 85476493\nAnswer: 5\/85476493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 6 - 12. Let j be -1 - -2 - (s + 5). Let x(h) = -3*h**2 + 4*h**2 - 7*h + j*h. Give x(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -9 - -281027?\nAnswer: 28101b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 50.25645 + -160\nAnswer: -109.74355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 14 - m + 6 - 21 + 2*m**3 + (-4*m + 5*m + 0*m)*(2*m + m**2 - 2*m) to c*m + s*m**2 + j*m**3 + z and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -93491\/51996 + 15\/619. Let t = 6379 + -11990. Let s = 67193\/12 + t. What is the common denominator of z and s?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 51*q - 87010 = 29*q. What are the prime factors of q?\nAnswer: 5, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 * -352\nAnswer: 1760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 2*y**3 + 12*y**2 + 6*y - 3. Let k be w(-5). Calculate the greatest common factor of 136 and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5 by 1475886.\nAnswer: -5\/1475886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -3\/55 and 18\/13.\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 4922927 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4195\/6 - 700. Let d = -0.21 + -7.79. Let q = -4 - d. Put -30, q, o in decreasing order.\nAnswer: q, o, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*i**3 - 5*i - 5*i**2 - 9*i + i + 7*i**3 - 2 to the form p*i + y*i**2 + m*i**3 + c and give p.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 40\/6*((-969)\/(-68))\/(-19)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 31854196 + 0.\nAnswer: 31854196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -g**3 - 29*g**2 - 38*g + 45. What is the tens digit of t(-28)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 200658?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 8321849 and 307?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 325, 652, 991, 1348, 1729, 2140, 2587?\n\"Answer: o**3 + 320*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 68\/(-238) + (-9)\/(-7). Let a(u) = -30*u - 14*u**2 + 17*u + 13*u - z. Let j(v) = -2*v. What is j(a(n))?\nAnswer: 28*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (1 - 2 - -2)*5. Suppose 0 = -o*d - 15, -7*m - d = -3*m + 23. Let t = 1 - m. What is the lowest common multiple of 2 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor q**3\/11 - 21*q**2\/11 + 147*q\/11 - 343\/11.\nAnswer: (q - 7)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 349675\/25 + (-16 - -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (73\/((-40880)\/(-96)))\/((-3)\/((-60)\/(-2)))?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2081 is divided by 189.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4024.4 + -4024. Which is the nearest to 3?  (a) -3  (b) 2\/11  (c) 3  (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in one fifth of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -51*n + 67*n + 64 = 0. Sort 16, n, -2.\nAnswer: n, -2, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-one fifths of a microsecond in nanoseconds?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = w**2 + 12*w + 13. Calculate d(-17).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express 5 + 2 + 2 + n - 5 as x*n + s and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 17.9 in 127, -11\/7, 3\/4, -0.3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = -20*l - 25. Put -1, -3, 5, l in ascending order.\nAnswer: -3, l, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from kkrrjjykjkjkyjjjjyjj.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -4*i + 15. Suppose 3*l - 21 = 2*v, 0*v + 3*v + l = -15. List the prime factors of u(v).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -13, 5, -85, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 829 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ndn when three letters picked without replacement from {n: 1, d: 11}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -1  (b) -3  (c) 5\/17  (d) 0.2  (e) 57\/22  (f) -4  (g) 0\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = n. Let u be 2*(15\/(-6) - -4). Let i(h) = -5*h - 10. Let s(w) = u*l(w) + i(w). What is the derivative of s(t) wrt t?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.010986 to three dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*k + 6*k - 2*k)*(-2*k - 18 + 2*k - 2*k)*(1 + 0 + 2)*(-1 + 3 + 15).\nAnswer: -204*k**2 - 1836*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = q**2 + 8*q + 21. What is s(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (52\/(-130))\/(8\/(-30)*-3)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0003608 to five decimal places.\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 71608 a multiple of 135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) be the third derivative of 89*n**4\/24 + 365*n**2 - 2*n. Let p(d) = 4*d**2. Give w(p(c)).\nAnswer: 356*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -3\/11, -3\/2, -0.3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = 8*d - 2. Let o(r) = 0 + 15*r - 3 - 6*r. Give 3*l(b) - 2*o(b).\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:10 AM and 5:30 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.447 + -5?\nAnswer: -7.447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**(-5)*i\/i**(-2\/3)*i**(-2)\/(i*i**(-1)*i)*(i**(-1\/4)*i**0\/i)\/((i**5*i)\/i*i*i*i\/(i\/i**(1\/4)*i*i*i)*i*i) assuming i is positive.\nAnswer: i**(-83\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2*(-87)\/18*(-21)\/(-2352)*84?\nAnswer: -29\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 78497 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 7882471, 15764943, 23647415, 31529887, 39412359, 47294831?\n\"Answer: 7882472*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 401 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9128 is divided by 2978?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 30883 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -a**3 - 509*a**2 - 1273*a + 714. Determine h(-3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = f + 17. Let l be v(-6). Let t(h) = l + h - 26 + 22. Let c be t(-9). Sort -2\/9, -1, 0.2, c.\nAnswer: c, -1, -2\/9, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = j**3 - 3*j**2 + 2*j - 7. Let s(i) = -i + 1. Let c(b) = g(b) - s(b). Let x(t) = -4*t. Let a be x(-1). What is the tens digit of c(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) be the second derivative of p**7\/14 + p**6\/5 - 3*p**5\/5 - 2*p**4 + 469*p. Determine w so that q(w) = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 480236368?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ssss. Give prob of picking 3 s.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/(168\/(-147))*(-3)\/(-7)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 9, l: 5}. Give prob of sequence ttt.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -137\/48630 and 121\/37960.\nAnswer: 184599480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 635291423 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 10*v = -21. Suppose 0 = -d + 3*d + h - 10, v = 5*d - 3*h. What is the highest common divisor of 3 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*r**3 + 1978*r - 8063*r - 2883*r - 2*r**3.\nAnswer: 2*r**3 - 8968*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2146 (base 9) to base 11.\nAnswer: 1208","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1057751243 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 17, w: 3}. What is prob of picking 3 f?\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4.5 + 4.5. Which is the nearest to u?  (a) 3  (b) -1\/5  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -6*f**2 + f - 17. Let r(y) = -18*y**2 + 4*y - 48. What is 3*r(j) - 8*u(j)?\nAnswer: -6*j**2 + 4*j - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k**(-1\/8)\/(k**2\/k))\/((k\/k**(-1))\/k*k*k)**(-36))**(-35))**(-2\/33) assuming k is positive.\nAnswer: k**(9975\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-51)\/(-9) + 1\/3. Let c = 8 - i. Is 14 a factor of (-2 + 9)\/(1\/c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1755 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -10776.3 - -10776. What is the biggest value in j, -179.8, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-3770345)\/39172)\/5 + (-8 - -10). Let z = w - -2\/9793. Which is greater: -17 or z?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) be the third derivative of 533*a**5\/30 + 841*a**3\/6 - 78*a**2 - 5*a. Differentiate v(b) wrt b.\nAnswer: 2132*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 39313 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 48 + (-2 - (-11 + 42)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 158609 is divided by 52492?\nAnswer: 1133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*p**2\/2 + 243*p\/2 + 2262.\nAnswer: 3*(p + 29)*(p + 52)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1657 is divided by 1318.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 3977 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/8 of a kilogram in grams?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 420 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0507114163 to 4 dps.\nAnswer: 0.0507","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 2794650925 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 9.579216 months?\nAnswer: 0.798268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 4099949897 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4608?  (a) 0.108  (b) -2  (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 7.63204 - -93.36326. Let o = r - 101. Round o to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.51 + -0.31. Which is the closest to -1?  (a) 0.5  (b) p  (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -x - 52 + 46 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) be the second derivative of p**6\/120 + p**3\/2 - 7*p. Let u(q) be the second derivative of z(q). Let g(n) = -5*n - 1194 + 1194. Determine u(g(d)).\nAnswer: 75*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 30, -1\/3, -2\/3, -0.5, -8?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -18194, -36331, -54474, -72623, -90778, -108939, -127106?\nAnswer: -145279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -19.7 and 201?\nAnswer: 220.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3974?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1, 36, 61, 70, 57?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*h - 18 = -2. Suppose 7*g + 5*m = 2*g + 10, -m + 2 = -3*g. Solve 6*a - 3*a - h*p + 9 = g, 15 = -5*p for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -3887, 13, -1\/5, 0.02 in ascending order.\nAnswer: -3887, -1\/5, 0.02, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39*u - 43*u + 356 = 0. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4036*r - 830*r - 1815*r + 1380*r.\nAnswer: -5301*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 439 minutes after 10:28 PM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/g**14)\/g**6 assuming g is positive.\nAnswer: g**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 5 - -280?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*s - 3*n = 32, 4*s + 4 = 4*n - 0*n for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) 1\/3  (b) -26724  (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 2*s - 12. Let r be 15\/(-30)*(0 + -20). Determine b(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 51 + -89 - (-21 - -1)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t = 5*j + 5*t - 102, -4*j - 3*t = -81. Suppose -c = w + 4*w + 30, -3*w + 4*c - j = 0. List the prime factors of w\/(-27) - (-86)\/18.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 4\/16 + 54\/8. Factor 0 - 2*r**4 + 6*r - 2*r**2 - 3 + w - 6*r**3.\nAnswer: -2*(r - 1)*(r + 1)**2*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 22 + 7 + (-33 - -18)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y**4 - 288348*y**3 - 6857708682*y**2 + 3412377993780*y - 420147354105675 = 0. Calculate y.\nAnswer: -48303, 245","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f - 3*f + 57 = 0. Let o = f - 12. Suppose 0 = o*j - 4*j - 24. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 0, 2\/13, 3\/2, -6, 61814 in descending order.\nAnswer: 61814, 3\/2, 1, 2\/13, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 652 minutes after 1:30 AM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 60595976 to the nearest integer?\nAnswer: 7784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -362, 0, -4 in descending order.\nAnswer: 0, -4, -362","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1399*a + 15*c = 4*c + 6*c - 2109 - 1753, 4*c - 274 = -2*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 3, t: 3, i: 3, z: 1, o: 3, a: 2}. Give prob of picking 3 t.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 - -1857228429.0563.\nAnswer: 1857228434.0563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = r**3 + 6*r**2 + 15*r + 89. What is n(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {k: 4, y: 1, p: 12, s: 3}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Determine p so that 3*p**2\/2 + 6*p - 15\/2 = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 8 + -2. Let b = q + -6.3. Let h = -43\/44 + 8\/11. Is h >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -104 and 2196304.886?\nAnswer: 2196408.886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*z - 23 - 9706*z**2 + 9707*z**2 + 4*z to the form f*z**2 + u*z + h and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 64 (base 13) in base 2?\nAnswer: 1010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -348 + 41*u**4 + 2*u + 241 + 0*u**4 - 2*u wrt u?\nAnswer: 164*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (1\/(-2))\/((-2)\/4). Let w(z) = -5*z**2 + 3*z. Let s(x) = x. Let l(o) = p*w(o) - 3*s(o). Let q(k) = 2*k. Give q(l(m)).\nAnswer: -10*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 141823 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -r**2. Let x(g) = -11*g**2 - 346. Calculate x(q(h)).\nAnswer: -11*h**4 - 346","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -858*c**3 + 404*c**3 + 422*c**3.\nAnswer: -32*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*j - j + j + 7057*j**2 - 7016*j**2.\nAnswer: 41*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 9}. What is prob of picking 3 l?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 121 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2*(-6)\/(-36)*21. Let y(g) = 7*g - 47. Let h be y(d). Solve o - h = -o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*p = -5*p - 4040. List the prime factors of (-2)\/6 - p\/(-12).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2854*r + 2854*r - 230*r**2 + 114.\nAnswer: -230*r**2 + 114","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000049072 rounded to 7 decimal places?\nAnswer: 0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -16*f**3 - 2*f**2 + f + 2. Let l be (-20)\/14 - (-6 - 195\/(-35)). Calculate the remainder when w(l) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2570121040?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 12 + -12.1. Let p = -0.09 + -0.11. What is the closest to p in 5, i, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*m = 4*m - 8 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 76.1 * 2\nAnswer: 152.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -72 smaller than -644\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 35827 to the power of 1\/2, to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) be the third derivative of 7*s**6\/120 + 11*s**3\/6 - s**2. What is the derivative of f(j) wrt j?\nAnswer: 21*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2.8 - 3. What is the third biggest value in z, 5, -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 28839 is divided by 57?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -103 + 106. Solve 0*u = -u - n for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -701*t = -20420 - 5517 for t.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4649252.\nAnswer: 2, 337, 3449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 53 + -58. Which is the biggest value?  (a) 11  (b) l  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 73825419?\nAnswer: 3, 577, 42649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yyigigyyyzzzy. What is prob of picking 2 g?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) be the second derivative of 0*z**2 + 0 + 1\/6*z**3 + 4*z. Let l(w) = 3*w**2. Give j(l(o)).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-16)\/(-1) + (451 - 468))\/(3\/99*-1).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3325 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2584 - 608 = 485*p - 7239 for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7236114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 20 - 16. Suppose -3*i + 3*s = -0*i - 30, g*i - 3*s = 35. Solve 0*a - 5*a + 3 = -y, -4*y + 13 = i*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 463 - 463.594. Let o = -13.456 + k. Let w = 14 + o. Which is smaller: w or 1\/4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 2*q**2. Let u(k) = k**2 - 13 + 3*k**2 + 13. Determine u(l(t)).\nAnswer: 16*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -50 - -51. Is n > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1245941*o**3 + 2306349*o**3 - 109787*o**3.\nAnswer: 3442503*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 - 2 + 2*j**2 + (j - 6*j + 3*j)*(13*j - 9*j + 4*j) + 2*j**2 + j**2 - 5*j**2.\nAnswer: -16*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**9\/k**(-6)*((k*(k*(k\/(k\/k**(-3)))\/k)\/k)\/k)\/(k**(-5)*k) assuming k is positive.\nAnswer: k**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -70338110 to the nearest 100000.\nAnswer: -70300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 15646 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 16144973 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b - 18 = -5*x, -5*b + 22 = 3*x + 5. Suppose 0 = t + 3*d - 7 - b, -4*t - d = -87. Calculate the highest common divisor of t and 161.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -6  (b) -4\/5  (c) -5  (d) 2\/9  (e) 90\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -367*r = -354*r - 39. Solve 2*v - 4 = -r*b + 13, -v + 19 = 5*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*r + r + 3*r + (-2 + 3 + 0)*(2*r - 2 + 2) - 16 + 16 + 5*r.\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*m - d + 5, -2*m + 5*d = -245 + 270 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 8 + -2 - ((16 + -21 - -19) + -18)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 237 is divided by ((-64)\/(-8) - 8) + (16 - 0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -71488 (base 9) to base 10\nAnswer: -47060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -182*b**5*f - 16*b**2*f + 4*b**2 wrt b?\nAnswer: -10920*b**2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Do -1 and 126\/1734907 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) be the second derivative of 0 + 3*k - 1\/126*k**7 + 0*k**5 - 1\/30*k**6 + 0*k**3 + 1\/9*k**4 + 0*k**2. Factor v(z).\nAnswer: -z**2*(z - 1)*(z + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = 2*z**2 + 36*z - 716. What is the lowest common multiple of 610 and d(12)?\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 42413 - 2862. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 42 + -9. Suppose 7*o - 4*o = 3*t + 87, -5*t - b = -o. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3*d**4*y - 176*d**4 + 90*d**3*y + 40*d**3 - 55*d**2*y - 2*d*y + 2214114*y wrt d.\nAnswer: -72*d*y - 4224*d + 540*y + 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 3*d + 3. Let l be j(5). Let y = l + -20. Put -3, 1, y in decreasing order.\nAnswer: 1, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 565*f**2 + 515*f - 815. Let z(o) = 45*o**2 + 43*o - 68. Let g(p) = 2*q(p) - 25*z(p). Solve g(w) = 0.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 195257 and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 = h - 4*u, -36*u + 37*u - 3 = h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 272 a factor of 12165894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -43 + -4461607?\nAnswer: -4461652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.6 + -68.6. Let i = 98 + l. Let q = i - 29.99999964. Round q to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1ca3 - -1a?\nAnswer: 1cc0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor v**2\/4 - 1502829*v\/2 + 2258495003241\/4.\nAnswer: (v - 1502829)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 158496.\nAnswer: 2, 3, 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert -31200 (base 6) to base 4.\nAnswer: -1001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3\/7 - -1\/14. Let g = -0.08 + -0.02. Let t = -1 - -2. Which is the biggest value?  (a) t  (b) g  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -2*l**2 + 13*l + 26. Determine n(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:23 AM and 8:07 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 1 r when two letters picked without replacement from oqrsf.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 207174961, 207174960, 207174959, 207174958?\nAnswer: 207174957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.04 and 12.\nAnswer: 0.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 118*j - 783 = 43 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 - (1 + -1 - -4 - (-3 + 6)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4*47\/2)\/14)\/(171\/(-1197)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -179 - 12*c + 61 + 47 + 70.\nAnswer: -12*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oniscif. What is prob of picking 1 s and 1 c?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -467*v - 2803. Determine p(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k + 3*t = -48, 0 = 4*k + 327*t - 322*t - 37 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 1 o when two letters picked without replacement from {g: 3, e: 2, o: 4, f: 3, a: 2, p: 1}.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-3*1)\/((-3)\/(-2)). Let a(y) = -4483*y - 1. Let d be a(i). Let x = d - 3365. What is x rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ytf when three letters picked without replacement from {y: 2, c: 3, f: 4, t: 2}?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*k - 17*k = 2*s - 866, 3*k + s - 1293 = 0. What are the prime factors of k?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1423?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5316432 (base 7) to base 14.\nAnswer: -12a652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) be the first derivative of 4 + 0*r + 1\/2*r**2. Let z(q) = -41*q**2. Give z(k(y)).\nAnswer: -41*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -5*h**3 + 29*h**2 - 32*h + 56. What is j(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.098 in 2, -3, -0.4, -37\/10, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-5)\/(-2) + -3)*-58. Suppose 0 = 3*q + b - 24, w = 2*q + 7*b - 2*b. Let r = q - -30. Calculate the remainder when r is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 2 + 2*d**2 - 5 - 4651*d + 4651*d + 6.\nAnswer: 2*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-267*c - 357*c - 57*c)*((4 - 6 + 3)*(-2*c**2 + 6*c**2 - 2*c**2) + 4*c**2 + 0*c + 0*c).\nAnswer: -4086*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1988592880?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-46 - -51) + (-4 + 4 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (297\/(-84))\/(2262\/2639)\nAnswer: -33\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*r**2\/4 - 6189*r - 12767907 = 0 for r.\nAnswer: -4126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Product of 3 and 2.8.\nAnswer: 8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 16.38 - 16. Let a be (200\/900)\/(1\/(-19)) - (-44)\/198. Sort 5, a, c, 1\/8.\nAnswer: a, 1\/8, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-36087)\/36610 - (-18)\/15.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 375644 (base 16) to base 12.\nAnswer: 126a858","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 9617, -0.5, 1\/2, 2\/5, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = b - 4. Let g be (1\/b)\/(6\/312). Let s = g - 16. Calculate the remainder when 29 is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.31  (b) 5  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 1, -0.38, 1.3?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.5 and 0.0189?\nAnswer: -0.00945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -687425 divided by 4435?\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t**5 - 5408*t**4 - 382316*t**3 - 5156224*t**2 - 10773552*t + 16317504 = 0. What is t?\nAnswer: -1278, -57, -14, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = z - 6. Let n be f(7). Is -2\/9 <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -36*r - 501 + 7*r - 11*r.\nAnswer: -40*r - 501","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) be the first derivative of 0*c**2 + 0*c - 9 + 2\/3*c**3 - 1\/4*c**4. Find the third derivative of k(l) wrt l.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -l + 4*l + 2*l + 6. Let x be w(-7). Let j = 48 + x. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d + 1059 = 9*d + 16098. Suppose 0 = k - 2*k - 497. Let x = k - d. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 1355\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -7*d - 5. Determine z(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -324466903*z**5 + 545771491*z**2 wrt z?\nAnswer: -19468014180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2 - -1. Suppose 3*h - 6 = -u*i - i, -2*h + 2*i - 10 = 0. Calculate the smallest common multiple of 20 and (-1 - -2)\/(h\/(-4)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 6 + -14. Let s(t) = -2*t - 8. Let x be s(z). Solve -2*f - 9 = -3*y, -2*y + x = f + 2 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 15 - 17. Suppose -2*n + 5 = 4*g - 13, -2*n = -g - 3. Let a(w) = -2*w - 5. Let j(t) = -t - 4. Determine n*j(l) + z*a(l).\nAnswer: l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2\/(-8) + (-1624)\/(-160). Let l = s - 10. Put l, 3, -2\/3 in decreasing order.\nAnswer: 3, l, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -455*g**4 - 5975*g**3 + 12890*g**2 + 2060*g - 600 = 0. What is g?\nAnswer: -15, -2\/7, 2\/13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 296 divide 3572720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4077 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -1*(-5 + (-6)\/(-2))*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2  (b) 0  (c) -30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*g + 9 = 5*v - 20*g + 8*g, 0 = 4*v - 3*g - 105 + 96 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -39 - -48. What is the highest common divisor of c and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 4331 - 4325. What is the highest common factor of 1182 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = d**3 + 7*d**2 + 4*d - 6. Let o(g) = 7*g + 2. Let i be o(-1). What are the prime factors of f(i)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 780 is divided by 378.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 67 + -105. Let d = g - -38.00048. What is d rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10628 * -48\nAnswer: 510144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 2178 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2078.\nAnswer: 2, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2\/6855 + 20569\/13710. What is the fourth biggest value in 27\/7, -0.7, -3\/7, r?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.46 + -19.46. Let h = a + 6. Which is bigger: h or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = o + 4 - 2 - 7 + 2*o. Let y(l) = l**3 - l**2 + 2*l - 11. Let r be y(0). Let f(s) = -5*s + 9. Calculate r*j(d) - 6*f(d).\nAnswer: -3*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h + 3*m = 1, 3*h - m - 13 = -2*h. Let o(z) = -z**2 - 8*z - 1. Let j be o(-7). Suppose -9*b = -8*b - j. Solve b = -h*g - 0*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 588*i**4 + 33981*i**3 - 774158020*i**2 wrt i.\nAnswer: 14112*i + 203886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Add -36936891395 and 2.37.\nAnswer: -36936891392.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in 0.04, 1\/5, 1\/8, 19\/13, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 100, 174, 222, 220, 144?\n\"Answer: -4*t**3 + 11*t**2 + 69*t + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -5*q**3 - 2*q**2 - 5*q - 6. Let d(g) = g**3 + g + 1. Give 4*d(o) + f(o).\nAnswer: -o**3 - 2*o**2 - o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -3378, -6756, -10134?\n\"Answer: -3378*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1395 - -1398. Solve b + 1 = -2*r + h*r, 2*b = -3*r + 13 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5)\/(-15*16\/144).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 665295 a multiple of 551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (11\/(-3) + 3)*-3. Suppose 2*x = 4 + 28. Suppose -46 + x = 3*r. Sort i, r, -1.\nAnswer: r, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -a814 + 0?\nAnswer: -a814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 2*w - 5*t = -100, 0 = 3*t + 12. Let i = w + -13. List the prime factors of 6\/i + 50\/18.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (2\/(-111))\/((-44)\/(-33)). Let j = -373\/222 - k. What is the fourth biggest value in -2\/11, -7, j, 0?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -2*u + 14. Let w(s) = 30 + 14 + 28 - 101 + 4*s. Calculate 7*c(i) + 3*w(i).\nAnswer: -2*i + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -16578, -66342, -149284, -265404, -414702, -597178?\nAnswer: -812832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 5*m + 29. Let s(i) be the first derivative of -i**2\/2 - 7*i - 9. Calculate -2*k(w) - 9*s(w).\nAnswer: -w + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4618, 9204, 13790, 18376, 22962?\nAnswer: 27548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 1, v: 1, c: 1}. What is prob of picking 1 v and 1 w?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -2\/5, 0.2, 0.1.\nAnswer: -2, -2\/5, 0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 21862184 to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 0 + -23560021?\nAnswer: -23560021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 4*a**2 + 34*a - 24. List the prime factors of s(-10).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -992, -968, -944, -920?\nAnswer: -896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 101\/14 and 101\/1638014?\nAnswer: 1638014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) 2  (b) 1  (c) -29  (d) -64  (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -23*j**2 + 5*j + 5. Let g(f) = 851*f**2 - 184*f - 184. Determine 5*g(d) + 184*w(d).\nAnswer: 23*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 9 = d, -d + 11 = -28*f + 33*f. What is the lowest common multiple of f and 281?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = g**2 - 12*g - 1. Let j(p) = -2*p**2 + 25*p + 2. Let b(k) = 3*j(k) + 7*v(k). Does 9 divide b(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -j + 5*a, -2*j + 12 = j - 3*a. Let f(w) = -w**3 + 8*w**2 + 5*w - 8. Let u be f(j). Solve 4*y + 3*n = -u, 0*n = -y + 2*n + 3 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -14 + 22 + (-3 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by -52.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 8078 = 3*f, j - 4*f = 6*j - 20202. Is 59 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/5?  (a) -4  (b) -0.3  (c) -8.1  (d) 0.47  (e) -0.114\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = r**3 - 4*r**2 + 4*r - 2. Let z(a) be the first derivative of a**4\/4 + 5*a**3\/3 - a**2 - 7*a + 1. Let t be z(-5). What is m(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 10705, 45524, 103555, 184798, 289253, 416920, 567799?\n\"Answer: 11606*q**2 + q - 902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h = -q - 10, q + 7 + 12 = 5*h for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/(x*x**(-2\/37))*x)\/(x*x\/((x**(-2\/11)\/x)\/x))*((x**(-3)*x)\/x)**(-4\/11) assuming x is positive.\nAnswer: x**(-829\/407)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 0, -9, 12, 6 in decreasing order.\nAnswer: 12, 6, 0, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-5)\/(20\/(-3))*4. Let u(m) = -4*m**3 + 4*m**2 + 2 + 2*m**3 - m**o + 2*m**3. Calculate u(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g = -68 - 407. Let s be 1\/(4 - g\/(-24)). Let d be 3*3*s\/108. Solve -d*r = -1 + 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2329*p + 7*r = 2326*p + 2*r - 94, 5*r = 2*p + 46 for p.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 5006945 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 32403952621 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 18, -2, 10, -4 in descending order.\nAnswer: 18, 10, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*i - 26 + 26. Solve y + i*y = 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -0.1, 6785.3, -14 in increasing order.\nAnswer: -14, -3, -0.1, 6785.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3343 + -3338. What is the closest to -3 in j, 9\/5, 11?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -27*123\/(-41) + 21?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -61*q**2. Suppose -118*s = -112*s - 3762. Let i(p) = 623*p**2 - 1255*p**2 + s*p**2. What is i(n(b))?\nAnswer: -18605*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -435.09 - -440.09. What is the third smallest value in 0.69, y, 0.1, -2\/5?\nAnswer: 0.69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1598 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -10*x**3 + 12*x**2 + 5*x. Let n(o) = -4 + 5 + 18*o**2 - 1 - 15*o**3 + 7*o. Let s(t) = 7*j(t) - 5*n(t). Find the third derivative of s(g) wrt g.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 167 minutes before 3:33 AM?\nAnswer: 12:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 12 = -38. Let s = 3 + l. Let d(j) = -j**3 - 11*j**2 - 9*j + 18. Calculate the remainder when 46 is divided by d(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -6.59 - -1.59. Let d = -0.21 + 0.2. Let s = d - -2.01. Which is the closest to s?  (a) 0.1  (b) n  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-61*j + 52*j + 69*j)*(-5 - 1 + 1)*(-5 + 7 + 19) to the form s*j + x and give s.\nAnswer: -6300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-24)\/33)\/4 - (-42)\/110.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = b**2 + 42*b + 86. Give q(-40).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 193445?\nAnswer: 5, 7, 5527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = w**2 + 6*w - 2. Let s be q(-7). Suppose 3 = i + 3*i + 3*b, 2*b - 2 = s*i. What is the second derivative of 4*j**2 + 0*j**2 + i*j**2 + j + j wrt j?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express ((6 - 3 - 2)*(-1 + 3 + 0) - 1 + 3 - 1 - 12 - 18 - 16)*(l - 2*l - 2*l) in the form s*l + y and give s.\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -28377398, -28377399, -28377400?\n\"Answer: -b - 28377397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-1)\/(-2))\/(7\/28). Are 5\/6 and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 7208238?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 320 minutes before 2:47 AM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.909 and 22007282413?\nAnswer: 22007282412.091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 15\/(-10)*(4 - 6). Suppose -10*z - 4*f - 2 = -9*z, -5*f + 8 = c*z. Let y(n) = 4*n - 4. What is y(z)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -42*k + 45*k - 9 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 201*c + 200*c - 424*c + 207 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 145202 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 43332213 to the nearest integer?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express -51*r**3 - 2*r**2 + 222*r**3 - 49*r**3 + 2*r - 4 as s*r + x*r**3 + m*r**2 + n and give x.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -928*p - 168 = -886*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 96*a + 1424. Give h(-21).\nAnswer: -592","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w = -k + 79, -1 = -w - 4*k - 0. List the prime factors of w*((-2)\/(-4) + (-216)\/(-16)).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 418722 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*h + 1 = -2*u, 2*u + 275*h - 271*h = 2 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -35*v**2. Let n(r) = -2*r**2. What is n(i(z))?\nAnswer: -2450*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1197680 and 36.\nAnswer: 10779120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bt when two letters picked without replacement from bozgbzzztzzztbgzzzi?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (q - 7*q + 3*q)*(0*q + 3*q - 5*q) - 28*q**2 + 34*q**2 + 40*q**2 - 3 + q**2 + 3 in the form u*q**2 + w*q + b and give u.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (-1 + 2 - (-6 - -3)) + 0\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-k + 4*k - 4*k)*(-3*k**2 - k**4 + 3*k**2) - 42*k**5 + 39*k**2 - 39*k**2.\nAnswer: -41*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 10.8  (b) -46  (c) 3  (d) -1  (e) 2  (f) 0.2  (g) -93\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 2*l - 238 = 0, 3*l = -2*c - 0*c + 234. Let g = 262 - c. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 64*f**4*i - f**4 + 3*f**3*i - 4*f*i + 52 wrt f.\nAnswer: 768*f**2*i - 12*f**2 + 18*f*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*k**2 + 3*k**2 - 37*k**3 + 82*k**3 + (-131 - 28*k**2 + 131)*(-2*k - 2*k + 2*k) as d*k**3 + r*k**2 + s*k + z and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2*n**2 - 141*n - 2634 wrt n?\nAnswer: -4*n - 141","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10 - -1001000111?\nAnswer: 1001000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) be the third derivative of -c**7\/105 + 1573*c**5\/60 - 17*c**4\/12 - c**3\/6 - 703*c**2 + c. Find the second derivative of m(w) wrt w.\nAnswer: -24*w**2 + 3146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-22)\/(-2))\/(-77) - ((-1356)\/28)\/3?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) be the first derivative of 0*s + 3*s**3 - 14 + 0*s**2 + 1\/1080*s**6 + 1\/72*s**5 + 0*s**4. Let g(u) be the third derivative of y(u). Factor g(i).\nAnswer: i*(i + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*j**3 - 10*j**2 + 10*j**3 + 0*j**2 - 3*j**3 wrt j.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 92174235 a multiple of 2311?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rkskzqrrkkzkz. What is prob of picking 3 z?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -u - 12. Let f be b(-12). Suppose 0*s - 2*s = f. Suppose s = -5*c + 12 + 38. Solve 0*z = 5*g - 5*z - c, 0 = -5*g - 2*z - 4 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wgf when three letters picked without replacement from fdwgmgkfkfwk.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1104250244 - -5?\nAnswer: -1104250236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -3*f**3 + 3*f**2 - 4*f + 3. Let s be c(2). Let x = s + 19. Solve h = -x*r + 14, 4*h - 5 = 2*r + 1 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from rgrrrrrrrgrgrrr.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - 5*h + 165 = 524, 3*l = -3*h + 327. Let s = 718 - 689. What is the remainder when l is divided by s?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 336 and 236891970?\nAnswer: 1895135760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*r + 8*r - r)*(3 - 4 + 0) + (0 - 2*r + 0)*(4 - 3 - 3) - 788 - 29*r + 788 + 0*r - 2*r + 0*r.\nAnswer: -28*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*o**3 - 19033 + 19018 + 0*o**3.\nAnswer: 2*o**3 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Determine u, given that -5*u**3 + 77314040*u**2 + 5*u - 77314040 = 0.\nAnswer: -1, 1, 15462808","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Product of -329 and 0.01.\nAnswer: -3.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 7, -32, 9724.\nAnswer: -32, -5, 7, 9724","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 930.6 to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -154 = -3*u + 20. Suppose -37*l + 48*l = 2541. What is the remainder when l is divided by u?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -m**2 + 5*m + 5. Let t = 7 - 2. Let f be d(t). Suppose -49 - f = -2*h. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 35320 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: What are the prime factors of 4033533552?\nAnswer: 2, 3, 23, 347, 10529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5 - 47*t**2 - 89*t**2 - 12 + 22*t**2 to the form p + h*t + g*t**2 and give p.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 233690601 to the nearest integer?\nAnswer: 616","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) be the second derivative of f**4\/3 - f**3\/6 + f. Let y be 2 + 54\/(-42) + 2\/7. What is p(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -161 times 0.13\nAnswer: -20.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -5 - 428a42?\nAnswer: -428a47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4 and 1946.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rxrpk. Give prob of sequence krxr.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = b - 101 + 83. Calculate the least common multiple of b and 14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 622, 2601, 5940, 10639, 16698, 24117?\n\"Answer: 680*t**2 - 61*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -18 - (-110 + 97 + (4 - 18))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 3\/((-6)\/(-32)) - 0. Suppose 0 = -215*r + 214*r + 27. Let o be (r\/(-6)*48\/18)\/(-2). Solve w = -5*z + o for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 81784 and 81784.\nAnswer: 81784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 796390.\nAnswer: 2, 5, 7, 31, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wddddwddwdd. Give prob of picking 1 w and 2 d.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000004611978 to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12341 is divided by 1304.\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2 - 2. Let x = 0.24 + 0.26. Let q = -0.1 + x. Which is the second smallest value?  (a) q  (b) 5  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 46*o - 8. Let d be (72\/28)\/(60\/28 - 2). Let l be 3\/9 - (-12)\/d. What are the prime factors of q(l)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = a**3 - 5*a**2 + 3*a + 4. Let m be o(4). Let t be 43374\/36 + m\/(-1). Let f = -1196 + t. Calculate the common denominator of 85\/18 and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 271331?\nAnswer: 23, 47, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -19225 - -21461. Calculate the remainder when q is divided by 59.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10040 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2 + (-32)\/(-14))\/((-324)\/189). Which is the biggest value?  (a) l  (b) -2\/269  (c) 0.059\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.02 plus 656.5125?\nAnswer: 656.4925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.781 times 48?\nAnswer: 133.488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 87768.99999953831 + -87769. Round f to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5402?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*n + 6*n - 3*n)*(5 + 1 + 1)*(2*n**3 - 6*n**3 + 2*n**3).\nAnswer: -42*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) be the third derivative of 2*y**2 - 1\/120*y**6 - 3\/20*y**5 + 0*y**4 + 0*y - 23\/6*y**3 + 0. Is w(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -n + 3*x + 3 - 17, 4*n = -5*x - 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Are -37933 and -37671 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l = -15 - 5. Suppose 53*t - 815 - 775 = 0. Let s = t + l. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 0 - (202\/120 - (-6)\/12). Let p = j - -23\/24. Calculate the common denominator of (-8)\/(-48) + (-682)\/60 and p.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -99b875a - -6?\nAnswer: -99b8754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j**(-9)*j)\/j)\/j**(-18))\/((j**(-11)\/j*j)\/j)**50 assuming j is positive.\nAnswer: j**609","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 + (-7 - (-10 + -5)) - 39.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + sqrt(19)*2 + sqrt(19) + sqrt(19) + -5 + (sqrt(304))**2 + (-2 + sqrt(19) + -1 - sqrt(228)\/(sqrt(24)\/sqrt(2))).\nAnswer: 4*sqrt(19) + 301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.003379209291 rounded to 7 decimal places?\nAnswer: 0.0033792","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) be the third derivative of -v**7\/630 - v**6\/180 + 7*v**5\/180 - v**4\/18 - v**2 + 14. Factor i(h).\nAnswer: -h*(h - 1)**2*(h + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -51013 - 5?\nAnswer: -51018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1015 + -995. What is the second biggest value in -0.4, -56, r, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2185*n**2*u**2 - 8*n**2*u - 7*n**2 - 2*n*u wrt u?\nAnswer: -4370*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -105 + 188. Suppose 361 = 3*i - w. Suppose -2*x + 3*t = -7*x + 270, -3*x + i = -t. Is 12 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 184 and 596.\nAnswer: 27416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -46 + 72. Suppose n - d - 46 = 0. What are the prime factors of n\/(-30)*60\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 47370?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 145949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 466 minutes after 5:21 PM?\nAnswer: 1:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-9)\/12)\/(-1*10\/8).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -110*m - 1095. Let n be i(-10). Put n, -12564, 1 in increasing order.\nAnswer: -12564, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 424 minutes after 7:02 AM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 189*z - 49321. Give b(261).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1888588 is divided by 177?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 49, -73668, -15 in descending order.\nAnswer: 49, -3, -15, -73668","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 11984058 and 324.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2 + 1. Let w be 2\/(-3) - (-14)\/q. Let n = w - 2. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14684167 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 647 minutes before 9:47 AM?\nAnswer: 11:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 871186 is divided by 87011?\nAnswer: 1076","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -9, 13, -16, -6 in descending order.\nAnswer: 13, -6, -9, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -919, -3527, -7875, -13963, -21791, -31359?\n\"Answer: -870*m**2 + 2*m - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*u**4 + 45*u**2 - u**4 - 41*u**2)*(1 + u - 1).\nAnswer: -5*u**5 + 4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 215134200?\nAnswer: 2, 3, 5, 107, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -2*g. Let v(o) = -o. Let y(t) = 6*u(t) - 11*v(t). Let m(s) = -2802*s - 20. Let c(w) = 34160*w + 244. Let f(r) = 5*c(r) + 61*m(r). What is f(y(l))?\nAnswer: 122*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 20, -0.3, 4\/21, 0.1, -6?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 1019, 1470, 2683, 5036, 8907, 14674, 22715, 33408?\n\"Answer: 63*m**3 + 3*m**2 + m + 952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 279?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -13908c (base 13) to base 2.\nAnswer: -1110100011011000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 1829133, 3658281, 5487429, 7316577, 9145725, 10974873?\n\"Answer: 1829148*q - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = p**2 - 12*p + 6. Let w be m(9). Which is greater: -23 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 215013 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*b + 1616*w = 1620*w - 184, 0 = 10*b + 4*w - 208 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 45406410485.451 less than 0.4?\nAnswer: -45406410485.051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -5 + 10 - (1 + 1). Solve 0 = w*f - 8*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -116 - -1046\/9. Let n(t) be the first derivative of 2\/15*t**5 - v*t**3 + 1\/6*t**4 - 1\/3*t**2 + 0*t - 1. Let n(s) = 0. Calculate s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) be the first derivative of -x**4\/4 + 2*x**3 - 3*x**2 + 4*x + 2. Suppose -2*n + 5*n = 102. Calculate the remainder when n is divided by b(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 3, q: 1, f: 1, m: 2}. Give prob of picking 2 m.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*t**2\/13 - 3162*t\/13 - 90016\/13.\nAnswer: -2*(t + 29)*(t + 1552)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g = -2 + 12. Suppose 3 + 1 = f. What is the smallest common multiple of g and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i**(-1))**(-24)*(i\/i**(-1\/4))\/(i\/i**2))**(-4\/3))**(2\/7) assuming i is positive.\nAnswer: i**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = r**2 - 13*r - 17. Suppose -5*u + 31 = 4*c - 22, -2*c - 3*u = -27. What is i(c)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -3*o**3 - 6*o**2 - 4*o - 12. Let r(l) = 6*l**3 + 13*l**2 + 8*l + 28. Calculate -6*r(z) - 13*y(z).\nAnswer: 3*z**3 + 4*z - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**1\/(g*g\/(g\/(g\/(g\/((g\/g**(-2\/5)*g*g)\/g)))*g)*g))\/((g\/((g**(-4)*g)\/g))\/(g\/(g*g**(4\/3)))) assuming g is positive.\nAnswer: g**(-131\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -0.8, 5, 0.04, 2\/9?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 27 + 72. Let w be 72\/(-21)*14\/(-4). Let k be -9*(-4 + (-40)\/w). Calculate the highest common factor of q and k.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13815144 a multiple of 768?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 29754593?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 65, 183, 351, 593, 933, 1395?\n\"Answer: 4*f**3 + f**2 + 87*f - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) be the first derivative of 26\/5*a**2 - 676\/5*a - 155 - 1\/15*a**3. Solve v(t) = 0.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*f - 4*n + n - 132, 142 = 5*f + 2*n. Let i be (f\/144)\/(2\/8). Is 1 > i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*x + 3*j - 27, 0 = -0*j + 2*j - 8. Let i(z) = -z. Let t be i(x). Let p be t - -9*3\/12. Which is the closest to -1\/2?  (a) -3  (b) p  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s = 2*g - 2032, -63*s - 3*g = -59*s - 1634. What is the greatest common divisor of s and 3131?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 68*j + 382 = -1159 - 23 for j.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3797338349?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*v**4\/3 + 85*v**3\/6 - 225*v**2\/2 + 2375*v\/6 - 3125\/6.\nAnswer: -(v - 5)**3*(4*v - 25)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Determine l so that 34620*l**5 + 415442*l**4 - 4085136*l**3 + 9554884*l**2 - 5919468*l - 342 = 0.\nAnswer: -19, -1\/17310, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 134 a factor of 4884623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*sqrt(77)\/(sqrt(11) + sqrt(22)\/sqrt(2))*6.\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.734296 take away 7.50246?\nAnswer: -2.768164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = a**3 + 7*a**2 + 8*a - 4. Let y be z(-5). What is the greatest common divisor of 15 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = v**2 + 4*v - 8. Let n be s(-6). Let z be 0\/((-8)\/n - -1). Suppose -u = -0 - z. Solve -4*g + u*g = -8 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*k + 69447 - 19497. What is the hundreds digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b + 0*f + 5*f - 5 = 0, 0 = -3*b + 3*f - 3 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 - 0 - (-1 + -15 + -10)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -1, -117, 0.036?\nAnswer: 0.036","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2666112 is divided by 382?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-26)\/4 + 2)*(-68)\/51. Let t be 1271960\/6 + b - (-4)\/6. Round t to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 1, o: 2, l: 1, y: 1, j: 1, r: 1}. Give prob of picking 2 y and 1 u.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 711161 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: What is the second biggest value in 3\/4, 3, 1, 55?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v - 284 = -317. What is the remainder when 39 is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 74 in -0.441, -3, 4, -0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*h**4\/9 + 2*h**3\/3 + 20*h**2\/9 - 8*h\/3 - 16\/9 = 0.\nAnswer: -2, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 61449815, 61449815, 61449813, 61449809, 61449803?\nAnswer: 61449795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 48011609?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j = -18*p - 828, 0 = -131595*p + 131592*p + 4*j + 6 - 144 for p.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1537 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*y**3\/4 - 103*y**2\/4 - 149*y\/2 + 34.\nAnswer: -(y + 4)*(y + 17)*(5*y - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 775, 922, 1069, 1216, 1363?\nAnswer: 1510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*v + 1 = 2*s - 2, -2*v = -s + 5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -3*(2 + (-2974)\/6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t + 2*t = -2*h + 18, -h - 1 = 0. Suppose 4*r - 25 = 115. What is the greatest common factor of t and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 27057441 (base 8) to base 12.\nAnswer: 203b341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 18\/5 + 4\/4 + -4\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2.56206 - 0.2281360851.\nAnswer: 2.3339239149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 222 - 212. Let t = 14 - x. Solve l = -t*l - 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 24113\/5 + -4800. Let n = h - 23. What is the second smallest value in 1\/5, -5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -529*s**4 + 533*s**4 - 1 + 2*s + 15 to the form y*s**4 + n*s**2 + r*s + a*s**3 + b and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1003602 (base 8) to base 14.\nAnswer: -6c33c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:45 PM and 7:33 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 1, 7, -6, 0, -1\/2 in decreasing order.\nAnswer: 7, 1, 0, -1\/2, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -4 + 0. List the prime factors of d\/6 + (-123)\/(-9).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (1\/(-7) - 44\/(-14)) + 1. Suppose y*j = 2787 + 105. Suppose -5*o = -2*r - 857, 5*o + 3*r - j = 129. List the prime factors of o.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -30, -170, -550, -1290, -2510, -4330?\n\"Answer: -20*t**3 - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -z - 3*a + 3, 2*z + 2*z - 3*a = -3 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 74 + -23. Let p be -1 - (-2)\/(6\/15). Suppose 0 = -p*g - s + 50, 30 = 3*g + s - 7. Calculate the remainder when o is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is u in 3*u**2\/4 + 233585*u\/4 + 77861\/2 = 0?\nAnswer: -77861, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.12 or -71.7?\nAnswer: -71.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 0, -1, -88, 18 in ascending order.\nAnswer: -88, -4, -1, 0, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 168 + 8 = f. List the prime factors of (-3)\/6*(-1 - (f - -1)).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 13*f - 6. Let o(g) = -18*g + 4 + 4*g + 3. Let x(h) = 5*l(h) + 4*o(h). Let j(d) = 4*d - 1. Determine -13*j(k) + 6*x(k).\nAnswer: 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*q**3\/11 + 18*q**2\/11 - 96*q\/11 + 104\/11.\nAnswer: 2*(q - 2)**2*(q + 13)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14913 = -57*b + 173586. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 23 and 1242.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 11 - (12 + -6 + -11 + 1)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -33, -116, -247, -426, -653, -928, -1251?\nAnswer: -1622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -21?  (a) 0  (b) 1.2  (c) 5  (d) 2\/5  (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - 5*s + 9 = -3*o, 5*o - s + 11 = 0. Calculate the lowest common multiple of (o - -8)*(-2 - -3) and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -45 - -88. Let k be (-2)\/9 - (-38)\/9. Suppose -b + k = -s. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 12611, 12475, 12249, 11933, 11527, 11031, 10445?\nAnswer: 9769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 1, -57 in ascending order.\nAnswer: -57, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-32)\/(-28)*48\/(-192))\/((-6)\/(-48)).\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u, 2 j, and 1 x when four letters picked without replacement from {i: 2, x: 1, b: 1, u: 1, j: 2, w: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2*(25 + -2)*1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*a + 26 = -4. Suppose -2*f + a*g + 216 = 0, -4*f = 5*g - 539 + 63. Does 11 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.255, -0.2, -3, 66, 0.2 in ascending order.\nAnswer: -3, -0.255, -0.2, 0.2, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -108*k - 24 = -112*k. Let q be ((-21)\/3 + k)*-1. Is 14 greater than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 61185?\nAnswer: 3, 5, 4079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -24*p**3 + 14*p**2 + 7*p - 197. Let w(h) = -17*h**3 + 10*h**2 + 5*h - 131. Determine 5*t(j) - 7*w(j).\nAnswer: -j**3 - 68","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(143) + (sqrt(143) - -5*(sqrt(143) + sqrt(143) + -1*sqrt(143) - sqrt(143))) - sqrt(143))\/(sqrt(11)*2*4).\nAnswer: sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 6441 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -2885961780375 less than -225?\nAnswer: 2885961780150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(-5 + sqrt(13)*-1 + -2) - (sqrt(104)\/(sqrt(8) + 1*sqrt(8)) + (sqrt(13) - (-5 + sqrt(13) + -3))).\nAnswer: -29 - 7*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s - 215 = -1. Let z = s - -135. Calculate the remainder when 107 is divided by z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence err when three letters picked without replacement from orrovwrrrevr.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 - 10 = -5*n, 5*d - 3870 = 3*n. Let u = d + -430. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2 + 2021222021?\nAnswer: 2021222012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -0*f + 2*f. Suppose -16*y + 2958 = -2. Let a = 182 - y. Put a, f, 0 in ascending order.\nAnswer: f, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 8377, 8385, 8399, 8419?\nAnswer: 8445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = t - 8. Let r be c(-5). Let v = r - -28. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2.2882 + 2.28841762. Round g to 6 dps.\nAnswer: 0.000218","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1246?\nAnswer: 2, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1523913083?\nAnswer: 7, 11, 29, 8863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) be the third derivative of 0*w**3 - 1\/270*w**5 + 0 + 0*w + 1\/54*w**4 - 1\/540*w**6 + 7*w**2. Factor u(y).\nAnswer: -2*y*(y - 1)*(y + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6)\/27*-2)\/((-7)\/21).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -32449 by 41.\nAnswer: -32449\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*l - 3*l + 3*l)*(1 - 1 + l)*(-2*l - l + 0*l).\nAnswer: 15*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-22 - -27) + 7 - (-3 + 4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -320\/93 - 2599\/1488. Suppose 5*y - 39 = 46. Find the common denominator of (-10)\/(-8)*(y + -4) and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -121\/420 and 7\/45.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 33*r + 6. Does 24 divide x(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y = -3*y. Let x = -109 + 113. Let k(s) = 4 + 3*s - 10 - 5 - x*s. Calculate k(y).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8 = -45*c + 532 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = 3*d**3 - 3*d**2 + 4*d - 1. Is i(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 1775, 1768, 1757, 1742?\n\"Answer: -2*h**2 - h + 1778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -m**2 - 12*m + 13. Let d be p(-13). Let l(t) be the first derivative of 1 + 0*t + 1\/3*t**2 - 1\/3*t**4 + 1\/9*t**6 + d*t**5 + 0*t**3. Factor l(k).\nAnswer: 2*k*(k - 1)**2*(k + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.4, 10, 1.5?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -1b (base 16) to base 8\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*x - 7*x + s + 114, -3*x + 120 = s. Suppose -12 = -3*q + x. Does 17 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -h**3 - h**2 + 7*h + 2. List the prime factors of u(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hhyyttohyhhtttt. What is prob of picking 3 t?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2958 is divided by 22?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -32*o - 3. Suppose 0 = 3*s + 90 - 63. Does 12 divide m(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/((-17290)\/56)*10\/4?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 4812, 4887, 4940, 4959, 4932?\n\"Answer: -2*w**3 + w**2 + 86*w + 4727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9550?\nAnswer: 2, 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4 - 1090*v + 1080*v + 20 + v**2.\nAnswer: (v - 6)*(v - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = g**3 + 59*g**2 - 180*g - 2714. Give f(-61).\nAnswer: 824","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) be the first derivative of -5*r**6\/3 - 67*r**5 + 85*r**4\/2 + 253. Factor x(a).\nAnswer: -5*a**3*(a + 34)*(2*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 5*l**3 + 3*l**2 - 3*l. Let h be w(4). Let t = h + -233. Suppose 0 = -4*r + 193 + t. What is r rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.04731 and -71?\nAnswer: -3.35901","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -8 + -11 + 3 + 42\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 81541242857 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -r + 8166*j - 8168*j = 12, 6 = -r - 18*j + 26 for r.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 61 (base 15) to base 13.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/3?  (a) -2\/11  (b) 0.5  (c) -2\/231  (d) 0.4  (e) -109\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3146.73 - -3156. Let m = -19397432 + 19397441.269251. Let t = l - m. What is t rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -13*u**4 - 1572*u**3 + 55*u**2 - 2705819*u - 3 wrt u.\nAnswer: -156*u**2 - 9432*u + 110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 60017 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 178*l = 486467 + 574933 - 280870. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w = -2*z, -3*w + 10 + 5 = -2*z. Let r = w + -11. Let c be 18\/r*-2*2. Calculate the greatest common factor of c and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 132*r - 4 = 133*r, h - r - 764 = 0. Does 8 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = z**2 + 14*z - 11. Let x be q(-15). Suppose 5 = d - f, 5*d - x*f - 28 = -0*d. Calculate the smallest common multiple of 21\/3*(-24)\/(-56) and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -6350264 <= -6350263?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 55 - 5. Let d = 50.3 - s. Which is the closest to 0?  (a) d  (b) -4\/3  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*m + 337 = 307. Suppose 3*c = 2*y - 31, 7*c - m*c = -4*y - 26. Put -3, 5, -4, c in increasing order.\nAnswer: c, -4, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 122.19, -0.1, 0.06, -0.3 in ascending order.\nAnswer: -2, -0.3, -0.1, 0.06, 122.19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 495 divide 894374910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (3\/1)\/(15\/(-10)). Let t = 1 - h. Let q(a) = 1 + t*a - 4*a + 2*a. What is q(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 689411255 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -u**3 + 7*u**2 - 8. Let f be z(7). Let c = f + 10. Suppose -o + 4*o - 5*i - 34 = 0, -8 = -o + i. Put o, c, -2 in descending order.\nAnswer: o, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -42*b - 1621 + 1999 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1865?  (a) 3\/2  (b) 6\/11  (c) -1\/2  (d) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 33744 divided by 8436.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1754901?\nAnswer: 3, 194989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -96*y - 35 - 2865 = 844 for y.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 1 d when two letters picked without replacement from {w: 2, d: 5, m: 7}?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5077*w**2 - 12450*w**2 - 11015*w**2.\nAnswer: -28542*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -40*s*u + 12694*s - 66087655*u + 1 wrt s?\nAnswer: -40*u + 12694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -112230 rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 104497?\nAnswer: 83, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 1485.007 times 0.4\nAnswer: 594.0028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*j + 212 + 10 = 0. Suppose 0 = n - j*n. What is the third smallest value in n, -0.3, -61?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 36*0.688.\nAnswer: 24.768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 13*c - 3. Let h(r) = 560*r - 128. Let v be (39\/65)\/(1\/(-5)). What is v*h(f) + 128*i(f)?\nAnswer: -16*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 4 + 6)*(0 + 1 - 2)*(33*v**2 + 29*v - 29*v) as x*v + g + a*v**2 and give a.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 727.\nAnswer: 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-13)\/(-2))\/(21\/(-210)). Let s be 798\/10 + (-13)\/k. Are s and 80 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u*u**(-9)\/u*u*u*u*(u\/(u\/u**(8\/3)))\/u assuming u is positive.\nAnswer: u**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4\/7?  (a) -2\/11  (b) 8  (c) -0.1  (d) -2  (e) -40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = b. Let z(m) = -5*m + 11. Let a(l) = 4*g(l) + z(l). Let q be a(6). Sort 2, q, 4 in increasing order.\nAnswer: 2, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = h**2 - 10*h - 5. Let l(s) = -4*s**2 + 31*s + 16. Let f(g) = 2*l(g) + 7*x(g). What is the remainder when 21 is divided by f(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -3*s + 484242*s**3 + 50 - 51*s**2 - 484245*s**3 + 87*s**2. Determine v(12).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2540 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.01, -2.1, 0, -19, 10 in descending order.\nAnswer: 10, 0, -0.01, -2.1, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1419.525 - -1299.2. Round d to one decimal place.\nAnswer: -120.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2205 times 0.54?\nAnswer: -1190.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 8, l: 2, u: 4}. What is prob of sequence xxl?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 888817110 to the nearest integer?\nAnswer: 961","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 3126091127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -8.037 + 3.037. Which is the third biggest value?  (a) 1  (b) -0.1  (c) h  (d) -1\/3  (e) -150\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 24*s**4 - 4*s - 6*s - 3*s - 24*s**2 - 7*s + 4*s**5 + 16*s**3.\nAnswer: 4*s*(s - 1)*(s + 1)**2*(s + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 81*o + 4 = 77*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q = 2*q + s - 191, -246 = -4*q + 3*s. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -142 - -139. Let s be (x\/7)\/((-2)\/14). What is the closest to 0 in 0.5, -0.06, s?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 43671.\nAnswer: 3, 14557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 113 + -66. Calculate the remainder when h is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 7 + -4. Let l(v) = v**3 - 2*v**2 - v. Let b be l(n). Solve -b*d = -d - 20 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -0.019, 3, -0.5, 10\/7?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-828)\/115*(-20)\/6. Suppose -40*l + o = -44*l. Let w(g) = -2*g**3 + 3*g**2 + 3. Let c(a) = 7*a**3 - 13*a**2 - 13. What is l*c(v) - 26*w(v)?\nAnswer: 10*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -46, -163, -464, -1039, -1978, -3371?\n\"Answer: -15*a**3 - 2*a**2 - 6*a - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 24, -9, 0, -92, -5, 4.\nAnswer: -92, -9, -5, 0, 4, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 267*q - 263*q + 3*t = 9390, -7050 = -3*q - t. What is the least common multiple of q and 252?\nAnswer: 7056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2904 and 616.\nAnswer: 20328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -1076000 to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/k**8)\/k*k*k\/k**(-1)*k)\/(k**(-9)*k**(1\/7))*((k**5*k)**28)**(4\/3) assuming k is positive.\nAnswer: k**(1602\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -518.553709 rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.09758262339 rounded to 2 dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -25*r**2 + 10. Let k(q) = -8*q**2 + 3. Let y(f) = -10*k(f) + 3*t(f). Let o(l) be the third derivative of -l**4\/24 - 10*l**2 - 10. Give o(y(u)).\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8129.098 years to millennia.\nAnswer: 8.129098","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 37512 is divided by 183?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2952773*p**5 + 3*p**2 + 18750677*p wrt p.\nAnswer: 59055460*p**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*h**2 - 2*h**2 - 2*h + h**2 + (3*h**2 - 5*h**2 - h**2)*(-3 + 3 + 2) - 21*h**2 + 62*h**2 - 4*h**2.\nAnswer: 33*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*d + 137 = -c + 187, -5*d + 35 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 2, r: 1, m: 4, y: 1, l: 1}. Give prob of sequence lyr.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -57\/3868469?\nAnswer: -57\/3868469","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*2*sqrt(204))\/(sqrt(108)\/(sqrt(144) + sqrt(9))) + ((sqrt(204) - -2*sqrt(204))*-5)\/(sqrt(192)*2) + 0.\nAnswer: 225*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2.16  (b) 5  (c) -1\/4  (d) -0.1  (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s\/s**6)\/s)\/(s\/(s*(s*(s*s\/s**(1\/16))\/s)\/s*s))*s**(-1\/2)\/s**(-1\/2))**(-17\/6) assuming s is positive.\nAnswer: s**(1105\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 233831227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 28\/(-44)*(-18 + 7). Let c(r) be the first derivative of r**4\/4 - 5*r**3\/3 - 13*r**2\/2 - r + 3. What is c(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -27\/1795 and 133\/900.\nAnswer: 323100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*f**3 - 6*f**3 + 12*f**3 + 2 to the form a*f**2 + z + o*f**3 + u*f and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 4 = 7. Let x(f) = 6*f**2 + f - 4. Let o(a) = -1. Let k(s) = 4*o(s) - x(s). Let z be k(m). Put -1, z, 4 in ascending order.\nAnswer: z, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 11648 and 23296?\nAnswer: 23296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3.080766 micrometers to millimeters.\nAnswer: 0.003080766","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 27*n + 120. Let m be p(27). Let d(v) = 1702*v - 13 - m*v - 852*v. Suppose -a + 1 = 5*j - 37, -3*j = -5*a - 34. Give d(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 + -1 - (-1 - -4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5*4*-2*(sqrt(78) + 1*sqrt(78)))\/((sqrt(36)\/sqrt(3))\/sqrt(2) - sqrt(6) - (sqrt(6) - (sqrt(6) - sqrt(96))*-3)) + 4)**2.\nAnswer: -80*sqrt(13) + 1316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from iiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 4*y + 20. Let j be s(-7). Let f = j + 4. Which is the closest to -0.3?  (a) 2  (b) -1  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 18495?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3008.7 + -3178. Let s = -162 - d. Let b = -7 + s. What is the second smallest value in b, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = x + 2. Let d(m) = -2*m**3 - 18*m**2 - 35*m - 12. Let i be d(-2). Let b(h) be the first derivative of 0*h + 24 - 1\/2*h**i. What is b(o(g))?\nAnswer: -g - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 1, e: 4, o: 2}. What is prob of picking 1 e and 2 o?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from duuyzzuzyzuyyuzzvzdu. Give prob of sequence vy.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2)\/(-4) + 33\/22. Suppose -4*x + 10 = -10, -p*m + x = -1. Solve m = -s - d, -2*d = s - 5*d - 1 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.5  (b) 1\/4  (c) -31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0*1*5\/(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) be the second derivative of n**5\/20 + n**4\/2 + n**3\/3 - n**2\/2 - 7*n. Let k be a(-5). Solve -q - k = 4*q + 2*z, -2*q - z = 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -2*q**2 + 28*q + 3. Let r be p(14). Factor 12*f**2 - 2*f - 26*f**3 - 33*f**3 + 10*f + 63*f**r.\nAnswer: 4*f*(f + 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (20\/15)\/((-2)\/(-6)). Let z = 13 - -22. Suppose l = -5*g + s*l + z, -4*g = -5*l - 15. What is the highest common factor of 4 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -215 - -224. Solve -6 = -5*i + z for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5698183431.\nAnswer: 3, 1899394477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3547 = -352*a + 2085 for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t + 25 = -3*t. Let w(r) = 8*r + 5. Suppose -5*j - 52 + 172 = 0. Let s(c) = 15*c + 26 + 20*c + 4*c - 2. Give j*w(d) + t*s(d).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v = 3929 - 10641. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 272 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15 = 5*u - i, 0 = -3*u + 4*i - 9 + 17 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - 13 = 5. Let p be ((-435068)\/12)\/(44\/l). Let t = p + -14827. What is the common denominator of t and 19\/14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + 3*((-2*(sqrt(125) + 5*sqrt(125)*2))**2 + -5).\nAnswer: 181485","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 1, k: 1, c: 1, y: 2, r: 2}. What is prob of picking 1 r and 1 y?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -15 - 2621*a + 1306*a + 86 + 1316*a. Calculate o(-23).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (7\/((-14)\/(-228)))\/(-1). Let q be 0 + 3 + -6 + 2. What are the prime factors of (m\/24)\/(q\/4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i + 374 = -4*c + 371, 2*i - 5*c - 21 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1097 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -10 - 20101011101?\nAnswer: -20101011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*s**3 - s + 6*s**3 - 10*s**4 + s**2 - 4*s**4 + 0*s**2 as v*s**4 + b*s**2 + c + h*s**3 + m*s and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -1954 minus 4?\nAnswer: -1958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3782 - -6706. What is the hundreds digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 206 or 0?\nAnswer: 206","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 203 + -201. Suppose r + 27 = p*o + 2*r, -3*r + 9 = 0. What is the remainder when 22 is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 18661901?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:28 PM and 6:33 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f - f = -2. Suppose 0 = -n - n + f. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y - 8 = 2*k, 2*y - 16652*k + 16648*k - 40 = 0. Let t(w) = -3*w - 1. Let x be t(1). Put -11, x, y in increasing order.\nAnswer: -11, x, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-378)\/(-9))\/6*1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine t so that -2276*t**4 - 58181396*t**3 - 371851998852*t**2 - 373100651420*t - 1306831688 = 0.\nAnswer: -12781, -1, -2\/569","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000115499093 rounded to 5 decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -6*n - 35. Let f be k(-7). Suppose b + 3*s = 33, -2*b + f*b + 2*s = 113. Suppose -3*q - 4*q = -b. Solve 5 = -q*p - 4 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -182*r**3 + 11*r + 10. Let j(c) = 90*c**3 - 6*c - 6. Give -5*j(x) - 3*u(x).\nAnswer: 96*x**3 - 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 84255255 divided by 1897?\nAnswer: 44415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 364 = 4*z - 4*m, 5*z - 329 = m + 126. Let n = 121 - z. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 divided by 7077.\nAnswer: 4\/7077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 9 - 4. Solve -11 = -g*j - 1 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) be the first derivative of -f**7\/105 + f**3\/6 - 2*f**2 - 1. Let w(j) be the second derivative of o(j). Find the first derivative of w(g) wrt g.\nAnswer: -8*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 374 at least 372?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7 - 6*x**4 + 7)*(-6*x + 4*x + 4*x) + 2*x - 3*x**5 - 2*x + (3*x**2 + 0*x**2 + 0*x**2)*(0*x**3 - x**3 + 5*x**3).\nAnswer: -3*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) be the third derivative of -d**11\/27720 - d**7\/840 + d**4\/6 - d**2. Let i(f) be the second derivative of h(f). Find the third derivative of i(g) wrt g.\nAnswer: -240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*n + 69819 + 1793. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -165, 4\/7, 16, -5, -0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 91 divide 1760?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 186, -2, -125, 5 in decreasing order.\nAnswer: 186, 5, -2, -125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yykukuuuuynkuy. Give prob of sequence kk.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.4 at least as big as -0.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 155 minutes before 5:12 AM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -91\/47088590 and -41\/920.\nAnswer: 188354360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/5 in 1\/5, -3\/2, -4, -0.2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 200 and 97400.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 107\/96130 and 25\/57678.\nAnswer: 288390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4793.\nAnswer: 4793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Determine i so that -1128\/7*i - 3\/7*i**2 - 106032\/7 = 0.\nAnswer: -188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m, 1 b, and 1 y when three letters picked without replacement from bymmm?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:58 AM and 1:03 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t - 4 = -2*z - 0, t + 28 = 5*z. Let r(b) be the third derivative of -b**4\/24 + b**3 + 33*b**2. Let y be r(z). Put y, -5, -6 in decreasing order.\nAnswer: y, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 75410448.\nAnswer: 2, 3, 449, 3499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*q + 7157 + 168727 = 0. Let z = -10456 - q. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 47572 is divided by 1059?\nAnswer: 976","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 728750293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 4) in base 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -20*t - 17. Let g(c) = -9 - 9*c + 2*c + 3. Let u(z) = -17*g(z) + 6*o(z). Let i(m) = 11 - 9*m - 11 + 6*m. What is -5*i(a) + 12*u(a)?\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z\/(z\/(z*z\/(z\/z**(-2\/15))*z)))\/((z**4*z)\/z*z))\/(z**(-2\/7)*z)**4)\/(((z*z**7*z)\/(z*z**(-5\/6)))\/(z**1\/(z*z**(3\/4)\/z*z))) assuming z is positive.\nAnswer: z**(-6541\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 3200394322?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 125730000 to the nearest one million.\nAnswer: 126000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put together 273176192 and -0.036158.\nAnswer: 273176191.963842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 22119 - 111232\/5. Let d = p - -127. Let u = -0.23 + 9.23. Which is the closest to d?  (a) u  (b) -2\/15  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2\/13 - (-6244)\/(-364). Let p = b - -21. Suppose -4*n + p*d + 764 = 0, 4*n + 2*d = n + 548. What are the prime factors of n?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 485*j + 25 - 20 - 487*j.\nAnswer: -2*j + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -451443 divided by 87.\nAnswer: -5189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2\/5, -5976, 44, -2.4, -1?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-180)\/81)\/((-8)\/12)*192\/32.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find l, given that l**4\/2 + 9*l**3\/2 - 223*l**2\/2 + 591*l\/2 - 189 = 0.\nAnswer: -21, 1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -124 + 55 + (-4964)\/(-72)?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 + 2 - (-1)\/(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 52\/(-65)*(1 + (-3)\/(-2)). Let j(s) = 4*s + 3. Determine j(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 57 - 11. List the prime factors of b.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in thirteen quarters of a meter?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1181259978.\nAnswer: 2, 3, 557, 353459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 714*n**3 - 700*n**3 + 1 - 5 wrt n?\nAnswer: 42*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that -4*d**4 - 944*d**3 - 920*d**2 + 4688*d - 2820 = 0.\nAnswer: -235, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*l - 12*l + 2230 = 0. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (145\/(-25) - -6) + (-2)\/10. Solve k = c - 0 + 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 796 divided by -17\nAnswer: -796\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 8*n**2 - 28*n + 170. Let g(o) = -34*o - 2. Determine g(f(s)).\nAnswer: -272*s**2 + 952*s - 5782","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -89*u**2 - 3. Let t(k) = 1. What is r(n) + 3*t(n)?\nAnswer: -89*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -820 - 87. What is q rounded to the nearest 10?\nAnswer: -910","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = g - 2*z, 5*z + 7 = g - 3*g. Let q(y) = -y**2 + 15*y + 19. Let c be q(16). Suppose 3*k = 6*k - c. Put k, g, -6 in descending order.\nAnswer: k, g, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-6 + (-65)\/(-15))*-3. Let q(d) = d**4 + 2*d**3. Let s(y) = 10*y**4 + 10*y**3 + 115. Let b(g) = k*q(g) - s(g). What is the derivative of b(w) wrt w?\nAnswer: -20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) -3  (b) -4  (c) 1\/2  (d) 0.4  (e) 3\/2356\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = c**2 - 21*c + 74. Calculate f(19).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6*((-1230)\/150 - -7 - (-86)\/30).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = 5*s. Let o(b) = -6*b. Let c(m) = 3*n(m) + 2*o(m). Give c(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8603\/3 smaller than 2869?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 18\/11, 5, 2, 7, -0.07?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-39)\/(-15) + ((-3)\/9)\/(147\/1323).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 213243465?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -x**2 + x - 1. Let m be q(7). Let i = m + 173\/4. Calculate the common denominator of -31\/18 and i.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = 33*k - 288. What is the greatest common divisor of 75 and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = x**3 + 11*x**2 + 19*x + 6. Let j be d(-9). Let b be (177\/(-2))\/j*(4 + -2). Suppose b*f - 58*f = 169. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3884 - -3892. Solve 3*f = 0, -5*l - m - 17 = -f for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1*(-2 + (8 - 2)). Let t be (-6)\/r*2 + 1. Sort 1, -0.3, t in increasing order.\nAnswer: t, -0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1314.3288 to the nearest one hundred.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 10526 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Determine v, given that 2*v**3\/7 + 384*v**2\/7 - 38730*v\/7 + 537608\/7 = 0.\nAnswer: -268, 17, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = u**2 + 2*u. Let k be x(4). Let c be (k\/(-5))\/((-1)\/30). Is 25 a factor of 2 + (-7)\/((-21)\/c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 143\/288347094 and -43\/756.\nAnswer: 576694188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 513108905 to the nearest integer?\nAnswer: 22652","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 534 and 975?\nAnswer: 173550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2213 + 87*o + 16549 - 14336.\nAnswer: 87*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 6914 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = b**3 + b**2 - 2*b + 1. Let r(c) be the first derivative of -c**2 - 41*c + 1. Let d be r(-22). Calculate z(d).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-15 + 16)\/((-3)\/(-21)). Let a(g) = -g**3 + 7*g**2 + 2*g - 9. Calculate a(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -792768, -1585483, -2378198, -3170913?\nAnswer: -3963628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -824*j**3 + 139*j**3 + 333*j**3 + 0*j**3 + 0*j**3 - 2*j**3 + (-4 + j**2 + 4)*(-1 + 1 + j) + 2*j**3 - 2 + 2 + 5*j**3 - 3*j**3 + j**3.\nAnswer: -348*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Total of -5 and -3549.\nAnswer: -3554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 737 - 241. Let b = 1920 - o. Let k = -859 + b. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10)\/(-35) - 26\/(-7) - 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 194442228 and 216.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1021*b**2 + 76*b + 1010*b**2 - 76*b.\nAnswer: -11*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y*y**(-3\/19)*y)\/y)\/y)**13*(y**(-4))**(-2\/71) assuming y is positive.\nAnswer: y**(-2617\/1349)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0004165368 rounded to five dps?\nAnswer: -0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 56 and 1106.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) be the first derivative of -2*y**5\/5 + 12*y**3 + 31*y - 20. Find the first derivative of c(w) wrt w.\nAnswer: -8*w**3 + 72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3440 is divided by 1125?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 5*d + 89. Let t be o(-17). Is 2 a factor of 75\/10*t\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7288429 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*n - 26451 = -11*n - 3*c, 5*n = 4*c + 33025. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + -2*sqrt(68) + -1)*-1 - (3*sqrt(68)*5 - (sqrt(68)*-4*2)**2).\nAnswer: -26*sqrt(17) + 4356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6 - (-360)\/42)*(-1204)\/258.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*a + 4*a + a)*(-4 - 2 + 1 + (3 + 3 - 4)*(2 - 1 - 2) - 2 + 4 + 4).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 2019 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -161\/150 and -74\/135?\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve h - 9*w = -9*w + 7*w - 2*w - 25, 0 = -57*h - 5*w + 315 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 198515?\nAnswer: 5, 39703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((2*sqrt(130)*1*3)\/((sqrt(1280)*1 - sqrt(1280) - sqrt(1280))\/sqrt(2)) + -2).\nAnswer: -9*sqrt(13)\/4 - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(5) + 0 + sqrt(5))**2 + 1 - (-1 + sqrt(5) + -1).\nAnswer: -sqrt(5) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2849.000006854 + 2849. Round w to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*s + 0*s + 12*s.\nAnswer: 18*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -285443, 0.5, -1\/4 in decreasing order.\nAnswer: 0.5, -1\/4, -285443","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide -417 by -57385.\nAnswer: 417\/57385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4\/13?  (a) 0.7  (b) 10  (c) 1  (d) -281\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -236 - -236. Solve -3*z = -r*z + 12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -t**2 - 4*t - 1. Let x be w(-4). Let c(u) = -5*u**2 - 35*u - 24. Let m be c(-6). Let n(v) = -m*v + 4 - 3 + 3*v - 4*v. What is n(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ngnaacalacaggaaacn. What is prob of sequence gcl?\nAnswer: 1\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 16 = -52. What is the hundreds digit of (-2013)\/v - (-3)\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4539*c**2 + 34 + 25 + 4540*c**2 - 36*c**3 - 3*c + 5*c as l + t*c**2 + p*c + v*c**3 and give v.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k = -5*i - 95, -4*i = -2*i - 4*k + 64. What are the prime factors of i\/(-77) + (-201)\/(-7)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 102, 631, 2022, 4701, 9094, 15627, 24726, 36817?\nAnswer: 52326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.24301437021 to three dps.\nAnswer: 0.243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Determine g so that g**4\/7 + 29889*g**3\/7 - 4270*g**2 = 0.\nAnswer: -29890, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -8*l**2 - 34549*l + 207263. Calculate a(6).\nAnswer: -319","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2306 is divided by 54.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (1\/(-2))\/((-2)\/4). Let n be (-3 - (-36)\/6)*3. Suppose n*c + z - 6 = 6*c, 2 = c - z. Sort -4, y, c.\nAnswer: -4, y, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(100)*1)\/sqrt(4))\/(sqrt(10)\/sqrt(2)*-4) + 2 + (4 + sqrt(320))**2 + 5 + 1.\nAnswer: 255*sqrt(5)\/4 + 344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 880246?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (31500 - 92*z - 31500)*(3 - 1 - 1) - 1 + 1 + 2*z.\nAnswer: -90*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -a - 4. Let o be v(-8). Suppose -5*z + 0 = -10, 4*w - o*z = 0. Let f(h) = 0*h**3 - 2*h**3 - h + 3*h**w + h**3 - 3. Give f(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 83*v + 369. Give x(-5).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 414 or 413?\nAnswer: 414","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 0*115.135\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 58 a factor of 5742?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -22a4 + 4e?\nAnswer: -2255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y\/(y\/((((y\/y**33)\/y)\/y)\/y*y*y)))\/((y**(-19)\/y)\/y))**(-35))**19 assuming y is positive.\nAnswer: y**7980","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 63289.88ng in milligrams?\nAnswer: 0.06328988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 71609400 to the nearest one million.\nAnswer: 72000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-5 - -1) + (-3 - -9). Suppose 25 = m - o, -4*o = 3*m + h*m - 170. What is m rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 333 - 336. Which is the third biggest value?  (a) 3\/2  (b) d  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4126309246.\nAnswer: 2, 257, 8027839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1201 - 122102210102211?\nAnswer: -122102210111112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 70 is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 99*z + 11980. Calculate q(-118).\nAnswer: 298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) be the third derivative of y**5\/15 - 7*y**4\/24 - 14*y**2. Find the second derivative of s(o) wrt o.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-185636)\/(-34) - -12*(-16)\/(-1632)?\nAnswer: 2, 3, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) be the second derivative of o**3\/2 - 2*o. Let m(v) = -16*v + 16*v - 3 - 5*v**2. Let s(d) = 35*d**2 + 20. Let f(u) = -20*m(u) - 3*s(u). What is l(f(h))?\nAnswer: -15*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = c**2 - 3*c - 3. Let o be h(4). Let a be 27\/36*(4 + 0). Let q(x) = -5*x**2 - o + 12*x - 7*x - a*x + 0. What is q(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r = -r - 4. Suppose -483*s + 490*s - 10 = 4. Calculate the remainder when s is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - 0.044435609509.\nAnswer: -2.044435609509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert -350 (base 13) to base 12.\nAnswer: -3b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -270 + 1a9683?\nAnswer: 1a9413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 9*q**3 - 4*q**2 + 3*q - 2. Let s(g) = 17*g**3 - 9*g**2 + 7*g - 5. Let z(i) = -2*s(i) + 5*t(i). What is the tens digit of z(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bv when two letters picked without replacement from {s: 3, b: 4, v: 2}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 3 u when four letters picked without replacement from {u: 8, x: 3}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 72286700?\nAnswer: 2, 5, 23, 53, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*f - 186 = -198, -4*a - f + 23 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -802 - -1233. Let k(w) = -y + 431 - w. Let t(q) = 8*q**2 + 68*q - 38*q - 30*q. Give t(k(o)).\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -15\/98 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 11*y - 6*y - 8*y. Let f be (1*-1)\/(0 - -1). Give s(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -19 and 8147908975.\nAnswer: 8147908956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*y + 2*y - y + (23 - 14*y - 23)*(4 - 3 - 2) - 122 + 3*y + 122 + (-4 - 2 + 5)*(0*y - 4*y + 2*y) as n*y + k and give n.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 74 a factor of 3256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12017 is divided by 998?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6834?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 6265.527 litres in millilitres?\nAnswer: 6265527","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1055646 to the nearest integer?\nAnswer: 1027","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -52, -1\/5, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -4 + -1 - (1 - 3). Let i(y) = y**2 + 3*y + 3. Let m be i(r). What is the third derivative of -4*s**m - 4*s**2 - s**2 + s**2 wrt s?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -5*j**2 + 24*j - 22. Let u be o(3). Let b(x) = -x - 12. Let q be b(-12). Which is smaller: q or u?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -13388, -13433, -13552, -13781, -14156?\nAnswer: -14713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 8.9 - 9. Which is greater: x or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*c - 27 = -79. Suppose 0 = 4*y + 3*h - 19, y - 1 = 3*h - 0*h. Sort -2, y, c.\nAnswer: c, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (((-11)\/(-30))\/11)\/2. Let s(b) be the third derivative of -b**2 + i*b**6 + 1\/30*b**5 + 0*b + 0*b**3 + 0 + 0*b**4. Solve s(j) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h - 201 = -4*i, 306 = 5*h - 10*h - 3*i. Suppose 3*y - 46 = -2*x, x + 73 = 4*y + 6*x. Is 8\/(-3)*h\/y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2032078679 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 151*p + 1 - 1 = -59*p. Which is the closest to 1?  (a) 2\/9  (b) -2  (c) p  (d) 0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 84 = -4*q, -x = -3*x + q + 37. Let u be 1\/4 + 4\/x. Let z = 415\/6 - 69. Which is the third biggest value?  (a) z  (b) u  (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/2 less than 403992310?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 37836 - 24993. What are the prime factors of m?\nAnswer: 3, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 12 = p, 28 = -4*k + 2*p. Let s be (k + (5 - 1))\/((-2)\/(-10)). Let i(t) = t**3 + 4*t**2 - 7*t - 2. Calculate i(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 1 k when two letters picked without replacement from kztkkrkkzkzlkklrb.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -12704 - -9001. Is r != -3703?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 3081716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2802774 to the nearest integer?\nAnswer: 1674","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i**5\/4 - 291*i**4\/2 + 8883*i**3\/4 - 10711*i**2 + 20871*i - 14328 = 0. Calculate i.\nAnswer: -597, 2, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -352  (b) 1.47  (c) -2.84\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -3 - 420010400?\nAnswer: -420010403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:52 PM and 1:34 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = u**2 + 13*u + 37. Let r(p) = -p**2 - 3*p - 5. Suppose -7*o + 32 = -4*j - 2*o, -2*j + 2 = 2*o. Let y be r(j). Let h be f(y). Sort h, 3, 0, 2.\nAnswer: h, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -488122 and 0.01.\nAnswer: -4881.22","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Is 559 >= 551?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/(-3))\/(4\/(-24)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 37 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3091379 is divided by 1030.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -15121, -15116, -15097, -15058, -14993, -14896, -14761?\n\"Answer: g**3 + g**2 - 5*g - 15118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*166.53.\nAnswer: 166.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 36371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -d + 12. Calculate w(17).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:57 AM and 6:49 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 54\/36*30\/(-9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -h**2 + 4*h + 1. Let k be s(3). Suppose 0 = 5*b - k*b. Suppose -3*d = -2*m - 34 - b, 2*m = d - 14. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 69\/61 + -19604\/17385. What is the common denominator of -127\/30 and p?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-1)\/198)\/((-17925)\/(-5483490)). Let q = -3\/5258 - y. Find the common denominator of q and 127\/110.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 25b8 (base 12) to base 10\nAnswer: 4316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2\/11, -5, -1\/17, 3\/100, 4, -11\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 42, 242, 712, 1566, 2918, 4882, 7572, 11102?\n\"Answer: 19*f**3 + 21*f**2 + 4*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-371)\/98 + 4)*(2898\/108 + -14) + 1?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 75\/25*380\/(-20).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.997 and 3.5.\nAnswer: -3.4895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = b**3 + 53*b**2 + 157*b + 108. Calculate w(-50).\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3546623 to the nearest integer?\nAnswer: 1883","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -7.2 - -8. Let q = m + 0.2. Sort -0.4, -0.2, q.\nAnswer: -0.4, -0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d - 2*w = -68, -4*d - 7*w + 85*w - 4692 = -60*w for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*c = -9*c - 4. Solve -4*p = c*p - 40 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 31, 3, -4, 16 in descending order.\nAnswer: 31, 16, 3, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -1, 4, -150, 1, -5, 10 in descending order.\nAnswer: 10, 4, 1, 0, -1, -5, -150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 4 - 3.7. Let h = 135 + -672\/5. What is the nearest to 0 in h, u, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 141598696 a multiple of 1172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 198773940\/270 - (-3 - (-75)\/27). What is q rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1\/(-3) - 260\/(-78). Suppose -2*d - 1542 = -4*f, -8*f + i*f + 1924 = d. What are the prime factors of f?\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 32 - 27. Let l = u + -4.8. Which is the nearest to -10?  (a) -0.3  (b) l  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -l - 3*a = 1 - 2, -4 = -4*l + 5*a for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2594 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 3937867841 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1595*t + 40*t**2 - 1604*t + 0*t**3 + 2*t**3 to the form l*t + b + f*t**2 + i*t**3 and give l.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11101010100100011 + 1?\nAnswer: 11101010100100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 4\/(-10)*(-2 + -3). Suppose r*g = -3*g. Suppose 117 = 3*j - g*j. Is j a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 1 u when two letters picked without replacement from eimluqq.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 71\/27 and -89\/24?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -84022.81977 - -84022. Round b to 1 dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -4, 4 in increasing order.\nAnswer: -4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = x**3 - x**2 - 13. Let w be (-2)\/4 - (-2)\/4. Let f be v(w). Let i = -9 - f. Solve 0 = i*a - 3*n + 14, -n - n = -a - 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -273*q + 6333. Let w be t(23). Solve w = 450*r - 459*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1532?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in eleven eighths of a decade?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -2*n**2 + 115*n + 226. Let a be p(52). Let u = a - 417. What is the hundreds digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/3*(54\/(-12))\/(-9).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (1*13\/52)\/((819\/52)\/(-3))?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -l**2 + 7*l - 10. Let j be q(7). Let s = j - -10. Suppose -2 = -2*i + i. Solve s = -5*u + i*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*v - 10*v - 13*v - 11*v to the form x + s*v and give s.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u + 24 = 4*u. Round u to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -91 + 120. Sort 5, 2\/3, d, 1 in descending order.\nAnswer: d, 5, 1, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.1 and 2.232.\nAnswer: -0.2232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-510)\/68*(-89)\/((-11570)\/728).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 16010?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 30664710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 29\/((-928)\/(-24))*20\/15*1\/8.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 50647 divided by 187.\nAnswer: 50647\/187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b3 (base 13) to base 14\nAnswer: a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/5)\/((-10)\/(-100))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2 - (-22)\/10)*-1. Let j = 0.904 - -0.076. Let p = j + -0.88. Which is bigger: p or k?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 86*b + 0 - 100*b - 3 wrt b?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -954 - -949. Sort 3, 55, f, -0.2 in decreasing order.\nAnswer: 55, 3, -0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -v**2 - 343*v - 4480. Calculate x(-13).\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -p**2 - 32*p - 157. Give s(-26).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*p = -670 + 1006. What is the least common multiple of p and 56?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -21369, -42738, -64107, -85476, -106845, -128214?\nAnswer: -149583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -0.012+0.19\nAnswer: 0.178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1715) + sqrt(1715)*-2)\/(sqrt(112)*4 + sqrt(7)) - -1*(5*(sqrt(5) + 1) + (sqrt(100)\/sqrt(4))\/sqrt(5)).\nAnswer: 5 + 95*sqrt(5)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 7675984 by 1918996.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 - 852167*m - 51 + 852170*m + 19.\nAnswer: 3*m - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -4308, -8608, -12912, -17220, -21532, -25848?\n\"Answer: -2*i**2 - 4294*i - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2 - 3) + -1 + (9 - 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*r - 33 = 2*x - 5*x, 0 = -2*x - 4*r + 34 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -10054\/2259, -3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 106862 divided by 4?\nAnswer: 53431\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -8 + 18. Is d\/(-45) + (-3226)\/(-18) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 4 - 3)*(3*d**2 - 10*d + 10*d).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 22423 (base 5) to base 3\nAnswer: 2012202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*((l\/(l**(-5)*l))\/l)\/l*l**(-6)*l)**(2\/49) assuming l is positive.\nAnswer: l**(-2\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -13 (base 9) to base 3.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -7, -5886, 0.2?\nAnswer: -5886","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2018 - 1107 + 31*l - 914.\nAnswer: 31*l - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 14246956 to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -151107084*g**2 + 22932805*g - 5 wrt g?\nAnswer: -302214168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -92 + 152. Let l = y + -54. What is the third derivative of -16*t**2 + 6*t**2 - 20*t**2 + 16*t**l wrt t?\nAnswer: 1920*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in one fifth of a millennium?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o = -4*w + 16, 15 = -3*o + 5*w + 11. Put o, -2, 42 in ascending order.\nAnswer: o, -2, 42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -327 - -228. Let f = n + 98.99838. What is f rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 70, 62, 54?\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.577 + 0.877. Which is the smallest value?  (a) 0.076  (b) m  (c) 1\/5  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 42 minutes before 9:36 AM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 18\/162 + (-86)\/(-198)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7806 plus -45?\nAnswer: -7851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from exzbczeeecczxcecfczc. What is prob of sequence cb?\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -255459 = 481*k - 275180 for k.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 3*l - w, 5*w + 8 + 7 = 0. Which is the smallest value?  (a) l  (b) 2\/9  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2575.8 to the nearest 10.\nAnswer: 2580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00011243 rounded to 5 decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*q**2 + 0*q**2 - q**2)*(-4*q - 2*q + 4*q) - 4 - 34*q**3 + 21*q**3 + 12*q**3 to v + w*q + x*q**3 + l*q**2 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-91 + 48 - 180 - 7)*(45*q - 91*q - 125*q) to the form p + y*q and give y.\nAnswer: 39330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-1))**(7\/3)\/(l*l\/((l**(2\/5)*l)\/l)*l)**16 assuming l is positive.\nAnswer: l**(-659\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0041 to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Determine k so that 2*k**3 - 244*k**2 + 7442*k = 0.\nAnswer: 0, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express -16*k - 19*k + 36*k - 7 - 1 - 8*k**3 - 8*k**3 in the form o*k + w*k**3 + z + y*k**2 and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/(-6 - (-39)\/6) + -3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n - s + 3*s + 208 = 0, 16 = -4*s. What is the remainder when n is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13406023 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 492 divided by -3\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -265 divided by -156.\nAnswer: 265\/156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -1934500 to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*q - 4*c + 10720, 0 = 2*q + 3*c - 7707 + 561. Is q a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6860 + -11026.\nAnswer: -4166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 9182917 + -18223118. Let m = -9040206.000007 - v. Let o = 5 + m. Round o to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 1612*n - 12891. Let w be f(8). Suppose 10 + 15 = -3*o + 5*q, -10 = 4*o - 2*q. Solve w = h - o*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 16 - -19. Let x = 34 + u. List the prime factors of x.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 456 = -2*n + 5*i + 426, -16 = -4*i for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-15)\/18*8\/(-20)*18. Suppose -12 = 2*m - c*m. Solve m*l - 1 = 2*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = h**3 - 6*h**2 + 6. Let x(v) = 4*v - 11. Let b be x(0). Let k(i) = -i**3 + 11*i**2 - 11. Determine b*p(y) - 6*k(y).\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 1 + 0 - 2 - 10*y**2 - 2 wrt y?\nAnswer: -20*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine j, given that -2*j**2\/11 + 142*j\/11 - 276\/11 = 0.\nAnswer: 2, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -888, -889, -888, -885?\nAnswer: -880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00003284 to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*f**6*m + 2*f**6 - f**2*m + f**2 + 12*m wrt f?\nAnswer: -240*f**3*m + 240*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -143866 - -274823. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 1, l: 4, d: 2, e: 4}. What is prob of picking 1 l and 2 d?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1.4 and -321092.\nAnswer: -449528.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 344*h**2*p + 4*h**2 - 87*h wrt p.\nAnswer: 344*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 2*c**2 - 361*c + 3082. Calculate y(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v**3 - 285*v**2 - 13205*v + 13485 = 0. Calculate v.\nAnswer: -31, 1, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 49541 is divided by 326?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 769 + 32?\nAnswer: 79b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -d + 23. Let h be f(19). Suppose 15 = -5*j + c + h*c, 0 = 4*c - 8. Sort j, 1, 5 in descending order.\nAnswer: 5, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/(g\/g**(-3))*g**0)**(-43)\/((g**2)**(7\/5)*(g\/(g\/((g\/((g*g\/g**(2\/13)*g)\/g))\/g)))\/g**(-2\/5)) assuming g is positive.\nAnswer: g**(8297\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 10262141 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -13558671*r + 21188807.\nAnswer: -13558671","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -0.4 times 3370\nAnswer: -1348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.3 in -419.22, -1\/5, -2\/15, -1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0002014955 rounded to 6 decimal places?\nAnswer: -0.000201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 310\/110 + (-2)\/(-11). Suppose -l*p - z + 143 = 0, 5*p + 0*p + z = 241. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) be the third derivative of 0*r + 1\/3*r**3 + 1\/10*r**5 - 1\/360*r**6 + 20*r**2 - 2\/3*r**4 + 0. Let v(x) be the first derivative of k(x). What is v(11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*a**3 + 5224565*a**2 + 1364780461115*a - 12283447343445.\nAnswer: 5*(a - 9)*(a + 522461)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -59*h + 44*h - 30 = 0. Which is the third biggest value?  (a) h  (b) 2\/9  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2 - -2.2. Let l = q + -0.4. Let w = 0.7 + l. What is the biggest value in w, -1\/3, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k + 5*g = 18, -3*k + 3218*g = 3217*g + 14 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (34 + 5*a - 6*a + 3*a)*(12 - 9 - 1 + 2*a)*(-3 + 1 + 4).\nAnswer: 8*a**2 + 144*a + 136","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -199 - -199. Which is the closest to 2\/3?  (a) 3  (b) w  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 18 and 72057.\nAnswer: 432342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -11, 0, 1 in ascending order.\nAnswer: -11, -4, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5 = 4*i - 5 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 times -22964?\nAnswer: 22964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -j + 2 - 7, t + 2*j = -5. Let x(n) be the third derivative of -n**4\/6 - 7*n**3\/3 + n**2. Let s(i) = -1. Give t*x(a) - 12*s(a).\nAnswer: -4*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b = x, 0*b - 11*b + 27*b = 5*x - 105 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2.4 - 0.4. Let l = k - 1.5. Let n be 3\/(-2)*8\/(-30). What is the closest to n in 0, 2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/7 in 4, 0.8, -8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9 + 65*h**2 - 156*h**2 + 529*h**3 + 91*h**2 - 9.\nAnswer: 529*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = y**3 - 4*y**2 + 3*y - 9. Let l be f(4). Suppose 11*p - 2940 = -l*p. Does 42 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 274756.\nAnswer: 2, 149, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1045620359 rounded to 6 dps?\nAnswer: -0.104562","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4310 and 170.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) be the third derivative of -v**5\/12 + 55*v**4\/12 - 100*v**3 - 995*v**2. Factor m(j).\nAnswer: -5*(j - 12)*(j - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 360\/581 + -4\/83. Let g(i) = -i**2 - 4*i - 2. Let d be g(-2). Factor -2\/7*t - f + 2\/7*t**d.\nAnswer: 2*(t - 2)*(t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -681705*c**3 - 21*c + 63679.\nAnswer: -4090230*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*s + 4 = -x, -5*s = 5*x + 319 - 334 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 2, m: 1, e: 2, c: 6, a: 4, u: 4}. Give prob of picking 1 o and 1 c.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in one fifth of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -8*b - 5*b - 3*b - 21*b**2 + b + 6.\nAnswer: -3*(b + 1)*(7*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3 - 1. Let p be (-46*1)\/((168\/91)\/(-12)). Let z = p + -303. What is the biggest value in z, -1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 104, -0.03, -0.08, 2\/11, 28, 0.2?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Product of 21507 and -473.\nAnswer: -10172811","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 42 + 6 - 30 + 770*h + 81.\nAnswer: 770*h + 99","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 117 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, -52, 3, 0.2, 17\/4, 5 in decreasing order.\nAnswer: 5, 17\/4, 3, 0.2, 0.1, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -13*a - 11. Suppose -4*q = -i - 0 - 7, -3*i + q - 21 = 0. Let k be g(i). What is the highest common divisor of 10 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*l + 5*l - 49. Suppose -204 = -5*k - l. Suppose 54 = 5*x - k. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 483, 584, 753, 990, 1295, 1668, 2109?\nAnswer: 2618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-3 - 3\/(-2))*-6. Suppose -60 = 2*z + 3*z. Let k be i\/z - (-7)\/4. Solve 4*q + k = 9 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*o**2 - 105455 + 105455.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -64 + 37 + -47 - -56?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 1 p when two letters picked without replacement from dodpccjdddjood?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 4931.21955 to the nearest 100.\nAnswer: 4900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 24\/(-5)*1010\/2727\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4171 - 4172. Let d(g) = -5*g**2 + 1. Determine d(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) be the first derivative of -v**7\/30 - v**5\/12 - v**2\/2 + 4. Let k(o) be the second derivative of q(o). What is the third derivative of k(a) wrt a?\nAnswer: -168*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -2, -7, 2\/3, 1 in descending order.\nAnswer: 3, 1, 2\/3, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7934 divided by 44.\nAnswer: 3967\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = p**3 - 7*p**2 + 10*p + 2. Let b be h(5). Determine t so that 2\/15*t**b + 0 - 2\/15*t = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12471 is divided by 162.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -88*x**2 - 11*x - 12. Let q(k) = -176*k**2 - 23*k - 27. Give -9*a(c) + 4*q(c).\nAnswer: 88*c**2 + 7*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x = 0, -3*x + 12 + 3 = -5*q. Let w = -8 - -12. Let i = 2 + -2.5. Which is the closest to 0?  (a) i  (b) q  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -n**3\/4 + 75*n**2\/4 - 278*n - 1428.\nAnswer: -(n - 51)*(n - 28)*(n + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2216328105 to the nearest integer?\nAnswer: 1304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -35, 1, 3, -1, -18, -3 in increasing order.\nAnswer: -35, -18, -3, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 6\/(-2) - (12 + (-341)\/22). Let m = 6 - 5.8. Sort -0.5, m, 1, h in ascending order.\nAnswer: -0.5, m, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 279 + -219. Calculate the remainder when w is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -140334 - -23?\nAnswer: -140311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-8463)\/(-14)*644\/6?\nAnswer: 7, 13, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xssx when four letters picked without replacement from ssssxxsssssssxssss.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -6522990 or -6522989?\nAnswer: -6522989","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -797*c. Let t(f) = 45*f**2. Calculate t(m(u)).\nAnswer: 28584405*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 551 + -142. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -4340*w**3 + 140*w**2 - 140. Let j(o) = o**2 - 1. Determine -280*j(k) + 2*s(k).\nAnswer: -8680*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 3375, 3391, 3409, 3429?\n\"Answer: u**2 + 13*u + 3361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4?  (a) -1  (b) 0  (c) 2  (d) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = c**3 + 14*c**2 - 14*c + 20. Let b be a(-15). Solve -2*k + 11 = -k - 4*m, 5*k - 10 = b*m for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) be the first derivative of -y**5\/10 + 3*y**4\/8 + 16*y**3\/3 + 15*y**2 + 16*y + 27. Factor z(a).\nAnswer: -(a - 8)*(a + 1)*(a + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2.19 - -2.81. Let t be 5\/15 - (-1 + 1). Sort t, 19, p in descending order.\nAnswer: 19, p, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -78a661 (base 11) to base 14\nAnswer: -24a952","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 111 a factor of 89273048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -1120.883 rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n + 10 = 9*n. Let a = 6 - n. Let g(v) = -v + 4. Let y be g(4). What is the closest to 0.1 in y, a, -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -t**2 - 3*t. Let m be v(0). Let b be 4*(1\/4 + 1). Suppose m = -a - b*a. Solve 3*i - s - 17 = s, -i + 2*s + 7 = a for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -203 - 145.38397\nAnswer: -348.38397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 648 divide 27423254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 2124.7 + -3.2?\nAnswer: 2121.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 2 u when three letters picked without replacement from {i: 5, u: 15}?\nAnswer: 35\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -17954*g. Let m(p) be the third derivative of -p**4\/12 + 956*p**2 - 2. What is h(m(i))?\nAnswer: 35908*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -j. Let v(s) be the third derivative of -8*s**5\/15 + 83*s**2. Determine q(v(k)).\nAnswer: 32*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is -281 smaller than -4\/55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(56) + sqrt(896))\/sqrt(4))\/((3*sqrt(72)\/sqrt(3))\/sqrt(12)) + 5.\nAnswer: 5 + 20*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*d**4\/5 + 36*d**3\/5 + 168*d**2\/5 + 304*d\/5 + 192\/5.\nAnswer: 2*(d + 2)**3*(d + 12)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 4*c - 19*c**2 + 2*c**3 - c**3 + 13*c**2 - 2*c + 7. Let b be i(5). Let l be ((-10)\/2)\/(7 + b). What is the nearest to 1 in 0.5, l, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:19 PM and 3:47 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 47*v - 43*v + 3*f = 9375, -2*v = -5*f - 4655. Is 234 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -477 >= -481?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**11\/c**(5\/4))**(-15)*(c**4*((c\/(c**(-7)*c))\/c)\/c)\/((c*c**(-3))\/c**(-5\/4)) assuming c is positive.\nAnswer: c**(-273\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29*d - 16*d + 117 = 522 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-24)\/(-4)*(-85)\/34?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add together 3.05 and -2380.\nAnswer: -2376.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 10016102?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2 - -2.3. Let k = r + -4.3. Let w = 61972 + -61972. What is the nearest to 1 in w, k, -4\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -25007 bigger than -25006?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3 - 2.8. Let x = -2.8 - y. Which is the nearest to -0.1?  (a) x  (b) 5\/4  (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 36 = 5*h - 13, -3*u + 3*h + 126 = 0. Suppose -3*k - 7 = -u. Calculate the remainder when 18 is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 154 (base 14) to base 3.\nAnswer: 101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + i - 4*u + 20 = 0, i - 3*u - 5 = 0. Suppose i = 2*c - 3. What is the smallest common multiple of (6\/10)\/(-8 - (-1331)\/165) and c?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -313 - -159. Let b = j - -322. Suppose -4*o + b = t, 0 = -3*o + 2*t + 2*t + 126. List the prime factors of o.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -56557, -56794, -57031, -57268, -57505, -57742?\nAnswer: -57979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-42)\/30 + 5 + (-9)\/15. What is the third derivative of 86*t**2 - t**z - 3*t**3 + 11*t**3 wrt t?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 21261, 42826, 64387, 85944, 107497, 129046, 150591?\n\"Answer: -2*m**2 + 21571*m - 308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -134732 greater than 1\/34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 3, 1, 87, -1.\nAnswer: -4, -1, 1, 3, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 216.072 plus -2?\nAnswer: 214.072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -62*j + 900 = -74*j. Is -78 < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -64*z - 24*z + 0*z + 0*z + 106. What are the prime factors of u(-6)?\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3494*m**3 + 5*m**2 - 96682*m.\nAnswer: 20964*m + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 6510 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g - 3131 = -8*g + 4*j, -4*g + 4*j = -2504. What are the prime factors of g?\nAnswer: 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -295 and -15.0657161282.\nAnswer: -310.0657161282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kukupuprxppp. Give prob of picking 2 p and 1 k.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -2*d - 5. Let z be -3*(8 + -6) + 1. Let w(i) = -4*i - 11. What is z*o(n) + 2*w(n)?\nAnswer: 2*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 427 - 436?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -4464484*q + 7481727.\nAnswer: -4464484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 104*t - 25 - 7*t - 6*t - 16*t + 103*t. Let q = -6 - -14. Is k(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4379 divide 142266912?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3263700 = 39*l - 125*l. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 664*5\/40*14?\nAnswer: 2, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 39 - 25. Let l(g) = -2*g**3 + 149*g**2 + 69*g + 458. Calculate the least common multiple of l(75) and v.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -902*i**2 + 1407*i**3 + 1791*i**2 + 3032*i**3 + 412*i**2 + 997*i**2 wrt i.\nAnswer: 26634","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 592897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 159445799 to the nearest integer?\nAnswer: 542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 718221?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -25413*p + 51061*p - 25470*p.\nAnswer: 178*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = y + 3*n + 50, y + 80 = -161*n + 156*n. Let k = -12\/11 + 130\/99. Which is the closest to k?  (a) -3  (b) -4\/7  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1546229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -12899, -12820, -12687, -12494, -12235, -11904?\nAnswer: -11495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -354506 - 461494. Round r to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -15*x**3 + 2*x + 4. What is the remainder when 358 is divided by l(-2)?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-21)\/(-35)*-4*630\/588?\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 52.2 + 0.8. Let q = 78 - n. Let w = q - 24.99946. What is w rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2731 is divided by 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3 - 2. Suppose u + 5*z - 5 = -f, -2*z + 70 = 4*u. Let o = -11 + u. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -14 - -25?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 230, 296, 362, 428, 494, 560?\nAnswer: 626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j = -49*g - 18 - 68, 4*j - 10 = 12*g - 13*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -29 - -18. Let u be (-18)\/(-27) + z\/12. Which is the third smallest value?  (a) u  (b) -5\/2  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 1 s when two letters picked without replacement from {s: 1, k: 1, h: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3183 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5 + 1.9539.\nAnswer: 6.9539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 0.1, -3561, -4062?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j**(1\/3)*j**6\/j)**(-34) assuming j is positive.\nAnswer: j**(-646\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + y - 13157 = -2*f, -3*f - 5*y = -7903. Is f a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 106291 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a = -0*a - 10, -3*z + 118 = -5*a. Suppose 0 = 27*u - z*u + 135. Put 4, 0.5, u in descending order.\nAnswer: u, 4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1506204 is divided by 1668?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 487 + -448. What is the remainder when 153 is divided by f?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 53 + -59. Let h be 10\/4 - (-3)\/b. Suppose 3*a + 6*m - h*m = 664, -1105 = -5*a - 5*m. Calculate the greatest common factor of a and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.4 + 0.2. Let p = 0.2 + h. Let m = -36 + 75\/2. What is the closest to p in 0.2, m, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -4*z - 0*z, 4*n + 4*z - 76 = 0. Suppose 12632 = -22*r + 12654. Sort 3, r, n.\nAnswer: r, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.1  (b) 5\/3  (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + 25 = 4. What is the highest common factor of n and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-6)\/9)\/((-4)\/1650). Let q = v + -272. Solve 2*i + 2*i = q*p, 3*i = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 17*v - 16. What is the units digit of u(13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -31\/2291993 and -64\/693.\nAnswer: 144395559","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*x - x - 1 + 3*x)*(-4 - x + 4)*(-301*x - 37*x + 125*x).\nAnswer: -639*x**3 - 213*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 612 divided by 36?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -s**3 - 16*s**2 + 41*s + 89. Let h be a(-18). What is the nearest to h in -2\/13, -6, 1, -0.05?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -7, -16, -29, -46, -67, -92?\n\"Answer: -2*d**2 - 3*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -7*y**2 - 5*y - 5. Let r(u) = -5*u - 106 - u**2 + 102 - 5*u**2. Let x(g) = -5*r(g) + 4*w(g). Let d(m) = -m**2 - 4*m. Calculate 5*d(p) + 4*x(p).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -72 + 17660?\nAnswer: 175bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -2*l. Let s be y(5). Let t be 4\/s - 574944\/(-10). Suppose -t + 22094 = -2*r. What is r rounded to the nearest 1000?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 35398 is divided by 3932.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = 5*p**2 + p + 2. What is the remainder when r(2) is divided by (-56)\/16*8\/(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -3*t**3 - 30*t**2 - t - 22. Determine f(-10).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -302\/5 or -61?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 + 2*j + 0 - j + 0*j + 0*j + (1 - 1 + 2*j)*(0 + 1 - 2) - 4*j + j + 4*j + 137 - 137 + 18*j + (-3*j - 2*j + 3*j)*(3 - 5 + 5) + 6*j - 3*j - 5*j.\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -65865*h = -67388*h - 76150 for h.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 16*g**2 - g**3 - 20*g**2 + 3*g**3 to the form h + n*g**2 + l*g**3 + d*g and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 4, n: 2, q: 2, k: 5}. Give prob of picking 1 n, 2 k, and 1 q.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 3*l - 29 + 20*l + l**2 - 5*l + 9*l. Let y be d(-28). Let m be y - 3*(-101)\/3. What is the greatest common divisor of 40 and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = 4*v - 11 + 12 - v**2 + 4*v**3 - 5*v. Let g be r(1). Solve 0*n = g*u + 2*n + 3, -3*u + 5*n = 24 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:57 AM and 5:49 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.14 - -0.26. Put -1\/7, z, 4 in ascending order.\nAnswer: -1\/7, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2531.\nAnswer: 2531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -25553, -25552, -25551, -25550, -25549, -25548?\n\"Answer: f - 25554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 4127.6609 times -0.9?\nAnswer: -3714.89481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 8*m**2 + m - 2. Let j(t) = -26*t**2 + 2*t + 2. Let i be j(2). Let l = i - -92. Let s(k) = 15*k**2 + 2*k - 4. What is l*s(d) + 11*w(d)?\nAnswer: -2*d**2 - d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1872 = -158*g + 134 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 14*q + 8. Let k(h) = -5*h - 3. Let r(b) = -8*k(b) - 3*l(b). Let t(x) = -39*x. What is t(r(z))?\nAnswer: 78*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2318 - 11589\/5. Is c > -102?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4958141?\nAnswer: 61, 81281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 3\/32 of a meter?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -405945500 divided by -925?\nAnswer: 438860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -54*s + 9118. Determine u(187).\nAnswer: -980","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5 - 5. Suppose -3*n + 12 = -f*n. Suppose 18 = u - 3*y - 0*y, -n*u + y = -127. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -93*(1 + 3 + -2 - 3). What is the first derivative of -188*y - 19*y**3 + a*y - 2*y**2 + 67 + 95*y wrt y?\nAnswer: -57*y**2 - 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -2*v**3 - 10*v**2 + 150*v + 765. Calculate q(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 407482 to the power of 1\/4, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*w = -43 + 7. Let n(x) = -x + 11. Determine n(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 n and 1 u when three letters picked without replacement from {u: 1, n: 2, e: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is seventy-two fifths of a hour in seconds?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*4*sqrt(13)*-1.\nAnswer: -16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 34356*h**2 - 75746*h**2 + 27376*h**2 to the form j*h + s*h**2 + m and give s.\nAnswer: -14014","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1 by 482.\nAnswer: 1\/482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1789328 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i**3 - 56084110*i**2 - 56084105*i = 0. Calculate i.\nAnswer: -11216821, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -226, -644, -1258, -2068, -3074, -4276, -5674?\nAnswer: -7268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3481 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 1453*b - 810. What is the tens digit of z(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (0\/(-2) - 0) + (-38)\/(-76)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 2*n**2 + 2*n - 17. What is the tens digit of m(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7662 is divided by 1842.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -57 + 56.99999994. What is c rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 48, -17, 3, 26, -4 in ascending order.\nAnswer: -17, -4, 3, 26, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 761 greater than 8359\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 50 and 732370?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = 5*r**2 + 5*r - 2. Suppose 0 = -6*v + 2*v - 124. Let q = -28 - v. What are the prime factors of m(q)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/x**(3\/2))**38\/(x*x**(4\/9))**39 assuming x is positive.\nAnswer: x**(-226\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) be the first derivative of v**5\/120 - v**4\/8 + 3*v**3\/4 + 3*v**2 - 4. Let h(b) be the second derivative of d(b). Let h(z) = 0. Calculate z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 9?  (a) -24  (b) -3  (c) 0.3  (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -72*q - 525 = -73*q. Calculate the remainder when q is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2 + 4304?\nAnswer: 4302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 575 and 3275.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x + 3*x + 2*l + 30 = 0, 2*x - 5*l + 1 = 0. Let c be (x\/10)\/(4\/(-10)). Suppose -7*u + c*u = -460. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven halves of a week in hours?\nAnswer: 924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 8 + -4. Suppose -t*i = -o + 5 - 26, -5*i - 3*o + 5 = 0. Put 0, i, 2 in descending order.\nAnswer: i, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -13*b - 17. Let m(k) = 19*k + 25. Determine -7*c(d) - 5*m(d).\nAnswer: -4*d - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + -1 - 64\/40*-5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 51883?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 599018257?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1.39 + 1.39. What is the smallest value in 0.06, l, 2\/19?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -5*f**2*g*l**3 - 5*f**2*g + 2*f**2*l**3 - 3*f*l**3 + 23*g*l**3 wrt f?\nAnswer: -10*g*l**3 - 10*g + 4*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -47, -103, -173, -263, -379, -527, -713, -943?\nAnswer: -1223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 1305*m + 5696. Let f(c) = -1957*c - 8569. Let x(j) = 5*f(j) + 8*y(j). Differentiate x(w) wrt w.\nAnswer: 655","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -13 + 1 + (-7 - -10 - -13).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*j**3 - 6651*j**2 + 3716064*j - 32908032.\nAnswer: 3*(j - 1104)**2*(j - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -9*m - 23. Let v be u(-5). Find the second derivative of 159*l**5 - v*l + 0*l - 149*l**5 wrt l.\nAnswer: 200*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -10 + 25. Let t be (-12)\/(-4) + (-26)\/(-13). Solve -12 = 3*i + t*n + 7, 0 = 3*n + g for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 269.6, 0.3, 9 in decreasing order.\nAnswer: 269.6, 9, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bbgeegdwbowgbbbbww. Give prob of picking 2 b and 1 d.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) be the third derivative of h**5\/60 - h**4\/12 + h**3\/3 - 4*h**2. Calculate the remainder when 49 is divided by w(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 minutes after 1:03 AM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 386 minutes after 9:22 AM?\nAnswer: 3:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*l - 2*k + 10 = -2*l, 3*l - 4*k = 6. Let q be (2 - -6)*2\/80. Which is the nearest to -7?  (a) q  (b) l  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -181 + 262. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b and 1 u when three letters picked without replacement from {u: 6, b: 3, z: 8, r: 2}?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 95190 a multiple of 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2*k**2 - 2 + (-1 + 2*k + 1)*(-3*k + k + 4*k))*(-8*k**3 - 10*k**2 + 10*k**2).\nAnswer: -16*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 32019, 32023, 32003, 31947, 31843, 31679?\n\"Answer: -2*u**3 + 18*u + 32003","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 441, 15, 7.9 in descending order.\nAnswer: 441, 15, 7.9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 1591*v - 477179. Determine a(300).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 28763 (base 9) in base 15?\nAnswer: 5c03","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 362 a factor of 7793736?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = r**3 + 8*r**2 - 8*r + 8. Suppose -4*l + 9*l + 45 = 0. Let c be x(l). Let o(u) = -11*u - 1. What is o(c)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*l = -3*l + 507 - 20931. Calculate the lowest common multiple of 6 and l.\nAnswer: 5106","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.26 - 12.44. What is k rounded to the nearest integer?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 4\/(-6) + 846\/54. Suppose 18*u - 12 = g*u. Find the first derivative of -111 + 15*q**4 - q**u + 81 wrt q.\nAnswer: 56*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2203*x + 2205*x = 3*j - 4, 3*j - 4*x - 8 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9078.309 years to centuries.\nAnswer: 90.78309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 20\/112496777 and -1\/33963?\nAnswer: 337490331","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 346 - 282*i - 346 - 61*i - 733*i.\nAnswer: -1076*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 6633328*g + 32. Let a be r(6). What is a rounded to the nearest one million?\nAnswer: 40000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*q = -3*o - 23*q + 12, 0 = 6*o + 3*q - 96. Solve o = -6*j + 2*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5 - 5.4. Let x = -0.4 - v. Let i = 0.8 + -0.3. Which is the smallest value?  (a) 4  (b) x  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a = -3*a - 4*k + 94, 240 = 4*a - 5*k. Is 5 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -14004 - -20988. Is 24 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*z**4 + 28*z**3 + 66*z**2 - 28*z - 64 = 0 for z.\nAnswer: -2, -1, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/o**(-5\/7))**(-2\/123) assuming o is positive.\nAnswer: o**(-8\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -24499.2 + 24498.879969. Let t = g - -0.32. What is t rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 26*h + 25080 = 25*h, -16*r - h = -133760. Is r a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/(6*1\/3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 85027639 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -31.971 - -0.271. Let f = 26.7 + d. Sort 0, 0.2, 3.4, f.\nAnswer: f, 0, 0.2, 3.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = -r + 18. Let f(q) = 2*q**2 + 14*q - 7. Let w(i) = -i**2 - 13*i + 7. Let v(m) = -2*f(m) - 3*w(m). Calculate the remainder when 19 is divided by v(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -509*i - 33060. What is g(-65)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -667  (b) -1  (c) 10  (d) -53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 4*t**3 + 14*t**2 - 16*t. Give l(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 3  (b) 1\/3  (c) -2.2  (d) 2\/17  (e) -419\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -7*u**2 + 314*u + 3024. Calculate d(53).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(2299) + 1)*4)**2.\nAnswer: 352*sqrt(19) + 36800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 13, 0, 5, -28 in descending order.\nAnswer: 13, 5, 4, 0, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cnxpxoncxnonponnnnn. Give prob of picking 3 x and 1 p.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1058 is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -47*w + 5*w - 26*w + 2349400. List the prime factors of w.\nAnswer: 2, 5, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9024 = 7*n - 2918. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -4*i**2 - 3. Let n(q) = -1281*q**2 + q + 8. Give -3*a(r) - n(r).\nAnswer: 1293*r**2 - r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -292559*s + 292519*s + 1760 = 0 for s.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) be the first derivative of 0*s - 2 - 1\/2*s**2. Let m(x) = 51*x**2 + 32*x**2 - 87*x**2. Give m(f(v)).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 242 (base 7) to base 11\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 5*r = -40. Calculate the remainder when 12 is divided by -4*1 - -1 - r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 0 + -104363?\nAnswer: -104363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (20\/4)\/(35\/42).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:57 PM and 7:06 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -4*p - 34. Let j be s(-11). Suppose 0 = -j*u + 7*u - 504. What is the tens digit of u\/(-24)*(0 + 5*1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 4*2 - (-2 + 6). Solve 5*y - q + 29 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -63*j**3 + 14*j + 61*j**3 - 3*j**2 + 2*j**2 - 3. Is v(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k + h = -13, 8*k - 14698*h = -14694*h + 20 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.4 and 0.023?\nAnswer: 0.0092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:52 PM and 8:15 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -60 divided by 10?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 56820 and 933.\nAnswer: 17671020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1269895441 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = y**3 - 2*y**2 - y + 1. Let s(u) = -9*u**3 + 10*u**2 + 5*u - 56. Determine -s(w) - 5*v(w).\nAnswer: 4*w**3 + 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -o**2. Let j(w) be the third derivative of 0*w + 3*w**2 - 1\/4*w**4 + 0*w**3 + 0. What is y(j(x))?\nAnswer: -36*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*b**3 + 1560*b**2 - 191268*b + 7050512 = 0 for b.\nAnswer: 68, 161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 815319719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -55*i**2*n*q*s**3 + 193*i**2*n*s**3 - 74*i**2*n*s - 6*i*q*s**2 + 13*n + 5*q*s**2 wrt s?\nAnswer: -330*i**2*n*q + 1158*i**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 2535*o - 4367807. Calculate q(1723).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 4*v = -29 - 11, 3*h = 5*v + 56. List the prime factors of -1*(-1 - h) - 1.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x = 2983 - 15153. Suppose 3*d = 12412 - x. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) be the first derivative of r**4\/4 + 2*r**3 + r**2 + 2. Let s be n(-5). Suppose -u + s = 4*u. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5052*w + 16319*w + 115*w.\nAnswer: 21486*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 5084 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -10177.53 and -379725552?\nAnswer: 379715374.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 32*v - 359. What is n(11)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 394 - -7494. What is the hundreds digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*z - 2*z - 20. Sort -1, -5, z in descending order.\nAnswer: -1, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 715 and 3304561?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qahqbnhbhsnsshshhhh. What is prob of picking 1 a and 1 h?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*p - 2*i = -2, -28*p + 30*p + 4 = -2*i for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 72 = -58. Let s = g + -12. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -231952 or -231716?\nAnswer: -231952","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -27*z**2 + 233 + z**2 - 303 + 28*z**2 + 70 - 8*z**2.\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o**(-5))**(-36) assuming o is positive.\nAnswer: o**144","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5302625612?\nAnswer: 2, 41, 32333083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 2*s**2 - 6*s - 7. Suppose 6*g = 3*g - 219. Let k = 68 + g. Let a(n) = -2*n**2 + 5*n + 6. Determine k*i(b) - 6*a(b).\nAnswer: 2*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 821135990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 13 or -4\/493?\nAnswer: -4\/493","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 13721, -21, -7, -3 in increasing order.\nAnswer: -21, -7, -3, 1, 13721","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -110 - 203*h - 372*h**3 - 110 + 221 wrt h?\nAnswer: -2232*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 58044 is divided by 2313?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11 - -20021?\nAnswer: 20010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 131\/12 and 37\/144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (r - 2*r + 3*r + r)*(-231 - 395 - 416)*(2 + 0 + 0).\nAnswer: -6252*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.104, 2, 0.0312?\nAnswer: -0.104","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -12.9 or -0.108?\nAnswer: -12.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 66409\/(-212) - (-2)\/8. Let y = r - -328. Solve -14*k + 85 = y for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r**(-15\/4))\/(r**(-35)*r)*(r\/(r\/r**(-2\/3)))\/r*r\/(r\/(r**13\/r*r)) assuming r is positive.\nAnswer: r**(511\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (-219)\/68 + (-2678)\/(-824)?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -58*v**2 - 584 + 584 - 3*v**2 + 4 - 4 + (-2 - v + 2)*(5*v + v - 4*v) + 4*v**2 + 2*v**2 - 2*v**2.\nAnswer: -59*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (880 + 910 - 1733 - 3*g**2 - 2*g)*(-2 + 3 + 1) to the form l*g**2 + i*g + h and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 24*j**4 - 22*j**3 + 138 wrt j.\nAnswer: 96*j**3 - 66*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.102 times 141284?\nAnswer: -14410.968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1088) - ((2*sqrt(1088) + sqrt(1088))**2 - sqrt(1088)))*-3*-3.\nAnswer: -88128 + 144*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -212 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ie when two letters picked without replacement from eiiiiiieiiiiieieii?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 160*t + 2 + 152*t.\nAnswer: 312*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h - 29 = -5*z, 3*h + 17 + 6 = 4*z. Suppose -r + z*l = -0*r - 22, 5*r = -5*l - 40. Put 5, -1, r in ascending order.\nAnswer: r, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-25)\/((-3150)\/1836))\/((-21)\/49)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -3*q + 7. Let i(s) = s - 2. Let t = 9 - -17. Let p = t + -28. Suppose 5*j = -7 - 28. Determine j*i(x) + p*c(x).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 1400*j**2 + 8*j + 4. Let n(a) = -1343999*a**2 - 7678*a - 3839. What is 4*n(h) + 3839*u(h)?\nAnswer: -1396*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2639 - 2647 = -n. Does 30 divide (340\/n)\/(-17)*(-5836)\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (97\/5)\/(128\/20) and (-86)\/(-21)*6\/(-4)?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 614409254 to the nearest integer?\nAnswer: 850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gvvggggvvgg. Give prob of picking 1 v and 3 g.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2 + 1)\/(1\/9). Let j = 7 - z. What is the lowest common multiple of 12 and j?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m - 1 = -g, 3*g - 43 = m - 56. Let v(y) = -y**3 - 2*y**2 + 3*y + 7. What is v(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -5*m + 4*m - m**2 - 3*m - 4 - 6*m. Let r be g(-9). What is the highest common factor of r and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -113  (b) 3\/20  (c) -1\/3  (d) 19  (e) -3  (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 8\/2 - 76\/22. Let w = 0.3 - 1.3. Let b = -17 - -50\/3. What is the second smallest value in t, b, w?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 15.3543 + -18.3543. Let u = -0.07 - 0.23. Let h = -2.6 + 3. Which is the fourth smallest value?  (a) h  (b) u  (c) -0.1  (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -74 + 13 = 2*f + 5*w, -10*w + 5*w + 95 = -50*f - 0*w for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1 + 1*(-15)\/21. Put w, 4, 1 in increasing order.\nAnswer: w, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -3350, -6776, -10202, -13628?\n\"Answer: -3426*i + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2581 a factor of 1023459276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 49, 106, 173, 250, 337?\nAnswer: 434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from mmsmsfqsfskt?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -11 + (-10 - -31) - (-93)\/(-3)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4305564 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -6*d - 11. Let a(h) = -23*h - 19. Give a(y) - 2*g(y).\nAnswer: -11*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*t - 0*t. Suppose -3*f - 4*l + 930 = 0, -3*f + t*l + 945 = -l. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -107085, -33, 4 in increasing order.\nAnswer: -107085, -33, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -i**3 - 2*i - 8. Is 16 a factor of c(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (23*z - 8*z + 0*z)*(-z + 2*z - 4*z) in the form x + n*z + d*z**2 and give d.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -11 + 13. Suppose 0*o + 3*o = 9. Solve -3*l = 2*y - 5, h*y + l - 4 = -o*l for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 20250 and 9000.\nAnswer: 81000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*k + 5*c = -24, -62*k + 4*c = -59*k - 27 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -55091526*f**3*n*y**2 - 4*f**3*n*y + 3*f**3 - 8*f**2*y**2 - 260*y - 177 wrt n?\nAnswer: -55091526*f**3*y**2 - 4*f**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 1310059*n**4 + 858965 wrt n.\nAnswer: 5240236*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 8*10\/176 - -3*1\/(-6)?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4668 and 118256?\nAnswer: 354768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n - 21 - 19 = 0. Let r be n\/(-14)*(-3 - -10). Find c, given that -r + 7*c + 2*c - c + 0 - 8*c**3 + 4*c**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 21220 and 3728400.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1\/5, -3, 0, 17?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r - 10*c - 32 = -8*c, 4*r = -c - 26 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*u + u + 3*d + 30, 62*d = 5*u + 64*d + 8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*n + 2*n - 5*g + 15, n - 5*g + 3 = 0. Suppose -2*l + 18 = 5*a, n*a - 4 = 5*l + 9. Solve 0 = a*t - 2*t, -4*t + 5 = s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 1410 = -0*s. Let f be -1 + 377 + 1 + 1. Suppose a = f + s. What is a rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 10792985 + 6441666 = -2*a, -2*a - 17234642 = 2*l. Let f = 6117324 + a. What is f rounded to the nearest 100000?\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 25158 is divided by 12577?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.4, -2\/11, 901945, 11 in descending order.\nAnswer: 901945, 11, -2\/11, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 124*s - 305 = 63*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mohoohzomzjommhmzh. What is prob of picking 1 j, 1 m, and 2 h?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 6\/25 of a milligram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is j in 4*j**5 - 828712*j**4 + 42921066232*j**3 + 171693380864*j**2 + 214620248164*j + 85848762248 = 0?\nAnswer: -2, -1, 103591","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 19 - (-3 + -11 - -65)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 84*b**3 - 176*b**3 + 91*b**3.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 5*p = 20, o + 5*p - 3*p + 8 = 0. Solve 2*s + 3*s - 20 = o for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 divided by 4.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 10.6, 1, -1, -4.5?\nAnswer: 10.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -2*n + 6. Calculate the remainder when 33 is divided by t(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) be the second derivative of -13*m**4\/3 - 2*m - 34. Let p(c) = 2*c. Let h(j) = 4*j. Let x(d) = 2*h(d) - 6*p(d). Give x(k(u)).\nAnswer: 208*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*l**4 + 3*l**4 - 3*l**4)*(75 - 60 - 37).\nAnswer: 44*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 10*l. Let c(u) = 21*u**2. Calculate c(a(v)).\nAnswer: 2100*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -5*q**5 - 194*q**2 - 9040*q.\nAnswer: -100*q**3 - 388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 28 + -14. Let p be ((-1)\/(-2))\/((-7)\/d). Which is smaller: 8 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 39369\/(-4) + (-2)\/(-8). Let w = -157527\/16 - h. Let j = -20809\/8 - -2590. Find the common denominator of j and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v**(1\/6))\/(v**(-5)\/v)*v**5*v*v**9 assuming v is positive.\nAnswer: v**(133\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -19 + (-16 - (51 - (14 - -5)))\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -r**2 + 60*r - 456. Let y be s(9). Solve -4*h = 3*c - 7*c - 8, -h = -y*c - 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 299788 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -2522515 - 1?\nAnswer: -2522516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 125307.\nAnswer: 3, 7, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 29691?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3 + 8. Let x = -3 + s. Let p be (5 + 1)*-2*x. What is p rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 56*d + 370 + 69 = -1297 for d.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (7 - -1) + 2915\/55 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 164 and 10?\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) be the second derivative of -5*t**3\/6 - 1102*t. Let n(q) = 5*q + 2*q + 2*q. Calculate n(x(o)).\nAnswer: -45*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 8014, 59898, 199490, 470644, 917214?\nAnswer: 1583054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 197 minutes before 9:56 AM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ia when two letters picked without replacement from {e: 4, i: 5, a: 8}.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -447*s + 2257. Calculate the remainder when 1715 is divided by y(5).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 910542?\nAnswer: 2, 3, 29, 5233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -2*l**2. Let p(y) = -y**2 + 11. Give p(a(j)).\nAnswer: -4*j**4 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 318379067 to the nearest integer?\nAnswer: 17843","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:53 AM and 11:32 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 + 14 = 5*c. Suppose 4 = -c*z - 31. Let m(n) = -2*n - 8. Does 6 divide m(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*j - 2*u - 2*u + 8, 2 = -5*j + u. Let n = 20 - j. Does 4 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 40423 - -17?\nAnswer: 4043a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**13*f)\/(((f*f**(-8\/3)\/f)\/f)\/f*f)*(f\/(f\/((f\/(f**(-1\/11)*f)*f*f)\/f)*f))\/f*f*f*f**(1\/27)*f assuming f is positive.\nAnswer: f**(5879\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find q, given that -3*q**4 - 6*q**3 + 21*q**2 + 60*q + 36 = 0.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -255 + 131 + j**3 - 4*j**2 + 0*j**3 + 127. Determine u(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + -5 + 16 + 5 - (3 - -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 28008216 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3875808*u - 21*u**2 - 3875808*u - u**2.\nAnswer: -22*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -36 - -34. Suppose 99 + 81 = 4*i. Let n be (-9)\/i - 6\/(-5). Sort 3, q, n.\nAnswer: q, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q + 0*j = 2*j - 31, -2*q - 2 = -4*j. Differentiate q*v + 27 - 11*v - 5*v - 3*v with respect to v.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 34*c**3*y**2 + c**3*y - c**3 - 2*c**2*y**2 - 62*c*y**2 - 61*c*y + 101*y**2 - 63*y + 1 wrt y.\nAnswer: 68*c**3 - 4*c**2 - 124*c + 202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) be the third derivative of -86*q**9\/63 + 251*q**5\/60 + q**4\/24 + 2*q**2 + 242. Find the third derivative of s(c) wrt c.\nAnswer: -82560*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26 = -10*s - 36. Let y be (-3)\/624*-4*16\/18. Sort s, y, -2 in decreasing order.\nAnswer: y, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 11 + -22 + 26 + -12 + (-9 + 22 - 19)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-5 - 27\/(-6))*(3 + -3). Suppose p = 2*g + 3*i + 9, -3*g = -7*g - 4*i - 12. Solve g = -7*t + 5*t + 3*q - 5, 4*q = 12 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -6*u + 0*u**2 - 9*u**3 - 17*u**4 - 2*u**6 - 6*u**2 - 16*u**4 + 9*u**3 wrt u?\nAnswer: -240*u**3 - 792*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find n, given that 620\/3*n**2 - 76\/3*n**3 + 64 - 1312\/3*n = 0.\nAnswer: 3\/19, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -87 at most as big as -343\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 2*t + 3*j, 0 = -3*t - 4*j + 3 - 0. Let n(g) = 3*g**2 + 2*g - 1. Let i be n(-2). Suppose i = 2*d - 3. Solve 30 = -t*u + d for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 230423021424 + -4?\nAnswer: 230423021420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.047 - -0.283. Let c = -0.6 - -0.63. Let b = v - c. What is the second smallest value in b, -5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -6.49 + 6.6. Which is the third smallest value?  (a) -0.1  (b) o  (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = 74. Let n(q) = -q + 148. What is -2*n(w) + 5*r(w)?\nAnswer: 2*w + 74","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = p - 2*o - 465, 10*p - 14*p - o = -1896. Calculate the smallest common multiple of p and 43.\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -77\/12372 and 79\/2548632?\nAnswer: 2548632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -2*n. Let r(k) = k**2 - 4*k + 49. Let i(d) = -r(d) - 5*y(d). Find s, given that i(s) = 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 310 a factor of 104733654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -18, 603, -5, -40, 5.\nAnswer: -40, -18, -5, 5, 603","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 6537210 or 6537207?\nAnswer: 6537210","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1223 + -2978. Let d be (2\/(-5))\/(27\/y). Let o = d + -23. Calculate the highest common divisor of 3 and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 2\/4563  (b) -9  (c) 0.3  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -10, 5, -1, 4 in decreasing order.\nAnswer: 5, 4, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*q + 12*q - 12 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Add together -30 and 11460236.\nAnswer: 11460206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -a**2 - 5*a - 2. Let y = 25 + -5. Let z = y - 18. Let g be (30\/(-9))\/(z\/3). Determine v(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 331 and 54297.\nAnswer: 17972307","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Do 140 and -45 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43*p - 2*f = -42*p + 6, 4*f = -4*p - 12. Solve 6*w - w = -5*t - 10, -4*t - 3*w - 9 = p for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*s + 9 - 4. What is the remainder when 42 is divided by -11*((s - 0) + -2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -3 + (23 - 4\/(-2)). Let c(l) = 22*l + l**3 + 19 - 10*l - 13*l + 14*l**2. Let g be c(-14). Calculate the highest common factor of g and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -4*z**3 + 2*z - 5. Let k(p) = 6*p**3 - 3*p + 7. Let b = -886 - -891. Give b*k(s) + 7*u(s).\nAnswer: 2*s**3 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 2*t = -4*d + 158, 4*d + 4*t - 144 = 0. Let n(h) = -h**2 - h - 18. Let k be n(0). Let z = d + k. Calculate the smallest common multiple of 14 and z.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j + 5 = -3*i, 2*i - 5 = -4*j + 5 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -28 + 41. Let d = v - 18. What is the nearest to -2\/3 in -0.07, d, -2?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45 = 2*u + 3*u - 2*y, 5*y + 45 = 5*u. Let w = -6 + u. What is the least common multiple of 3 - 2*1\/2 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(5700))\/(3*sqrt(3)*-1).\nAnswer: -10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 81*s*z**3 + 10*s - 12 with respect to z.\nAnswer: 243*s*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -242, 52, -2, -3, -4, 4, 16 in decreasing order.\nAnswer: 52, 16, 4, -2, -3, -4, -242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 1, y: 1, p: 3, h: 2}. What is prob of picking 1 s and 2 p?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 2*l**2. Let k(i) = 15*i**2 + 30*i + 1. What is k(r(v))?\nAnswer: 60*v**4 + 60*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-42)\/(-3)*(-5)\/(-10))\/((-21)\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -8*i*k*x**3 - i*k*x - i*k + 17*i*x**2 - 3*i*x + 2*k*x - 10*x**2 - 2 wrt x?\nAnswer: -48*i*k*x + 34*i - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -4*r - 21. Let t be v(-6). Suppose 3*o = w + 5, -1 = -5*o - t*w - 2. What is the tens digit of 29 + (1 - o) + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 14010 (base 5) to base 11\nAnswer: 938","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6730 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(1\/7))**(-3\/31))**46*(b**(-2\/9)\/(b*b**(2\/7)*b))\/(b**(-1\/5)*b)**(-10\/3) assuming b is positive.\nAnswer: b**(-932\/1953)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x\/x**(1\/12))**(-29) assuming x is positive.\nAnswer: x**(-667\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:22 AM and 12:14 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.914588ml in litres?\nAnswer: 0.004914588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 8\/(-6)*29\/(116\/1584). Let k = -523 - a. Let w = 39 + -19. Solve k = 3*d + w for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 27806213?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -0.0004 + 16.8189\nAnswer: 16.8185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 2, i: 1, y: 1, k: 1}. What is prob of sequence yi?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 4, n: 2, k: 1}. What is prob of picking 1 k and 1 n?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide -10364 by 1.\nAnswer: -10364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 2*o**3 + 4*o**2 + 4*o + 3. Let v(t) = -t**3 + 1 - 4 - 4*t + 7*t**2 + 1. Let x be v(6). Suppose 8*f + x = 3*f. Give r(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5580.\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -15285934*l**5 - l**4 + 47*l**2 - 13*l - 15883 wrt l.\nAnswer: -917156040*l**2 - 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let 1\/5*v**2 + 1\/5*v + 0 = 0. What is v?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2\/43  (b) -5  (c) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*x = 30*x - 1768. Differentiate -9250*g - x + 37*g**4 + 9250*g - 2*g**2 wrt g.\nAnswer: 148*g**3 - 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -2*j**2. Let w(f) = -6*f**2 + 1844*f + 37. Give w(z(t)).\nAnswer: -24*t**4 - 3688*t**2 + 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2186 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1978 and 86.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -2*q**3 + 63*q**2 - 35*q + 124. Let b be o(31). Solve 3*c + 5*w + 6 - 15 = b, 4 = 4*c + 4*w for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -4, 198, -1\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 682 minutes before 7:40 PM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -37\/3830 and -51\/14.\nAnswer: 26810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 126\/(-45)*-15*2\/3*(-15)\/10\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 40, 50, 74, 118, 188?\n\"Answer: g**3 + g**2 + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2110, 2107, 2092, 2059, 2002, 1915?\nAnswer: 1792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -79764031\/2 or -39882015?\nAnswer: -39882015","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 212 is divided by 74?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 2*n**3 + 11*n**2 - 9*n - 21. Let a be f(-6). Let w be ((-160)\/24 + 6)*a. Solve w*q = 17 - 7 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2810*j**3 - 74542*j**2 - 330369869*j wrt j.\nAnswer: 16860*j - 149084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -h**2 - 71*h - 25. Let i(s) = -35*s - 10. Determine -5*i(p) + 2*m(p).\nAnswer: -2*p**2 + 33*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 85355552 is divided by 52.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*p + 3*p + 23. Let f be (p\/3)\/(2\/(-6)). Let g be (f - (0 + 1))\/2. What is the highest common factor of g and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 5*m + x + 6 = 0, -2*m + 14 = 5*x. Suppose m*l + 40 = 7*l. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - 3 + 6 = 0. Let m be (-1)\/((-4)\/3 - -1). Solve -2*l - l - m = 2*s, -5*l + x*s - 5 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -c (base 14) to base 6\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -6768, -13536, -20304, -27072?\n\"Answer: -6768*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(3*(sqrt(91)*1 - sqrt(91)) + 2*sqrt(91)*-2 + sqrt(91)))\/((sqrt(567) - -2*2*sqrt(567))*-3).\nAnswer: -4*sqrt(13)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 216 and 6840?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0003478400946 rounded to five decimal places?\nAnswer: -0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 51 divide 17283543?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -12.0663709 rounded to three decimal places?\nAnswer: -12.066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 228 and 874.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) be the third derivative of -o**5\/60 - 7*o**4\/24 + o**3\/2 + o**2. Let p be u(-7). Solve c + 8 = p for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1378460443 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 101.9 to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 18353348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = b**4 - b**2 - b + 1. Let q(s) = 6*s**2 + 36 - 1 + 109*s**4 - 113*s**4 + 15*s. Let j(c) = 6*a(c) + q(c). Find the first derivative of j(l) wrt l.\nAnswer: 8*l**3 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -2\/5  (b) 0.3  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) be the third derivative of 283*a**5\/30 + 19*a**4\/24 + 25*a**3\/2 - 44*a**2 - 1. Is r(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -26 + 29 - (3 + (11 - 9))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 688 minutes before 1:35 PM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 271 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 23004 + -16064. What is the hundreds digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -152 + -491173881.6?\nAnswer: -491174033.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5352714 is divided by 1709?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -112*u - 32 = -120*u + 24 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -4*x + 2*v, -4*x - 5*v = -0*v + 41. Let w be x\/14 + (-120)\/(-28). Let o be (2\/w)\/((-1)\/(-6)). Solve 5*j + 0*j = 3*f - 30, -o*j + f = 14 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 103\/14 and 60\/847.\nAnswer: 1694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-324)\/(-3))\/(-36))\/((-4)\/(-1)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*x + 14*x = 19 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.8106 minus 615434521?\nAnswer: -615434523.8106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16 + -47 - (-23 - -2).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -17*p**2 - 2*p - 1. Let l be u(-1). Let m = 28 - 14. What is the remainder when 4\/l + 322\/8 is divided by m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (0 - (-288)\/(0 - -3)) + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9 + 12 - 6)*(4*v + v - 2*v).\nAnswer: -9*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.06 and -14679.\nAnswer: 880.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -30167397*x**6 - 1106*x**2 + 11*x + 21 wrt x?\nAnswer: -3620087640*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.003 + 1.003. What is the biggest value in l, 3, 1\/14, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {i: 11, q: 1, y: 6}?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 607 minutes after 12:51 PM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ny when two letters picked without replacement from ymznmquy?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 21 + -13. Let w = -3.3 - 0.7. Let f = n + w. Which is the second smallest value?  (a) -2  (b) f  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 32624 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -114*s + 94*s = 220 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 73, -27, 17, 2, -5 in decreasing order.\nAnswer: 73, 17, 2, -5, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 24403 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) be the first derivative of x**6\/360 + 13*x**5\/120 - 7*x**4\/12 + 17*x**3\/3 - x**2\/2 - 1. Let g(q) be the third derivative of m(q). Factor g(u).\nAnswer: (u - 1)*(u + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -v**3 + 2*v**2 + 9*v - 3. Let g be j(4). Suppose -n = g - 4. Suppose -5*x = n*s + s - 700, 5*x - 715 = -s. Is x a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) be the third derivative of a**10\/151200 - a**8\/20160 + a**5\/12 - a**2. Let g(r) be the third derivative of m(r). Find o such that g(o) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*k + 182258*k**2 + 0 - 182317*k**2 + 44*k**3 - 2 + 0*k to the form s + f*k**3 + u*k**2 + o*k and give u.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(198)*1*-1)\/(sqrt(294) + -1*sqrt(294) + sqrt(294)))\/(6*-3*(sqrt(3888) - sqrt(48))).\nAnswer: sqrt(11)\/4032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 143517767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*z + 3*z + z)*(3*z - 4*z + 2*z)*(3 + 2 - 3)*(-13 + 0 - 199511*z + 199487*z).\nAnswer: -96*z**3 - 52*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -9183870, -18367739, -27551608, -36735477?\nAnswer: -45919346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.06 * -25.9155.\nAnswer: -1.55493","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (1 + -44)*(6\/6 - 2). Suppose m + 2*o - 1415 = -2*m, -10 = 5*o. What is the greatest common divisor of u and m?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = h - 26. Let x = 1 - 6. Calculate the least common multiple of (-2 + x\/(-2))*18 and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m and 2 g when four letters picked without replacement from mggmggmmmmmggg.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3\/5 in 4, 3\/8, -679517?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 55\/44 + 1\/(-4). Let g be (a - (-3 + 3))*45\/(-5). Let o(n) = 2*n**2 + 13*n + 6. List the prime factors of o(g).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 323 = 308. Suppose -4*t + 3 = -3*t - 5*h, 5*t = -h - 11. Let q be t\/(-4)*(-2)\/4. Which is the nearest to 2\/7?  (a) k  (b) 3  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 13.962 and 0.063925.\nAnswer: 0.89252085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1321, -1, 9358, -18 in increasing order.\nAnswer: -18, -1, 1321, 9358","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 66 - -80. Suppose z = -117 + h. Calculate the remainder when 83 is divided by z.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1 - 1. Let u(g) = g**2 + 14*g + 15. Let h be u(-13). Suppose h*q = q + 15. Solve w = i - 4*i + q for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ccsfmso. Give prob of sequence csm.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 12 + -6. Let i be ((-2)\/(-22))\/(3\/p). Let z = -0.019 - -0.119. What is the third smallest value in i, z, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 759041391 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tiktttsttykittyty. Give prob of picking 1 i, 1 s, and 2 y.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*l**2 - 5992992*l - 5992996.\nAnswer: 4*(l - 1498249)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*z**3 - 32583*z**2 - 32562*z + 195480.\nAnswer: -3*(z - 2)*(z + 3)*(z + 10860)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -8447, -8019, -7315, -6341, -5103, -3607?\n\"Answer: -f**3 + 144*f**2 + 3*f - 8593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:29 PM and 5:40 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4172 and 250572?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of q*s**3 + 13*q*s**2*z - 2038066*q*s**2 - 1648*q*s*z - 5*q*s - q*z + 20*q + s**2 - 69*s*z - z + 2 wrt s.\nAnswer: 6*q*s + 26*q*z - 4076132*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*z**2 + 2*z**2 + 0*z**2)*(594*z - 9*z**2 - 594*z) - 2*z + 2*z - 3*z**4.\nAnswer: -21*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/16, 1, -3 in decreasing order.\nAnswer: 1, -1\/16, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -d. Suppose -l = -0 - 2. Suppose -7*z + l*z + 20 = 0. Let t(w) = -2*w - z*w**2 + w + w. Determine t(m(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -235 - -282. Suppose 41*k - f*k + 720 = 0. Let n(o) = -o**3 - 2*o**2 + 8*o + 6. What is the remainder when k is divided by n(-5)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 24437987 to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -6 - -4. Is 876\/18 + n\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine n, given that n**2\/5 + 17985278*n\/5 - 17985279\/5 = 0.\nAnswer: -17985279, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put together 3 and 6016163.423798.\nAnswer: 6016166.423798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 110010010111010 (base 2) in base 11?\nAnswer: 18412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) be the third derivative of 41*y**4\/8 + 4*y**3\/3 + y**2. Does 16 divide w(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.5  (b) 3\/13  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find d such that 1\/5*d**2 - 83\/5*d + 0 = 0.\nAnswer: 0, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1 + (-12)\/(-8) - 4. Let a = 2.4 - 0.4. Sort 1, a, d.\nAnswer: d, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 16) in base 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.2319034 hours to microseconds.\nAnswer: 834852240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 38 - 1 - ((-4 - 6) + 8). Suppose -s*k + 682 = -28*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:41 PM and 7:35 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 99*s**3 + 99*s**3 - 310*s**3 + 97*s**3.\nAnswer: -15*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 8\/8*74*(1 - 0). Calculate the greatest common divisor of o and 4736.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*c**4 + 42*c**3 - 86*c - 145 + 145 - 41*c**3 to s*c + p*c**4 + g*c**2 + y + f*c**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express r**2 - r**3 - 13*r**3 - 7*r**3 - 45*r**3 - 1 in the form o*r + v*r**3 + z*r**2 + q and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(325) + 5 + -2*sqrt(325) + sqrt(325) - sqrt(325))**2.\nAnswer: -50*sqrt(13) + 350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 6 = 0, 49 = -3*h - 4*f + 124. Calculate the highest common factor of h and 168.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -5064.8 to the nearest 10.\nAnswer: -5060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 - 11) + -129 + 217?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -15 greater than 1064231?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 27  (b) -2  (c) 5  (d) 1\/4  (e) 1.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3324798646.\nAnswer: 2, 13, 4261, 30011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 344, 375, 428, 503, 600?\nAnswer: 719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-8 - 8)\/(-48) + -2 + (-5)\/6. Put 9, 2, 1\/4, p in descending order.\nAnswer: 9, 2, 1\/4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -235070 by 5.\nAnswer: -47014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 83, 106, 129, 152, 175, 198?\n\"Answer: 23*h + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -49, -0.2, -5\/4, 1\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 570 (base 16) to base 3\nAnswer: 1220120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1536 and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -0.18616 times -0.661\nAnswer: 0.12305176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1540 take away 0.08055785959?\nAnswer: 1539.91944214041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 3 - 323?\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000224651 rounded to five dps?\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 20106, 161453, 545284, 1292841, 2525366, 4364101, 6930288, 10345169?\n\"Answer: 20207*p**3 - 102*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m*m\/(m\/m**(1\/3))*m*m*m)**(-41)*(m**0*m*m)**17 assuming m is positive.\nAnswer: m**(-554\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 527, 986, 2213, 4586, 8483?\n\"Answer: 63*u**3 + 6*u**2 + 458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 624 minutes after 5:01 AM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -3 + (3 + -3 - -3). Suppose t = -2*d + d + 4. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 98288, 98303, 98328, 98363, 98408, 98463?\n\"Answer: 5*u**2 + 98283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 p and 1 w when four letters picked without replacement from rpppw?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -133 - -135. Find the second derivative of 27*x**t - 18*x - 112*x**2 + 65*x wrt x.\nAnswer: -170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 3 + 2)*(-2 - 7 + 2)*(-1 - 2*h**2 + 1).\nAnswer: 14*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 25, 52, 81, 106, 121, 120, 97?\n\"Answer: -c**3 + 7*c**2 + 13*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -14656 divided by 2?\nAnswer: -7328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) be the third derivative of -3*n**8\/7 - n**5\/20 + 2*n**4\/3 - 92*n**2. Find the third derivative of d(l) wrt l.\nAnswer: -8640*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 5, 10, -147, -3 in descending order.\nAnswer: 10, 5, 1, -3, -147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0018917 rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -y**3 - 75*y**2 + 372*y + 17. What is l(-80)?\nAnswer: 2257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -6 times -1.6\nAnswer: 9.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = -2*u - 24. Let j = u + 8. Let p be 3\/(3 + 44\/j). Calculate the highest common factor of p and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -4*x**3 + 57*x**2 + 7*x + 196. Let b be w(13). Which is smaller: 1130 or b?\nAnswer: 1130","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4677783 (base 9) to base 3\nAnswer: 11202121212210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -7876, -1.1, 1\/27 in descending order.\nAnswer: 1\/27, -1.1, -2, -7876","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1134?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) be the third derivative of 2*d**5\/15 - 240*d**2. Let i(o) = -55*o**2. Determine i(g(f)).\nAnswer: -3520*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -82 + 86. Suppose 4 = r*s - 5*o - 14, 2 = o. Let k(a) = 17*a - 30. Let b(d) = -33*d + 59. Let t(p) = s*k(p) + 4*b(p). Differentiate t(f) wrt f.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 276*p**3 - 386*p**2 - 344*p + 24 = 0. Calculate p.\nAnswer: -2\/3, 3\/46, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -21*h**4 + 875*h**3 + 5*h**2*u - 4*h*u - 2*h - 3057 wrt h?\nAnswer: -252*h**2 + 5250*h + 10*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -13*s**2 - 9*s - 5. Suppose 33 = -5*y - 57. Let f(n) = 3*n**2 + 2*n + 1. Let d(p) = y*f(p) - 4*q(p). Factor d(i).\nAnswer: -2*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*u + 90608 = 8*u. What is the second derivative of 34 + 7*a**3 - 6472*a**2 - a + u*a**2 wrt a?\nAnswer: 42*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -78*t**2 - 3*t - 4. Let w(m) = 2*m**2 - 2*m - 2. Let n be w(0). Let r be h(n). Let o be (9 - 9) + (-4)\/r. Are 1 and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 39968260153 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 3, l: 2, b: 1, e: 1, m: 6}. Give prob of picking 2 l.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-124)\/(-56) - (-87)\/(-406). Determine r so that 2\/7*r**n - 2*r**4 + 4\/7*r**3 + 0*r + 0 + 8\/7*r**5 = 0.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from aaay. Give prob of sequence aa.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 70*l + 11. Give p(2).\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1394, -5603, -12618, -22439?\nAnswer: -35066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 1115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -2*c**2 - 2*c. Let l(n) = 5150*n**2 + 5*n + 1. Calculate -l(z) - 2*q(z).\nAnswer: -5146*z**2 - z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 5, q: 7}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 14\/1875 + -213\/625. Is k at most as big as 6\/617?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 161807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -593 + 593 - y**2.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (4 + (6*(sqrt(3) + 1)*-6 - ((-1 + sqrt(300) - sqrt(300)) + -5)))**2.\nAnswer: 1872*sqrt(3) + 4565","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.1062712307 to five dps.\nAnswer: 0.10627","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5389945.\nAnswer: 5, 11, 59, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = t**3 - t**2 - 9*t. Let u be k(4). Suppose -u*a - 24 = -15*a. Let b(f) = f**3 - 7*f**2 - 3*f - 7. What is the units digit of b(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 59, 243, 553, 995, 1575, 2299, 3173?\nAnswer: 4203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) be the third derivative of -k**7\/840 + k**6\/60 - k**5\/20 + 6*k**3 - 12*k**2. Let r(y) be the first derivative of q(y). Give r(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 233 is divided by 220.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -9*q**2 + 106*q + 13. Calculate z(12).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 15597 and 74592.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 14131214 - 12?\nAnswer: 14131202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 327 is divided by 37.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sljssssjsssssjr. Give prob of sequence jjr.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 208, 212, 216, 220?\nAnswer: 224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = s**3 + 8*s**2 + 6*s - 10. What is n(-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38*r - 58*r - 78*r + 1568 = 0. Solve 5*u - r*u = -66 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -6.1 - -6. Let r = 0 - u. Let y = -0.2 + -0.8. Which is the nearest to -2?  (a) 2\/7  (b) y  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 73, 2\/11, 1\/39746 in decreasing order.\nAnswer: 73, 2\/11, 1\/39746","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -h**4\/6 - 35*h**3\/3 + 104*h**2.\nAnswer: -h**2*(h - 8)*(h + 78)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(76) + -5*(sqrt(76) - sqrt(76)*-3))\/(sqrt(44)\/sqrt(176)).\nAnswer: -76*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j = 4*u + 2*j - 3503, 0 = -2*j - 2. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 49 - 33. Suppose 0 = -2*f + 3*z - b, 7 = -f - 3*z - 19. Let s be (2340\/f)\/(21\/(-49000)). Round s to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-5 + 7)\/(-2)*-1 + 3074. Let z = -1418 + i. List the prime factors of z.\nAnswer: 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xxkxxxxxxxxk. Give prob of picking 2 x.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -93, -406, -937, -1686?\nAnswer: -2653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1088529 rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1475)\/7375*2\/(-20).\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2)\/11 + (138\/11)\/3. Suppose 0 = 4*v - 2*q - 4, 2*v - g = 3*q + 2. What is the closest to v in 1\/7, 1\/8, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -25 - -17. Let i be (-135)\/6*(m + 2). Suppose 3*j + 2*j - x - 633 = 0, 4*x = -j + i. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 532242780?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*g - 4*y + y + 145, -g = 4*y + 29. Round g to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 431207?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 127\/2154 and 3\/359.\nAnswer: 2154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g + 6 = -4*t + 104, 94 = 4*t + 5*g. Let u = -9 + t. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f - 51 = -3*k, -k - 4*f = -31 + 8. Let x be 4\/30 + 43\/k. Let o be (-4 - (-12)\/x)\/(-2). Solve o = -l - l + 10 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) be the third derivative of t**5\/15 + t**4\/12 - 2*t**2. Suppose -25*z + 232 = -3*z - 54. What is the remainder when u(-5) is divided by z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*y - 52 = 4*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 22056 divided by 5514?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 9\/(-24) - 596\/32. Let l = h - -175. What is the greatest common divisor of l and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 77 and 332735788?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = m + 4. Let d be t(-4). Let b be 95\/(-111)*(2223\/18 + -2). Let c = 104 + b. Is c bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 206 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -11*s + 98. Let y be u(8). Suppose 123*g - y = 118*g. Which is the smallest value?  (a) -5  (b) -11  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*j**2 - 3*j**4 + 10 + 19 + 6*j**3 + 3*j**2 + j - 30 in the form l + t*j + d*j**4 + b*j**3 + i*j**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1014 + -425?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y + 11 = -1. Let p be (y - 0)\/(1 + -3). Is (-2)\/(4\/(-3))*p even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = q**3 + q**2 - 1. Let x(j) be the first derivative of j**4\/2 + 5*j**3\/3 - 5*j - 1. Suppose 7*m - 12 = -47. Determine m*z(f) + x(f).\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 711819440.760002691 - 711819378.34. Let q = -62.42 + r. Round q to seven dps.\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j = -4*p + 1 + 1, 5*j - 10 = 4*p. Factor 1\/3 - 2\/3*b + 1\/3*b**j.\nAnswer: (b - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 2*t + 7. Let s be p(-5). Let o be 1 - (s + -2 + 0). Solve -7*a = -4*a - o for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**(1\/41)*u**(4\/13)*u*u**(6\/13)*u**(-6) assuming u is positive.\nAnswer: u**(-2242\/533)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 2*o**2 + 6*o - 3. Let v(m) = m - 5. Let k be v(8). Suppose -k*z = 13 + 5. What is the remainder when r(z) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 177 and 4366.\nAnswer: 13098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*s - 35 = 13. Calculate the highest common divisor of s and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -4256\/135 + 158\/5. Does t = -0.08?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 16883782*a**3 + 3*a**2 + 6140*a - 446.\nAnswer: 101302692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 10*a + 12*a - 27*a + 8 - 3*a + 4*a + 0*a + (5 - 3 + 0)*(4*a + a - 4*a).\nAnswer: -2*a + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (30\/(-9) - -3)*-3*(-17 - -4).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2005490 to the power of 1\/3, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 741357, 741350, 741337, 741318?\n\"Answer: -3*l**2 + 2*l + 741358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2103, -2079, -2043, -1995?\nAnswer: -1935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -6cd9 (base 16) to base 6.\nAnswer: -333001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = b**2 - 67*b + 90. Let f be s(54). Let c = f + 639. Calculate the remainder when 134 is divided by c.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 587 minutes after 1:30 AM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2 - -2) + 11 - 2. Let j be (-4)\/6 + 42\/o. Solve -3*m - 13 + j = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 61 divide 29894331?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -112010211220 (base 3) in base 2?\nAnswer: -1000011111101011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 374 a factor of 3354032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 10033 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -16*j**3 - 9*j**2 + 11*j - 11. What are the prime factors of v(-4)?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d + 4*v = -12, -3*d + 2*v + v = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/x**(2\/15)*x*x\/(x**(-5)*x))\/((x**(-2)*x)\/x**6)*(x**(-2\/11)\/(x**(-3)*x*x*x*x*x))**(-22) assuming x is positive.\nAnswer: x**(928\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3124\/13?  (a) 0.3  (b) 5\/3  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -143*h - 121*h**2 - 284*h + 1281*h**2 wrt h?\nAnswer: 2320","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 98289683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1433 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u and 1 m when two letters picked without replacement from {x: 3, u: 1, m: 2, a: 1, g: 3}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 91392 a multiple of 768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.87 - -0.07. Let m = -0.2 + v. Let u = -7 - -9. Which is the nearest to 2\/3?  (a) u  (b) -2\/13  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38 - 2 = 4*x. Solve d - 6 = -x for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 - 3 = 2*y. Suppose -4*f = y, 2*j + 0*j - 10 = 4*f. Suppose -d = -6*d - j*c + 20, 2*c = -4*d + 18. Calculate the highest common factor of 56 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from acmoaooaazoooaaama.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 456, 647, 838?\nAnswer: 1029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1636, -13099, -44206, -104779, -204640, -353611?\nAnswer: -561514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c + 12 = 3*r, -8*c = -5*c. Suppose -r*s + 499 = 3*q, -3*s + 4*q + 223 + 145 = 0. Is s a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -5*h - 8. Let f(w) = w**3 + 7*w**2 + 9*w + 7. Let t be f(-6). Let q(x) = 9*x + 15. Let l(r) = t*c(r) - 6*q(r). Calculate l(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (g + 6*g + 4*g)*(17 + 1 + 49 + 12) in the form i*g + f and give i.\nAnswer: 869","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is (1290\/(5 + -3 + -1))\/2 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = p**2 - 19*p + 14. Let y be n(15). Let z be y\/(-14) + -1 + 10\/14. Solve -o - 5 = -z for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -32746 at least as big as -32745?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -122 (base 14) to base 5.\nAnswer: -1401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1101110011 + 1000000?\nAnswer: -1100110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 1 p when two letters picked without replacement from {p: 1, l: 1, x: 4, k: 9}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) be the second derivative of m**6\/120 - m**4\/24 + m**2\/8 - 27*m. Factor t(f).\nAnswer: (f - 1)**2*(f + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*j + 4*f + 25 = 0, -4*j - 10587 + 10619 = -4*f for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -8*k + 1. Let i be c(-8). Let t = 67 - i. Suppose 5*f = y - 13, 2*f + t*f - 16 = 0. List the prime factors of y.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c**4\/5 - 257*c**3\/5 + 7791*c**2\/5 + 30096*c\/5 + 13068\/5 = 0. Calculate c.\nAnswer: -3, -1\/2, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 546\/364*1*8\/(-90)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1101 + 10101?\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 67 - -67. Let s = m + -83. Factor -s*v + 8 - 69*v**2 - 27*v**5 - 186*v**3 - 75*v**2 - 14 - 114*v**4.\nAnswer: -3*(v + 1)**4*(9*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 139 minutes before 2:31 PM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = h**3 + 17*h**2 - 19*h - 8. Let u be z(-18). Let p = 5 - 3. Let -2*w + 7*w**4 - u*w**4 - 4*w + w**2 + 8*w**p = 0. Calculate w.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine u, given that -4*u**4 + 18*u + 10 + 6*u**4 + 30*u**2 - 10 + 14*u**3 = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = s**2 + 8*s + 12. Let t be w(-6). Let g be t\/((-1)\/((10\/(-4))\/(-5))). Let 0 + 2\/11*v**4 - 2\/11*v**2 - 2\/11*v**5 + 2\/11*v**3 + g*v = 0. What is v?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of ((-19)\/57*-33)\/(414\/39) and 133\/234.\nAnswer: 5382","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6 - (23 - 1)) + (27 + -15 - 1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (13398\/274659)\/((-2)\/(-3813)).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -65137*v - 521169. Determine x(-8).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 20249.3 rounded to the nearest one hundred?\nAnswer: 20200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -5, -3, -7, -8 in descending order.\nAnswer: 2, -3, -5, -7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -74\/13475 and 27\/25025?\nAnswer: 175175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -568\/17*q**2 + 8\/17 - 2270\/17*q.\nAnswer: -2*(q + 4)*(284*q - 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -302323432 - -3?\nAnswer: -302323424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 4, p: 3}. What is prob of sequence kk?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 69189*b + 137*b**4 - 1 - 69186*b - 1 to s*b**3 + d*b + v + a*b**4 + y*b**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 3 g when four letters picked without replacement from gaaaaaagahagaggaaa?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.2  (b) 90  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(448) - -2*sqrt(448)*-3 - (-1 + sqrt(448)*-1 + sqrt(448)).\nAnswer: -40*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -138549 rounded to the nearest one hundred?\nAnswer: -138500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -117, -177, -235, -291, -345, -397, -447?\nAnswer: -495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -m**3 - 25*m**2 - 20*m + 107. What is f(-24)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-23))**49*w**(-2\/57)\/w**(2\/75) assuming w is positive.\nAnswer: w**(-1606063\/1425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -402*j + 400*j + 202*u + 129*u + 1324, -2*u = 8 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 7*a - 2*a + 4*m, -26 = -5*a + 3*m. Suppose -4*w = -0*w - g + 5, 5*g + 7 = a*w. Let l be (12 + (-6)\/w)\/1. Is 14 greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -3060 + -7?\nAnswer: -3067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 1 + 5)*(3*b - 2*b + 5*b)*(6 + 4 - 2).\nAnswer: 336*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -0.1 or -50\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -1 + 51\/(-3)*-1. Let f be (-3)\/(j\/(-4) - -3). Suppose 4*m = f*m - 5*q + 11, 4*m + 4*q = 92. Calculate the highest common factor of 65 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 438 and 49321209?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -5.5 - -0.5. Let x = 5 + q. Which is smaller: x or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) be the second derivative of 115*r**3\/3 + 89*r**2\/2 - 6*r - 1. What is the derivative of o(q) wrt q?\nAnswer: 230","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 212 or 97987\/460?\nAnswer: 97987\/460","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*c = 38*c - 42 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -38?  (a) -0.4  (b) 5  (c) -0.1  (d) -6  (e) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1\/(10\/54) - 56\/140. Let l be (20\/(-8))\/((-1)\/(-2)). Sort -1, i, l.\nAnswer: l, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {w: 5, j: 1, p: 8, d: 3, n: 2}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 33589 < 33584?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3393 - 3384. What is the nearest to 0.07 in p, 3, -0.3, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/7 in 2\/3, 5, -0.5, 6\/5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + l = -498. Let f = -243 + l. What is the remainder when 40 - (-3 + 0 + 2) is divided by f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 15 = -2*t - 3, -4*f + t = -30. Let a(p) = -6*p**2 + 2*p - 1. Let b be a(1). Put b, f, 5 in increasing order.\nAnswer: b, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*u = -4*y - 12, 3*u + 2*u - y = -6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -25.33 - -28. Let d = -0.33 - h. Let g = -25.7 + 26. What is the nearest to d in g, 0.1, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 52*y**3 - 7 + 47*y**3 + 7*y**2 + 61*y**3 + 22 + 2*y - 156*y**3 to v*y**3 + f*y**2 + d + n*y and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*x = -84*x - 800 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 51365479 to the nearest integer?\nAnswer: 7167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) -1\/69  (b) -275  (c) -5  (d) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 18.340476625 rounded to one dp?\nAnswer: 18.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1835\/336 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3 + 2. What is the third derivative of 2*p**5 + 2*p**2 + p**5 - 4*p**b + 4*p**5 wrt p?\nAnswer: 180*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -15816*f + 1074*f**2 + 15816*f + (2*f - 4*f + 4*f)*(4*f - 3*f + 5*f).\nAnswer: 1086*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = -129 - 234. Let n = x - 241. What is the remainder when n is divided by 39?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -6*k - 1. Let j be r(-1). Suppose -10 = -0*v + j*v. What is the least common multiple of 2 and 6\/(-1 + (-5)\/v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/((k\/k**(2\/5))\/k*k))\/k*k)**(-9)\/((k*k\/(k*k*k**(-3)\/k))\/k**(-3\/2)) assuming k is positive.\nAnswer: k**(-91\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1320313 - -31?\nAnswer: -1320222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 157192 - 112070. Does 7 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 201*x**2. Let u(k) = 3*k**2. Determine u(c(m)).\nAnswer: 121203*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -3 times 17.7\nAnswer: -53.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d = -2*h - 428, 3*h + 241 = 3*d - 83. What is the second biggest value in d, -1\/9, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (2*(7 - 8))\/((-1)\/46). Suppose -3*g + d = -2*i - 706, -4*g + 1059 = -i. What are the prime factors of g?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 1\/10 of a kilometer?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 3636971581 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -43586000 to the nearest one hundred thousand.\nAnswer: -43600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 474 = 4*v, -24*j + 1152 = -19*j - v. Find the common denominator of 175\/(-176) + 0 - (-42)\/j and 23\/500.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find c such that c**4\/10 + 3*c**3\/2 + 11*c**2\/10 - 279*c\/10 + 126\/5 = 0.\nAnswer: -12, -7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4340 and 49030220.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (1\/(-1))\/(1\/(-5)). Let v(x) be the third derivative of 0 - 1\/240*x**h + 1\/160*x**6 + 0*x**3 + 0*x - 2*x**2 + 0*x**4. Suppose v(c) = 0. Calculate c.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = u**2 + 36*u + 234. Does 13 divide m(-39)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = 4*u + 1. Let n(z) = 63*z**2. What is n(m(d))?\nAnswer: 1008*d**2 + 504*d + 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-5)\/2)\/(135\/(-162))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(5) - (sqrt(20)\/(sqrt(4) - 2*sqrt(4)))**2 - 1*sqrt(5)*-1 - (sqrt(80)*-2 + -1).\nAnswer: -4 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/2 in 2, 0, -1067, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000001027 rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3.22 + -2.72. Which is the nearest to 1\/2?  (a) -3\/2  (b) 10\/7  (c) t  (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 50\/35887 and -33\/901.\nAnswer: 1902011","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*i + 3*d - 929, -4*i + 5*i - 221 = -3*d. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -44*d. Let l = 127 + -203. Let s = -63 - l. Let n(b) = 6*b**2 + 5*b**2 - s*b**2. What is n(f(g))?\nAnswer: -3872*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 3, d: 3, c: 1, f: 3}. Give prob of picking 1 d and 2 f.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-48)\/(-32)*10\/(-75). Let c = -1\/361 - 707\/5415. Let z = 31 - 44. What is the fourth biggest value in z, c, 3\/7, f?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 15*v**3 + 6*v**2 - 19*v - 16. Let l(s) = -7*s**3 - 3*s**2 + 9*s + 7. Let t(b) = -6*k(b) - 13*l(b). What is t(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (0\/4)\/(-2*1). Let w = 15.8 - 11. Let j = w - 4.3. Which is the biggest value?  (a) 2  (b) d  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 171089*x - 171054*x - 1190 = 0 for x.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.68784 to 2 dps.\nAnswer: 2.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 105 a factor of 7317760?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*t**3 - 5*t**3 + 434*t**2 - 3*t**3 + 4*t**3 + 7*t**3 to o + k*t**2 + v*t**3 + m*t and give k.\nAnswer: 434","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o**5\/13 - 14*o**4\/13 + 38*o**3\/13 - 50*o**2\/13 + 32*o\/13 - 8\/13 = 0 for o.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -552, -680, -804, -924, -1040, -1152?\nAnswer: -1260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*w**2\/7 + 154636*w + 1082454\/7.\nAnswer: -2*(w - 541227)*(w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -30*t**2 + 79*t**2 - 47*t**2 - 85*t to the form z + l*t + s*t**2 and give l.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 101\/5256 and -49\/24.\nAnswer: 5256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5005*s**2 + 7551*s**2 + 7703*s**2.\nAnswer: 10249*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 593, 589, 589, 593?\nAnswer: 601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + t = -k + 4, 3*k + 3*t = 0. Round k to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*t = -106 + 266. Suppose 4*i = 2*o - i - t, -5*o + 2*i + 40 = 0. Let l(u) = o*u + 3 - 4 + 1 - 2. Calculate l(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w - 3*w - 6 = 0. What are the prime factors of (20\/(-3))\/(w\/6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h, 1 l, and 1 c when three letters picked without replacement from dhlce.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 112 divided by -13.\nAnswer: -112\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 2043800 rounded to the nearest 10000?\nAnswer: 2040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 526521 and 8?\nAnswer: 4212168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 338538*j**2. Let l(q) = 72*q. Calculate l(i(f)).\nAnswer: 24374736*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 302 minutes after 1:34 AM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 29*d - 4. Let q(f) = -28*f + 3. What is 3*h(o) + 4*q(o)?\nAnswer: -25*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 12\/7?  (a) 2  (b) -0.2  (c) -89  (d) 70.49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s\/(s*s**(-1\/3))*s*s**(-2\/3))\/(s**(-2)\/(s*s\/((s\/s**(1\/4))\/s*s)*s)) assuming s is positive.\nAnswer: s**(71\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -17496\/5*h**2 - 2\/5 - 314928\/5*h**3 - 324\/5*h.\nAnswer: -2*(54*h + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 36 + -4c3b?\nAnswer: -4c05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (k - 5*k + 3*k)*(-31541 + 13810 + 13986)*(-2*k**2 + 2*k**2 + 3*k**2) + 3*k**3 - k**3 + 0*k**3.\nAnswer: 11237*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4.4 - -4. Let i = -0.4 - r. What is the biggest value in -0.2, i, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 15 = 2*z - 7*p, -2*z - 3*p + 39 = 0. Find the third derivative of c**2 - 8 + 37*c**6 + 27 - z wrt c.\nAnswer: 4440*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) be the second derivative of -n**4\/12 - 2*n**3\/3 + 7*n**2\/2 + 13*n. What is o(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/f**(2\/9))**14*(f**(-1)\/f*f)\/f**(1\/3) assuming f is positive.\nAnswer: f**(86\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -18 - -18.1. What is the fourth biggest value in n, 2, 2\/5, 2\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -346687 divided by -209\nAnswer: 31517\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 65.44513 litres in millilitres?\nAnswer: 65445.13","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 10835753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 13133032 (base 4) to base 13\nAnswer: 10c63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -108 divided by 27?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 168, 4, 0.3, 51.6, -2\/11, 0.4 in descending order.\nAnswer: 168, 51.6, 4, 0.4, 0.3, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*r = -s + 26, -7*r + 4*r = -5*s + 15 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 26016197?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -2 divided by 39\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = c**3 - c**2 - 1. Let a(m) = 106*m**3 + 5*m**2 + 5. Determine -a(s) - 5*n(s).\nAnswer: -111*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2442\/95 - -128\/5. Which is smaller: j or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.07753 - -0.24753. Which is the smallest value?  (a) o  (b) -0.23  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -u**2 + u + 1. Suppose 72*k - 68*k + 4 = 0, -4*g + k - 3 = 0. Let j(s) = -14*s**2 + 8*s + 6. Calculate g*j(b) + 6*t(b).\nAnswer: 8*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*r = 17*r - 156 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1586178637 to the nearest integer?\nAnswer: 39827","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 105495340 a multiple of 215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (223 + -220)\/((-7)\/2 - -2). Let o(c) = -24*c - 48. Calculate o(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) be the second derivative of m**3\/6 + m**2\/2 + m. Let l = 485 - 477. Let v(f) = 12*f**2 + 4*f + 7 - 34*f**2 + l*f**2 + 17*f**2. Give 4*d(s) - v(s).\nAnswer: -3*s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 21 and 1470.\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -7\/956 or 205?\nAnswer: -7\/956","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11100000000001 - -101?\nAnswer: -11011111111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 20.2195t in micrograms?\nAnswer: 20219500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:09 PM and 10:43 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 5 - k)*(0*k**2 + 0*k**2 + 6*k**2)*(7*k - 9*k + 12*k)*((0 - 2 + 1)*(-3*k + k + 4*k) + 0*k + 4*k - 6*k).\nAnswer: 240*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 10*n - 6. Let c(u) = 24*u - 13. Let r(t) = -3*c(t) + 7*f(t). Determine r(8).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 211*v**2 - 31*v**3 + 75*v**3 - v - 211*v**2 + 68*v**3.\nAnswer: 112*v**3 - v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 32980 and 1422020.\nAnswer: 1940","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2960617362 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 3*d - 9. Let l be p(4). Let a = 8 - l. Suppose a*o = 2*o + 282. List the prime factors of o.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 30352 to the power of 1\/2, to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -b**2 - 3*b + 2. Suppose -2*s + 25 = 3*d, 3*d + 2*s - 5*s - 15 = 0. Let n(z) = 4*z**2 + 9*z - 7. Let f(m) = d*o(m) + 2*n(m). Let f(a) = 0. What is a?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 3 = 3*h - 0, 4*h + 25 = -3*b. Let d = 7 + -4. Let n(o) = 4*o**2 + o**d + 0*o**3 + 3 - 4. Calculate n(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -27 - 109 - 2*c - 18*c.\nAnswer: -20*c - 136","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(77) - sqrt(77)*-1 - sqrt(77)) + sqrt(77))\/sqrt(11).\nAnswer: -5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -7 + -52978?\nAnswer: -52983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 1385949 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 u(o) = -o. Let t(m) = 427*m**2. Determine t(u(g)).\nAnswer: 427*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 1 n when two letters picked without replacement from nllhhnnlnb.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -270666, -541309, -811926, -1082517?\n\"Answer: 13*l**2 - 270682*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -1 - -6 - 8\/8. Let j = -10 - -14. Suppose m = 4*y - j. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19195 >= 19185?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 30814751, 61629490, 92444225, 123258956, 154073683, 184888406?\nAnswer: 215703125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2  (b) -36\/13  (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 136 to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 3041.959 litres in millilitres?\nAnswer: 3041959","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -12 + 12. Let b(w) be the first derivative of 0*w**3 + v*w**2 - 7\/5*w**5 - 1 + 1\/2*w**4 + 5\/6*w**6 + 0*w. What is f in b(f) = 0?\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = y**2 - 5*y - 6151. Give o(81).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -2991, -5975, -8957, -11937, -14915, -17891, -20865?\n\"Answer: s**2 - 2987*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 0.089, 7, -2, -4?\nAnswer: 0.089","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 106242629 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1068 - 331. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 16187 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 67535\/(-257070) - (-1)\/(-3). Let v = -4\/779 - n. Find the common denominator of v and -95\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -2 - (-1 + -5) - (1 + -2). Let l be (6\/(-18) + c\/6)*-4. Is l <= -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -l*t**3*u + 4*l*t**3 - l*t**2 + 27*l*t - 7455*t**3*u + 238*t**3 - 30*t*u + 49*u wrt t?\nAnswer: -6*l*u + 24*l - 44730*u + 1428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*b = 23*b - 3*l + 402, -5*b = -3*l - 984. Let r = b + -2575\/13. Let q be ((-1)\/(-6)*-2)\/(-1). What is the nearest to q in 1\/7, r, 1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 7*h**2 + 52*h - 257. What is the tens digit of n(41)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -6189 (base 10) to base 9.\nAnswer: -8436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1616707659 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5 - (1 - 5)) + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -l - 19. What is t(-19)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 1  (b) 849874  (c) 2\/5  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 15226007 to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 127 - 163. Let n = -37 - a. Is n bigger than 80?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*v + 2*v = -3*x - 30, 17*x - 7*x = -40*v - 5*x - 240 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 48603.16 hours to milliseconds.\nAnswer: 174971376000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-306)\/(159*(-52)\/(-4134))\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 8\/(-10)*-5 + 1 + -1. Let h(t) = t**3 + 6*t**2 - 7*t - 4. Let i be h(-7). Calculate the smallest common multiple of (k - (i - -4)) + -3 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z*z**1)\/z**(-1))\/(z*z**(-1\/11)\/z*z*z**0\/z*z*z*z))\/((z**(2\/5)\/z)**10)**24 assuming z is positive.\nAnswer: z**(1585\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1540 by 5.\nAnswer: -308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*o = -24 + 144. Suppose -19*t - 87 = -o*t. What are the prime factors of t?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) be the second derivative of -z**3\/6 + 7*z**2\/2 - 16*z. Let w(s) = 1. Give -u(y) + 5*w(y).\nAnswer: y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 1, s: 1, x: 1, o: 2, v: 1, y: 1}. Give prob of sequence oox.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/(w*(w*w*w**1\/w*w)\/w))**(-40)\/((w\/((w*w*w*w\/(w\/(w**(-18)*w)))\/w))\/w**1) assuming w is positive.\nAnswer: w**65","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 186 - 58. Suppose 9*t - h = 7*t. Calculate the remainder when t is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2012210 (base 3) to base 2.\nAnswer: -11001001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 107*i = 223*i - 1624. Sort i, 0.1, -2.4, 2 in descending order.\nAnswer: i, 2, 0.1, -2.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 637032539 to the nearest integer?\nAnswer: 25240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*h**2 - 3*h**2 + h**3)*(101*h + 111*h - 55*h + (-1 - 3 + 6)*(0 + 0 - h)) in the form m*h**4 + y*h**2 + v*h**3 + d + s*h and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/h**(-42))\/h**9*h**11\/(h\/h**(-3\/22)*h) assuming h is positive.\nAnswer: h**(943\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2236 or 2233?\nAnswer: 2236","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 3*m - 6 + 0*m + 467*m**2 + 3*m. Let o(f) = -208*f + 417. Let y be o(2). Is l(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15996*7.\nAnswer: 111972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-1851)\/4380 + (-2)\/(-10). Let w = t - 2\/73. Let m be -2 + 2*(-3)\/3. Which is the closest to w?  (a) 5  (b) -0.1  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -o**3 - 16*o**2 - 17*o - 20. Let p(k) = -3*k + 15. Let b be p(10). Let j be f(b). Let a = -5 + j. Solve 0 = -0*v + a*v + 10 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.4, 179, -556, 1?\nAnswer: 179","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve f + 6839*y = 6840*y - 3, -9 = 3*f + y for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 0.3*10633786\nAnswer: 3190135.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (7\/21)\/(3\/(135\/(-3))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.025973 to four decimal places.\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 578 minutes before 2:10 AM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 31 + -14?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -903\/104 - -108\/13. Which is the second biggest value?  (a) j  (b) 3  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1140396 and 19291699.\nAnswer: 231500388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 2, t: 1, g: 3, r: 3, j: 10}. Give prob of picking 2 j and 2 g.\nAnswer: 45\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = -4*f + 14, -3*f = -5*p + 98. Let l(w) = 15*w - 7. Is l(p) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -388*o**2*s**2 - 9*o**2*s + o*s wrt s.\nAnswer: -776*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -c**2 - c. Let d(q) be the second derivative of -q**4\/4 - q**3\/3 - q. Let t = -1426 - -1433. Give t*h(w) - 3*d(w).\nAnswer: 2*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.312 + -2.702. Round j to 0 dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -19500*t - 3603*t - 1982*t as l + b*t and give b.\nAnswer: -25085","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -38 + 46. Let g be (1 - k\/(-3)) + 4\/3. Solve -5*f - g = -0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -o**2 - 1574*o - 619369.\nAnswer: -(o + 787)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = 282*q - 2733. Let k be b(10). Solve 19*h + k = -8 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.48 + 0.525. Let s = o - 0.0458. Round s to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -x**2 - 5*x - 6. Let w(n) = -n**2 - 5*n - 7. Let a(v) = 3*h(v) - 2*w(v). Let k be a(-4). Solve -j + 3 - 6 = k for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 3\/((-45)\/10 + 4). Let a(b) = 3*b**2 + 8*b + 5. Let c(j) = j + 1. Determine k*c(t) + a(t).\nAnswer: 3*t**2 + 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -29  (b) 0  (c) -3  (d) -1.6  (e) 0.2  (f) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 61, -3, 2\/37?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -10*h**2 - 7*h + 13. Let i(y) = 22*y - 34*y + 17*y - 6 + 7*y**2 - 3. Let x = 5 + -12. Give x*i(u) - 5*m(u).\nAnswer: u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 17 + 15. Suppose 0 = 35*v - x*v - 99. Calculate the remainder when v is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = b**2 - 90*b + 849. Give j(71).\nAnswer: -500","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*q + 8, 4*l + l + 7 = q. Let k = l - -3. What is the third derivative of 2*v**k + v**2 - v**3 - 2*v**2 wrt v?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = z - 9. Let b be i(13). Let n(j) be the first derivative of 0*j + 0*j**b - j**2 - 1 + 0*j**3 - 4\/5*j**5. What is the second derivative of n(a) wrt a?\nAnswer: -48*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 218*d + 3837 + 646 + 313 for d.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 6129756 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -31*h**3 + 208*h**2 + 134*h**2 + 191*h**2 + 117*h**2 + 29*h**3.\nAnswer: -2*h**3 + 650*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (10\/(-4))\/((-2)\/((-12)\/3))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*y + 9*y = 769. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*g - 2*g - 4*g)*(3*g - 2*g + g + (-18*g - 15*g + 38*g)*(0 + 4 - 5))*(5 - 3 - 3).\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 2993.2 rounded to the nearest 10?\nAnswer: 2990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 113 + 97 = 0. Solve 2*i = a*p - 4, -p - 2*i = -6 + 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lel when three letters picked without replacement from ahahlallhalle?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 16 and 43723136?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = i**2 - i - 3. Let s = -27 + 30. Let r be p(s). Let t(m) = -m**3 + 3*m**2 + 2*m - 4. Give t(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -v + 3. Let z(p) = -6*p + 21. Let g(w) = -27*r(w) + 4*z(w). Let j be g(0). Let b be (-1)\/(-1)*23\/(-7) + j. Which is smaller: b or -6\/23?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l**4 - 2280*l**3 - 107740*l**2 - 1084320*l + 2617920 = 0. What is l?\nAnswer: -404, -36, -18, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) be the second derivative of -547*h**6\/15 - h**5\/4 + 2467*h**4\/4 + 10636*h. Find the third derivative of a(o) wrt o.\nAnswer: -26256*o - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6)\/16 - -30*30\/96?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 234 + -234.1. Let n = -2\/23 + 39\/184. Which is the nearest to 0.2?  (a) -2  (b) r  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = u**2 + 17*u - 12. Let a be w(-18). Let s be (-26)\/(-3) - (-4)\/(-6). Let d = s - a. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:04 AM and 10:24 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (2 - ((-8070)\/(-8))\/15)*-4. Calculate the highest common divisor of s and 2001.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1099 times 3?\nAnswer: 3297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, 2, 1, 5 in increasing order.\nAnswer: -6, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 + (4 + -8 - 0) + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 0 + -4132100?\nAnswer: -4132100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = w**2 - 7*w - 9. Let r be o(8). Let h be r*84\/(-2)*-4. Let s = -351 - h. What is s rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**(-2\/5)\/l*l\/l**1*(l**(-3\/5))**(-16) assuming l is positive.\nAnswer: l**(41\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 278*l**2. Let f(v) = 34*v - 90*v + 55*v. Determine f(i(u)).\nAnswer: -278*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find n, given that 6*n**2 + 7*n**2 + 2 - n**2 - 9*n**2 - 4*n**2 + n = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2560)*-2*-6)\/(2*(sqrt(8) + sqrt(8) + (sqrt(336)\/sqrt(7))\/sqrt(6))).\nAnswer: 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 6363167 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -10.74, -1\/515, -1 in increasing order.\nAnswer: -10.74, -5, -1, -1\/515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 504406357 to the nearest integer?\nAnswer: 22459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1 + -2750?\nAnswer: -2751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 225 - 349. Let n = -112 - t. Calculate the smallest common multiple of n and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 14*y**2 + 7 + 14*y**2 + 10*y**2 + 5*y. Is d(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -22.036 - -22. Let j = 10.5 - 10.266. Let m = p - j. What is m rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*x + 29 = 3*c + 100, -3*c = 2*x + 43 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 67*g - 38854 = 897538. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4 + sqrt(11) + sqrt(11) + -1)*-4 + 0)**2.\nAnswer: -320*sqrt(11) + 1104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*x + 367 - 155 = j + 190, 0 = -5*j + 3*x + 82 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 1 y when two letters picked without replacement from {a: 2, u: 3, y: 1, t: 6}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let -25*g**5 + 615*g**4 - 4860*g**3 + 12700*g**2 - 6000*g = 0. Calculate g.\nAnswer: 0, 3\/5, 4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = p**3 + 20*p**2 - 17*p + 141. Let g be y(-21). What is the greatest common divisor of g and 3021?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0.1  (b) -0.041  (c) 5  (d) 0  (e) 2\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2574 is divided by 2499.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*s**2 - 16.\nAnswer: 4*(s - 2)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 573 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 59108.2 milligrams to micrograms.\nAnswer: 59108200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 15, k: 3}. What is prob of sequence kiki?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 = 3*h - 2*w, -3*w + 2*w + 5 = 2*h. What is the highest common divisor of 20 and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from utdve. Give prob of sequence ted.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put together 79656 and 8.\nAnswer: 79664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -44.065 and -0.431?\nAnswer: 18.992015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in one fifth of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*c - 2*o + 14, 13*c - 4*o + 3 = 6*c - 2*c - 5 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2032400, -4064795, -6097190, -8129585, -10161980?\nAnswer: -12194375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1234007978 + -1234007960.99999981. Let s = 19.6 - 2.6. Let t = s - h. Round t to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qwlflgqfwlkqf. What is prob of picking 2 w?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 140450 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -49*n. Suppose -598*z - 28 = -605*z. Let o(y) = 0*y**2 + z*y**2 + y**2 + 9*y**2 - 9*y**2. Calculate r(o(t)).\nAnswer: -245*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -8508*l**2 - 6937*l**2 - 3 + 7 - 4 in the form b*l**2 + m + y*l and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 12936631, 25873266, 38809901?\n\"Answer: 12936635*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 + (-9 - -1) + -5 + -6 + 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1082693902 to the nearest integer?\nAnswer: 1027","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 636.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 772 a factor of 12645165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (3\/(-9))\/((-10)\/(-75))*-10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 5\/259 + -6\/37. Let f = 1 - 0.7. What is the biggest value in i, -1\/3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 7\/2 of a day?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + 6 + -13 + 4 - 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2.834 - -0.066. Let s = z + -2.99. What is the nearest to 0 in 0.5, 3\/8, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:27 PM and 4:03 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -81*f = -82*f + 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t = -8 - 8. Solve 3*q = -q + t for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 11*i**3*j**2*u*w**2 + 2*i**3*u*w**2 + i**2*j*u + 83*i*j**2*u - 3*i*j*u*w**2 - 15*i*w**2 - 2*j*u*w wrt j?\nAnswer: 22*i**3*u*w**2 + 166*i*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(3\/7)*u**9)**(-45) assuming u is positive.\nAnswer: u**(-2970\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4534901 and 931?\nAnswer: 931","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 372?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 561066, 561067, 561070, 561075, 561082, 561091?\n\"Answer: j**2 - 2*j + 561067","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -x - 13257 + 6600 + 6591 for x.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -30 - -31. Let t be (1 + 55\/(-50))*2\/(-1). Suppose 4*d = -4*w + 32, -2*w + 3*d - 2*d = -28. Which is the smallest value?  (a) t  (b) w  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 38355792?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(-90)*(22\/(-363)*11)\/((-32)\/(-40)).\nAnswer: -1\/54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12 divided by -10326.\nAnswer: -2\/1721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 768825 is divided by 384410?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3901 is divided by 664?\nAnswer: 581","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -64\/15 and 97\/70.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 42 divide 22644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 474a - -4?\nAnswer: 4753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -35*w**2 - 42*w - 13. Let j(y) = 420*y**2 + 505*y + 155. Let m(v) = 35*i(v) + 3*j(v). Suppose m(b) = 0. Calculate b.\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13*v**2 - v + 12*v**2 - 3*v)*(v - 3*v - v)*(5*v**2 + 2*v**2 + 0*v**2).\nAnswer: 21*v**5 + 84*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 968 and 528.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(-1\/6)*a**(4\/5) assuming a is positive.\nAnswer: a**(19\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -246, -245, -244, -243, -242?\n\"Answer: d - 247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1100011100000 (base 2) to base 3.\nAnswer: 22201212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:08 PM and 1:59 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.8 and -1569907.\nAnswer: 1255925.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xmgggpgggqpxgxx. What is prob of sequence qx?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 34\/((-9044)\/19)*-12\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 486237222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-135)\/35 + 203\/(-49) + 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -p**3 - 9*p**2 - 13*p + 2. Determine x(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/8*12*1160\/(-260)*-13.\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = c**3 - 16*c**2 + 7*c - 1. Is j(16) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 142977 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -943 divided by 23.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4950*w - 4953*w + j - 180 = 0, 192 = -3*w - 0*j + 5*j for w.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000634 to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 81535855?\nAnswer: 5, 16307171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find j such that -2*j**5\/13 - 14*j**4\/13 + 4*j**3\/13 + 28*j**2\/13 - 2*j\/13 - 14\/13 = 0.\nAnswer: -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 45647, 45661, 45685, 45725, 45787, 45877, 46001, 46165?\nAnswer: 46375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 times 9541926?\nAnswer: -38167704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -20*c**5 - 22813*c**4 + 6349035*c**2?\nAnswer: -1200*c**2 - 547512*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*b + 131*b**3 + 131*b**3 + 0*b - 387*b**3 + 124*b**3.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -4\/5, -2, 33, -1, -105 in ascending order.\nAnswer: -105, -3, -2, -1, -4\/5, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) be the third derivative of -k**5\/15 + 2*k**4\/3 - 8*k**3\/3 + k**2. Factor b(g).\nAnswer: -4*(g - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(98) + sqrt(98)*-2)\/sqrt(2))\/(sqrt(7) + sqrt(252)*-1) + (0 + sqrt(112)*2)*3)**2.\nAnswer: 102487\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2639753 to the power of 1\/2, to the nearest integer?\nAnswer: 1625","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 4, -8476485 in ascending order.\nAnswer: -8476485, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 26\/5 of a centimeter?\nAnswer: 52000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*l - 20 = 2*l. Suppose 3*n + 25 = l*v, 6*v + 4*n = v - 10. Let m(s) = 3*s**2 - s + 1. List the prime factors of m(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 80906.3cm to nanometers.\nAnswer: 809063000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -12 in 1, 13, -5.6, 2, 3\/5?\nAnswer: -5.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-21)\/14)\/((-1)\/2). Let f be ((-2)\/(-2))\/1 - -5. Solve z - k*z = -f for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -212 (base 11) to base 13\nAnswer: -168","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 10\/(-3)*(-18)\/15. Suppose -y*r + 3*s + 29 = 0, -8 = 3*s + 1. Solve 0 = -3*d - r*i + 8, -2*d + 2 = -5*d + 5*i for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*s**2 - 2*s**2 + s**2 + 2*s**2.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -674 - -674. Let i = 2 - 4. Let f = -2 - i. Solve k*o - 1 = -c + o, c + 3*o + 7 = f for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.645 less than 0.04632710589?\nAnswer: -0.59867289411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/(-12)*(20\/40)\/((-18)\/(-48))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((a\/(a*a**3*a))\/a)\/a**9)\/(a**5\/((a**(-7)*a*a)\/a)))**(-2\/61) assuming a is positive.\nAnswer: a**(50\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is h in -3*h**4 + 12292*h**3 + 32813*h**2 - 53270*h - 123000 = 0?\nAnswer: -3, -5\/3, 2, 4100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f = -2*s + 8898 - 2340, -2186 = -f - 2*s. What are the prime factors of f?\nAnswer: 2, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:56 AM and 3:33 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10210 + -20020002121?\nAnswer: -20012221211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22*p + 33*p - 31*p.\nAnswer: 24*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -555 - -3?\nAnswer: -552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 80 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 6.2 - 6. Let i = 319.6 - 320. Which is the nearest to 0?  (a) i  (b) -0.7  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.5 + -8.5. Let j = v + 14. Let r = -5.894 + j. What is r rounded to 2 dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-7)\/(14\/(-8)) + 4\/(-2). Suppose 3*u - 54 = x*p - u, p + u + 21 = 0. Let r = -22 - p. Sort 4, r, 0.11 in decreasing order.\nAnswer: 4, r, 0.11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r**3\/7 + 638548*r**2\/7 + 2*r\/7 - 638548\/7 = 0. What is r?\nAnswer: -1, 1, 319274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(360)*-2*6)\/(sqrt(24)\/(sqrt(3)*2) - sqrt(8)))\/((sqrt(576) - -3*2*sqrt(576)) + sqrt(576) - (sqrt(576)*2*-2 - sqrt(576))).\nAnswer: 3*sqrt(5)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4923\/25 + 199. Is v equal to -3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l = -4, -2*a + 3*l - 114 = -5*a. Suppose 0 = -4*r - 0*r - a. Calculate the smallest common multiple of 2 - r - 0\/(-4) and 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 11.444 to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -507 + 1060. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((4 - 2 - 4)*(1 - 2 + 0) - 6 + 0 + 1)*(4 - 4 + 2*x) - 3*x + 2*x + 3*x.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 5 + (3\/3*-2 - -1133). Let s = q + -528. Is 38 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 153 = -83*z + 88*z, 5*o - 2*z - 738 = 0. Suppose -3*p + 2*l - 245 = 0, -156 = p + p - 5*l. Let v = o + p. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -548 + 543.85. What is m rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5\/(-4) + 1 - (-14)\/8)\/((-12252)\/122520).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 884?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1714*u - 3932 with respect to u.\nAnswer: -1714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8493 is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (16 + 16*h - 31 + 14)*((1 - 1 + 2*h)*(h - 5*h + 2*h) - 4*h**2 + 3*h - 3*h).\nAnswer: -128*h**3 + 8*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k, 1 h, and 2 z when four letters picked without replacement from {h: 2, z: 7, k: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11 + -5 + -1 - 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in three eighths of a millimeter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -512 = -4*u + l + 9, 5*l + 670 = 5*u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -142*v. Let y(x) = -13*x. What is w(y(u))?\nAnswer: 1846*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2724052.\nAnswer: 2, 773, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000093228567 rounded to seven decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand -194*q**5 - 220*q**5 + 322*q**5 - q**5 + q**3 - q**3 + (-q + 3*q - q)*(-q**4 + 3*q**4 - 3*q**4) + 3*q**5 + q**5 - 5*q**5.\nAnswer: -95*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d + i = 56, 51 = 3*d - 5*i - 5. Solve 3*k = -2*r - 2*r - 3, 3*k + d = -r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 2*d**2 - 53*d - 23. Let i(g) = -313*g - 1851. Let c be i(-6). Determine k(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 88668250 and 2850?\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 9, x: 10}. Give prob of picking 2 x.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.178039316 rounded to 3 dps?\nAnswer: -0.178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = 4*n + 46. Let k be 4\/(-14) - 74\/n. Let o be 3*(-1 + (-1)\/(-3)). Sort o, k, 3 in descending order.\nAnswer: k, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101011011 - 11011110?\nAnswer: -1000111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-24)\/4)\/(12 + -7))\/((-14)\/(-62 + -8)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 4, h: 2, s: 1, w: 2, g: 1}. Give prob of sequence sh.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(190)\/(sqrt(90)\/sqrt(9)) - sqrt(19)) + -3 + (sqrt(19)*-4)**2.\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2401 + 222433300?\nAnswer: 222430344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine l so that -2*l**3\/7 - 22*l**2\/7 - 68*l\/7 - 48\/7 = 0.\nAnswer: -6, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*j**2 + 2*j**2 - j**2 + (2*j + j - j)*(-2 + 2 - j) + 3 - 2*j**2 - 3 - 2*j**2 - 2*j**2 + 0*j**2 - 3*j**2 - j + j)*(j + 1 - 1)*(0 + 4 - 1).\nAnswer: -36*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -48*h**3 + 27*h**2 - 27*h + 27. Suppose 0*k = 4*k - 16. Let d(q) = -7*q**3 + 4*q**2 - 4*q + 4. Give k*f(b) - 27*d(b).\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 6 - 4. What is the third derivative of 12*n**6 + 9*n**2 + 3*n**v + 5*n**2 + 6*n**6 wrt n?\nAnswer: 2160*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 0, -15, 3, -1, 5 in descending order.\nAnswer: 5, 3, 1, 0, -1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*r - 140 = -4*m - 11*r - 139, -3*r = 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -8 (base 12) to base 9\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17*t - 28*t**2 + 0*t - 26*t + 9*t.\nAnswer: -28*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 39, 75, 129, 207, 315, 459, 645?\n\"Answer: p**3 + 3*p**2 + 20*p + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-10)\/55)\/((-3)\/363)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -2*i + 19. Suppose -3*m - 12 = -2*m. Let b be ((-95)\/(-45))\/((-4)\/m). Is b equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 986, 984, 930, 782, 498, 36, -646?\n\"Answer: -7*x**3 + 16*x**2 - x + 978","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 523, 2155, 4881, 8707, 13639, 19683, 26845?\nAnswer: 35131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*b**4 + 12612815*b**3 - 983779290*b**2 + 25578085780*b - 221675981800.\nAnswer: -5*(b - 2522485)*(b - 26)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v - 2380 = -4*j, -10 = 163*j - 165*j. Calculate the remainder when v is divided by 52.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o - 352 + 338 = 2*v, -2*o = 4*v - 2. What is the biggest value in o, 1, -4, 0.2, 19\/5?\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 7\/9 - 4\/9. Let q(b) be the first derivative of 3 + 0*b**2 + 0*b + a*b**3. Let w(u) = 19*u**2. Determine w(q(y)).\nAnswer: 19*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find t, given that 1\/3*t**2 - 1136*t + 967872 = 0.\nAnswer: 1704","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1025342441?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (30\/(-2))\/(2075\/(-83))\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 5330239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:23 AM and 9:40 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) be the second derivative of -5*m**7\/14 + m**4\/6 + 22*m. Find the third derivative of z(g) wrt g.\nAnswer: -900*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u + 5*v = -12, -4*u - v = 2 + 10. Let p be 1 + -3 + 2\/2. Let i = 1 + p. Put -4, u, i in ascending order.\nAnswer: -4, u, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 21\/(-35) + (-21)\/(-60) + 0\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -10133123331 (base 4) to base 10\nAnswer: -1177341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yyaya. What is prob of sequence yy?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 1254 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -27 - -1694874.\nAnswer: 1694847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*z - 20, -h + 4 - 9 = -z for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15371.\nAnswer: 19, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = -2*v + 15. Let x be (v\/1)\/(0 + 2). Let p = x + -7. Solve -2*z - z = p for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 3*x**3 + 48*x**2 + 144*x + 4. Let o be q(-12). Put 3, 0, o, -28 in decreasing order.\nAnswer: o, 3, 0, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1332.006852 + 1332. Round h to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(190) + (sqrt(190)*3 - sqrt(190)))*-6)\/(sqrt(1000)*3*6).\nAnswer: -2*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 11649.86 hours in microseconds?\nAnswer: 41939496000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -10*22\/495*(-9)\/2. Suppose 4*y + 3*x = 1304, -3*x + 502 + 144 = s*y. What is the remainder when y is divided by 66?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1642264 is divided by 128?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mnhmh. What is prob of picking 1 m, 1 n, and 1 h?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 - 1)*(-2*k**4 + 6*k**4 - 2*k**4) + 2*k**4 + 2*k - 2*k + (4*k**3 + k**3 - 3*k**3)*(4 - 6*k - 4).\nAnswer: -12*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = -4*y + 19, 329*q - 16 = -5*y + 325*q. Solve -2*t = -5*w - 22, 5*t + y*w + 1 + 10 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -208931*b*o**3 - 209*b*o**2 + b*o - 166*o + 1 wrt o?\nAnswer: -1253586*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 2*m = -15 + 48, -j = -4*m - 21. Calculate the highest common factor of 72 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2257646608?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -47 - -71. Is (q\/18)\/4*1257 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 108 + 842. What are the prime factors of x?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 283774, 283332, 282884, 282430?\n\"Answer: -3*z**2 - 433*z + 284210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 156 and 97591.\nAnswer: 1171092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -14150 divided by 2830\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide -63928748 by 143338.\nAnswer: -446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 18 + -2. Let c be (-34)\/(-85) + v\/10. What is the third derivative of r**3 + 261*r - 261*r + 2*r**c wrt r?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 20528 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 3*u + 3. Calculate o(20).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*n**3 + 0*n**3 - n**3 + (2 + n - 2)*(4*n + 9 - 9)*(2*n - 6*n + n).\nAnswer: -11*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(12)\/(6*sqrt(6)) - (sqrt(72)\/sqrt(9))**2) + sqrt(200) + 0 + sqrt(200) + 4 + -4 + 4.\nAnswer: -4 + 121*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 10969821 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/(u*(u*u**(-9))\/u)*u*u)**(2\/71))**30 assuming u is positive.\nAnswer: u**(660\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.3 + 4023.6303882.\nAnswer: 4023.3303882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 163\/3 + -55. Let k = -2\/3533 + 3547\/24731. Let c = 4 - 3.7. What is the second smallest value in m, k, c?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -6*t - 6. Let y be g(4). Let j = -27 - y. List the prime factors of 98*(-1)\/(-2) + j.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (6 - 3 - 0) + 1*4. Differentiate 10*l - 34 - 6*l + 23*l + q wrt l.\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6\/4)\/(3\/12*2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 8 * 35.\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -e8 - 1?\nAnswer: -e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand -13 + 13 - r + r - r - r + (5*r + 0*r - 3*r)*(6 - 3 - 4) - 2671 - 28*r + 2671 + (r - 2*r - r)*(-1 + 0 + 0) + (3*r + 0*r - r)*(-2 - 5 + 1).\nAnswer: -42*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -y**2 + 33*y - 261. Calculate w(13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 691553 - 20?\nAnswer: 691533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 14 = -u, 0*x - 4*x = -u + 22. Let s(p) = p**3 - 2*p**2 - 8*p - 1. Is s(u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 99, 872, 2979, 7080, 13835?\n\"Answer: 110*h**3 + 7*h**2 - 18*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.05331021213 rounded to 6 decimal places?\nAnswer: -0.05331","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 5*w**2 - 290*w - 7727. Calculate o(-23).\nAnswer: 1588","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in 3, 754705, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve i = -z - 3, -2*z + 23 = -4*i + 11 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = 352*p - 59. Is q(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 65770 is divided by 60966?\nAnswer: 4804","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0\/(-3) + -3)*1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -19*b*k*s**3*x**2 + b*k*s*x - b*k*x + 486*b*s**3*x**3 - 81*b*x**3 - 33*k*s**2*x**2 wrt s.\nAnswer: -114*b*k*x**2 + 2916*b*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1186, -1272, -1358, -1444, -1530?\nAnswer: -1616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 590 + -594 + (-21 - 1)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.844 - -0.844077948. What is h rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.3372662 - 1580.0502662. Let a = y - -1579. Round a to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 214*z**5 - 6 + 1 + 165*z**5 + 0 + 9*z wrt z?\nAnswer: 7580*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7*v**3 + 23*v**3 + 0*v + 9*v + 6*v**2 - 11*v to l*v**2 + q*v + m*v**3 + z and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 24 = 0, -14*z + 11*z = 5*m - 66328. What is the ten thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 7034795 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 1\/3, 142, 14\/31, 9, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*s - 4*s - 1056. Suppose -4*b + 2*b - s = 0. Let g be 2\/(-8) - 11\/(b\/54). Is g not equal to 9\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -888*u + 904*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*w + 429 - 393. Let b be w\/42*(0 + (-6 - -3)). Let k(g) = 2*g + 2. Let h be k(-3). What is the nearest to b in -2\/9, h, 3\/4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = 4*y**2 + 4. Let p(n) = -2 + n**2 - 5956*n + 3 + 5956*n. Give c(o) - 3*p(o).\nAnswer: o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1164 and 5566266.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (2 + sqrt(637) + 1)**2.\nAnswer: 42*sqrt(13) + 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 65*q**3 + 141*q**3 + 8777*q**2 - 4391*q**2 - 4386*q**2.\nAnswer: 206*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 43.41 times 172?\nAnswer: 7466.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l = -l + 96. Suppose z = 3*a - a + l, -z + 30 = -5*a. Suppose 0 = 5*d - z + 75. Which is bigger: d or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) be the second derivative of x**4\/12 + 3*x**3\/2 + 5*x**2 + x. Let p be u(-8). Suppose -p*o = -0 - 24. Solve -o = -4*a + 4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 2*a**2 + 9*a + 7. Let p be l(-6). Let u = -17 + p. What is the smallest common multiple of 1 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 546 minutes after 6:35 PM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a = 2*a + 36. Let z be 24\/a*(-3 + 0). Let v = -6 + z. Solve -2*d - 12 = -j, -5*d - v*j - 21 = -0*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -m**2 + 12*m + 15. Let l be b(13). Suppose -l*q = -3*q - 4, -f - q + 1083 = 0. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when -1 + 5\/(-20) - 241\/(-4) is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10\/12*264\/1485*-3?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1148 - 8073\/7. What is the common denominator of s and -5\/9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 2*a = -14, 2*n + a + 6 - 3 = 0. Let y be 2\/(168\/(-30))*3\/(-35). Does n = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30793361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4100*w**3 - 2959*w**2 wrt w?\nAnswer: 24600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -3*y**3 - y**2 - 4*y - 6. Let z(j) be the third derivative of -j**6\/24 - j**5\/30 - 7*j**4\/24 - 11*j**3\/6 + 3*j**2 + 6. Calculate -11*g(l) + 6*z(l).\nAnswer: 3*l**3 - l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -47.2 + 43. Let m = 4 + p. Let n = 6201\/4 - 1549. Is n at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1\/5, -697, -7\/11, -0.3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 70400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 345949 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12 - (-15 + (5 - 1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-j**5 + 2*j**5 + 9*j**5)*(-1 + 2 - 4).\nAnswer: -30*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does -3 = -15\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -1.4, -2164, 0.01, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1074*m + 1070*m + 1068*m - 3212*m + 2*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2\/7, 3, 4\/11, -1\/2, 10\/67?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 315, 174, 33, -108, -249?\nAnswer: -390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = g**3 - 5 + 6*g - 1 + 10*g**2 - 2*g**2. Let x be (45\/(-10))\/9*0. Suppose 0 = f - 3*w + w + 13, x = 3*f + 4*w + 9. Give u(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = i**3 + 6*i**2 + 3*i + 2. Let f be o(-5). Suppose 0 = -3*h - 3*q + f, 0 = -3*h + 3*q - q + 27. Let t = -4 + h. Put -4, 1, t in descending order.\nAnswer: t, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = r - 28. Let h be l(12). Let x(o) = 2*o**2 + 15*o - 70. What is the tens digit of x(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bpb when three letters picked without replacement from ylyblllyypybyyy.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 38*f + 323 + 36 = -325 for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-6)\/4*-394 - 5. Let n = g + -240. Does 12 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 2, d: 7}. What is prob of picking 1 d and 1 i?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**5\/((f**(1\/6)*f)\/f)*(f\/f**(-2\/7))\/f**(-6))**(1\/3) assuming f is positive.\nAnswer: f**(509\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*f + 5*f - 1. Let q(w) be the third derivative of -w**4\/6 - w**3\/2 - 2*w**2 + 52. Let l be q(f). Which is greater: l or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 191 - 178 - (-1 + (-2 - 4))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -203 + 23 = -5*n + 5*o, 2*n - 3*o = 78. Calculate the highest common divisor of n and 570.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -h**2 - h. Let g(r) = 4*r**2 + 8*r. Let l(u) = -8*c(u) - g(u). Let w(y) = 86*y + 1 - 47*y - 13*y**2 - 39*y. Determine -7*l(k) - 2*w(k).\nAnswer: -2*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1558 or 12?\nAnswer: 1558","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*v - 31 - 32 + 58 in the form y + a*v and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d*d**(-10))\/d)**16 assuming d is positive.\nAnswer: d**(-160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-12)\/(-10))\/((-3)\/(-10)). Suppose -10 = 3*s - 2*p - 1, -5*s - 5*p - 40 = 0. Let u be 5*(-2 + (-22)\/(-10)). Sort g, u, s in increasing order.\nAnswer: s, u, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (6\/30)\/(1\/2). Which is greater: 0 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zzxz. What is prob of sequence xzz?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = m**2 - 37*m - 15. Let k be h(-8). Calculate the highest common divisor of k and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) -9  (b) -1\/3  (c) 0.81988\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 2311 (base 4) to base 8\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -519*v**2 + 10*v - 4254 wrt v.\nAnswer: -1038*v + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -155 + 181353?\nAnswer: 181198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 5600.048 kilograms in milligrams?\nAnswer: 5600048000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of 8 and 6.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (910\/(-21))\/(((-33)\/(7425\/30))\/(1\/5)).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 6*c. Let k(h) = -1512*h. Determine z(k(s)).\nAnswer: -9072*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -23 + 23. Let g(x) be the first derivative of 0*x**5 + n*x**3 + 1\/2*x**2 - 3 - 1\/3*x**6 + 0*x**4 + 0*x. Find the second derivative of g(u) wrt u.\nAnswer: -40*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.616055946374 and 0?\nAnswer: 0.616055946374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -432 = 4*p + 5*u, -5*p - 336 - 204 = 3*u. What is the common denominator of (4 - (-85)\/(-20)) + (-23)\/p and ((-1)\/21)\/((-3135)\/1043 + 3)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine v, given that 5*v**3 - 3155*v**2 - 31930*v - 76920 = 0.\nAnswer: -6, -4, 641","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-one halves of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*q + 5 = -2*n + 17, -4 = -2*n for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1472 and 298908.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1816 - -1811. Find the common denominator of 31\/8 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -0*p - p. Suppose y = -l + 8, -3*y + 28 = p*y + l. What is the second derivative of -14*m**5 + 17*m**5 - 9*m**y + 15*m wrt m?\nAnswer: -120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1836895 is divided by 72.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 207208?\nAnswer: 2, 59, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = p**3 + 5*p**2 - 2*p + 6. What is the lowest common multiple of b(-3) and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9654 + 13*q - 9654 + 262*q.\nAnswer: 275*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xxxqqxwxxnqxxqxnxxxn. Give prob of picking 1 n and 1 x.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 980*y - 44*y**2 - 980*y.\nAnswer: -44*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve i + 178 - 195 = 4*x, 5*i - 37 = 4*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = i + 2. Let a(w) = w + 3. Let h(q) = q**3 - 4*q**2 + q - 2. Let y be h(4). What is y*a(x) - 3*u(x)?\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 8279521*w**3 + 2423654*w + 7.\nAnswer: 49677126*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 199 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 151, 244, 391, 586, 823, 1096?\nAnswer: 1399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14102350?\nAnswer: 2, 5, 17, 47, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 344, 345, 346, 347, 348, 349?\nAnswer: 350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 123709 = -3*s + 22*s. What are the prime factors of s?\nAnswer: 17, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2022221112 (base 3) to base 5\nAnswer: -2432022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 4  (b) -4  (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 2 = -2. Let q(x) = -x**u + 1 - 6*x + 3 + 1 + 2. Give q(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 334 and 10?\nAnswer: 1670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 186 - 66. Suppose -120 = -4*z + 2*h, 0 = -4*z - 5*h - 0*h + q. Calculate the highest common divisor of z and 240.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -98 = 60*s + 142 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (3 - 4) + 7 + 9 + 19?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 86827?\nAnswer: 13, 6679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 117 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -2, 100, -5 in ascending order.\nAnswer: -5, -3, -2, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 1195367*i*y**3 + 3*i*y**2 - 27616*y**3 + 252*y**2 - 2*y - 9 wrt i.\nAnswer: 1195367*y**3 + 3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -461.4*4.\nAnswer: -1845.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a = 2*a - 784. Let u = a + -113. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f - 7*d - 66 = -5*d, -47 = 3*f + 2*d. Let l = 29 - f. What is the lowest common multiple of 3 and l?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -11024*o. Let i(z) = 50*z**2 + 10. What is i(v(s))?\nAnswer: 6076428800*s**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -d + 8. Let u be b(6). Suppose y - 70 = -5*r, -4*r + 62 = -0*r + u*y. Find the second derivative of -6*v + r*v - 4*v**3 - 13*v wrt v.\nAnswer: -24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3 - 3) + 348\/40 + 1\/(-5).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 919 is divided by 903.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -466*v + 10273. Give k(22).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -66.61 + 66. Let u = d - 2.39. Sort u, 4, -1\/6, -0.3 in descending order.\nAnswer: 4, -1\/6, -0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -719426 rounded to the nearest one thousand?\nAnswer: -719000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -d - 12. Let x be t(-5). Let n be -1*x\/(28\/8). Suppose 0*b = -n*b + 6. What is the remainder when 11 is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*-6*(-3*sqrt(475) + 0)*-6)**2.\nAnswer: 138510000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + 3 - -3 - (2 + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 189616, 189615, 189614, 189613?\nAnswer: 189612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -8 and 0.068?\nAnswer: -0.544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 889*q**2*u**2 + 7*q**2 + 18*q*u wrt u?\nAnswer: 1778*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 416 minutes after 12:15 AM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -869*r - 34 - 40 - 35 + 109.\nAnswer: -869*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -g. Let x(u) = -u - 1. Let v(b) = -2. Let f(p) = v(p) - 2*x(p). Give f(z(s)).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -7.2 + 6.81. Let w = -0.09 - r. Which is bigger: w or -1\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 16*l = 48. Let s = 18 + -14. Let p be (-9 + 8)*(-1)\/s. What is the smallest value in l, p, -0.4, 2\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -16.99, -2\/5, -100, 5, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 1441?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (23 + 20 + 20)*(6*j**3 + 0*j**3 - 2*j**3).\nAnswer: 252*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2048 - 1547.\nAnswer: -3595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 4*k = -13, 2*k - 11 - 15 = -4*g. Let b(h) = -h**3 - h**2 + h. Let p(z) = 6*z**3 + 5*z**2 - 3*z. Calculate g*b(y) + p(y).\nAnswer: y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 4*o - 12 = 0, -5*k - 2 = 2*o. Suppose -2*v + 2*b = -5*v - 13, -12 = 2*v + 3*b. What is the tens digit of k - (-29 + (-2 - v))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (3\/(-15) - 1287\/(-135))*60\/35. Let v(w) = -w**2 + 9*w - 15. Calculate v(g).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*w + w - 1330. Let b be w\/(-21) - ((-8)\/(-3) - 2). Let g be b\/42 + (-48)\/(-28). What is the fourth biggest value in 0.05, 1\/12, g, 3?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/(j*j**(-3\/4)))**(-21))**(-7\/4)\/(j**6\/(j\/j**4))**(-3\/7) assuming j is positive.\nAnswer: j**(3519\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out -30366267763.93 - 0.81.\nAnswer: -30366267764.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (-1 + sqrt(1100) + (-1*sqrt(88))\/sqrt(8))**2 - ((-3*sqrt(66))\/sqrt(2) - sqrt(33))\/(sqrt(18)\/sqrt(216)).\nAnswer: 6*sqrt(11) + 893","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(1 + sqrt(17)*-1 + sqrt(17)) + 1 + sqrt(85)\/sqrt(80) - (2*sqrt(17) + -1 - sqrt(85)\/sqrt(80) - ((sqrt(17) - sqrt(153))*-1 + -4)))**2.\nAnswer: -5*sqrt(17) + 117\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 22 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (284\/(-71))\/(8\/10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -278.0000788 - -278. What is b rounded to five decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 465690207*r**3*s**2 + 25*r**3 - 8*r**2 - 2*r + 175210 wrt s?\nAnswer: 931380414*r**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from aallaplaalpal. Give prob of sequence pa.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -200, -1307, -4334, -10241, -19988?\nAnswer: -34535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 33131426 is divided by 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 28245745 and 58933.\nAnswer: 197720215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u = -5*a - 5394, 0*u + u + 3238 = -3*a. Let i = 24696 + -180462\/7. Let v = a - i. Find the common denominator of 13 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -m**2 - 2*m - 1. Let u be w(2). Let z = -15 - u. Let f be (-10)\/z*-3*1. Let x(q) = q + 6. Give x(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tutt when four letters picked without replacement from utuuttuutu.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n = n. Let d be n\/(-1)*(-1)\/2. Let x be (36\/(-45))\/((-1)\/(-5)). Sort 3, x, d in increasing order.\nAnswer: x, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -22 (base 4) to base 2.\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) be the third derivative of v**4\/24 + 16*v**3\/3 + 827*v**2. What is u(-11)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2062*q**2 - 3496*q**2 + 7773*q**2 - 1582*q**2 - 2 + 8300*q**2 + (0*q + 0*q - 2*q**2)*(-4 + 4 - 1).\nAnswer: 13059*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2944 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 31348885.\nAnswer: 5, 23, 101, 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 4*s - 76. Let b be x(22). Let v be -7*b\/(-42)*2. Solve -v*w = -0*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 40693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -18, -88, -204, -366?\n\"Answer: -23*l**2 - l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3249 is divided by 268?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -4e - 12?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 69\/152 and 43\/304.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8 + (-6 - (-11 - -11) - (0 + -18))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 396, 799, 1202?\n\"Answer: 403*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*a + 335 = -817. Is 9 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 (base 3) in base 2?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q*q**4*q*q)\/q*q**0*((q**(-1\/3)*q)\/q)**(-1\/64))\/((q**4\/(q**(-1\/12)\/q*q))\/(q*q**1)**(10\/19)) assuming q is positive.\nAnswer: q**(4833\/1216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2.2 + 6.2. Let v = u - 3.9999925. What is v rounded to 6 dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eeeeeoeeeeejnee. Give prob of picking 1 o and 1 j.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 686 a factor of 3629626?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) be the second derivative of 4*f**2 + 3\/4*f**5 + 0*f**4 + 0*f**3 + 9*f + 0. Find the first derivative of w(r) wrt r.\nAnswer: 45*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1263?  (a) 2  (b) 1  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((1 - 2) + (-4)\/(-3))*0. Suppose -5*q + 10 = -g. What is the first derivative of 5*u + 5*u - 3*u**q - 12 - 10*u wrt u?\nAnswer: -6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 32059148 a multiple of 1738?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 58 divided by 2?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 3162353 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 176872298?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 2*o - 10. Let g be l(7). Suppose p + g*j = -p - 22, -3*p - j = 13. Sort p, -2, 33.\nAnswer: p, -2, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.05 in -17\/3, -2\/899, 5?\nAnswer: -2\/899","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve o + 674*w = 679*w - 31, -o - 38 + 27 = -w for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(1088)*-2 + (sqrt(2448) + -1)**2.\nAnswer: -40*sqrt(17) + 2449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 13096 + -8344. What is the thousands digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (m - 5*m + 2*m)*(-1 - 3*m + 1) + (-3 - 2*m**2 + 3)*(17 - 263 - 10).\nAnswer: 518*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1082 - 1044. Sort k, 1\/2, 2\/19 in decreasing order.\nAnswer: k, 1\/2, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = j - 1. Let m(s) = -16*s + 18. Let t(c) = 2*m(c) + 36*x(c). Let y(v) = -4*v. Let g(k) = 2*k. Let h(f) = 5*g(f) + 2*y(f). Determine t(h(o)).\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -2\/7, -5, 965.48, -2\/17 in increasing order.\nAnswer: -5, -3, -2\/7, -2\/17, 965.48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 2*y**3 - 20*y**2 + 68*y + 5. List the prime factors of g(15).\nAnswer: 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7014445 is divided by 99.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 6886858 + -5?\nAnswer: 6886853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide 9 by 196.\nAnswer: 9\/196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(405)*5)**2 - (sqrt(25)*3)\/sqrt(5)) + ((1 + sqrt(405))*-5 - (sqrt(405) - ((sqrt(405) + 1)*-6 - sqrt(405)) - sqrt(405))**2).\nAnswer: -9761 - 804*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Product of 3 and -986.\nAnswer: -2958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 138*z = 140*z - 4. Factor -19 + 11 - 62 - 2 - z*b**2 - 24*b.\nAnswer: -2*(b + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 15*s - 1. Let j(f) = -15*f + 2. Give 3*j(r) + 2*y(r).\nAnswer: -15*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 7129*t**2 - t - 3. Let g be k(-2). Suppose 10*x = 5*x + g. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 71 and -1.3?\nAnswer: -92.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 10 + -24012321214?\nAnswer: -24012321204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 893645768 - 297881920 - 297881919 - 13*l - 297881929.\nAnswer: -13*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -j**2 + 5*j + 6. Let p be q(5). Suppose -3*n + 45 = 3*a, -4*n = -p*a + 2*a - 20. Is 4 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12ffe (base 16) to base 3\nAnswer: 10221202022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 107 is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fevc when four letters picked without replacement from czmzmzvzccccmcfe.\nAnswer: 1\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*(sqrt(440)*3 + sqrt(440)))\/sqrt(11))\/(-1*3*sqrt(8)*2).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 91, 176, 259, 340, 419, 496?\nAnswer: 571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ccbbgkc. What is prob of sequence kcg?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (50\/50)\/(2226\/(-84)).\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 449 divide 1181768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3 - -4. Let n(y) = y - y + o + y. Let a(x) = -5 + x - 5*x + 1. Give a(g) + 3*n(g).\nAnswer: -g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 54 minutes after 3:37 PM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) be the first derivative of l**5\/120 + l**4\/24 + 5*l**3\/3 + 18. Let m(p) be the third derivative of o(p). Calculate m(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -38, -41, -44, -47?\n\"Answer: -3*y - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1010.\nAnswer: 2, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 185446 is divided by 32.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 676 minutes after 9:22 PM?\nAnswer: 8:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -2*t**3 - 2*t**2 + 4*t - 7. Let y be l(-3). Let b = 331 + -191. Suppose b = -13*g + y*g. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bgbgbgbggbbggbbgbgg. Give prob of picking 2 b.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9 + 21 + 24)*(4 - 3 + 1)*(2 - 4 + 1)*(-5*i**3 + 3*i**3 + 0*i**3).\nAnswer: 216*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) be the second derivative of 1\/3*w**3 - 15*w + 5\/2*w**2 + 0. Let t(p) = -p**2 + 5*p - 1. Let f be t(4). Let m(u) = 5*u + 14. Give f*m(h) - 8*i(h).\nAnswer: -h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nnii when four letters picked without replacement from {n: 2, i: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d = -5*r, 477*r - 473*r = -5*d + 36. Solve v = r*v + 9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1617) + 2*sqrt(1617) - sqrt(1617))\/(sqrt(176)*5)*1)**2.\nAnswer: 147\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Add together -9834025 and 60.51329.\nAnswer: -9833964.48671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 15*k**2. Let f(x) = 38*x**3 + 2*x**2 - 2. Let j be f(1). Let t(p) = -19*p**2 + j*p**2 - 17*p**2. Determine t(r(q)).\nAnswer: 450*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-405612)\/5337*3\/((-9)\/(-3)).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -s**2 - 12*s - 30. Let k be i(6). Let y be 126\/105 + k\/15. Let r(o) = o**3 + 8*o**2 - o - 9. Determine r(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 2*c**3 + 2*c**2 - 9. Let s(g) = 7*g**3 + 9*g**2 - 34. What is 2*s(v) - 9*y(v)?\nAnswer: -4*v**3 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:05 AM and 12:32 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) be the second derivative of k**6\/10 - 9*k**5\/10 + 13*k**4\/4 - 6*k**3 + 6*k**2 - k + 6. Suppose w(l) = 0. Calculate l.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 4\/9, 4\/7, 0.3, 834\/7, 1?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1\/3 + 11\/15. Which is smaller: z or -1.6?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 42 divide 966?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 4*x + x = 11, -5*h + 24 = -4*x. Suppose 3*i = 7*i - h. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -c**3 + 3*c + 3 + c + 0 + 2*c**2 - c. List the prime factors of h(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -5, 0, 4, -2\/143, -1, -0.05?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.8662616 nanometers to micrometers.\nAnswer: 0.0008662616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 289073 to the power of 1\/3, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -18*p**3 + p**2 + 2*p + 1. Let q be z(-1). Suppose -5*r + q + 37 = 0. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -m**2 + 2*m - 2. Let f be -4 - -2 - 0 - -5. Let c be u(f). Let o be 1\/((-10)\/4 - -2). Put 2, c, o in decreasing order.\nAnswer: 2, o, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 25\/65772 and 23\/18792?\nAnswer: 131544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3 + 0. Let w = 6\/101 + -517\/202. Which is the biggest value?  (a) w  (b) x  (c) -0.3  (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -26 divided by 76?\nAnswer: -13\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:16 PM and 12:05 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + -1*sqrt(5) + 3.\nAnswer: -sqrt(5) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1091 + 1064 - 2052)*(3 - 4 - b - 2*b).\nAnswer: -309*b - 103","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.6 + -0.0551.\nAnswer: -0.6551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -29484, 5, 3, -8 in increasing order.\nAnswer: -29484, -8, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*r - 3*k + 8*k + 7, -5*r - k + 17 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 2 - -5 - 7 - (-49 - (-60 - 11))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*j + 3*j + j)*(-94*j**2 - 2645*j + 2645*j - 612*j**2 - 269*j**2) as x*j + a + d*j**3 + z*j**2 and give d.\nAnswer: -3900","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 33*h - 326 - 268. Suppose 100*w = 101*w - h. Suppose -z + 2*z = -5*i + 9, 3*i = 2*z - 57. What is the least common multiple of z and w?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i = -3*f - 6, 2*i + 3 + 3 = 0. Let m = f - -3. Suppose 0 = -5*n + 3*l + 45, n + 4*l = -m + 12. Calculate the highest common divisor of 81 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.1, -0.4, 0.2, 0.99, 0.09, 4.09?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*k + 4*z + 37, -22*k - 2*z = -21*k + 1 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bgbbbbg. Give prob of picking 2 b.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-4)\/5*(-20)\/8. Let s(r) = -r. Let p(n) = -n. Suppose 0 = 4*z - o - 2 + 3, -5*o + 26 = z. Give q*p(l) + z*s(l).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2.98 - -0.02. Let o = 16 - 16. What is the second smallest value in -4, m, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 divided by -5810.\nAnswer: 1\/2905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -97344*s**4 + 84787872*s**3 + 168875612*s**2 - 2175524*s + 6984 = 0. What is s?\nAnswer: -2, 1\/156, 873","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4 - -1.2013.\nAnswer: -2.7987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 60 - 206632*p**3 - 21 + 48477*p**3 - 37.\nAnswer: -158155*p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3891252*r**6 + 19784141*r**2 wrt r?\nAnswer: 466950240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 r when two letters picked without replacement from rirr.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*i**3 - 1 + 1)*(-4 - 1 + 1)*(-i - 1 + 1).\nAnswer: -8*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 39, 79, 117, 153, 187, 219, 249?\n\"Answer: -w**2 + 43*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -178*r - 588*r - 764 - 17620 = 0 for r.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21 - 23 - 5*c + 129 - 2*c**2 + 11.\nAnswer: -2*c**2 - 5*c + 138","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 29\/2 of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*-4*(sqrt(11) + -2 + sqrt(11)) + sqrt(99)\/(-2*sqrt(900) + sqrt(900)))**2.\nAnswer: -5736*sqrt(11)\/5 + 685931\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -144*j - 102. Let n(p) = -72*p - 51. Determine 9*n(t) - 5*r(t).\nAnswer: 72*t + 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = 3*n - 4. Let v be k(5). Let b(q) = q**3 + 10*q**2 - 8*q - 3. Let j be b(-10). What is the highest common divisor of v and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.05 + -0.05. Let v = -3 + d. What is the nearest to -1 in v, -5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-56 - 67 + 275)*(1 + 1 + 0)*(-g + 0*g + 3*g) - 2 - g + 2 as f + l*g and give l.\nAnswer: 607","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 381.5 and -419?\nAnswer: -159848.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 10, p: 2}. What is prob of picking 3 o?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: ((-236)\/80*2 - 4) + (458 - 448)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3701 is divided by 95?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of (17 - -5 - 2)*15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-35 - -38) + (-3 + 3 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -21*1*12\/(-24). Let a = -47477\/14 + 3381. Let g = o + a. Is 1 greater than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*m + 8, 0 = n - 2*m - 57 - 50. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*v + 0*v = -2*w - 2, -4*w = -5*v + 6 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 2 j when three letters picked without replacement from {j: 3, d: 7, n: 2, k: 2, c: 4}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -12336000 rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 - 3) + (-10 + 17 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 15284170, 15284171, 15284172, 15284173?\nAnswer: 15284174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10849030?\nAnswer: 2, 5, 137, 7919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 18 in 2\/5, 716, 0.3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 61\/16496 and 151\/84.\nAnswer: 346416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 414.1787 minutes?\nAnswer: 24850722000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.6 times -0.05?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0 + 0 + 2)*(0 + 0 - 1) - 1 + 0 + 0)*(-1 + 3 + 0)*(2*g - 1 + 1)*(-589*g - 415*g + 1720*g)*(6 - 3 - 2).\nAnswer: -8592*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - 3*t - 16 = -2*d, t = 5*d - 10. Find z such that 0*z - 3*z**2 + 57\/2*z**d + 0 + 90*z**5 - 177\/2*z**4 = 0.\nAnswer: 0, 1\/4, 1\/3, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4816 and 112?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 1, z: 1, u: 1, k: 1, x: 2, r: 2}. What is prob of sequence zd?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 63*k - 1. Let s(b) = 5*b - 2. What is i(m) - 8*s(m)?\nAnswer: 23*m + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 399 in 0.1, -3\/8, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 1203083 (base 9) to base 5\nAnswer: 131324201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8 + 3 - -3) + 7 + 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 12*t + 1. Let y be o(1). Suppose -y = -3*a + 17. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13.97394ng in tonnes?\nAnswer: 0.00000000000001397394","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -4, 21 in ascending order.\nAnswer: -4, 3, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-4)\/(-16))\/(30\/(-36)). Which is the nearest to 2?  (a) -3  (b) 0.3  (c) -0.1  (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26*s = 788*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.3 - 0.34. Let n = g - 0.26. Let f be (-46)\/(-529) - (-64)\/322. What is the nearest to -2 in f, n, -1\/4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*q + 7*q + 70. Let y = q - -14. Factor -1\/3*t + 0*t**4 - 1\/3*t**5 + 0 + 2\/3*t**3 + y*t**2.\nAnswer: -t*(t - 1)**2*(t + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 18\/710401 and 15\/268?\nAnswer: 2841604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4350799 is divided by 273.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.24 + 4.24. Let j be 3\/(((-9)\/(-15))\/(6\/(-45))). Let u = 4 - 1. What is the biggest value in z, u, j?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 7*w**3 - 2*w**2 - 8*w - 3. Let l be n(3). Suppose 82*h - l = 80*h. Suppose 60*j = 59*j + h. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-84)\/(-18) + 6\/(-9). Let t = 0.33 - 0.03. Let b = -3 - -3.2. Sort b, h, t.\nAnswer: b, t, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 266091 is divided by 15652.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -200098174.999911 + 200098287. Let n = y + -112. What is n rounded to five dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0 + 186*l - 575*l + 1 + 1049*l as o + g*l and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 15*j**2 + 3*j - 3. Is y(2) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*k - 325 = -5*k. Let x be (-56 - -56) + 1 + -1*k. Let q = 12 + -24. Is x less than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1602.2822 rounded to the nearest 10?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 72865110?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -147*u**3 + u**4 + 71*u**3 + 2*u - u**2 + 79*u**3 to s + z*u**2 + l*u**4 + g*u**3 + a*u and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2.9 + 1.9. Which is the nearest to 1\/2?  (a) -2\/11  (b) s  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from haaapvvvvvpvp. What is prob of picking 1 a and 1 h?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27 = 3*l - 5*b, 3*l + 0*b - b - 15 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of -12 - 1*(1 - (31069 - 11))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 322 + -325. What is the fifth biggest value in m, 2\/21, 5, 0.2, 0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 2556, 2579, 2626, 2709, 2840, 3031, 3294, 3641?\n\"Answer: 2*x**3 + 9*x + 2545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 13*v**2 + v - 2. Let a be q(1). Solve t = -3*t - a for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 16985 by 5.\nAnswer: 3397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -39*1887991.\nAnswer: -73631649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*b + 2*b + b)*(-1 - 2 + 2)*(-3 - 6 + 4)*(-316*b**2 + 44*b**2 - 294*b**2).\nAnswer: 2830*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pe when two letters picked without replacement from nbbppepbeb?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 454562?\nAnswer: 2, 227281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 - 2 - 8*g - 6*g + 1 as t + u*g and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 40 - 20. Suppose 0 = -q - 5*y - 75, -3*q - y - 67 = 88. What is the smallest common multiple of b and ((-377)\/39 - -9)*(q + -1)?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 496 minutes after 9:03 PM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -a - 8. Let l = -986 + 992. Determine f(l).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) be the second derivative of 0*d**2 + 0 + 2\/3*d**3 - 9*d + 0*d**4 - 1\/20*d**5. Find y, given that r(y) = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 14) in base 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p + 10*r - 9*r - 32 + 10 = 3*r, -7*r = 14 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -k**2 - 7*k + 39. Let a be z(-8). Find the third derivative of -75*t**2 - 6*t + a*t + 78*t**2 + 89*t**3 wrt t.\nAnswer: 534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2011875?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:16 PM and 4:39 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -117, -231, -345, -459, -573?\nAnswer: -687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2*l**3*v**2*y - 8153*l**3*v**2 - 570175*l**2*v**3*y - 7*l**2*v**3 + 3*v**3 wrt y.\nAnswer: 2*l**3*v**2 - 570175*l**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3123780 by -260315.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 3*d**3 - 4*d**2 + d + 40*d**3 + 4*d**2. Let i be v(1). Suppose -i = -o + 5*s, -o + 5*o - 2*s = 86. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 94018, 94016, 94014, 94012, 94010?\nAnswer: 94008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 3096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11 = k + 2*j, -13*k - 5*j = -18*k + 5 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -24671, -49856, -75041, -100226?\nAnswer: -125411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 503 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -293 + 649 + r + 242 + 367 + 146 to a + d*r and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/(w*w\/w**8))\/w*w*w\/w**(1\/6)*(w\/(w*w**(2\/11))*w)**32 assuming w is positive.\nAnswer: w**(2245\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (11*y**3 + 81*y**3 - 9*y**3)*(-101 + 101 - 15*y).\nAnswer: -1245*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express -19613372 - 3*s + 50*s**4 + 19613372 + (2 + 0 - 3)*(0*s**4 + 4*s**4 - 5*s**4) in the form o*s + h*s**4 + n*s**3 + x + y*s**2 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 24104 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Add together -3197373307 and 0.\nAnswer: -3197373307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Let d = 105 - 65. Find the common denominator of -31\/171 and (5*(-4)\/d)\/((-4)\/63).\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0 + -1. Suppose -4*c - 15 + 31 = 0. Suppose 4*z - 3*z = -2, 2*g = -2*z - 2. What is the closest to g in c, t, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -13522 - -14200. Sort j, -0.3, 5 in decreasing order.\nAnswer: j, 5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = 6176*w + 21. Is x(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3349628.\nAnswer: 2, 23, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b + b = 0. Let f(j) = j**2 - 10*j + 4. Let m be f(10). Suppose 6 = 3*s + m*i, i + 6 = -0*s + 3*s. Solve b = w + w - s for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 732 and 7677?\nAnswer: 1873188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3793220*k*o**3 + 4256126*k*o wrt o.\nAnswer: 22759320*k*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (225\/10)\/(-9) + 2\/4. Let f be -1 - (y - -1)*(8 - 1). What is the greatest common divisor of 4 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j - 4 = -28 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -3*p + 49. Let d be s(-13). What is the units digit of ((-29)\/2)\/((-11)\/d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*g*h*w + 2*g*h + 74*g*n**2 - 2*h*n**2 - 99*h*n + 2*n**2*w wrt h.\nAnswer: -2*g*w + 2*g - 2*n**2 - 99*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or -36\/163?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 2, -35, -122, -283, -542, -923, -1450?\n\"Answer: -4*a**3 - a**2 - 6*a + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -388, -784, -1182, -1582, -1984?\n\"Answer: -a**2 - 393*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 23  (b) 2.4  (c) 4  (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0 + -0.1. Let t be ((-45)\/90)\/((-2)\/(-8) + 1). Let c be ((-27)\/(-60))\/((-6)\/5). Sort t, c, s in descending order.\nAnswer: s, c, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*w + 2*w - 13 = 35. Let n(u) be the second derivative of -3\/25*u**5 + u - 1\/15*u**4 + 0*u**3 + 0*u**2 - 2\/25*u**w + 0 - 2\/105*u**7. Factor n(x).\nAnswer: -4*x**2*(x + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 23 = -23. Solve -3*b + 10 = 5*t, s = -3*b - 6*t + 2*t + 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 times 9.7?\nAnswer: -67.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kcvv when four letters picked without replacement from vvvkcki?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 33 and 1959771?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -1.9 from -0.19.\nAnswer: 1.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*m**2 - 77536952*m - 375748682840644.\nAnswer: -4*(m + 9692119)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 781*r**2 + 63*r**4 + 1 - 733*r**2 - 2*r**3 - 2 wrt r?\nAnswer: 1512*r - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 1760, 3518, 5276, 7034, 8792?\n\"Answer: 1758*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 f and 2 p when four letters picked without replacement from {f: 5, p: 2}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 182497224 to the nearest integer?\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*o**3 + 26468*o**2 - 7928020*o + 580878700 = 0. Calculate o.\nAnswer: -6907, 145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 187547*y + 184970 wrt y?\nAnswer: 187547","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -a**3 + 17*a**2 - 25*a + 35. Is 21 a factor of g(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -242594 and 0.3.\nAnswer: -242593.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*r - 2*r**3 - 2*r)*(-13122*r - 2527302 - 2166*r + 2527302).\nAnswer: 30576*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 6 + -6. Let v be ((-1)\/(-45))\/(1\/(-1378)). Let l = v - -152\/5. Is l > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 39\/21297632 and -9\/53244080.\nAnswer: 106488160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (44\/40)\/(3\/30)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -106 - -605. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by 8898.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = x**3 + 6*x**2 - 2*x - 4. Let q be z(-6). Let k = 23 + -21. What is the common denominator of -1 + k - 348\/q and -19\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 100 = 4*q - 3*h + 127, 36932 = -4*q + 2*h + 36902 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 158394 and 636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 3 = 5*k, 2*m + k + 5 = 4*m. Let z(r) = r**3 - 4*r**2 - 12*r + 29. Let w be z(8). Let t = w + -187. Sort t, -3, m in descending order.\nAnswer: m, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) be the third derivative of o**9\/252 + 5*o**7\/21 - 1609*o**5\/30 + 2432*o**2. Find the third derivative of v(i) wrt i.\nAnswer: 240*i**3 + 1200*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 140 + -246. Let h = -110 - x. Which is the second biggest value?  (a) -14  (b) -4\/7  (c) 0.4  (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -g**2 + 10*g - 7. Let n be b(9). Suppose 2*a = 5*a - 3. Let o = n + a. Solve -o*t = 2 - 5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2705*f**2*x - 17322*f**2 + 11122*f*x**2 - 96*f wrt x?\nAnswer: -2705*f**2 + 22244*f*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*c - 5*c + 3*c + (2 - 4 + 0)*(0*c + c + 0*c) - 21*c + 447*c - 120*c)*(c + 0 + 0)*(-c + 4*c - c) as j*c + z*c**3 + u + o*c**2 and give z.\nAnswer: 598","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (11*p**2 + 192*p**2 - 109*p**2)*(285*p + 0 - 777*p + 0).\nAnswer: -46248*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 187 a factor of 15328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 214 a factor of 361310110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*a - 46*a = 840. Let m be (-5)\/(20\/a)*2. Solve 3*z + m = 9*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l = a - 93, l = 3*a + 3*l - 296. Suppose -2*y + 360 = a. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -4110.9 to the nearest one hundred.\nAnswer: -4100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.32 less than 632?\nAnswer: 626.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 6 + -3. List the prime factors of (k\/(-6))\/((-2)\/48).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = v**2 + 11*v + 16. Let b = 41 + -49. Let g be i(b). Sort g, -3, 0 in descending order.\nAnswer: 0, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/(-3)*9\/(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1 + (-2)\/3*(-75)\/10. Suppose -3*a + 3990 = -i*a. What is a rounded to the nearest 100?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 589 minutes before 5:38 PM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 4\/(-3)*135\/108\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -14032 - 111341?\nAnswer: -125413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (13\/(-5) + 2)*(-844 + 859)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from skksskksbkbksbsskk. Give prob of sequence kb.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 1 - 2)*(0*z + 6*z - 5*z + 1 + (0 - 2 + 1)*(z - 9*z - z)).\nAnswer: -30*z - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 11 + -10.7. Suppose 4*y - y - 36 = 0. Let k be (-6)\/y*(-4)\/(-10). What is the third biggest value in 2, r, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -500*k + 6181 = 181. Let u = 424 - 53. Calculate the remainder when u is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -628, 6639\/4, -0.5 in decreasing order.\nAnswer: 6639\/4, -0.5, -628","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -9*d + 6. Let n be t(-8). Solve 88 - n = -2*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 1, a: 2, g: 1, y: 1}. Give prob of picking 1 g and 1 d.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9 - -20 - (-12 + 37)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 10 and 432.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1 + -3490c8d?\nAnswer: -3490c8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-8)\/5)\/((-5)\/(-550)). Does 8 divide 16\/24 + w\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bbsbssbbssbbb. Give prob of picking 1 b and 2 s.\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 9660861 or 9660862?\nAnswer: 9660862","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 157294 to the nearest integer?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**(-6\/11)\/(t*t**(-13))*t**(2\/3)\/(t**13\/t) assuming t is positive.\nAnswer: t**(4\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 64755, 259115, 583051, 1036563, 1619651, 2332315?\nAnswer: 3174555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - t - 184 = 0. Suppose 5*r - 3*n + 4*n = 85, -4*n = -4*r + t. Is 9 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-66)\/(-9))\/((-10)\/6). Let w = -173 + 169. Which is smaller: a or w?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = 2*o + 50, 2*h - 4*o + 76 = 4*h. What is the greatest common factor of 572 and h?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 379711 divided by -431\nAnswer: -881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.6520593 rounded to 3 dps?\nAnswer: 9.652","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + 5*h + 25 - 229 = 0, -3*h = 4*t - 283. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((sqrt(133)*-1 - sqrt(133))*4 + (sqrt(133) + 2*sqrt(133)*2 - sqrt(133)) + sqrt(133))\/(sqrt(42)\/(sqrt(72)\/(-1*sqrt(12)))).\nAnswer: -15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -5*l**2 - 14*l - 1. Let v(h) = -22*h**2 - 58*h - 4. Let i(s) = 9*g(s) - 2*v(s). Let c be (-8)\/(48\/(-54))*-1*1. What is i(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1051*p*w**3 - p*w**2 + 15*p*w + 5*w wrt w?\nAnswer: 6306*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2)\/(-11) + (-27)\/(-33). Let j(p) = -p**2 + 3*p + 242 - 130 - 114. Let g(n) = n**2 + n. What is q*j(r) - 2*g(r)?\nAnswer: -3*r**2 + r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 458687 to the power of 1\/2, to the nearest integer?\nAnswer: 677","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -6 and -6.82?\nAnswer: 0.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + 1 + 2 - 0 - -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) be the third derivative of -2*a**7\/35 + 5*a**4\/3 + 1447*a**3\/6 - 75*a**2 + 2. What is the first derivative of g(y) wrt y?\nAnswer: -48*y**3 + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -258 - 758?\nAnswer: -1016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 9.5 + -0.5. Let m = 9.2 - t. Which is the second smallest value?  (a) 1\/2  (b) -0.4  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -136  (b) -13022\/5  (c) -5  (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 329*d + 245 = 839*d - 981 - 814 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3 + -10. Let c = -8 - q. Put 2, 0, c in decreasing order.\nAnswer: c, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from aaaxlacalalllj. Give prob of sequence aa.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.531568 - -93944?\nAnswer: 93944.531568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5000 divided by -2089.\nAnswer: 5000\/2089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-1)*s*s)**(-13\/4)*s**(2\/11)\/s**4 assuming s is positive.\nAnswer: s**(-311\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.7110333 rounded to 4 decimal places?\nAnswer: -0.711","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -131, -101, 39, 289, 649?\n\"Answer: 55*i**2 - 135*i - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p = -3*m + 7*p + 8, 0 = m - 2*p - 3. Calculate the greatest common factor of m and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from emxmmxmxmeex. Give prob of picking 2 m.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3825\/510*6\/495.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*m - 3*m - m + 3*m - 5*m + 0*m - 3*m + 4*m - 2*m + (2*m - m + 0*m)*(-5 + 4 - 1) - 1 + 1 + m)*(-3*m + 2*m + 0*m) as q*m**2 + x*m + w and give q.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/6 of a week in minutes?\nAnswer: 11760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 507297604 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sum 61.5007 and -19331176.\nAnswer: -19331114.4993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 28 + -22 - (12 - 0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 0 - 8 + (-2 + 1 - 1)*(-1 - 1 + 0) + 1 - 3 + 1)*(2*x + 1 - 1)*(x**2 - 3*x**2 + x**2) - 5*x**3 + 0*x**3 + 4*x**3.\nAnswer: 15*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*v - 6*v + 378. Calculate the remainder when v is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t*t*t*t**(5\/3)*t*t*t)\/(t**(-2)\/t)*(t\/t**(2\/3))**21)\/(((t\/t**(-1\/4))\/t*t*t*t)**19\/(t**(-7\/3)*((t*t**(-1\/13)\/t)\/t*t)\/t)) assuming t is positive.\nAnswer: t**(-7253\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + -12 - (-38 + (13 - -20)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 34459, 1, -3 in descending order.\nAnswer: 34459, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 108, -16, -0.032, 8, 0.3, -0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -151d3b (base 14) in base 11?\nAnswer: -462449","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -11*d**3 - 34*d**2 - 74*d**2 + 62*d**2 + 4*d**4 wrt d?\nAnswer: 96*d - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in 5, 12, -2\/9, -1\/3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = z**3 + 7*z**2 - 10*z - 12. Let m be r(-8). Suppose -2*w + 7*w = -3*y + 9, w + m*y - 12 = 0. Solve 5*l - l - 20 = -4*j, w = l - 2*j - 2 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 3*v + 5 = 3*t, 4*t + 5*v - 45 = 0. Suppose 0 = t*k + 2*m - 14, -5*m + 6 = -8*k + 6*k. Sort k, -5, -1, -3 in descending order.\nAnswer: k, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26*k - 20*a + 21*a = 39, -4*a + 1 = 2*k + 57 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 49 divide 4876602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 114060996?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 0, 1\/25, 1, 0.09?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1325.\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 5747\/((4\/(-3))\/(-4)*3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2a9b7 (base 12) in base 13?\nAnswer: -2151a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7958?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 10*u**3 - u**2 - u - 2. Let w be f(-1). Let t be (4 - (-44)\/w)*(12 + 3). Let n = 1.8 + 0.2. Sort n, -2, t.\nAnswer: -2, n, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -8, -1, 16, 43?\n\"Answer: 5*n**2 - 8*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -21306 + 21312. Let k(w) = -w**2 + 7*w - 6. Let t(i) = 8*i**2 - 19*i + 11. Let u(h) = h**2 - h. Let n(d) = t(d) - 6*u(d). Calculate q*n(y) + 11*k(y).\nAnswer: y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 2336, 2331, 2324, 2315?\n\"Answer: -z**2 - 2*z + 2339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x = 5, 2*c = c - 4*x - 1. Suppose -c - 2 = -j. Suppose -j = 5*i - 30. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 23 = -3. Solve 0 = -t*g + 2*g + 15 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (25904*o - 83*o**2 + 25919*o - 51814*o)*(0*o - 3*o + o + (2 - 1 + 1)*(-o + o + 2*o) - 3*o - 3*o + 5*o) as d*o + q*o**2 + w + b*o**3 and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -16.1 + 13.1. Which is the nearest to -1\/3?  (a) v  (b) -1\/4  (c) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 3*m = 61, -2*m + m - 137 = 4*z. Let f = z - -59. Let t = 35 + -11. What is the highest common divisor of f and t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*n + n - 4*n)*(n**2 - 2*n**3 - n**2)*(-3 + 15 + 8)*(-4 - 4 + 6).\nAnswer: -80*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) be the third derivative of n**6\/360 + n**5\/60 - n**4\/8 - n**3\/2 - 2*n**2. Let v(h) be the first derivative of z(h). Determine v(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (18\/(-12))\/(1\/(-2)*-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*f + 105 - 88 = -151 for f.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/2 in 1\/22, 1, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*t + 22 = 12 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -21320421 (base 5) to base 9\nAnswer: -307441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*f = -3*f. Suppose 3*a = 3115 + 6335. Suppose 3*x - x = -p - 6282, -x - 5*p - a = f. What is x rounded to the nearest 100?\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18931 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-2)\/(-2)*(-1)\/(-1). Suppose -h + 4 - w = 0. Let g(d) = 6 - 5*d - 4 + 2*d**2 + 1. What is g(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = i - 3*o, -5*o - 2 = 3*i - i. Suppose -47 = -i*d + 9. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 - 13 - (-8 + 6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 104*d**3 + d - d - 130*d**3.\nAnswer: -26*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*z + 11*z - 155 = -455 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 7258083 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: Suppose -1 = -3*z + 4*v, -v = z + v - 7. Suppose 5*k = z*k + 262. Let i(n) = 266*n + 7 + n**2 - k*n - 128*n. Give i(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 19233 divided by -24\nAnswer: -6411\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 4, v: 5, z: 2, k: 1, l: 3, s: 5}. Give prob of sequence szs.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2125 + 3423. Calculate the greatest common divisor of f and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -8, 4, 6, 0, -80, 1 in decreasing order.\nAnswer: 6, 4, 2, 1, 0, -8, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 168480 and 168480?\nAnswer: 168480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 24 - 24 - 54194*p + 34*p**3 + 54158*p.\nAnswer: 34*p**3 - 36*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:31 AM and 5:34 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 2147 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 9089 and 208600?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4*x - 6*x + 7*x + 3 + 5*x**2 + 2 wrt x.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 95*k**2 + 16*k - 18. Suppose 22 = 4*i + 2*b + 2, i - 5 = b. Is f(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*((sqrt(32) + sqrt(32) + 1 + sqrt(32) - sqrt(128))**2 - ((sqrt(66) + -3*sqrt(66) + sqrt(66))\/sqrt(3))\/sqrt(11))*-6*2.\nAnswer: -792 - 216*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -21785160 - -2.239\nAnswer: -21785157.761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -1679 equal to 55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + 1*sqrt(320) - sqrt(320) - (sqrt(320)*-3 + 5))**2 + -5.\nAnswer: -480*sqrt(5) + 2975","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 less than -9\/32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -10210210110012 (base 3) in base 15?\nAnswer: -29e76e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1  (b) -4  (c) 2  (d) -71609  (e) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2200856979?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 8 + -17. Let v be i\/(-12) + 2\/8. Is (37 - 1) + v + 0 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.2  (b) 0.5  (c) 0.4  (d) -1853  (e) -25  (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3\/4*g**2 + 3\/4*g**4 - 6*g - 3 - 3\/4*g**5 + 15\/4*g**3.\nAnswer: -3*(g - 2)**2*(g + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 2*p = 12. Suppose -2*d - 14 = -p*d. Let t = -3 + d. Solve h + 5 = t*v, 4*h - 4*v + 15 = h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -826*s - 1 = 3*x - 822*s, 5 = -5*x - 5*s for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*f**2 - 2*f**2 + 0*f**2)*(4 - 5 + 0) + 15*f**2 - 20*f**2 + 7*f**2 + 4*f - 7.\nAnswer: 4*f**2 + 4*f - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -4*1*((-13625)\/875)\/(-109)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 z and 1 y when three letters picked without replacement from yyyzzyyzzyzyyyyy?\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 12864712 and 1120?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 171084634?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 15528585?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 24 and 194?\nAnswer: 2328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 13\/38 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3 - -6. Let q(x) = -x**2 + 4*x + 1. Let y be q(l). Suppose y*r = 2*r. Solve r = 3*p - 0 - 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -129\/2285320 and -115\/418.\nAnswer: 25138520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -85 - -48. Is x smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -11 + 68 + -26 - 22.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 550554896 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) be the second derivative of 2*m - 1\/2*m**3 - 5\/2*m**2 + 0. Let x(h) = -h - 2. Let u(g) = 2*g**2 - g - 2. Let a be u(2). Determine a*d(s) - 9*x(s).\nAnswer: -3*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 3*o = -20767, -3*b + 2*o + 11775 + 19358 = 0. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 250, 249, 248, 247?\nAnswer: 246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (24\/(-15)*5270\/8432)\/((-10)\/(-34)).\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 158.03291 to the nearest integer.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -241.81462 to 0 decimal places.\nAnswer: -242","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) be the second derivative of 0 + 63*y + 0*y**5 + 0*y**7 + 0*y**6 + 0*y**3 + 1\/28*y**8 + 5\/3*y**4 + 0*y**2. What is the third derivative of u(d) wrt d?\nAnswer: 240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let q = -1\/25 - 37\/325. Suppose -3*j + 3*x - 21 = 0, x - 15 = j - 2*x. Which is the nearest to -1?  (a) q  (b) -1  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 21 + -16. Suppose w*u - 36 = -11. Let g(j) = j**2 + 8*j - 13. List the prime factors of g(u).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (s**3 + s**2 - s**2)*(-1379 + 11013 + 1635 + 7891 - 1132).\nAnswer: 18028*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -7 + 11. Let k be (-16)\/2*(-4851)\/396. Suppose -k = -j*a + 174. List the prime factors of a.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 14*f + 2 + f**2 - 12*f - 3 + f**4 to t*f**4 + i*f**3 + c*f + p + d*f**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (2\/4)\/((-1)\/84). What are the prime factors of (2 + m)\/((-4)\/6)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 168462\/(-16044)*(-8)\/(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*r + 2*r - 17 + 3*r.\nAnswer: -r - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -24 times 10.08\nAnswer: -241.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 285 a factor of 88362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -2*p - 4*p**3 + 5*p**2 + 5*p**3 + 3*p**3 - 11 - 6*p. Is o(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4*r**4 - 125*r**5 + 6*r - 7*r - 47 + 4*r**4 + 3*r wrt r?\nAnswer: -2500*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 12 - 223?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3707874?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 26512393 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.6 + 5.22. Let m = 57 - 56.08. Let p = k - m. What is p rounded to zero dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 20 = 0, -27*h + 23*h - g = -4. Factor h*m - 2\/3*m**2 + 0 - 10\/3*m**3 - 14\/3*m**4 - 2*m**5.\nAnswer: -2*m**2*(m + 1)**2*(3*m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11316 (base 9) to base 12\nAnswer: 4450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 13.1248788+-14924\nAnswer: -14910.8751212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = n**3 + n**2 + n + 1. Let w(t) = -6*t**3 - 5*t**2 - 4*t - 6. Let u(c) = 5*m(c) + w(c). Determine u(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -80 - -2283631?\nAnswer: 2283561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out 11.013 * -0.3695.\nAnswer: -4.0693035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 12417570 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*x**2 + 2490*x - 552 = 0. What is x?\nAnswer: 2\/9, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 112339 is divided by 604?\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 225419 or 225417?\nAnswer: 225419","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 2 n when three letters picked without replacement from {c: 8, n: 5, u: 1, s: 4}?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 22, 235, 576, 1033, 1594, 2247, 2980?\n\"Answer: -2*o**3 + 76*o**2 - o - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4\/7 in -1.09, -2\/5, 2, 4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: ((-1)\/2)\/(-15 + 14)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 - 1533\/(-187) - 128\/176?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 8 and 1816.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7454?\nAnswer: 2, 3727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express 112 + 4*r**3 + 2*r - 112 in the form w + m*r**2 + i*r + x*r**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) be the first derivative of 0*y**2 - 16*y + 1 + 10\/3*y**3. What is the derivative of i(p) wrt p?\nAnswer: 20*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = 6*c + 5. Let l be k(-1). Let u(h) = h**2 + h. Let d be u(1). Sort d, 3, l.\nAnswer: l, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 499 is divided by 32.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*w**2 - 2*w**2 + 0*w**2 + 2*w**2 - 12*w**3.\nAnswer: -12*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -110 - -111. What is the lowest common multiple of 11 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 5840 and 32?\nAnswer: 11680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 5*h = -515, 4*x - 5*h + 3*h = 414. Calculate the greatest common divisor of 16 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 31018 and 31016 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = 10*h**2. Let p(f) = f**2 - 8*f - 5. Let w be p(9). Let q(k) = -k + 6*k - 3*k - w*k. Give z(q(a)).\nAnswer: 40*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1180 is divided by 70\/210 - (-3539)\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 1\/10  (b) 101  (c) 13  (d) -65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange j**2 - 3*j**2 + 2*j - j to t*j + o*j**2 + u and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 18 + -8. Suppose -7*b - 27 = -d*b. Calculate the remainder when 26 is divided by b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find i, given that -2*i**3\/15 + 1128*i**2\/5 + 825858*i\/5 - 1538360604\/5 = 0.\nAnswer: -1146, 1419","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 65125 is divided by 64975?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -566*o - 1671. Give c(-3).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-159*q**4 + 274*q**3 - 274*q**3)*(q + 2*q - q) - 1 - 2*q**5 + 1.\nAnswer: -320*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 13, -2, -25.\nAnswer: -25, -2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/(t**(-1)*t)*t*t\/(t*t**(1\/3)\/t))\/(t**0)**(-16))\/((t*t*t\/(t\/(t\/(t*(t**5\/t)\/t)))*t)\/t**2)**(-17) assuming t is positive.\nAnswer: t**(-94\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 6995 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 223240320*p**2 - 20*p - 21*p + 41*p - 223240314*p**2.\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/5 in -0.3, 179.8, 16?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = 18*u - 191. Let n be p(11). Solve -13*z + 100 = n*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-49)\/(-4))\/(50827\/(-232352))?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/7, -15, 1\/1200, 3\/8, 8\/5 in ascending order.\nAnswer: -15, 1\/1200, 2\/7, 3\/8, 8\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express (4 - 4 + a)*(463 - 231 + 143*a - 232) in the form o*a + b + h*a**2 and give h.\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = -5*r - 7. Let i = -117 + 121. Let b be (-1)\/4 + 95\/(-20). Sort r, b, i.\nAnswer: b, r, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 4, g: 5, c: 1}. What is prob of picking 1 g and 1 c?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -27*d**2 - 15*d + 8. Let c(r) = -28*r**2 - 12*r + 6. Let n(l) = 5*c(l) - 4*t(l). Let o(u) = 23*u**2. Calculate n(o(q)).\nAnswer: -16928*q**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -3*m**2. Let h(p) = -426*p. Calculate q(h(g)).\nAnswer: -544428*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dv when two letters picked without replacement from {i: 1, w: 2, k: 1, d: 2, r: 8, v: 3}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -28*i**4 + 2*i**2*l - 94*l wrt i?\nAnswer: -112*i**3 + 4*i*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = r**3 + 2*r**2 - 3*r + 2. Let i be x(-3). Let w = 6 - i. Solve 0 = -w*g - 10 + 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2813\/49100 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/(-1) - (-13*10\/(-13) - (2 - 66))?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {y: 5, n: 1, w: 5, j: 4}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1695167 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -2*p**2 - 1. Let i(l) = 6*l**2 - 1 - 3 + 3 + 0*l**2 - 7*l**2. Let w(x) = -8 + 7*x - 3*x + 8. Let o be w(1). Give o*v(q) - 6*i(q).\nAnswer: -2*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1363 + 2?\nAnswer: 1365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29 = 4*s - q + 4*q, q = -3. Does 14 divide (-1410)\/(-6) - s\/((-15)\/(-9))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 943 - 942.99965. Round g to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 482 is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -27713 take away -11027.941?\nAnswer: -16685.059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 20173, 20054, 19915, 19756?\n\"Answer: -10*t**2 - 89*t + 20272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(2736) + sqrt(2736) + -1 + -4)**2 + 3*(3 + sqrt(19)*-1 - ((2*sqrt(152))\/sqrt(8) + sqrt(19))))*4.\nAnswer: -3888*sqrt(19) + 175540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 0.1*8084.8\nAnswer: 808.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) be the second derivative of -b**7\/210 - b**6\/96 - b**5\/240 + 2*b**2 + 5*b. Let j(u) be the first derivative of n(u). Find i such that j(i) = 0.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = t**3 - 4*t**2 + 2*t. Let q be l(4). Solve 5*z = -q - 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = j**3 - j**2 + 33. Let c be i(0). Suppose 38 + 6 = 3*p - l, -36 = -3*p - 3*l. Let q = p - c. Is -20 at most as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.05 + -0.55. Let p = 0.2 + l. Let m = 0.21 + -1.21. Which is the closest to m?  (a) -2  (b) p  (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -129 by -5.\nAnswer: 129\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 11\/261 and -9\/5.\nAnswer: 1305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.5 + 0. Let i = -12 + 6. Let d = i - -5. Sort 3, m, d in descending order.\nAnswer: 3, m, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 269*i = -1089*i + 85554 for i.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*w**2\/5 + 8228*w\/5 + 16464\/5.\nAnswer: -2*(w - 4116)*(w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 278642?\nAnswer: 2, 7, 13, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 621, -13 in decreasing order.\nAnswer: 621, 1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = u**2 + 5*u - 5. Let q be r(-6). Let z be (-112)\/85 - 444\/(-370). Which is the second biggest value?  (a) q  (b) z  (c) -3  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-4)\/22 + 0 + (-35)\/(-11). Suppose -20 = -f + r*f. Is f less than -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j + 86 = 11*i, 43*j = 41*j - 2*i + 22. Suppose -l - l + 4*p + 104 = 0, -4*l + 220 = -4*p. What is the smallest common multiple of j and l?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 e and 2 d when four letters picked without replacement from {d: 3, b: 3, e: 2}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (10 - 10) + 10\/5*-2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -a**3 - 2*a**2 + 3*a - 2. Let k be d(-3). Let i be (-1 - -7)*(-9)\/k. Suppose x + 27 = n, n - 5*x - i = -0*n. Is n a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3567554639 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1133 and 176.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 97*w - 4216 = -418*w - 16569 - 11852 for w.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from zzrzrzraanrzrna?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 74520 and 715576.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 669 minutes before 7:53 AM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 48471021 to the power of 1\/4, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 12, -1 in increasing order.\nAnswer: -5, -1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 477622 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 5\/(-4)*(-6 - -2). Suppose -s*y = -1292 - 1073. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 13\/((-6)\/(-6)*-7 - 6\/(-1)). Sort -5, -3, 0, r.\nAnswer: r, -5, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3.5 equal to -333597?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -78.8 and -1?\nAnswer: 78.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-19)\/(-38) + 467\/2. Suppose -486 = -6*q + s. Suppose q = -5*v + 130. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:43 PM and 2:45 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide -22 by 5692.\nAnswer: -11\/2846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -204 + 60 = 48*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 0*i**2 + 3*i**2 + 3*i**2. Suppose -2*c + 2 = -8. Let h(q) = q - c + 5 + 0*q. Give h(n(t)).\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-60)\/198)\/(4905\/64746).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 75091 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - 17 = -5, -69 = 5*x - 3*k. Let l = 49\/4 + x. Let f = 8\/3 + -3. What is the closest to 0 in l, f, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 79616.56 days?\nAnswer: 6878870784000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.066644 * 8.\nAnswer: -0.533152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -3 - -44 - 10 - (-12 - -15)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 273887336.\nAnswer: 2, 34235917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -7.52?  (a) -7\/4  (b) 2  (c) -2\/5  (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -322*a**3*n**3 + 184*a**3*n**2 - a*n**2 wrt n?\nAnswer: -1932*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 28\/(-2) - 3 - -2. Let p be 6\/10 + 3\/h. Let f(o) = -o - 7. Let u be f(-5). Sort p, -3, u in increasing order.\nAnswer: -3, u, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 7 + 12. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-4)\/(-6))\/((-2)\/(-12)). Suppose 13*t - p*t - 8055 = 0. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-86 - -70)*28\/(-1). Calculate the greatest common divisor of 256 and i.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 10853*l**3 + 1. Let t be p(1). Let b = 17054 - t. What is b rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is ab56 - -163?\nAnswer: b0b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 588 minutes after 9:20 PM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -90 + 105.9. Let w = 16 - b. Let g be (-9)\/(-26) - 1\/2. What is the nearest to g in w, -0.4, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d - 1852 + 2584 = 0. What is the greatest common divisor of d and 2440?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-7)\/a)**11\/(a\/(a*a*a**(2\/27)*a*a))**(-35) assuming a is positive.\nAnswer: a**(-5281\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -5*h + 66. Suppose -d + 12 = s, d = 2*d + 2*s - h. Let n = 15 - d. Which is the third smallest value?  (a) 4  (b) -1\/5  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -12*a**3 - 9*a**2 + 9*a - 9. Let x(l) be the third derivative of -l**6\/120 - l**5\/60 + l**4\/24 - l**3\/6 - 12*l**2. Determine -d(r) + 9*x(r).\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 1\/4  (b) -0.17  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 276697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4 in -7, -2\/13, -10\/29?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -10*h**2. Let t(r) be the second derivative of -r**4\/6 - 10*r. Determine t(d(f)).\nAnswer: -200*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(105)\/(sqrt(15)\/sqrt(5)))\/(sqrt(63)*-3).\nAnswer: -sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -5 + -31b?\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put together -149 and 105005589574.\nAnswer: 105005589425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 15, 36, 81, 162, 291?\n\"Answer: 2*z**3 + 7*z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -53\/1410 and -61\/8?\nAnswer: 5640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.5*-386853.9.\nAnswer: -193426.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find m, given that -4*m**5\/7 + 40*m**4\/7 + 208*m**3\/7 + 32*m**2 = 0.\nAnswer: -2, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -5, 5, 3, -290, 455 in ascending order.\nAnswer: -290, -5, -4, 3, 5, 455","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 110000010110100001100100 - -11?\nAnswer: 110000010110100001100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -t - 1. Let k(o) = -12*o - 9. Let g(l) = -l**3 - 4*l**2 + l + 15. Let j be g(-5). Let d be (-14)\/j*5 - (-3 + -8). Calculate d*w(y) - k(y).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -a6 (base 13) to base 10\nAnswer: -136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -920 = -11*y - 370. Is y a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-29)\/(-15)*3 - (-81)\/405\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*b - 60 - 24*b - 111 + 7 + 4*b.\nAnswer: -35*b - 164","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 299 is divided by 257.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 5*c - 5. Let w(h) = -1. Suppose 0 = 2*j + 1 + 3, -5*v + 2*j + 9 = 0. Let g(t) = v*m(t) - 5*w(t). Let y(i) = -i**2. Calculate g(y(b)).\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, -108, 4, 6, 2.\nAnswer: -108, -8, 2, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -6 - -6. Suppose 4*s - 3*b - 8 = -2*b, s - 4*b - 2 = 0. What is the third derivative of v*n**3 - 4*n**3 + 4*n**3 - 5*n**4 - 7*n**s wrt n?\nAnswer: -120*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 6.6 - 6.8. Which is the closest to 0.06?  (a) -4  (b) j  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -14 + 14.7. Let m = v - 0.6. Which is the closest to m?  (a) -4  (b) 1  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1452311799?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*(l\/l**(-1\/7))\/l)\/l)\/l**(2\/63) assuming l is positive.\nAnswer: l**(1\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*z + 374400 = 253*z. Is 8 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 4\/10 + 23\/5. Suppose -5*q - f - 35 = 0, -q + f - 7 = -f. Let n = 25 + q. Solve j*k - 46 = y - n, -4 = k + 3*y for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (0 - (-170)\/4)\/(4\/(-8)). Let y = l - -99. Calculate the smallest common multiple of y and 62.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (11985\/6)\/(-17)*(-1 + -47)?\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 61695.\nAnswer: 3, 5, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -72*p**3 - 26*p**2 - 76*p - 17. Is n(-18) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4 by 45042.\nAnswer: -2\/22521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 17, h: 3}. Give prob of picking 3 h.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 40 = -4*a + 5*h, 0 = 3*a + 5*h + 10. Suppose -3*j + 80 = 2*w, 0 = a*w - w + 20. Let k = -19 + j. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3454981?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -153 - -245. Is k a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 37\/981 and 44\/451369?\nAnswer: 4062321","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand -23*s**4 + 5*s**5 + 23*s**4 + (3 - 1 + 0)*(16*s + 3*s + 0*s)*(4*s**4 - 4*s**4 + s**4).\nAnswer: 43*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) be the second derivative of -19*s**3\/6 - 5*s**2 - 3*s. Let u be i(-4). What is the highest common divisor of 99 and u?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -777\/8482 or -8\/5?\nAnswer: -777\/8482","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 1 + 14*s - 13*s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -319 + -107.26\nAnswer: -426.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4 + 4 - t)*(5*t - 2*t - t) + (-4 + 4 - 2*t)*(1 + 2*t - 1) + 0*t**2 + 4*t**2 - 2*t**2 as d + z*t + f*t**2 and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 25*l**2 + 0*l**3 + 3*l + 6*l**3 - 1 - 28*l**2. Let a be n(1). Suppose 0 = a*k - 2*j - 411, j = -7*k + 3*k + 334. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*t + 4*z = 4, -4*t + 12*z - 5 = 7*z for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 70388 to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 45 divide 7487800?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 73625 + 1?\nAnswer: 73626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 35 - 106. Let m = 66 + j. Is 1*-3 - (-3 + -7812 + m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 259, 260, 265, 274?\nAnswer: 287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 5*t + 24. Calculate f(12).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -2086736 divided by -521684\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 144 a factor of 48960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7010?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 38859905?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -7*b - 18*b**3 + 155*b**2 - 155*b**2 wrt b?\nAnswer: -108*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1547 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*p + 2*p + p - p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -2*n**3 - 66*n**2 - 3*n - 43. Let o be i(-33). Suppose 22*m - o*m = -1292. Calculate the remainder when 184 is divided by m.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1089874?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 353\/3 - 2917\/24. Find the common denominator of i and -7\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -11*n + 67. Let w be g(6). Which is the nearest to w?  (a) -102  (b) 5  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - y = 0. Suppose -2*l = 5*p - 1 - 2, 2*p - 5*l + 22 = y. Is p != 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -18.43 + 18.13. Let l = -17.11 + 0.11. Let s = l - -13. What is the closest to c in 1\/8, 3, s?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 21847?  (a) -17  (b) -2\/21  (c) 1  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express -7*u**2 + 6026*u + 43*u**3 - 44*u**3 - 6024*u - 3 - u**4 in the form y*u + f*u**3 + m + x*u**2 + h*u**4 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1c4c (base 13) in base 4?\nAnswer: 1003001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -943\/11 - -88. Let i = 119\/33 - c. Factor -2*f + i + 2\/3*f**2.\nAnswer: 2*(f - 2)*(f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (13*b - 46*b - 1 + 16*b)*(-b**4 - 4*b + 4*b).\nAnswer: 17*b**5 + b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 + 7 + -2 + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of 7.39931 and -1.\nAnswer: -7.39931","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 300981472 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*q**4 + 44*q**3 + 56*q**2 - 96*q = 0.\nAnswer: -2, 0, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(1\/3)*h**(2\/3))\/(h*h\/(h*h\/h**(2\/23)*h)*h\/((h\/(h*h**(4\/5)))\/h))*((h**7*h)\/h**(-2))**(1\/11) assuming h is positive.\nAnswer: h**(28\/1265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -4448 - -4447. Let l(m) = m + 12. Give l(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -y**3 + 2*y**2 + 81589*y + 1730205 with respect to y.\nAnswer: -3*y**2 + 4*y + 81589","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) be the second derivative of 0*g**2 + 0 + 0*g**4 + 1\/30*g**6 - 1\/3*g**3 + 0*g**5 + 1\/6*g**7 - 63*g. What is the second derivative of f(k) wrt k?\nAnswer: 140*k**3 + 12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1502845?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8\/(-2)*(-22)\/(12 + -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -c00d (base 14) to base 4\nAnswer: -20002231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -414*b*l**4 + 65*b*l + 3 wrt l.\nAnswer: -4968*b*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a century in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2)\/16 + (-14408)\/(-64). Suppose -5*w = 2*j - 410, 4*j - 573 = w + f. Let c = -127 + j. Is c a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -94*p = -229 - 147. Let o = 13 - 38\/3. What is the nearest to o in 0, -2\/9, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1189559 divided by 7\nAnswer: 169937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4026 is divided by 139?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -60*n**2\/7 + 94*n + 22\/7.\nAnswer: -2*(n - 11)*(30*n + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3*o - 8*o**3 - 6*o**3 - 10*o wrt o?\nAnswer: -84*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 33\/5 of a tonne?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) be the third derivative of n**8\/840 + 4*n**7\/225 + 49*n**6\/900 - 2*n**5\/225 - 7*n**4\/45 + 383*n**2. Determine a, given that c(a) = 0.\nAnswer: -7, -2, -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 11 - 5. Let i(o) = 4*o - 20. Let j be i(w). Suppose -u + j*u - 147 = 3*d, -d = -2. Does 23 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -282377 divided by 31.\nAnswer: -282377\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12472909 is divided by 973.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7 (base 16) to base 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 435286012?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -47 - -78. Let n = -33.6 + b. What is n rounded to one decimal place?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(204)*-5)\/((sqrt(48) + sqrt(12))*-4) - ((6*sqrt(136)*-3)\/((-1*sqrt(32))\/sqrt(4)))**2.\nAnswer: -5508 + 5*sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 11662, 26741, 48670, 80875, 126782, 189817, 273406, 380975?\nAnswer: 515950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 3, 28, -15, -3, -4 in ascending order.\nAnswer: -15, -4, -3, 2, 3, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: ((-264)\/(-2))\/(((-129)\/(-903))\/((-2)\/147))\nAnswer: -88\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j - j = 2*k - 1385, 25 = -5*k. What are the prime factors of j?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 489 divided by 3?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = a**2 - 5. Calculate the smallest common multiple of 8 and w(-4).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17 - 2 = 5*l - 2*t, -17 = 3*l + 4*t for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 548874625?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find j such that -1062\/13*j**3 + 2754\/13*j**4 - 96*j - 72\/13 - 5570\/13*j**2 - 578\/13*j**5 = 0.\nAnswer: -1, -2\/17, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4a8 (base 13) to base 11\nAnswer: -680","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 1606 = -5*r, -r - 98 + 430 = 4*a. What is the highest common divisor of 30 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(77) - sqrt(77)*-1*-2) + 1*(sqrt(77)*1 + sqrt(77) - sqrt(77)))\/(2*sqrt(175) + -2*sqrt(252))*-2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -19*r + 8*r**2 + 46*r - r**4 - 25*r + 0*r**4 - 1 to the form l + h*r**4 + g*r**3 + n*r**2 + q*r and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -330.93 - -6.93. Which is the biggest value?  (a) -1  (b) 0.04  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (424\/265)\/(25\/(4500\/16)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 5, a: 11}. Give prob of sequence ahah.\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 26384894009 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 74738 = 3*f - d, -8*f + d = -6*f - 49823. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rg when two letters picked without replacement from {b: 1, f: 1, g: 2, r: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 4 = k, 0 = 4*k - 5*k - 3. What is the first derivative of -11*i**3 + 3*i**3 + 11 - y wrt i?\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 620000 to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - (2 - 2 - (-5 - -5)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 157*g**2 - 5*g**4 + 63*g**2 + 30*g**2 - 25*g**3.\nAnswer: -5*g**2*(g - 5)*(g + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 16 and 6*(2 - (-12)\/9).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 6\/31 or 0.2?\nAnswer: 6\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 15 = y + 54, 27 = -y + 3*h. List the prime factors of (-28)\/6*y\/14.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 464261 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-296*r**2 - r + 358*r**2 - 302*r**2)*(-2*r**2 - 2*r**2 + 9*r**2).\nAnswer: -1200*r**4 - 5*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 11 and 1529.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -161100 by -18.\nAnswer: 8950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = h**3 + 7*h**2 + 4*h + 2. Is 13 a factor of c(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.09 + -3.91. Let q = d + 3. Let c = 1751 - 3499\/2. Is c smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 99 = 132*c - 88*c - 165 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 588*l**5 + 1064*l**4 - 25344*l**3 + 28792*l**2 - 11148*l + 1440 = 0 for l.\nAnswer: -8, 1\/3, 3\/7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 1 + 2\/1 + (-38)\/12\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10111 + 100100011011?\nAnswer: 100100000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 38\/(-6) - (-1)\/3. Let p(r) be the third derivative of -r**4\/3 + 5*r**3\/6 - 2*r**2 + 45*r. Is p(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(-6*(-4*sqrt(170) - sqrt(170))\/sqrt(10) + (3 + sqrt(17) + -2 - 4*(sqrt(17) + sqrt(17) + -1)))**2.\nAnswer: -27054 - 690*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4*g**4 + 72*g**3 + 2*g**2 - 22*g - 32 wrt g.\nAnswer: -96*g + 432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 18 in -3\/5, 2\/3, -2, 0.03?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 6\/7, -0.0972, -10, 3, -5, 2\/9, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*x**5\/11 - 19*x**4\/11 + 9*x**3\/11 + 19*x**2\/11 - 5*x\/11 = 0.\nAnswer: -5, -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 705 is divided by 140.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h*(h*h**(-1)\/h)\/h*h)**(-40))**(-1\/27)\/(((h**1*h)\/h*h)**(-21)\/(h*h**0*h**(-3))) assuming h is positive.\nAnswer: h**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 63 a factor of 39690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 24, 67, 102, 129?\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -472*y + 219401 = 229785 for y.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4468, 4494, 4532, 4582, 4644?\nAnswer: 4718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + -3 + (-4 + 5 + (2 + sqrt(1088) - sqrt(1088)) - (2*sqrt(1088) + -5 - ((sqrt(1088) - 1*sqrt(1088)) + -1))))**2.\nAnswer: -288*sqrt(17) + 4433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 24752487 to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10, 18, 0.08, 11\/4, -1, 0.1 in decreasing order.\nAnswer: 18, 10, 11\/4, 0.1, 0.08, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2\/7, 0.24, 0.025?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -152514359, -152514356, -152514353, -152514350?\n\"Answer: 3*z - 152514362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gggkklltllgllqtgd. Give prob of picking 1 d and 1 t.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 15 = -3*s. Let i(f) = f + 7. Let t be i(5). Solve 3*q = t + s for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*o - 35 = 3*r - 59, 0 = -2*r + 8 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in twenty-one eighths of a kilogram?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 215522974?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 2720 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - 4 = -0*k + 3*x, -2*k - 5*x = 16. Suppose -5*h + 5*f = 0, -k*f = -f - 2. Suppose 0 = -h*j + 6 + 6. Let m(v) = v - 6. Calculate m(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 411 - 405. Let i(z) = -2*z + 12. What is i(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 45447 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -41, -80, -119, -158?\n\"Answer: -39*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 + f - 5 + 3*f**2 + 5 to j*f**2 + g + p*f and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.920140818 to three dps.\nAnswer: 0.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 403.03 + -404.6933. Round r to 2 dps.\nAnswer: -1.66","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1.6 - -0.4. Let p = 0.06 - 0.46. Suppose 2*x = 8*x. Which is the closest to n?  (a) x  (b) -4  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 11 = 4*f, -3*g = 4*f - 3*f - 6. Let q be (1029 - 15) + f\/(-1). Suppose 0 = 2*o - 2921 + q. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*m**6 + 7716*m**5 - m**4 - 2*m**2 - 1704*m - 1 wrt m?\nAnswer: -240*m**3 + 462960*m**2 - 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 greater than 7\/1745?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 360 minutes after 9:57 AM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -35.8*-3.\nAnswer: 107.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -57\/1472 and ((-6)\/9)\/(64\/(-132)).\nAnswer: 1472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (36 - 36 + 50*j**2)*(-2 - 5 - 6 + (-1 + 2 + 1)*(1 + 3 + 0)).\nAnswer: -250*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 182142941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*g - 2 + 2 - 4*g + 5*g - 3*g + (-5 + 3 + 0)*(g + 1 - 1) + 0*g + 0*g - 2*g - 8*g + 2 - 2)*(318 - 1857 + 399 - 998) in the form b*g + w and give b.\nAnswer: 34208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 927.4569 centuries?\nAnswer: 9274.569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 526623 and 12426?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:02 AM and 9:16 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1917\/50 + 192\/5. Let h be 222\/70*(-2)\/(-180). Let f = h + p. Which is smaller: -1 or f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -5471*i + 60195. Calculate n(11).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 3 + 3074*w**2 - 3.\nAnswer: 3074*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -169 in -8, -4, -2\/13, 3, 4?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 97 - 96.9999957. Round a to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 20395 - 2039543\/100. Find the common denominator of i and -101\/80.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 7500 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00014327171 rounded to seven decimal places?\nAnswer: -0.0001433","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Put -188, 6, -2, 0 in descending order.\nAnswer: 6, 0, -2, -188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide 47944136 by 11986034.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 28703285 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p = -z - 6, 3*z + 54*p - 24 = 49*p. Let l be (-38)\/(-14) - 4\/(-14). Suppose -l*d - z = -0. Which is smaller: d or -0.18?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17.35879 - 359283262.\nAnswer: -359283244.64121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -219, -224, -231, -240, -251?\nAnswer: -264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) be the second derivative of -p**5\/10 - p**4\/4 + p**3 + p**2\/2 - 55*p + 1. Calculate the remainder when 226 is divided by t(-4).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*q + 22*q - 4*q - 1.\nAnswer: 23*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Determine y, given that y**4\/4 + 1129*y**3\/2 - 31903*y**2\/4 - 53960*y = 0.\nAnswer: -2272, -5, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 0 - 3 - (-1 + -8). Solve -l - 2*g = g + j, g + 9 = 2*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + 0 + 2)*(1 - 2 + 5)*(-25 + 25 - 3*w) as x*w + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 124452*x**3 - 19310*x wrt x.\nAnswer: 746712*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (0 - (-1 - -2)) + 3. Suppose -43*g = -28*g - 2 + 2. Solve -3*v - x*v = g for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-276)\/(-27) - 10) + (-4)\/18. Is 1\/114 at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vjd when three letters picked without replacement from adadjavvld?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -8 + -17 + 8 - -21\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/(1 - -2) - 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:23 AM and 2:22 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f**2\/3 + 10*f\/3 + 4 = 0 for f.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 2*d = -v - 8, 25 = -5*v + 5*d. Suppose 4*i = 2*r + 5 - 35, -5*r = -3*i - 40. Sort v, 3, r in decreasing order.\nAnswer: r, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -12*u - 71. Determine g(8).\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 188421.\nAnswer: 3, 181, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*6*((1*sqrt(187)\/sqrt(11) - (-2 + sqrt(17)*2)**2) + 0).\nAnswer: -864 + 108*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 32555, 65111, 97665, 130217, 162767, 195315?\n\"Answer: -j**2 + 32559*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (-338)\/1690*5\/23\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p - 10 = -110. Suppose 5*r - p = 15. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 91812 is divided by 91739.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*b - 4*b + 66*b)*(-8 - 2*b - 16 + 0*b).\nAnswer: -116*b**2 - 1392*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -89\/609 and 7\/2.\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 671545?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Product of 69516.8 and 2.\nAnswer: 139033.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*p - 7*p + 8. Let y(l) = -2*l - 4*l**2 + p*l. Let g(u) = 9*u**2 + 2*u**2 - 9*u**2. What is g(y(f))?\nAnswer: 32*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*y + 21*y - 19*y - 4*y.\nAnswer: -17*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v - 5*v = -412 + 400 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18139 = 5*u - 32781. Is 8\/(-4) - u\/(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 4\/(-6) - ((-176)\/6)\/11. Solve -5*a - 3*y = -13, g*a + 2*a - 5 = 3*y for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4182017 take away -1084678?\nAnswer: 5266695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7204*y**2 - 1514*y**3 - 7204*y**2.\nAnswer: -1514*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (11 - 6) + (-3 - (-4 - -5))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.9?  (a) 2\/11  (b) -3  (c) 6  (d) -32.6  (e) -0.7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 212003563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20*199.5.\nAnswer: 3990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 714 + -701. Which is smaller: -25\/3 or t?\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (3*(-1 + 0) - -67) + -4. What is the greatest common divisor of 15 and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (45\/18)\/(20\/(-128)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = 2*p - 3, 5*y - 3 - 2 = 5*p. Suppose -9 = -5*a + 4*z, -4*z = -p*a + z. Solve -a*i + 0*i = -5*t, -i + 3*t = -8 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) be the third derivative of -z**5\/20 - 5*z**4\/24 + z**3 - 2*z**2 + 199*z. Let t(v) = v**2 - v + 1. Give p(s) - 4*t(s).\nAnswer: -7*s**2 - s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 80 + -75. Suppose -5*r - 4 = 2*y - g, 3*y - 2*r - 11 = 0. Suppose -608 = -t - y*t. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in eighteen sevenths of a week?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 4\/3 + 3\/(-9). Sort -2\/7, 5, p.\nAnswer: -2\/7, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.42 - 0.12. Suppose 1 = 3*x - 5. Let k be (-4)\/6*(-2)\/4. Which is the biggest value?  (a) k  (b) x  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-926)\/11 - 3) + 89 + (-37126)\/418.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -4*a - 1. Let i(s) = 4 + 4*s - 10*s - 1 - a. What is the units digit of i(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 12 - 11 - 11 - 6*l. What are the prime factors of x(-4)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 94 + -62. Suppose 4*i = -3*t - 0 - 13, -5*t - 3 = 2*i. Let b be q\/18 + i\/(-18). What is the closest to 2 in -1, 1\/2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -11*s**2 - 5*s - 203. Let f(j) = 2*j**2 + j - 1. Give b(p) + 6*f(p).\nAnswer: p**2 + p - 209","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 0 - -bb?\nAnswer: bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*y\/y**(3\/5))**(-36)*(y**12\/y)**(-23))**26 assuming y is positive.\nAnswer: y**(-39442\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 4 - (2 + 2 + -5). Let s = a + 6. Suppose s = 3*u - 307. Does 31 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t = -8*f + 5*f + 10, -4*f + t - 4 = 0. Let v be 1\/f*(0\/3)\/11. Which is the closest to v?  (a) 17  (b) 0.2  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 - (48\/232)\/3\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1105, 8870, 29971, 71080, 138869, 240010, 381175, 569036?\nAnswer: 810265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 19*d - 1. Let b(w) = 9*w - 1. Let u(z) = 5*b(z) - 2*c(z). Let j be u(7). Is 11 a factor of 2\/(-4) - j\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/15, 4, 0.3, -308 in descending order.\nAnswer: 4, 0.3, 2\/15, -308","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p + 12 - 40 = 0. Let m(k) = -k**3 + 7*k**2 - k + 10. Let x be m(p). Suppose -1310 = -5*u + 3*r, -2*u + 1350 = x*u + 5*r. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 669233.\nAnswer: 29, 47, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let -u**3\/7 + 97418*u**2\/7 + 194857*u + 682024 = 0. Calculate u.\nAnswer: -7, 97432","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide -10988260 by -148.\nAnswer: 74245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:29 PM and 7:37 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 14 + -9. Solve d*a**3 + a - 6*a**2 - 2*a**3 + 2*a**2 = 0.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*o + o + 5*o)*(0 + 0 + 2)*(-180*o + 172*o + 96 - 111).\nAnswer: 16*o**2 + 30*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -3710.01413 to the nearest 100.\nAnswer: -3700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -123 - -123. Which is the closest to k?  (a) 16  (b) -2\/11  (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + -5 + (sqrt(2160) - 4*sqrt(2160) - sqrt(2160) - sqrt(60))\/sqrt(3))**2.\nAnswer: 500*sqrt(5) + 12525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -166 - (8\/4 + -3). Let p = 838 + x. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = 4*x**2 - 57*x + 343. Calculate k(7).\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u - 4*u - 20 = 0. Let h = 47 + u. Is h greater than 43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 42962.\nAnswer: 2, 21481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(1\/2))**14*(p*p**(-14))\/p*p**(-10)\/p*p)**(-30) assuming p is positive.\nAnswer: p**510","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4683, 5024, 5355, 5676, 5987?\nAnswer: 6288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) be the second derivative of n**4\/12 - 2*n + 21. Let y be 1\/(((-1)\/3)\/(-1)). Let c(z) = 4*z**2 + z**2 - y*z**2. Determine c(s(f)).\nAnswer: 2*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) 1\/2  (b) -3  (c) -6\/11  (d) 0.42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eeepq. Give prob of sequence eqp.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7744300 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9052048?\nAnswer: 2, 149, 3797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 64724, -38, -1 in descending order.\nAnswer: 64724, -1, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 136*p + 2996380 - 3009436 = 0 for p.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 263029?\nAnswer: 13, 20233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g + 23 = -6*a + 10*a, -3*g = -a - 4 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1096304 by -8.\nAnswer: 137038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 10 and 398.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -130 + 65?\nAnswer: -cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*h**2 + 2*h**3 - 4*h**2 - h**3 in the form g*h**2 + f*h**3 + j + c*h and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8 = 4*l - 2*o, 4*l = -o + 5*o for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2\/4*(-14)\/21. Let j = 342 + -3760\/11. Which is the second biggest value?  (a) -2\/7  (b) j  (c) 0.2  (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 430*w**2. Let s(d) = -d**2 + d + 3. Let g(h) = h + 3. Let m(o) = g(o) - s(o). Determine m(u(k)).\nAnswer: 184900*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 8.2, -1, 10033?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 136\/3 + -46. Let k = 19\/4 - 5. Which is the closest to 2\/7?  (a) l  (b) k  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (0 - -4)\/((-28)\/42). Let g(a) = 11*a - 15. Let b(y) = -5*y + 7. Give c*g(j) - 13*b(j).\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 349475 and 8575?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2411 + -2404. Solve i = -5*b - 3 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h - x = -36, 0*h + h = -x + 9. Suppose -4*t - 3*i = -36, 0 = -2*i + 1 - h. Suppose u - 4*u = -t. Solve -u = -3*s + 5*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 75 divide 446219608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 8\/(-3)*15\/(-4). Suppose -v*h + 9*h = -24. What is the highest common factor of h and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/(-1)*(-42)\/42?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (3 - 7 - -8 - 6) + 1642. Suppose 0 = 3*h + 5*h - m. Let k = 372 - h. What are the prime factors of k?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1*(-2*1 + 2). Suppose 0 = q - r - 32, n*q + 26 = q - 3*r. What is the remainder when q is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -55*c**2*o**2 - 223*c**2*o + 2*c*o**2 - 108*o**2 wrt c?\nAnswer: -110*o**2 - 446*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) be the second derivative of z**4\/12 - 11*z**3\/6 - 5*z**2 + 3*z. Let d be x(12). Is (-3 + 21\/2)*d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - 93*s + 94*s + 79858 = 0, -3 = s. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9.7*-0.5\nAnswer: -4.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 12301690 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 4447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 g and 1 m when three letters picked without replacement from fgbmkfgbgpbgbpkpmf.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 = 7*n - 27 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33 - 5 = -5*d - n, 4*d - n = 25. Let b be (-10)\/(-35) - (-131)\/d. Suppose 5*x - s - b - 1 = 0, 4*s - 16 = -4*x. Solve -3*i + x = 13 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 19*y**4*z**3 + 2102*y**4*z + 53*y*z**3 - y*z**2 + 94*y*z + 2*z wrt y.\nAnswer: 228*y**2*z**3 + 25224*y**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -120541 - -43394809\/360. Calculate the common denominator of 55\/6 and i.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i - 2*i = -30. Suppose -3*x - 6 = -5*x. Suppose -4*r - 13 + 5 = 2*f, -4*f = x*r + i. Solve -l + 1 + 0 = f for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1195*z - 1195*z - 96*z**3.\nAnswer: -96*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 83106 and 76?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 135008929.\nAnswer: 11, 12273539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 69\/20338052 and 29\/84.\nAnswer: 61014156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 0.6, -0.143, 2\/127, 42, 9?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -769*h**2 - 2*h + 11647 - 11647 to q + m*h**2 + o*h and give m.\nAnswer: -769","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 6.162 + -5.962. Let g = 59\/85 - 5\/17. What is the nearest to 1 in z, g, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -37.09609 - -37.1. Round g to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) be the first derivative of -3*k**2\/2 + 20*k + 402. Let m(r) = r - 10. Determine 2*d(z) + 5*m(z).\nAnswer: -z - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 72 and 10774341.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.4, 3\/8, -78, 2 in descending order.\nAnswer: 2, 3\/8, -0.4, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -191352 divided by -714?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 0.3, 5\/6, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 99726 less than 99725?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -8\/7, 1\/5, 0.5, 3, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.344723t in nanograms?\nAnswer: 7344723000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2 - -4. Sort q, -3, -2, 1.\nAnswer: -3, -2, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-13 - -1) + (141 - 138).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1206.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1334247887 to the nearest integer?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-44)\/(-99)*27\/18.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.14 + 1.24. Let w = 22\/13 + -128\/91. Let k be 12\/(-30)*9 - (-2)\/(-5). Which is the nearest to w?  (a) 1\/4  (b) o  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -y**2. Let k(h) = -50*h**2. Give k(j(b)).\nAnswer: -50*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out 32 - -228233690.\nAnswer: 228233722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((2*o - 1 + 1)*(2 + 2 - 5) + (0 - 1 + 0)*(o - 4*o - 5*o))*(o + 2*o - 5*o) to h*o**2 + v*o + z and give h.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-five halves of a minute in seconds?\nAnswer: 1650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 - o**2)*(0 - 5 - 5) + (-4 - 2*o**2 + 4)*(5 - 4 + 0).\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 11*s = 7. Let b be 0\/(-2 - s) - (4 - -1). Sort b, -0.2, -1.\nAnswer: b, -1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -27274*l**3 + 92759*l**2?\nAnswer: -163644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00083842119 to 4 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -870 + 1706. Is 22 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*s = 3*g + 94, 2*s = -1396*g + 1398*g + 36 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = j - 1. Let y be n(4). Solve 7 = -y*p - 2 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z = -6, 4*f + 3*z - 148 = 5*z. Suppose 4*c = -0*c + f. Suppose -2*q + n + n + 4 = 0, -c = 3*q + 2*n. Is q less than or equal to 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -982.8 and -0.0078323943?\nAnswer: 982.7921676057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-57 + -3 - (0 + -11 - -8)) + 4 + 3?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -5\/3  (b) 5  (c) 4  (d) -2\/3  (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0\/(-10)*1*1\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-33)\/6*2*(-9)\/9.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 230996199 * 1.\nAnswer: 230996199","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 2667 = 2673. Let q(p) be the second derivative of 2\/5*p**z + 0 + 0*p**2 + 4*p - 2\/5*p**5 + 0*p**3 - 1\/3*p**4. Factor q(l).\nAnswer: 4*l**2*(l - 1)*(3*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(363)*1)**2 + (0 + (sqrt(18)\/sqrt(6) - sqrt(3)))**2.\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*w**2 + 177080*w - 2125536 = 0. What is w?\nAnswer: -44282, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3344841?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m = -5*m + 30. Is m a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00642225 rounded to four dps?\nAnswer: -0.0064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 3, i: 3}. Give prob of picking 3 i and 1 x.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3880*t**5 - t**4 - 7692*t**2 + 14*t.\nAnswer: 232800*t**2 - 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 184 and 12604?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-10 - -12) + 1 + -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/(1\/(-1))*-1*2055\/(-7398)?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 5849433518 minus 17.23?\nAnswer: 5849433500.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 126, 124, 122, 120, 118?\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 16181.09433 + -16181. Round h to three dps.\nAnswer: 0.094","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 2*k**2. Let v(h) be the second derivative of h**4\/12 - 2*h**2 + 2*h. Let f(q) be the first derivative of v(q). What is f(y(t))?\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -564 + 22553\/40. Calculate the common denominator of -47\/88 and z.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 6*i + 7*i + 0*i + i - 2*i. Let z(v) = -18*v. What is z(p(x))?\nAnswer: -216*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*b - 3*n = -6*n - 60, 74 = -3*b - 4*n + 9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 2*w - 3. Let b be (2 - 6)*(-2)\/(-4). Let u be 3 - (b + 6 - 6). Calculate the smallest common multiple of 15 and n(u).\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -536445506967 and -4.7?\nAnswer: 536445506962.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -5*p + 3*n - 5*n, -20 = 4*n. Is (-3651 - -5)\/((-4 + 2)*p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) be the first derivative of -p**3 + 0*p - 2 - 3\/7*p**7 + 0*p**5 + 0*p**2 + 0*p**6 + 0*p**4. Find the third derivative of w(s) wrt s.\nAnswer: -360*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(76) + 1*sqrt(76)\/sqrt(4) + -2)**2.\nAnswer: -28*sqrt(19) + 935","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.79781 weeks in hours?\nAnswer: 1142.03208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m = -j - 0*j + 1, -5*m + 5 = -2*j. Suppose -5*c - 7 + 84 = -4*x, j = -2*x - 6. What is the remainder when c is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 189650507 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 39776461 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) be the second derivative of -t**8\/756 - 2*t**7\/315 - t**6\/135 + 3*t**2\/2 - 6*t. Let s(f) be the first derivative of v(f). Factor s(h).\nAnswer: -4*h**3*(h + 1)*(h + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6118 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1255 or 1254?\nAnswer: 1255","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 2, n: 9, h: 8}. Give prob of picking 1 p and 2 n.\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 268*f - 27 = -269*f, 0 = 2*d - 2*f - 62. What is the remainder when 47 is divided by d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*x + 0*x = -144. What is the remainder when x is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0017160333 to 6 dps.\nAnswer: -0.001716","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 588 - 498. What is the remainder when m is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence me when two letters picked without replacement from {y: 3, i: 5, e: 3, m: 3, z: 2}?\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3283 - 3282.52. Sort -2\/9, 2, s, 0, 0.5 in decreasing order.\nAnswer: 2, 0.5, s, 0, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 65\/4, -24, 142, -781 in decreasing order.\nAnswer: 142, 65\/4, -24, -781","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p = 2*n - 4 + 34, 3*n + 29 = -2*p. Let d be (-20)\/n + 6\/33. What are the prime factors of (-1 + d)*16 - -1?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12392.\nAnswer: 2, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 41, 82, 123, 164, 205, 246?\n\"Answer: 41*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 4\/5  (b) 0.26838  (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2756 is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1446904, 2893809, 4340714, 5787619, 7234524, 8681429?\nAnswer: 10128334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3271403535?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 141 minutes after 2:14 PM?\nAnswer: 4:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 13 - 14. Suppose 24*a + 240 = -56*a. Sort -35, 0, a, x.\nAnswer: -35, a, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (171\/(-36))\/(-19)*56?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.92 - -1. Let d = j + 0.92. Which is the closest to -0.1?  (a) d  (b) -5  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 141 divide 4802100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5*-0.049.\nAnswer: 0.245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + (-4 - (-3 - 0)) + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 a and 2 o when four letters picked without replacement from {l: 4, a: 2, d: 3, o: 6}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 7a5 - 3?\nAnswer: 7a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 3413 divided by -3?\nAnswer: -3413\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -5161, -19550, -43529, -77098?\n\"Answer: -4795*w**2 - 4*w - 362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -67 + 67 + 6*w**2.\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -9*a**2 + 40*a + 40. What is x(-1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 642 is divided by 51?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3 + 2. Suppose -20 = -x*n, 0*n + 340 = 4*u + 2*n. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -21 - -29. Suppose 0*h + 2*h - k = 0. Let s be 2\/1 - 0\/(-2). Solve -3*n = h*m - s + 9, 0 = -m - 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -13.418 less than -6?\nAnswer: 7.418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 6*g**2. Let c(x) = 8*x - 7*x + 5*x + 15*x + 13*x. Give c(o(d)).\nAnswer: 204*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 169770046 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -3\/5, 0, 1.5, -1.55.\nAnswer: -4, -1.55, -3\/5, 0, 1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 229.1 times 0.011447\nAnswer: 2.6225077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 8, s: 2, x: 2}. Give prob of sequence sss.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1 + (-3)\/(3594624\/1066898). Let r = 2\/9361 - y. Calculate the common denominator of 65\/24 and r.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide -3*(-1939)\/(-105)*-5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/4, 0.01, 2\/9, -0.2 in decreasing order.\nAnswer: 1\/4, 2\/9, 0.01, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in six fifths of a centimeter?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 + 7 + 2)*(3 + 0 - 4)*(-21*s + 40 - 40).\nAnswer: 294*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 63*b + 363. Calculate j(-21).\nAnswer: -960","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -168 divided by 8?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 86, 4, -4, -5, 0, -2 in decreasing order.\nAnswer: 86, 4, 0, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2 - 4) + 0 + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 5 - 19. Suppose 0 = 142*c - 110*c - 672. What are the prime factors of c\/m*(-618)\/9?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*b - 4, 5*i - 2*b - 14 = -4*b. Suppose -i*m = 29*m - 744. What is the smallest common multiple of m and 135?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -182\/9, -0.06, 2\/19?\nAnswer: -182\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-7)\/(-3))\/(2\/12). Suppose 5*u + h = 9*u + i, 0 = 4*u - 5*i - 2. Let z = 19 - u. Calculate the remainder when 141 is divided by z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 205082?\nAnswer: 2, 41, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 14 - 28. Let w = j + 12. Let v be 4 + (-1)\/w*34. Solve 0 = 2*y - 4*p - 6, 0*y + 5*y + v = -2*p for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-65)\/26)\/(200\/(-32))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -66199 greater than or equal to -67588?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 560\/266 + 2\/(-19). Solve p = 2*p + j*r + 8, p = 2*r + 8 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6344145.\nAnswer: 3, 5, 17, 8293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(84) + -3*sqrt(84)*3 + sqrt(84))\/(1*sqrt(108)))\/(sqrt(4)*2*-5 - (sqrt(144) + (sqrt(144) - sqrt(144)*6))).\nAnswer: -sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -3 (base 11) to base 9\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2*((-2)\/(-1) + -4). Let o = 6 + t. Suppose o*k = -0*k + 2. Sort k, 0, 3 in decreasing order.\nAnswer: 3, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 7 and 19957.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -298, -297, -296, -295?\nAnswer: -294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 37 - (6289\/(-4303))\/((-1)\/(-13)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 5, x: 2, v: 2, b: 4, d: 1}. What is prob of picking 1 x, 1 v, and 2 b?\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l = 2*a - 35, -5*a + 94 = -6*l + 2*l. What are the prime factors of ((-12)\/a)\/((-2)\/123)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -41 + 27?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10100011020 (base 3) to base 8.\nAnswer: 200274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4295 + 4351. Which is greater: f or 42?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-415 + 412 - (-2 + (-58 - -2))) + (-1 - -1).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -34*b + 6. Let i = 10 - 15. Let n be h(i). What is the highest common divisor of 16 and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -35*i + 37. What is n(-3)?\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2836998 and 308287116.\nAnswer: 924861348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k + l = -132, 15*l - 14*l + 24 = -k. List the prime factors of (-9)\/k + 10556\/12.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 140 + -8. Let n be w\/8*40\/6. Let p = -39 - -49. What is the greatest common divisor of n and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 298 minutes before 11:22 PM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -10310110 (base 4) to base 10\nAnswer: -19732","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 8*l**2. Let n(y) be the third derivative of 0 + 0*y**3 + 0*y + 1\/60*y**5 + 8*y**2 + 0*y**4. What is n(u(b))?\nAnswer: 64*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) be the third derivative of -w**6\/240 - 7*w**4\/24 - 6*w**2. Let r(t) be the second derivative of c(t). Let p(s) = 2*s**2. Give r(p(v)).\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = z**3 + 5*z**2 - 4*z - 6. Let l(s) = -3*s**2 - 9*s + 10. Let v be l(1). What is the smallest common multiple of 678 and w(v)?\nAnswer: 4746","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g*g**4*g*g)\/g*g**(-4)*(g**1)**18 assuming g is positive.\nAnswer: g**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1129358?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 3 + (-5 - 196639\/27). Let k = 7284 + g. Calculate the common denominator of k and -50\/27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = y**3 - 13*y**2 - 15*y + 9. What is k(14)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 2*j - j**2 - 11*j - 5*j + 3 - 1. Calculate the remainder when n(-6) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8247*m - 2598*m + 5325*m + 1559*m + 5621*m.\nAnswer: 18154*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 2*y**3 + 5. Let b(f) = 1. Calculate 6*b(t) - q(t).\nAnswer: -2*t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) be the third derivative of -l**7\/90 - 2*l**6\/45 - 11*l**5\/180 - l**4\/36 - 7*l**2. Factor t(d).\nAnswer: -d*(d + 1)**2*(7*d + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 81073965 divided by 1?\nAnswer: 81073965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1393 - -1498. Let v be (1 - -9)\/((-2)\/3). Let i = 36 + v. What is the greatest common factor of a and i?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 347524 a multiple of 307?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 294?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4 + 3 - -3) + (-88 - -52) + 8?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 1, r: 2, o: 1, x: 2}. What is prob of picking 1 r and 1 x?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n - 2 = -5 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = t**3 + 4*t**2 + 4*t + 1. Let y be i(-3). Let k be (-6)\/(-4)*y + 0. Suppose 3 = v - 0. Which is the third smallest value?  (a) 4  (b) k  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -115233*g*q**3 + 17*g*q**2 - 3*g*q - g + 2*q**5 - 20*q**4 - 53*q - 21 wrt q.\nAnswer: -691398*g + 120*q**2 - 480*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 667?\nAnswer: 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 2*v. Let m = 2 + 1. Let z be 0 - 4*(3 - 4). Let t(u) = z*u - m*u + 0*u. What is n(t(d))?\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -41766 or 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -623*n - 1151. Let f(k) = -104*k + 1. Give -6*f(s) + g(s).\nAnswer: s - 1157","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -8*x**4 + 10*x**2 - 486.\nAnswer: -32*x**3 + 20*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = m + 22. What is t(0)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 689 minutes after 2:46 AM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -x - 1. Let h(v) be the second derivative of -v**2\/2 - 5*v. What is 2*h(l) - 2*q(l)?\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -n**2. Let y(u) = 406063*u**2. What is t(y(p))?\nAnswer: -164887159969*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*c**5\/9 + 4388*c**4\/9 - 8848*c**3.\nAnswer: 2*c**3*(c - 18)*(c + 2212)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -0.17929 * 5\nAnswer: -0.89645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Are -824 and -824 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 840 and 3189620?\nAnswer: 19137720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v - 1641 = -1659. Solve 3*t - v = 4*o - o, 2*t - 5*o - 4 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -323401\/8 + 40425. What is the fifth smallest value in -35, y, -1\/10, 2, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 114941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -672.3 + 673.3. What is the nearest to 0.05 in c, 2, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 373283233 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from aaiaaaaaaaaaaaaaaia. What is prob of sequence ai?\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (17 - 60 - 14)*(1 - 1 + 2*i)*(-31 - 38 - 140).\nAnswer: 23826*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(240)\/sqrt(96))\/sqrt(8) + 4.\nAnswer: 5*sqrt(5)\/4 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xn when two letters picked without replacement from {x: 10, n: 6}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -24*i - 21. Let l be u(-1). Solve 0 = 2*a - l*g - 6, 10 = -4*g - g for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) be the first derivative of -4*r**3\/3 + 360*r**2 - 716*r - 453. Solve o(t) = 0 for t.\nAnswer: 1, 179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 308, 590, 814, 950, 968, 838, 530, 14?\n\"Answer: -5*h**3 + h**2 + 314*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 80 + 770. Calculate the highest common divisor of t and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 - 50\/(-15))*-3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -14, -50, -146, -332, -638?\nAnswer: -1094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 6, r: 6}. What is prob of picking 4 r?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vkdf when four letters picked without replacement from vavvfkvd?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 15\/4 of a meter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 13934283 by 422251.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1530.74 + 1531. Which is the nearest to 1?  (a) 0.4  (b) q  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 120 minutes before 2:06 PM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) be the third derivative of n**6\/300 + 2*n**5\/75 - 437*n**4\/60 - 11192*n**2. Factor c(a).\nAnswer: 2*a*(a - 19)*(a + 23)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1, -7, -15, -23, -31, -39?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 1\/30 of a week?\nAnswer: 336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 106 - 113. Let n = -28\/5 + 206\/35. What is the third smallest value in s, n, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1769599 = 1769680?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sj when two letters picked without replacement from {s: 10, j: 1, p: 1, a: 1}?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -k**2 - 7*k - 8. Suppose -5*g - 5*p - 12 = -g, -3*g + 14 = -2*p. Calculate the remainder when g is divided by d(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(3\/8))**(-30)\/((r**(-7)*r)\/r*r*r**(-11\/2)) assuming r is positive.\nAnswer: r**(1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -101\/612 and -32\/3213.\nAnswer: 12852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pw when two letters picked without replacement from pglzzzgwlgm.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -42 + 56 + 14 + -124?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**1\/(c*c\/((c\/(c\/(c*c**(-1\/15))))\/c)*c*c*c))\/(c*c*c**(1\/3)*c)**(-27))**(6\/23) assuming c is positive.\nAnswer: c**(2578\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, 5, -5, -4 in increasing order.\nAnswer: -5, -4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 + 2)*(-x**5 - 13*x**5 + 7*x**5).\nAnswer: -14*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-1)\/(-3))\/(7 - 7196\/1029). Find the third derivative of -9*h**2 + 92*h + v*h**4 - 181*h + 90*h wrt h.\nAnswer: 1176*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 2 - 23*i.\nAnswer: -23*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let -98*h**4\/3 - 19922*h**3\/3 + 17624*h**2\/3 + 688952*h\/3 + 460768 = 0. Calculate h.\nAnswer: -204, -22\/7, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -5678 divided by -2839?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -3.29, 0.6, 3, -4, 4 in decreasing order.\nAnswer: 4, 3, 0.6, -3.29, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 6 and 1218?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -35 - -23. Calculate the remainder when (-13)\/(-6)*y\/(-2) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13911 + 26584 + 37797 = -1030*j for j.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 130567681?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -18441, -18418, -18395, -18372?\n\"Answer: 23*v - 18464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(52) - sqrt(104)\/(sqrt(10)\/sqrt(5)))\/(sqrt(20)\/(sqrt(5) + (sqrt(20)\/sqrt(4) - sqrt(5)))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*t + 210*t + 13*t.\nAnswer: 214*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(-1\/4))**(1\/34)\/(s**(2\/7)*s)**(-1\/29))\/(((s*s\/(s\/s**(-2\/5)))\/s)**(-1\/3))**(-5\/16) assuming s is positive.\nAnswer: s**(3257\/41412)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-16)\/320*15)\/(5\/(5\/(-6))).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (x - 4*x + 5*x)*(-8 + 5 - 5)*(0*x**4 + 3*x**4 + 0*x**4 + (-x**3 + 7*x**3 - x**3)*(-2 - 2*x + 4 + 0)).\nAnswer: 112*x**5 - 160*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 65 is divided by (-238)\/(-21)*(-3)\/(-2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4433 (base 5) to base 11\nAnswer: -512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z - 9 = -27. Suppose 2*j - 2*w = -2, 14*j + 3 = 16*j - w. Suppose 17 - 45 = -4*y - j*a, -31 = -3*y - 5*a. Solve q + 5*r + z = 0, -r = r + y for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 14*o - 39. Let y be k(8). Round y to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2210210001111 (base 3) to base 6.\nAnswer: -51545234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 24 + -14 + -1 + -12?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 88 is divided by 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 62200 to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -14010314 (base 5) to base 4\nAnswer: -202200112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kfc when three letters picked without replacement from {f: 9, c: 2, o: 1, k: 1}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (133 + 616*r - 133)*(145 - 22*r**3 - 145) in the form i*r**4 + a*r**2 + x*r**3 + o + y*r and give i.\nAnswer: -13552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 91\/56904 and 97\/768.\nAnswer: 1820928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 181*m**2 + 3*m + 2. Does 30 divide d(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5114 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2\/(-11) + (1 - (-48)\/22). Suppose 4*k = -w*k + 9170. Round k to the nearest 100.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*b = 2926 - 434. Let a = b + -167. What is the highest common factor of 315 and a?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13060328 to the power of 1\/5, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*d - 48 = -13*d. Suppose 5*z + 2*y + 49 = 0, -3*y + d + 18 = -4*z. Let l = 0.23 - -0.07. What is the second smallest value in z, -3, l?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = z**2 - z + 20. Suppose 6*p - 2*p + 19 = 3*c, -3*p = 3*c + 9. What is the least common multiple of r(0) and 16\/(-28)*14\/p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 1063 = -625. What are the prime factors of -4 - 52\/(-14) - q\/(-14)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 165676 and 497028.\nAnswer: 497028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-2\/59)\/(l*l**28\/l)*l**(-16\/3)\/l**(-5))**(-34) assuming l is positive.\nAnswer: l**(170714\/177)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1161474206?\nAnswer: 2, 22109, 26267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3 + -1. Let d = -0.09 - -0.29. Which is the third smallest value?  (a) -5  (b) o  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.18, 5, 3, -152\/7951, -0.3 in ascending order.\nAnswer: -0.3, -152\/7951, 0.18, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -84 - -426. Find the third derivative of -183*s**3 - 13*s**2 + z*s**3 - 179*s**3 wrt s.\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*6*(4*(3 + sqrt(245))**2 + 3)*3.\nAnswer: -91710 - 15120*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 4638130 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u = i - 9, 7*i - 18 - 45 = 5*u. Let n(d) be the first derivative of i + 3\/2*d**2 - 4\/3*d**3 - 1\/4*d**4 - 3*d. Calculate n(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 20316, 1, -3 in ascending order.\nAnswer: -3, 1, 20316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 3*a - 3*y - 26, 2*a = -y + 9. Let t(k) = -2 - 3 - 1 + k + a. Let w(h) = 3*h**3 - 4*h - 4. Let u = 7 - 11. Calculate u*t(g) - w(g).\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 277156.7 centuries to millennia.\nAnswer: 27715.67","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 31037, 62093, 93161, 124247, 155357, 186497, 217673, 248891?\n\"Answer: z**3 + 31049*z - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + 16 + -8 - 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-192)\/572 - (3 + (-82)\/26)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 8695.3 + -8134. What is m rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11982027 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) 10  (b) 5  (c) 0.5  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -8.7 - -7. Let g = j - -2. Let q = -3.1 + -0.9. What is the nearest to 0 in 5\/6, q, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - t + 126 = 3*j, -2*j + 2*t = -84. Let i = 382 + 239. Suppose 327 - i = -14*o. Calculate the greatest common divisor of j and o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -20 - (12 + -5 + -19).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 163192?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -b**2*q + 15063*b**2*z + 2*b*q*z + 2*q + z - 636 wrt z?\nAnswer: 15063*b**2 + 2*b*q + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4\/298623893 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from ccceectec?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -6\/139 - -574\/417. Let m = 16 + -11. Let j = m - 10. What is the nearest to 0.3 in j, 2\/11, w?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-1302)\/63 - -20) + (-24)\/(-9) + -2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -3028, -23884, -80496, -190744, -372508, -643668, -1022104?\n\"Answer: -2980*w**3 + 2*w**2 - 2*w - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 628*w**2 - 2018*w. Let a(u) = 623*u**2 - 2021*u. Let r(f) = 7*a(f) - 6*z(f). What is the second derivative of r(b) wrt b?\nAnswer: 1186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2695733 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 579642 is divided by 96593?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/j**(-1\/4)*j)**(-4)*(j\/(j*j\/(j*j**(-2\/73))))\/j**(-21\/5) assuming j is positive.\nAnswer: j**(-1762\/365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 10712*q**3 - 40*q**2 + 118*q.\nAnswer: 64272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 4, j: 5, o: 8}. Give prob of picking 1 j and 2 n.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 3, s: 2, k: 3, x: 1, l: 3, b: 1}. What is prob of picking 2 s, 1 k, and 1 y?\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 17*t - 5*t - 48. Suppose t*w + 7*w - w = 0. Is 49 greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + -4 - (15 + -19)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 32.505 + 0.815. Let h = 0.32 - w. Let u = h + 36. Put u, -0.1, -0.3 in descending order.\nAnswer: u, -0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -125\/132 and 87\/110.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) be the third derivative of -y**4\/24 - 2*y**3\/3 + y**2. Let i be 2\/12 + 245\/(-30). Let k = i - -8. What is s(k)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1522 (base 6) to base 11\nAnswer: -343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 114993406 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*n + 6*n - n)*(13*n**2 - 5 + 5) + 4*n**3 + 0*n**3 - 3*n**3 + (-1 - 3 + 0)*(-2*n**3 - 2*n**3 - n**3) to l + t*n**3 + u*n + b*n**2 and give t.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -392, -406, -426, -452?\nAnswer: -484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4288450 by 21550.\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 159 is divided by 116\/6 - (-16)\/24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -133 + 138. Let r = 454 + -449. What is the closest to n in -2\/7, 2\/3, 0, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.8 in 0.2, -63, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y - 10 = -2*g, 5*g + 4*y = -34 - 11. Which is the nearest to 0.2?  (a) g  (b) -0.1  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-96)\/612*(-12)\/16?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - 2*q + 17 = 0, 16 = 2*j + 2*q - 14. Let n = 15 - j. Put -5, n, 5 in descending order.\nAnswer: 5, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 91, -1, 1 in ascending order.\nAnswer: -1, 1, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-50)\/(-6) + 1 + (-2)\/(-3). Suppose -s + 16 = f. Find the third derivative of t**6 + t**6 + 0*t**s - 4*t**2 + 4*t**6 wrt t.\nAnswer: 720*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 4, 7, 1.\nAnswer: 1, 2, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (47\/(10575\/36))\/((-2)\/5)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6*(-667)\/1932*-28.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/9?  (a) 2\/191  (b) 0  (c) -4  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 13097.35791 rounded to the nearest 100?\nAnswer: 13100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*r + 14 = 2*u, -2*u - 2 = -4*u - 2*r for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 7 - -7. Suppose -3*w = d - 15, 2*d - o = -2*w + 4*w. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 366 times -0.1?\nAnswer: -36.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2021562 is divided by 338.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h = -0*h + 5*b + 20, 5 = h - 2*b. Let t = 14 - 12. Suppose t*q - 3 = -u + 8, 3*q + h*u - 27 = 0. Solve 4*n - 2*n = -2*w - 10, 4*n = 4*w + q for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3*10*17\/510\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 8bb7 + 143?\nAnswer: 8cfa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 4 - ad?\nAnswer: -a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2410862 and 13734?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -3*q**3 - 5*q**2 + 3*q + 20. Suppose 0 = -7*l - 6 - 22. What is the tens digit of t(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 17832886*t**2*y - 19710*t*y + 3*t - 3*y - 1 wrt t.\nAnswer: 35665772*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20957 - 10787 - 10170 + 20*c**2.\nAnswer: 20*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*g + 1 = 2*f, 19*f - g - 2 = 22*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 24187 and 728137?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -372266679*h**3 + 56351447 with respect to h.\nAnswer: -1116800037*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -3819 times -43\nAnswer: 164217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(-7\/5)*w\/(w**(2\/17)*w*w*w)*(w**(2\/9)*w)\/w**1 assuming w is positive.\nAnswer: w**(-2521\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 11342.20941us in weeks?\nAnswer: 0.000000018753653125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*j**3 - 1155*j**2 + 28476*j + 132192.\nAnswer: -3*(j - 27)*(j + 4)*(j + 408)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o*o**(-4)*o)\/o*o**31*o**(6\/13)*o*o**9 assuming o is positive.\nAnswer: o**(513\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 5*d = 24, -2*q - 2*q = 5*d - 36. Suppose -75 - 30 = -4*c + 5*t, 2*t + 90 = q*c. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3.28 + 1.06. Let z = 1.927 + d. Let q = 0.3 + z. Round q to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 17017 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 14*k + 558. Let p(f) = 47*f. What is p(c(x))?\nAnswer: 658*x + 26226","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 5340 = 5*h, -3*h - 3*y + 3211 = -y. Calculate the highest common factor of h and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.6+-8.4884\nAnswer: -9.0884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 51*c + 234. Let p(u) = -103*u - 469. Let d(b) = 13*l(b) + 6*p(b). Let y be d(-5). Solve -3*w = j + y - 13, 2*w = 3*j + 14 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = -0*k + 4. Suppose -35 - k = -3*h. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 69849852 minus -0.03085?\nAnswer: 69849852.03085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1842, -7269, -16266, -28827, -44946, -64617?\nAnswer: -87834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -1.1*-7725121\nAnswer: 8497633.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -54 in 0.023, 5, 3, -2, -3\/5, 1\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-3\/4)*(y**(3\/4)\/y)\/y)\/(y*y*y*(y*y**1\/y)\/y*y)**(-7\/2)*(y**(-6)*y**(-4))\/(y**1)**46 assuming y is positive.\nAnswer: y**(-44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 239351694.\nAnswer: 2, 3, 39891949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (19*5\/(-665))\/(2\/7).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2*f**2 + f**2 - f**2)*(-3 + 2 + 3) + f**2 + 1 - 1)*(5*f - 5*f - 18*f).\nAnswer: 54*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1000111110001001 (base 2) to base 13.\nAnswer: 13957","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10103 (base 4) to base 2.\nAnswer: 100010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -46616, -46681, -46746, -46811, -46876?\nAnswer: -46941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = a**2 + 2*a + 2. Let o(x) = -7*x + 9 - x**2 - 16 + 0*x**2 - 3*x**2. Give 7*k(l) + 2*o(l).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2262\/(-27) - -3 - 215\/645*(-2)\/(-3).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 3*f - 1008 = 0. Let m be 17745\/28 - 1\/(-4). Suppose -m = -37*j + 698. Calculate the highest common divisor of j and f.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-1 + -1 + 3)*3. Suppose -7 - 12 = -f + 4*a, n = -a. What is the remainder when f is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -19 - -68. Suppose 0 = -4*o + 31 + d. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1224802 is divided by 98?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*n**4 - 366 + 102936*n**2 - 112 - 102935*n**2 - 3*n**4 as d*n + j*n**3 + x*n**4 + b + y*n**2 and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 32*28\/(-56) - -21.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 341 minutes after 3:57 PM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -73, -98, -151, -244, -389, -598?\nAnswer: -883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 10*q**4 - 54*q**3 - 6*q**2 + 134*q + 76. Let h(z) = -27*z - 2*z**3 - 2*z**4 + 1 - 9 + 13*z**3 + z**2 - 7. Let o(m) = -14*h(m) - 3*x(m). Factor o(v).\nAnswer: -2*(v - 3)**2*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 215928 is divided by 29.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 5, r: 5}. What is prob of picking 1 r and 2 e?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -59*o**3 - 130?\nAnswer: -177*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -50 + -33?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 5*j = 10, 0*a + 22 = -3*a - 4*j. Find the common denominator of 101\/18 and (-76)\/32 - (3 + a).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 151243.9, 2\/3, 4\/3, 0.06 in increasing order.\nAnswer: 0.06, 2\/3, 4\/3, 151243.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + -2*sqrt(1700)*2 - (-2 + (sqrt(1700)*-1)**2 - (sqrt(1700)*-2 + 2))) + -5.\nAnswer: -1706 - 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rfgfafoyagfo. Give prob of sequence fa.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -8906, -8911, -8914, -8915?\n\"Answer: n**2 - 8*n - 8899","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*k\/(k\/((k\/k**(3\/4))\/k)))**(3\/7)\/(k**(-12))**(5\/2) assuming k is positive.\nAnswer: k**(843\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:12 PM and 2:28 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -140*g = 2*u - 144*g - 3124, 0 = 4*u - 2*g - 6218. What are the prime factors of u?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve 3*o + 50 = 5*q, 718*o = -2*q + 713*o - 11 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (16\/12)\/((-7)\/((-7245)\/6)). Factor 35*i**4 - 23*i**5 - 26*i**5 + 325*i - 27*i**5 - d*i**2 + 81*i**5 - 125 - 10*i**3.\nAnswer: 5*(i - 1)**3*(i + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*l**4 + 2*l**3 - 6 + 6)*(2 + 3 - 2) in the form a*l + i*l**2 + r*l**3 + g*l**4 + h and give g.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.41006 - 0.01?\nAnswer: -5.42006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (2\/24)\/((-1)\/(-3)). Sort b, -0.5, 5.\nAnswer: -0.5, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -332 + -330023?\nAnswer: -331021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:32 PM and 6:50 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 704047856.\nAnswer: 2, 113, 163, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -5*q**2 - 2*q - 4. Let t be (1 + (-55)\/25)*(-30)\/(-9). Let v(p) = p**2 + 1. Let w(y) = t*v(y) - i(y). Give w(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*s**3 + s**3 - 2*s**2 + 11*s**3 + 2*s**2 - 28*s**3.\nAnswer: -10*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 55 a factor of 2758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + 6 - (15 + (-1 - 14))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -u**3 - 7*u**2 - 6. Let f be l(-7). Suppose -2*g + s - 38 = -5*g, 16 = 2*g - 4*s. Let n(m) = -11*m - m**3 + 4 + g*m + 0*m - 6*m**2. Determine n(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 159 - 257 = 34*q + 514 for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-31)\/31)\/(((-52)\/(-20))\/13).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 696851 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 85 a factor of 40205?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.9798214 nanometers to centimeters.\nAnswer: 0.00000009798214","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = a**3 + 18*a**2 + 19*a - 25. Give x(-17).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -2*g. Let m be s(-3). Let w = -8 + m. Let j(n) be the third derivative of -n**4\/8 - n**3\/3 + 2*n**2. Give j(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*j + 6, 0*o - 2*j + 32 = 3*o. Suppose 3*s - o = -3. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-4509)\/3006)\/(0 + -3)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) be the first derivative of -248*c**2 - 285*c + 193. Is t(-17) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) be the first derivative of -d**5\/10 + d**4\/6 + 2*d**3 + 82*d - 27. Let a(t) be the first derivative of k(t). Find c, given that a(c) = 0.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2863?\nAnswer: 7, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 149*g**2 - 76*g**2 - 76*g**2.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) be the second derivative of -1\/60*g**6 + 0*g**2 - 44*g + g**3 + 1 + 1\/5*g**5 - 19\/24*g**4. Factor k(c).\nAnswer: -c*(c - 4)*(c - 3)*(c - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 101\/834858 and -19\/552?\nAnswer: 76806936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vvvvvvvvvvvvvhvvvvv. Give prob of sequence vhvv.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) be the second derivative of x**3 + 503*x - 1. Let n(q) = -2*q - 69. Calculate n(g(y)).\nAnswer: -12*y - 69","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 679991080.\nAnswer: 2, 5, 16999777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 609 - 900. Let y = 202 + l. Let g = 68 + y. Which is bigger: g or -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -t**3 - 272*t**2 + 287*t + 6176. Calculate i(-273).\nAnswer: 2354","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -13332 - -33?\nAnswer: -13233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 46 + -46.0000137. What is w rounded to 6 dps?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -11 + 5 + 5 + 2*l**2. Let b(o) = o**3 + 3*o**2. Let u = 8 + -6. Let c(t) = u*b(t) - 3*y(t). What is the first derivative of c(z) wrt z?\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 0 = 12. Let l(r) = -r**3 - 3*r**2 + r - 5. Calculate l(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 22302415?\nAnswer: 5, 4460483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1187222?\nAnswer: 2, 277, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1410663\/1202 or -1174?\nAnswer: -1410663\/1202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 31898 - 7057. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 16*y - 35. What is f(5)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 96?  (a) -2\/17  (b) -1\/5  (c) 16  (d) 2  (e) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 315 + -316. What is the second biggest value in -67, 5\/3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 1 m when two letters picked without replacement from {n: 11, m: 2, e: 1, i: 2}?\nAnswer: 11\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 192 and 241176128.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z + x = 22, -x + 2*x - 42 = -4*z. Calculate the highest common factor of z and 130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-3 - -1)\/(11\/((-55)\/(-10)) + 1)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 90 = -2*m, -m + 4*r - 62 = -5. Sort 1, m, -3 in decreasing order.\nAnswer: 1, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -190690 + 1717936\/9. Let g = k - 192. Suppose 0 = -4*w - 2*n + 20, -w + 16 = 3*w + n. What is the smallest value in -4\/3, g, w?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 22385 + -12549. What are the prime factors of g?\nAnswer: 2, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/59 or 37?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -15*d**3 - 6*d**2 - 10*d - 7. Let y(n) = 16*n**3 + 7*n**2 + 11*n + 8. Calculate 6*x(k) + 5*y(k).\nAnswer: -10*k**3 - k**2 - 5*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 17.2 - 17. Let o(i) = -i**3 - 15*i**2 + i + 17. Let w be o(-15). Let n be 6\/w - (-23)\/(-7). What is the nearest to n in 0.1, h, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -28*k**2 - 3*k**2 + k**2.\nAnswer: -30*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 3 w when four letters picked without replacement from {g: 2, w: 3}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 4*v**3 - 16*v**2 + v + 3. Let j(y) = -7*y**3 + 31*y**2 - 2*y - 5. Let r(p) = -5*h(p) - 3*j(p). Calculate the remainder when 63 is divided by r(13).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1272300 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 470 minutes before 6:34 AM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 3 k when four letters picked without replacement from hhikhkkkikiii.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -34903396 divided by 10\nAnswer: -17451698\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-359 + 56*f + 359 - 3*f**2)*(-7*f**3 - 4*f**3 - 2*f**3) + (-f**4 - 1 + 1)*(5 - 5 + 4*f) + 0*f**5 + 3*f**5 - f**5.\nAnswer: 37*f**5 - 728*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 52597 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 67 + -64. Suppose -17*h - v = 14. Let p(s) = 11*s - 1. Give p(h).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 1\/64 of a kilogram?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 0*h + 94 = 0. Suppose 37 = -16*w - 443. Let c = w + h. List the prime factors of c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 11288676 and 1227030?\nAnswer: 56443380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 615 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 201, -4, -142, 3 in decreasing order.\nAnswer: 201, 3, -4, -142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 216, 433, 650, 867, 1084?\nAnswer: 1301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -3  (b) 3  (c) 0.07  (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 1121*n. Let k(l) = l**3 - 62*l**2 + 2*l - 67. Let r be k(62). Let h(m) = 40*m. Give r*h(q) - 2*x(q).\nAnswer: 38*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 192 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-32*g + 52*g + 44*g)*(-6*g - 4*g + 0*g)*(-g**3 + 0*g**3 + 4*g**3).\nAnswer: -1920*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bjl when three letters picked without replacement from {l: 1, a: 7, f: 4, g: 1, b: 2, j: 2}.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -5 - -14. Let p(d) = 8*d**2 + d - d**3 - 6 + d**2 + d. What is the units digit of p(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 - 174 = -9*v. Solve -5*b = -2*t + v, -4*t - 24 = -0*b + 4*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 17, 3, 16 in increasing order.\nAnswer: 3, 16, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 9 + -1. Calculate the lowest common multiple of s and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0147192mm in kilometers?\nAnswer: 0.0000000147192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 188*o**2 + 120*o - 56. Give u(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1050\/17 in -0.3, 5\/6, 554, -4\/5?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i = -0*i + 6. Solve s - 5 = -i for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3193, 3156, 3109, 3052, 2985, 2908?\nAnswer: 2821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = g**3 + 4*g**2 - 14*g - 9. Give b(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express 19*o**2 + 14 + 1 - 17*o**2 + (2*o - 2*o + o)*(o + 5*o - 2*o) + 95*o**2 + 4125 - 4125 as r*o**2 + l + s*o and give l.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 6207254 divided by -62\nAnswer: -100117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.21497471 to two dps.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*u - 2*u + 6*u + u - 4*u + 5*u + (-1 - 2 + 2)*(u + 3*u - 3*u))*(18 + 6*u - 18) to x*u + r*u**2 + l and give r.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 376 + -375. Let p be 2\/(-4) - (-177)\/66. Which is greater: v or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1945086?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 - (18 + (-14 - -4) + -15).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -71 - -114. Let o = 178 - d. What are the prime factors of o?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 84796848 divided by -8208?\nAnswer: -10331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*g**3\/13 + 10257010*g**2\/13 + 13150756124950*g\/13 - 65754037050250\/13.\nAnswer: 2*(g - 5)*(g + 2564255)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2)\/(10 - 2)*2. Let y = -249 + 292. What is the closest to -2\/9 in 2\/7, y, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 3702*s**2. Let g(i) = i. Determine w(g(p)).\nAnswer: 3702*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 33*r**3 + 4*r**2 + 1072008*r - 1072008*r.\nAnswer: 33*r**3 + 4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = p**2 + 19*p - 31. Let t be i(-21). What is the derivative of 3 + 4*b**3 - 2*b**3 - t - 30*b**3 wrt b?\nAnswer: -84*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-33)\/q**(-33\/2)*q\/q**(-2)*q\/(q**(3\/5)\/q))**43 assuming q is positive.\nAnswer: q**(-5203\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1\/2, 0.061, 51?\nAnswer: 0.061","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -82.0242465 rounded to one dp?\nAnswer: -82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/98*-1*16\/48?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand l**3 - 2*l**3 + 2*l**3 + (-2 + 0 + 0)*(6*l**3 - 3*l**3 - l**3) + 2*l**2 + l**3 - 2*l**2 + (5*l - 3*l + l)*(-l**2 + l**2 - l**2) + l**3 + l**3 + 0*l**3.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*h + 4*h**2 - 2*h**2 - 5*h**2 + (h - h + 2*h**2)*(1 + 1 + 1).\nAnswer: 3*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -2  (b) -3  (c) -1\/6  (d) -0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 97, 201, 313, 433, 561, 697?\nAnswer: 841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -217*d = -220*d + 420. Let u = -137 + d. Solve -15 = u*b - 3 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 5  (b) 12  (c) 2  (d) -0.0248  (e) -1  (f) -0.17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -927*m**2 + 717*m + 210.\nAnswer: -3*(m - 1)*(309*m + 70)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 3\/(450\/(-32)) - (-394)\/4925. Let q = -1.5 + 29.5. Let t = -25 + q. Which is the third biggest value?  (a) -1  (b) 0.1  (c) g  (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*t**2 + 2*t**2 - 4*t**2)*(4 - 6 + 3) - t**2 + 76*t + 0*t + 25*t.\nAnswer: -3*t**2 + 101*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Determine n, given that -3*n**4\/7 + 60*n**3\/7 - 375*n**2\/7 + 570*n\/7 + 144 = 0.\nAnswer: -1, 6, 7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Add -21885282 and 0.3281138.\nAnswer: -21885281.6718862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11835307 is divided by 32074?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 232565 <= 232564?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 70 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sssg when four letters picked without replacement from {f: 3, g: 4, s: 6}.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = x**2 - 3*x - 3. Let r(s) = 31*s - 2. What is the remainder when r(1) is divided by h(6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2439678.\nAnswer: 2, 3, 79, 5147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -120 + 72. Let o be 0\/(-1 - 1)*(-24)\/f. Suppose o = 5*y + q - 321, 2*q - 7*q + 133 = 2*y. Does 8 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = r**3 + 9*r**2 + 6*r - 13. Let g be l(-8). Let p(m) be the first derivative of m**2\/2 - 3*m - 1. Let w be p(g). Put -4, w, 1\/11 in ascending order.\nAnswer: -4, w, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 2, d: 10, c: 4, v: 4}. Give prob of picking 2 v and 1 c.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) be the third derivative of p**5\/20 - p**4\/8 + 13*p**2. Find the second derivative of x(i) wrt i.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 100, -3, 1570?\nAnswer: 100","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -6661 (base 7) to base 13\nAnswer: -1123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5741, 5755, 5767, 5777?\nAnswer: 5785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 42\/(-4)*(-150)\/1750 + 2\/(-2). What is the fourth biggest value in i, 3, -2, 4, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 v and 2 k when four letters picked without replacement from njkvjknfjnnnnnvjk?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -661, -2524, -5601, -9898, -15421, -22176, -30169?\n\"Answer: -d**3 - 601*d**2 - 53*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -13, 1\/12, 1\/91, -0.1?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -870 - -5?\nAnswer: -867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-3 + -2)*(0 + -2). Suppose -5*p = -120*a + 122*a, 0 = 3*a + 5*p - 10. Calculate the highest common divisor of a and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1278?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -2*m**3 + 6*m**2 + 6*m - 26. Let j be h(2). Sort 0, 2, 4, 1, j.\nAnswer: j, 0, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -572 + 594. Let l(s) = 0 + 14*s**2 - 20 + a. Let p(o) = 0*o + 3*o - o. Determine p(l(t)).\nAnswer: 28*t**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - 1) + (24 - 18) - (29 + -3).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -60, -64, -70, -78, -88?\n\"Answer: -z**2 - z - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 79144?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.2 - -0.8. Let l = 1.1 + -1.6. Which is the nearest to z?  (a) 0.2  (b) -2\/17  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 453 and 7860607?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Let d = -29.2 + 29. Let f = 7.8 - d. Let h = f + -8.4. Which is the nearest to 0?  (a) -3  (b) -4  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = h**2 - 5*h - 6. Let b be j(7). Suppose b*u - 30 - 2 = 0. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -8499 (base 11) to base 9\nAnswer: -16368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*a + 1988 = -12. Is a a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6948958.\nAnswer: 2, 3474479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*s + 2*f - 155 + 48, s = 2*f + 31. Suppose 0 = 7*t - 6*t - s. Does 12 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 411960 by -34330.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -19304 - -19299. Which is the second biggest value?  (a) 233\/7  (b) -0.3  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*z + z - 2*z + 3 in the form c*z + w and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + (6 - -3) + (-17 - -14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**0*c*c*c)\/c*c)**(15\/8)\/((c\/(c**(-6)\/c))\/c*c*c\/c**0) assuming c is positive.\nAnswer: c**(-27\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -34, -83, -216, -475, -902, -1539?\n\"Answer: -7*n**3 - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 312 = -s - 2*s. Does 26 divide (-1)\/(((-14)\/s)\/(-7))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 322536?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 3*i**3 - 4*i**2 + 6. Let h be ((-4)\/6)\/(6\/(-63)). Is q(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 18278 and 86866?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 2  (b) 0.04  (c) 2\/41  (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 708 minutes before 9:20 AM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (126\/(-945))\/((-46)\/(-2760))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3)\/(-10))\/(-1*126\/(-70)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - 9 - 7 = 0. Suppose -x*z = -119 + 31. Solve 0 = 5*f + z - 2 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -100755, -3, 3\/5, -143, 1 in ascending order.\nAnswer: -100755, -143, -3, 3\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1242442*b**5 + 1608*b**2 + 16*b.\nAnswer: 74546520*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -26*m**2 + 4*m - 38. Let t(b) = -27*b**2 + 3*b - 32. Calculate 4*q(n) - 5*t(n).\nAnswer: 31*n**2 + n + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-6)\/10 - (-4215)\/25. Suppose -11*i + 14*i + 2*c = 162, -3*c + 103 = 2*i. Calculate the greatest common factor of i and u.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -83, -327, -733, -1301, -2031, -2923, -3977?\n\"Answer: -81*t**2 - t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 45 divide 405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -64*d = 59*d + 69*d - 38208. What are the prime factors of d?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wwcur. Give prob of picking 1 r and 2 w.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5 - 5. Let m = -35 - -35. Is m > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 8*c**6 + 6*c**4 - 2*c**3 - 10*c**2 + 4*c. Let p(g) = -g**6 - g**4 + g**3 - g. Let h(j) = i(j) + 6*p(j). Find the third derivative of h(s) wrt s.\nAnswer: 240*s**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k = -4*k + 2. Let c(f) = 22*f - 3. Let t(n) = -22*n + 3. Let m(h) = -2*c(h) - 3*t(h). Is m(k) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 61854.05mm in centimeters?\nAnswer: 6185.405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1 - -6. Let n(f) = f**2 - 3*f. Let v be n(y). Suppose -p + 5 = -v. What is the remainder when 44 is divided by p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) be the first derivative of r**5 - r**3 - r**2\/2 - 11*r - 9. Find the second derivative of h(m) wrt m.\nAnswer: 60*m**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2303238)\/(-192150) - (-2)\/150\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is y in -4*y**5 + 4672*y**4 - 316780*y**3 + 5774944*y**2 - 38952880*y + 82494400 = 0?\nAnswer: 4, 10, 47, 1097","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -25.4 - 28.8. Let k = j + 54. What is the smallest value in k, -3, -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from iiziiiiiiiiiziiip. Give prob of sequence iii.\nAnswer: 91\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 502802 divided by 1271?\nAnswer: 502802\/1271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 4*d. Let j(x) be the first derivative of -3*x**3\/2 + 24*x - 30. Let a(h) be the first derivative of j(h). Determine u(a(g)).\nAnswer: -36*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 3 = -o. Suppose 5 - 8 = -n + o*z, 5*n + 4*z = 15. Suppose 4*h - 49 = n*h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve k + 33*l - 722 = 14*l, 6*k + 8*k + 3*l = 13*k + 114 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = 494739*q - 2968445. Give f(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*z - 4*b - 16, -8*b = -2*z - 13*b + 29. Solve 16 = -4*t - 4*w, -z*w + 12*w + 5 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(-1 + (sqrt(1216) + -1)*4 + (sqrt(1216)*-1 - sqrt(1216)) + 0)**2.\nAnswer: -14667 + 480*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 29 + 3278\/(-110) - 184\/(-5). Solve 3*z + 3*z - x = 0 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) be the first derivative of -7*p**3\/3 + 5*p**2\/2 + 6*p + 5. Let d(q) = -6*q**2 + 6*q + 6. Let l(m) = -5*b(m) + 6*d(m). Is 16 a factor of l(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 177 a factor of 87473046?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (18\/12)\/((-4041)\/252 - -16).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(85)\/(-5*sqrt(20)))**2.\nAnswer: 17\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-30)\/40)\/(6\/(-25304)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 11*c**2 - 2*c. Let u(y) = -13*y. Let d(v) = -28*v. Let o(m) = -6*d(m) + 13*u(m). What is i(k) - 2*o(k)?\nAnswer: 11*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.6 - 1.76?\nAnswer: -5.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*z = 2*z - 39912. List the prime factors of z.\nAnswer: 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -405 >= -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = c**2 - 12*c + 3. Let b be i(12). Let u(d) = d - 2. Let f be u(b). Let l(n) = f - 4 - 5*n + n - 2*n**2 + 3*n**2. Give l(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 v and 1 j when four letters picked without replacement from jgtvqvtqvq.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 38?  (a) 0.1  (b) -0.3  (c) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -6 + (-9 - -9 - (-3 + (-9 - (-23 - -10))))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 66*n**2 - 3*n - 58. Let t(s) = -22*s**2 + s + 19. Let r(x) = -17*t(x) - 6*u(x). What is the derivative of r(p) wrt p?\nAnswer: -44*p + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1 = -13*n + 12*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (217\/(-28) + 7)*4. What is the closest to 2\/7 in 0.5, q, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 47\/92 + -6\/23. What is the third smallest value in -2\/3, t, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -10319, -3, 1 in decreasing order.\nAnswer: 1, -3, -10319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -234.0373 - -234. Let q = w + -0.0627. Sort q, 0.6, 1, -5.\nAnswer: -5, q, 0.6, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14913.\nAnswer: 3, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + t - 125 = 5*t, 168 = 4*m - 4*t. Let u(y) = -y**2 + 6*y + 18. What is the remainder when m is divided by u(7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 30242 is divided by 7386?\nAnswer: 698","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1 - (-6)\/(2 - -1). Suppose i*k = j + 3*j - 1, -2*k - 34 = 4*j. Let y(d) = -d**2 - 7*d - 2. Let w be y(k). Round w to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/63 of a week in minutes?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -15*x + 514. Let b be y(34). Solve -7*p - 11 = b*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence geg when three letters picked without replacement from gggggegggegggge?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8 = -2*w, -2*i - 3*i - 2*w - 6 = -3*i for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = x. Let z(d) = 244*d - 1. Determine 4*y(j) - z(j).\nAnswer: -240*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1342369 is divided by 212?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 172 minutes after 3:16 AM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -56 times -0.08?\nAnswer: 4.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 105073 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 47459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*x*(x\/(x*x**(2\/5)))\/x*x)\/(((x\/(x*x*x**16*x*x))\/x)\/x))**(2\/73) assuming x is positive.\nAnswer: x**(226\/365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b = b - 6. Let z be 2 + 0 + (b - 5). Let g(r) = r**3 + 4*r**2 - 4*r + 4. Let n be g(z). What is the second smallest value in n, 0.2, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 64.695 - 61.69508. Let r = s + -3. Let p = r - 0. What is p rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -15 - -10. Let q be ((-2)\/(-5))\/((-2)\/10). Let r be (-4)\/4*(0 + 0). Put q, v, r in increasing order.\nAnswer: v, q, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 15 - 74\/5. Let z = -3.46 + 3.46. What is the closest to z in -0.17, d, -3?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.1695495 kilograms to milligrams.\nAnswer: 169549.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*u = 11*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hhv when three letters picked without replacement from {v: 6, h: 2, e: 2, z: 3, i: 1}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 74119505 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -1034 - 1034 + 48*f**2 + 2068 + 520*f**2. Let n(r) = -r. Determine q(n(z)).\nAnswer: 568*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 142970 is divided by 35739.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10497*k - 20 + 15262*k + 2091*k - 6*k.\nAnswer: 27844*k - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -f**3 + f**2 + 4. Let v be q(0). Let o(l) = l**2 - 8. Let r(n) = -2*n**2 + 17. Let a(g) = v*r(g) + 9*o(g). Differentiate a(y) wrt y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 44 (base 10) in base 4?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*w + 12 = -h, 4*w - w - 3*h = 9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.121065 rounded to two dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 - (11 + -2 + -27 + 22)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -3.4*1407142\nAnswer: -4784282.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 8 = -k - 2*z, 4*k - 32 = 5*z. Let u(g) = -3*g**3 - g. Let x be u(-1). Calculate the least common multiple of k and 2*2\/x*6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*o + 21 = 278 + 5 + 42 for o.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13\/1625*-5*-2.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-19 - -10) + -3 - 4 - 0.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 117968?\nAnswer: 2, 73, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u = 3*q - 9, -u = q - 6*u - 3. Solve -2*g = 3*w - 8*w - 10, 0 = 4*w + q*g - 15 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 645.2 - 5.2. Let h = a - 644. Which is smaller: -3 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 0 - 3\/(9\/(-30)). Let x be 77\/35 + (-2)\/q. Suppose 4*u - 70 = 2*v, -4*u + 85 = -v + 2*v. Solve -7*b = -x*b - u for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 7154 and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -17*m + 1209. What is the remainder when 467 is divided by z(62)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 2, k: 1, s: 14}. Give prob of sequence xss.\nAnswer: 91\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 531 and 6519087.\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in 4453, 1322, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 3\/(-2)*160\/48\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = g**3 + 28*g**2 + 35*g - 17. List the prime factors of f(-25).\nAnswer: 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 651 and 16149.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = h**3 + 9*h**2 - 13*h - 25. What is q(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12223 = -3*r - 10*r + 12288 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -k**3 - 3*k**2 + 5*k + 6. Let d be w(-4). Find g, given that 0 + 12\/5*g**3 - 4\/5*g**d + 0*g - 9\/5*g**4 = 0.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 678 minutes before 9:28 AM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -6323 - 1857. Let t = -5459 - a. Suppose 2*x - 1867 = -3*z, -3*z + x = -t + 851. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 47 - 42 - (1 - -11).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -377*a**4 + 392121*a**2 - 147988165 with respect to a.\nAnswer: -1508*a**3 + 784242*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0028674 rounded to five decimal places?\nAnswer: 0.00287","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z = -4*v - 55570, -4*z + 5*v - 52740 = 58426. Let c = 500075\/18 + z. Calculate the common denominator of c and 114\/8*2\/12.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -1362*g**3 - g**2 - 180006*g + 858073034 wrt g?\nAnswer: -4086*g**2 - 2*g - 180006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -41.81 or -2?\nAnswer: -41.81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-g - 4*g + 3*g)*(-3591*g + 1730*g + 2535*g)*(1 + 0 - 2).\nAnswer: 1348*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 69a (base 13) in base 14?\nAnswer: 5b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -27 + 46. Let d = o - 17. Let w = 21 - 21. Solve -d*l + w*l = 8 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -4 - -278c7d8?\nAnswer: 278c7d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 30292 to the power of 1\/2, to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -36*d + 461. Calculate p(13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 783748\/263 - 2980. Is 1 < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -714419028*g**2 + 714419028*g**2 - g**3.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -19  (b) 815.8  (c) -3\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = 7*i - 1. Let v(s) = -s - 1. Let l(g) = 2*b(g) - 2*v(g). Let k(o) = o. What is l(k(j))?\nAnswer: 16*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 21629393 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 34, 123, 258, 433, 642?\nAnswer: 879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ooozozzoooooozoooooo. What is prob of sequence oozz?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = p**3 - 35*p**2 + 28*p + 73. Give g(34).\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 266\/49 - 6\/14. Find the second derivative of -2*r**c - 3*r**5 + 4*r + 7*r wrt r.\nAnswer: -100*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*n + 5*s - 194106 = -8*n, -4*n + 43146 = 3*s. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.0111 + 201.0111. Let u = s - 170. What is the third biggest value in -1\/2, -4, u, 1\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x**2\/17 + 22104*x - 1038246984 = 0. Calculate x.\nAnswer: 93942","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -8*v. Let z(m) = m + 12. Let w(r) = -9*r - 99. Let x(a) = -4*w(a) - 33*z(a). Calculate x(s(k)).\nAnswer: -24*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 1433461 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -44 - -32. Let j = o + 11.7. Which is the nearest to j?  (a) -1  (b) 1\/3  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -264*g*m**2 + 2*g*m - 11*g + 7*m wrt m?\nAnswer: -528*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*x - 2*x = 2*n - 74, x + 70*n + 167 = 75*n for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 37754?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a\/(a\/(a*a\/a**1)))\/a)**(3\/26)\/(a**(-1\/7))**17 assuming a is positive.\nAnswer: a**(17\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-36)\/(-378) - (-61)\/21. Suppose 4*h + s*m = 168, 2*m = -0*h - 2*h + 86. Is 13 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**(27\/4)*(x\/x**(-2\/85))\/x*(x\/x**(1\/17))**(-18) assuming x is positive.\nAnswer: x**(-3457\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-21)\/28 + (-11)\/(-4). Suppose 14 = 3*x + i. Suppose 4*j - 101 = q - 0*q, -2*q + 86 = x*j. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-9 + (1 - -2))\/(5\/545*8). Is -82 >= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/3?  (a) 0.1  (b) -0.11  (c) -2968  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3201*f + 100601 = -268*f for f.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m + m = 18. Suppose -m*g + 28 = g. Suppose l + 5*c = 24, 7*c - 48 = -3*l + 4*c. Calculate the highest common factor of g and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 5, a: 3}. Give prob of picking 2 i.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 23052920 and 120?\nAnswer: 69158760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u - 4*s - 4 = -15, 4*u - 12 = -4*s. Suppose -3*c + 20 + u = 0. List the prime factors of c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -x + 8. Let l = 8 + -6. Suppose 3*d - 2*o + 8 = 0, l*o - 7*o = -3*d + 7. Is q(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 85*i + 18 - 45*i - 6*i**2 - 38*i - i**3. Let j be x(-12). Suppose 9*l = 15*l - j. Does 20 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -5*9\/270 - (-37)\/6. Solve -5*o = -3*p + l, 1 = 3*p - 2*o + 4 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1075 (base 11) in base 12?\nAnswer: -999","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 116 divide 14983899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 39, 40, 41, 42?\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 65454555?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 539 - 539 - 363*m**2 + (-2*m - 3*m + 3*m)*(0*m + 2*m - m) to the form d*m + b + n*m**2 and give n.\nAnswer: -365","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bk when two letters picked without replacement from bbks?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -27094818 and -28.\nAnswer: 758654904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4*(-8)\/(-48)*(20 - 1 - 1).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 78 - 3. Let n = c - 56. Does 7 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (905\/(-3620))\/(5\/(-1600)).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 31*l + 152. What is the units digit of d(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1\/(-5) - (4 + -4). Put 1\/5, x, 2 in decreasing order.\nAnswer: 2, 1\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 152, 159, 180, 221, 288, 387?\n\"Answer: z**3 + z**2 - 3*z + 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -4a15 (base 11) in base 6?\nAnswer: -50154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 403 is divided by 68.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -29 + 48. Let f = 18.6 - v. Which is the biggest value?  (a) -4  (b) 2  (c) f  (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2608 - 502 = -9*p. Let x = -210 - p. Solve 4*b + 5*f = 29, -6*f = -b - f - x for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 8832?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 5832 and 569664.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 127095 and 975.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 761, 3040, 6837, 12152, 18985?\n\"Answer: 759*d**2 + 2*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 94, 178, 246, 292, 310, 294, 238?\n\"Answer: -i**3 - 2*i**2 + 97*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 25174 or 25175?\nAnswer: 25174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -521772 (base 8) to base 10\nAnswer: -173050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-k + 0 + 0)*(-1 - k + 1) + (3*k - 5*k + 0*k)*(-2*k + 0 + 0) - k**2 - 6*k + 6*k to the form n*k**2 + d*k + x and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*d**2 - 2 + 4 + 3*d**2)*(-d + d + d**2).\nAnswer: -d**4 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*q**3 - q**3 - 3*q**3)*(1 + 5 - 1)*(-11*q + q + 4*q).\nAnswer: 30*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - -6) + 49 + -2*8 + (64 - 43)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 9.278434l?\nAnswer: 9278.434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.5 - -0.43. Let d = v + 8.07. Which is bigger: -0.1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2\/359 + -353\/1077. Let u = 1 - -3. Let r(z) = -2*z**3 + 3*z**2. Let y be r(2). Which is the closest to x?  (a) y  (b) 2\/9  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-180)\/3*(154\/(-110))\/((-4)\/(-8)). Let m(l) = -15*l**3 + l**2 - l. Let i be m(-2). What is the greatest common divisor of i and j?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 103\/10 and 63\/968.\nAnswer: 4840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*l**(-4\/3))\/(l*l\/(l**(2\/11)*l)*l)*l**3\/((l**0*l)\/l*l)*(l**(-2\/7)*l*(l*l**(-4))\/l)\/((l*(l*(l*l**(-5))\/l)\/l)\/((l**0*l)\/l)) assuming l is positive.\nAnswer: l**(130\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3*1\/(-6))\/(21\/(-4)).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -8272 + -20034?\nAnswer: -28306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(12)\/(sqrt(726)*-1 - sqrt(726)).\nAnswer: -sqrt(2)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 + 85 = x - 2*v, -2*x - 3*v + 153 = 0. Does 28 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 0, 9, 22, 39, 60?\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = l**2 + 1. Suppose 427*b = 421*b - 18. Let t be (3 - 0)*b\/9. Let o(p) = 6*p**2 + 7. What is t*o(g) + 5*r(g)?\nAnswer: -g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -10*h**3 + 5660*h**2 + 40110*h - 5. What is d(573)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 34695269 + -18133593. Let j = a - 16561912.00113. Let f = -236 - j. What is f rounded to four decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p = 3*l + 2*p - 113, 2*p - 160 = -4*l. Let z = l + -19. Is z 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 78?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 83\/153780 and 67\/738144.\nAnswer: 3690720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand -133*z**3 + 240*z**3 + 81*z**3 - 2*z**3 + 3*z**3 - 2*z**3 + (-4*z**3 - z**3 + 4*z**3)*(-1 + 5 - 2) + 0*z**3 - 2*z**3 + z**3.\nAnswer: 184*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00924 rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(68)*1 + -2*(-1*sqrt(68) - sqrt(68)))\/(sqrt(8)\/sqrt(8) - -1*sqrt(4)*-2)*-5.\nAnswer: 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 6*z**2 - z - 23. What is the hundreds digit of a(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -436 - -616. Is k a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4505?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (6\/9 - 1)*-51. Suppose 3*f = 4*f + x. Let q = -11 - f. Solve -2*o = 2, q*u - 2*u - 5*o = 9 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 (base 15) to base 9\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 5*n**2 - 625*n - 626. Determine y(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 185329 is divided by 353?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/y**10)\/y**(7\/4)*y\/y**(-1\/4)*y*y\/((y**(-7)\/y)\/y))**(10\/11) assuming y is positive.\nAnswer: y**(15\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = y**2 + 126*y - 11276. Give g(-185).\nAnswer: -361","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + y - 2 - 9 = 0, y - 1 = -i. Which is the nearest to 0.1?  (a) 0.4  (b) 0.3  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3072749 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f - 6 = 5*f, 0 = -2*w - 2*f + 2. Solve w*y = 7*y - 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) be the second derivative of -v**3\/2 - 9*v**2 - 395*v. Give p(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -19162029*w + 156345054.\nAnswer: -19162029","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -154 - -153. Sort 4, t, 5, 0.3 in ascending order.\nAnswer: t, 0.3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3.9 - -25.9. Let w = 22.000045 - x. Round w to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -932 - -971. What is the greatest common factor of 33 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*-5*sqrt(19)*2.\nAnswer: 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = l**3 + 11*l**2 - 26*l + 3. Let m be g(-13). Let q(i) be the first derivative of -1\/8*i**4 + 3\/4*i**2 - 7 + 0*i - 1\/3*i**m. Factor q(w).\nAnswer: -w*(w - 1)*(w + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = 2*n - 3. Suppose 4*u - 12 = -2*c, 2*u + 3*c = -n - 2. What is q in 7*q**4 + 5*q**3 + u*q - 15*q**2 - q - 14*q + 5*q**5 + 8*q**4 = 0?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:36 AM and 8:47 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 190 divide 54508530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*t**4 + 2918*t**3 - 730218*t**2 + 45843730*t + 725843300 = 0 for t.\nAnswer: -13, 155, 1162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -0.237, -0.45, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2 - -0.4. Let n = d + 2. Sort n, -2, 5\/3.\nAnswer: -2, n, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s + 45 = 9*s. Solve -s = -5*h - 0*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 52960 is divided by 2521.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = j**2 - j - 1. Let o(r) = r**3 - 2*r**2 + 6. Let w be ((-2)\/2 - -2)*-1. Let m(c) = w*o(c) - 6*f(c). Suppose 10 = -n - n. Determine m(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 396053, 791117, 1186181, 1581245, 1976309?\nAnswer: 2371373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(2\/37)\/(((a*a*((a*a**40\/a)\/a)\/a*a)\/a)\/a*a) assuming a is positive.\nAnswer: a**(-1478\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -98*v + 55*v - 86*v.\nAnswer: -129*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 33\/6*13*(76575\/(-975) - -79).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 187986 or -12.25?\nAnswer: 187986","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 413, 813, 1213, 1619, 2037?\nAnswer: 2473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (17 + 15 + 3)*(-2*f + 3*f + 0*f) + (f + 0 + 0)*(-2 - 2 + 3) to the form u*f + b and give u.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10100 + -1010011100000?\nAnswer: -1010011110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*s**3 + 204*s**2 - 333*s - 8694.\nAnswer: 3*(s - 7)*(s + 6)*(s + 69)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 + 2*w**4)*(2 - 1 + 0)*(1 - 5 + 1) + (2*w**2 + 3*w**2 - 3*w**2)*(-w + w - w**2).\nAnswer: -8*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -g**3 - g**2 - 3*g - 6. Calculate q(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 1. Let s(c) = -c - 23. Give -s(f) + 2*w(f).\nAnswer: f + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -g - 17. Let b be k(7). Let i = -24 - b. Suppose -5*l + 9 + 26 = i. Calculate the greatest common divisor of 1 and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -15389\/12 + 4277\/3. Let g = 144 - s. What is the smallest value in 0.4, g, 12?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 349, 1404, 3163, 5626, 8793, 12664?\n\"Answer: 352*i**2 - i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q**5 - 124*q**4 - 704*q**3 - 704*q**2 + 1536*q = 0. Calculate q.\nAnswer: -24, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -5 - -3. Let h = 4 + k. Find the third derivative of 0*f**4 + 0*f**4 - 2*f**h - f**5 wrt f.\nAnswer: -60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 38 + 179. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -7*g**2 - 4*g + 4. Let s(t) = 11*t**2 + 6*t - 6. Let q(z) = 7*p(z) + 5*s(z). Is 6 a factor of q(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-26)\/(-12) + (-3)\/(-6). Suppose 0 = -320*y + 316*y + 8. Factor p + 8\/3*h + 2\/3*h**y.\nAnswer: 2*(h + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 + -4 + 5 - -4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 325098 is divided by 6502.\nAnswer: 6500","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = -15, -t + 20 = h + 3*h. Let p(a) = a**3 - 6*a**2 - a + 35. Let u be p(5). Calculate the highest common divisor of u and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-4 + 0)*(1 - 2). Let i(o) = -o**3 + 5*o**2 - 5*o + 4. Let a be i(s). Suppose 0 = q - 1 - a. Calculate the highest common divisor of 9 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k - 212 = 45*k + 5*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*y**3 - 19*y**3 - 4*y**3 - y**3 - 376*y.\nAnswer: -32*y**3 - 376*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) be the first derivative of -d**7\/840 + d**6\/360 + 65*d**4\/24 - 2*d**3 - 4. Let o(n) be the third derivative of w(n). What is the tens digit of o(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -15105*l. Let d(w) = 10296*w**2. Determine i(d(n)).\nAnswer: -155521080*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -2 + 0 + 3*j - 4. Let p be (4\/12)\/((-2)\/(-6)). Let v(c) = 2 + 1 - c - 3 + p. Determine u(l) + 5*v(l).\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v + 3*g + 21 - 5 = 0, 46 = -2*v - 20*g for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 22147 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -11 and (-21)\/(-7)*(91\/(-18) - -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32 = -2*g - 2*g. Let n = -5 - -8. Suppose n*s - g = -s. Calculate the highest common divisor of s and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tntn when four letters picked without replacement from {t: 9, n: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 60 or 1818\/31?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) be the first derivative of 43*w**5\/60 - 11*w**3\/2 - 7*w**2\/2 - w + 70. Let z(b) be the second derivative of l(b). Differentiate z(d) with respect to d.\nAnswer: 86*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 50 - 52.7. Let q = x + -5.3. Which is the closest to 0.1?  (a) -0.1  (b) 2\/5  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2686*u = -2640*u + 3450 for u.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 5*g - 155. Let p be i(32). Suppose -3*z + 1472 = -p*b, -1932 = 5*z - 9*z - b. What are the prime factors of z?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 48856.\nAnswer: 2, 31, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 26, 128, 306, 566, 914, 1356, 1898, 2546?\nAnswer: 3306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -28 - -113. Suppose -6*w - a = 59. Let j = 26 + w. Solve 0*h = -h + j for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100 + -1101100?\nAnswer: -1110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.1 - 0. Let g = -0.8 + 1. Which is the second biggest value?  (a) g  (b) r  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 4 = 8, 0 = k - 2*r + 5. Let b = k - 1. Let v(m) = 3*m**b - 4*m**2 + 4*m**2. Let n(c) = -c**2. Determine n(v(d)).\nAnswer: -9*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 350627 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3021 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -21464, -42942, -64422, -85904, -107388, -128874?\n\"Answer: -u**2 - 21475*u + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find p such that 17*p**4 - 61*p**3 + 16*p**2 + 124*p - 96 = 0.\nAnswer: -24\/17, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/7 of a week in days?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1573)*-2 + sqrt(1573) + 3)*6)**2 - (4 + sqrt(1573)*-2*-6).\nAnswer: -2508*sqrt(13) + 56948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -137\/31260 and 97\/176?\nAnswer: 1375440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 2423271289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 4*j**2 + 46*j + 195. Let i be a(-6). What is the highest common factor of 1218 and i?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -n**3 + 20*n**2 - 38*n - 22. Let k be l(17). Let s = k + -998\/5. Which is the nearest to 1?  (a) 3  (b) s  (c) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.5  (b) 26837  (c) -173\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 271 divide 2651193?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 58 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide -50314 by -25157.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 354\/(-177) - (-2)\/(-1*1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -w**2 - 5190*w + 114666. Let q be h(22). Solve -2 - 1\/6*n + 1\/6*n**q = 0.\nAnswer: -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 160 divided by 80\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 14\/4*((-24)\/45)\/(656\/14760).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -103 + 266426446?\nAnswer: 266426343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 7\/19?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-11*2318\/627*(-15)\/(-10))\/1?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 1031*a**2 - 18523*a - 641. Calculate n(18).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 12*t - 14. Let k = -71 - -73. Let l be n(k). Let d(r) = r**2 - 11*r + 10. Determine d(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 230335 = -3*v + 10*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5813?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.13 + -5.13. Let g be (-12)\/(-99)*78\/(-364)*(1 + 6). What is the fourth biggest value in g, 1, -2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3 - 7) + -2 + (2 - -5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 101238 is divided by 2973?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 538 minutes before 9:25 AM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 1\/5, 0, 160\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -125\/198 and -19\/12?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*u**5 + 456*u**4 + 2592*u**3 + 6080*u**2 + 5568*u + 1152 = 0. What is u?\nAnswer: -6, -2, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) be the first derivative of -y**4\/12 - y**3\/2 - 7*y**2\/2 - 3. Let u(d) be the second derivative of i(d). Calculate u(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) be the third derivative of c**4\/24 + c**3\/2 - 301*c**2. Suppose -7 = -2*d - 17. Let l(u) = -u**2 - 6*u - 1. Let f be l(d). Determine o(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16*i**3 + 5*i + 3124*i**2 - 5*i - 3128*i**2.\nAnswer: 16*i**3 - 4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -47184, -10, 5 in decreasing order.\nAnswer: 5, -2, -10, -47184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -2\/13  (b) -7  (c) 1\/3  (d) 1\/4  (e) 70.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*h**2\/2 - 204141*h\/2 = 0. What is h?\nAnswer: 0, 68047","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1944490?\nAnswer: 2, 5, 337, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 6*p - 18 = -3*b, 5*b + 4*p + 7 = 0. Suppose 9*x - 8*x = 0. Sort b, x, -4 in decreasing order.\nAnswer: b, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 24826*i**4 + 315*i + 94 wrt i.\nAnswer: 297912*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2167 is divided by 18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 606281876?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5.007 - 5. Let x = r - 0.147. Suppose 0*c = 3*c - 6. Sort x, c, 1\/4.\nAnswer: x, 1\/4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21498 = 34*w - 57416. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:09 AM and 12:11 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6746671431?\nAnswer: 3, 61, 12289019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -13928 + 279718. Let l = w + -455790. Round l to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -317073, 1, 67 in descending order.\nAnswer: 67, 1, -317073","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -13*k**2 + 28*k + 32. Calculate w(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1251 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 0 - ((5 - 3) + 2). Let u be p\/(-16) + (-2)\/8. Solve -4*f = -u*f - 8 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 1\/5 of a microsecond?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor n**4 - n**3 - 56*n**2 - 144*n.\nAnswer: n*(n - 9)*(n + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -40, 4, -3 in ascending order.\nAnswer: -40, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(80)\/sqrt(4) + sqrt(20) + -3 - sqrt(35)\/((sqrt(28) - (sqrt(252) + sqrt(28))) + sqrt(28)).\nAnswer: -3 + 17*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 22511791 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.04, 5.88, 37?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 11*o*t**4 + 2*o*t - 172811*o + 2*t**4 - 25*t wrt t.\nAnswer: 44*o*t**3 + 2*o + 8*t**3 - 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: ((1\/(-15))\/((-3)\/162))\/((-6)\/(-15))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -q**3 + 120*q**2 + 7641*q + 171. Give r(-46).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 780*p - 7279. Is v(17) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -4*k**3 + 168*k**2 - 1529*k + 623. Determine n(29).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 14331 to the power of 1\/2, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*x + 18 = -67. Solve -5*d = -r - 7, -x*r = 5*d - 0*d + 5 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from eyeeeyyeyeeyo. What is prob of sequence eyoe?\nAnswer: 7\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 5 - 15 = 0, -4*v + 20 = -w. Let 1\/8*r**3 + 1\/8*r**5 + w*r + 0*r**2 + 1\/4*r**4 + 0 = 0. What is r?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1 - 0)\/((-1)\/2359). Let n = c - 8759. Round n to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 616298563, 1232597127, 1848895691, 2465194255?\nAnswer: 3081492819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 2*f**3 + 19*f**2 - 41*f + 245. Give z(-12).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dwc when three letters picked without replacement from dlqlcwqwqqqqledqd?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 8*q**2 + 16*q + 6. Let n(g) = -7*g**2 - 17*g - 5. Let v(m) = -6*n(m) - 5*u(m). Let s(t) = -2*t**2. Determine v(s(p)).\nAnswer: 8*p**4 - 44*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -5*j + 3*j**2 + 1 + 3 + 1 + j. Let c be q(5). What is the highest common divisor of c and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 2824.336 milliseconds?\nAnswer: 2824336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -164, -339, -624, -1013, -1500?\nAnswer: -2079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -2*w**3 + 45*w**2 - 19*w - 28. Let p be q(22). Which is the closest to 0?  (a) -4  (b) 6  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nnlboqr. Give prob of sequence lnr.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1431097788 to the nearest integer?\nAnswer: 1127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 98.21646 months in years?\nAnswer: 8.184705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-8)\/(-26))\/((-94)\/(-611)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**(-2\/61)\/(g*g\/(g*g*g*g*g**(-18)\/g)*g)*g\/(g**(-1\/4)*g*g)*g**10 assuming g is positive.\nAnswer: g**(-2143\/244)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-325)\/50)\/((-1170)\/60). What is k in -25\/3*k + 0 - 10\/3*k**2 - t*k**3 = 0?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8 + (-1056)\/128)*92?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in seventy-two fifths of a tonne?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 616\/(-616)*4\/(-34)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -968*c**2 + 2905*c + 1. Calculate l(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -14 - (97 + (-26 - -33))\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of (-272)\/(-24)*15\/5 and 2?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3966 divided by -5724.\nAnswer: -661\/954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -v**3\/3 - 149*v**2 + 1360*v\/3 + 1500.\nAnswer: -(v - 5)*(v + 2)*(v + 450)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -112733052?  (a) -0.5  (b) -5  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 126 minutes before 9:18 PM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 399\/81 + 88\/748 + 87\/(-17).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 827 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c - j + 248 = 3*j, 3*j + 581 = 5*c. Suppose 3429 = r + 3419. Calculate the remainder when c is divided by r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -23 - (13 + 69 - 30).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/3 in -2296, 1, 8.82, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 1 + 4 - 11*o**2 + 13*o + 30*o**3 - 17*o**3 - 12*o**3. Does 3 divide h(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 82 + 283. Suppose -4*s - m - 271 = 0. Let w = -74 - s. Is 30 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -1095, 0.01083 in decreasing order.\nAnswer: 0.01083, -2, -1095","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 698*x - 92 = 696*x. Suppose 45*n - 2 = x*n, -3*n = b + 3. Solve 1 - 4 = -3*k - 4*m, 0 = -4*k + b*m + 29 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -28*l**2 - 5486. Let o(r) = 18*r**2. Calculate d(o(k)).\nAnswer: -9072*k**4 - 5486","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -k**3 - 14*k**2 + k + 17. Let l be p(-14). Put l, 0, -10 in decreasing order.\nAnswer: l, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3.55569 + -25.378.\nAnswer: -28.93369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1 + 111010011010010?\nAnswer: 111010011010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w = 5*l + 44, 4*w + 537*l = 539*l - 88 for w.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 13313 (base 5) to base 13.\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 32944213.\nAnswer: 71, 464003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 9942, 10504, 11068, 11634, 12202?\nAnswer: 12772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -22*z**3 + 5*z. Let p(s) = 341*s**3 - 77*s. Suppose -u + 2*w + 14 = -5*u, -4*u - 8 = 4*w. Give u*p(j) - 77*n(j).\nAnswer: -11*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -15 - 4. Let b = 19.058 + c. Round b to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35*p + 114*p = -38*p + 1638. Solve 9 = -23*y + p*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9 divided by -16631\nAnswer: -9\/16631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -40*i**2*q**2 - 475*i**2 + 3*i*q + 54*q**2 wrt q?\nAnswer: -80*i**2 + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of (12\/(-10))\/(8\/10)*-8 and 57.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 2  (b) -1\/5  (c) 71  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10736504?\nAnswer: 2, 1342063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 32*z**2 - 195*z + 592. Let r be w(3). Is 295 at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 626571.\nAnswer: 3, 11, 6329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 4*5\/120 + 2314\/12. Suppose 0 = -11*f - 39 + s. Calculate the lowest common multiple of 14 and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*v**3 - 20*v**5 + 5*v**3 + (v**3 - v**3 - v**4)*(-v + v - 2*v) - 5*v + 5*v + 2*v**5 + 0*v**5 - 2*v**5 + v**5 - 4 + v**5 + 4.\nAnswer: -16*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 311004 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 111 + -101010011?\nAnswer: -101001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.0416 - 0.04160351. Round w to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 237 divide 11722588?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -c**3 - 9*c**2 + 9*c - 2. Let x = 13 + -23. Let d be z(x). Factor -2*u**3 + 10*u**2 + 5*u**3 - d*u**3 + 0*u**2.\nAnswer: -5*u**2*(u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 6.6 + 9928.\nAnswer: 9934.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 72764 is divided by 140.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*a + 1564 = -438. List the prime factors of a.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -16681 + -17?\nAnswer: -16698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 14*h**3 - 2503*h**2 - 562*h + 4492. Give x(179).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 times -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 111439, 221816, 332193, 442570, 552947?\n\"Answer: 110377*c + 1062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 1010 and -75?\nAnswer: 1085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 at most 39\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6971 divided by -36.\nAnswer: -6971\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-560)\/210)\/(0 + (-3)\/(-9)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1.232 - 1.4842. Round c to 2 dps.\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1970 + -1720. Solve -257 = 7*q - h for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -409 and 0.32243?\nAnswer: -131.87387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lslc when four letters picked without replacement from {g: 1, l: 2, s: 4, c: 2, e: 3}?\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -4*f - 7. Let z be 4\/3*12\/8. Suppose -24 = -c - z*c + 4*w, 2*c + 2*w - 2 = 0. What is the remainder when r(-5) is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:58 PM and 4:59 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -9\/160384 and -27\/175?\nAnswer: 4009600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*l + 33*n - 45 = 32*n, 75 = 5*l + 9*n for l.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 26621 is divided by 13295.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4.915 - 0.085. What is the closest to 1 in i, 2, -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 10 = -v - 0*v, 0 = -3*v + 5*c - 30. Let l(u) = -u**2 - 14*u - 3. What is the units digit of l(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -997*o + 18037 = -23837 for o.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1 - 1. Suppose 4 = -i*m - 4*m. Let v(y) = 2*y**2 + 872*y - 11*y**3 - 872*y - 1. Calculate v(m).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c = 2*x, 0 = 91*x - 86*x - 5*c - 60. Suppose 4*s - 6 + 54 = 0. What is the remainder when 29 is divided by (-111)\/s - (-6)\/x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 31382 + -31123. Suppose 6*u - 25 = u. Suppose -809 = -u*m - z. Calculate the greatest common divisor of m and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 times 14\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*k - 4*k + 6*k)*(-4*k - 3*k + 237 + 6*k).\nAnswer: -2*k**2 + 474*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.14 * -0.02.\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 364729 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 0 - 2 + 3 + 9*o. Let h(x) = -x + 1. Let g(s) = -2*h(s) + k(s). Let m = 4 + -3. Calculate g(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18 = -2*b + 4*o - 2*o, 3*o = -5*b - 5 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 17\/568 and (-10)\/(-2) + (-250070)\/11360 + 17.\nAnswer: 1136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (37089\/(-4))\/(5\/(-460)). Let k = u - 123047. Suppose n = -0*n + k. Round n to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*v**3\/4 - 12225*v**2\/2 + 24435*v\/4 + 24445\/2 = 0. Calculate v.\nAnswer: -1, 2, 4889","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (1\/(-2))\/(2\/(-4)). Let z(w) = 2*w - 1 - w**3 + d. Let c = -162 - -160. Give z(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v**2\/5 + 462931*v + 4629314\/5 = 0. Calculate v.\nAnswer: -2, 2314657","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 250, 534, 818, 1102, 1386, 1670?\n\"Answer: 284*z - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 14344433?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 788713117 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence at when two letters picked without replacement from {a: 8, m: 1, t: 6}?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -9*m + 17. Let q(n) = -n. Calculate l(g) - 6*q(g).\nAnswer: -3*g + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*q + 10*q = 5*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2162289530?\nAnswer: 2, 5, 216228953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(-10)\/r*r)\/r*r)\/r**(-2\/39)*r**(-1\/3)\/r*r**(-1\/3) assuming r is positive.\nAnswer: r**(-151\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = d**3 + 4*d**2 - 4*d + 5. Let s be p(-5). Let k(j) = 9*j + s*j + 0*j - 8*j. Let x(c) = -7*c**2 - 9*c**2 + 7*c**2. What is x(k(l))?\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(11) + -1 + -1*sqrt(1100))**2.\nAnswer: 18*sqrt(11) + 892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-4\/7)\/d**(3\/7)*(d\/(((d*d**(1\/2)*d)\/d)\/d))\/(d\/(d\/(d*d**(-11)*d)*d)))**(-42) assuming d is positive.\nAnswer: d**(-399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 minutes before 10:17 PM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4379246?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from llloolloolooollloo. What is prob of sequence oo?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1665 - -1665. Solve -4*v - x + 5 = 0, 3*x = 5*v - y*v - 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2 - -2. Suppose q = 2*c - 4 - 2. Find b, given that -2\/9*b**c + 0*b + 0 + 4\/9*b**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -w**4\/9 - 10*w**3\/9 - w**2\/9 + 52*w\/3 + 32.\nAnswer: -(w - 4)*(w + 3)**2*(w + 8)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1 - 3. Suppose -3*x - 3*i - 2 = -17, -3*x - 5*i + 13 = 0. Let r(y) = -8*y + 40. Let u be r(x). Put 1, u, t in increasing order.\nAnswer: u, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 919 - 576. What is the highest common factor of m and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 1, p: 1, i: 4, h: 4, v: 1, l: 1}. Give prob of sequence wvi.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let 20*n**5 - 72*n**4 - 112*n**3 + 288*n**2 + 128*n = 0. What is n?\nAnswer: -2, -2\/5, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 41, -2, -4, -22, 3 in increasing order.\nAnswer: -22, -4, -2, 3, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -118 + 127. What is the remainder when 18 is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 69 - -4?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at most 11\/1932952?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of -1*(-1)\/(-3) + 5275\/75?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -d**3*l**3 - 1758*d**3 + 10*d**2*l**3 - d**2*l - 9*d*l**3 wrt d.\nAnswer: -6*l**3 - 10548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 2200002 (base 4) to base 15\nAnswer: 307c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence evi when three letters picked without replacement from {e: 1, v: 2, i: 7}?\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/(-2 - -94)*(69 - 349 - -284).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 39733 is divided by 4413?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 729 and 15651?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -9282, -36986, -83160, -147804, -230918, -332502, -452556?\n\"Answer: -9235*z**2 + z - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-22)\/4)\/((-3)\/30))\/(11490\/(-1915))?\nAnswer: -55\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find q, given that -4\/3*q + 2\/9*q**2 + 2 = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*v**5 - 5*v**5 + 3*v**5 - 6*v**5 + v**5 + 3*v**5 + 5*v - 2*v**5 - 5*v + (0*v - v + 2*v)*(-v**2 + v**2 - v**4) + 347*v**4 + 10*v**5 - 347*v**4.\nAnswer: 3*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -w**2 + 13*w - 15. Let h be n(8). Solve -h = -5*a, 2*a - 4*a = 5*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -10, -5, 0 in increasing order.\nAnswer: -10, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*i**4 + 0*i + 16\/3*i**2 + 0 - 2\/3*i**5 - 8*i**3.\nAnswer: -2*i**2*(i - 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 57*z - 624. Let b be y(11). Solve -5*s + b*p - p = -17, 2*p - 13 = -5*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + n - 31 = 0, -5*f - 3 = -4*n - 32. Let c = -4 + f. Solve 0*p + c*p = -10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 2*a - 2. Let z(x) = 2*x - 2. Let c(f) = -6*l(f) + 5*z(f). Let m be c(-7). Suppose -r + m = 2*y, -2*r - 3*y + 45 = 3*r. Solve -d - r = d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:10 PM and 1:21 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 31*q**2 - 1771*q - 186. Give v(57).\nAnswer: -414","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (q + 3*q - 2*q)*(-57*q + 20*q + 69*q)*(-2*q**3 - q**3 + 8*q**3).\nAnswer: 320*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 55 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let -1011*q**2\/2 + 94014*q + 1674 = 0. What is q?\nAnswer: -6\/337, 186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve m + 7 = -0*m - d, -5*d - 20 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 382346 + 374711 = 37*w. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(10)\/(2*sqrt(72) - sqrt(72)))**2 + 3 + 4.\nAnswer: 257\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(-1)\/k)**44\/(k*k\/(k*k**(-10)*k)*(k\/(k**(2\/7)\/k))\/k))**(4\/11) assuming k is positive.\nAnswer: k**(-2764\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/5 in -22, -4\/3, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) be the third derivative of v**4\/24 - 5*v**3\/2 + 6*v**2. Let p be d(12). Which is the second biggest value?  (a) p  (b) 15  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*v + 7 = q + 25*v, 3*v - 6 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 184682 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -17218*f**2*o**3*y - 91*f**2*o**2*y**3 + 23*f*y - o**3*y**3 - 2*o**2*y**3 - 22*o**2*y**2 - 11*y**2 wrt f.\nAnswer: -34436*o**3*y - 182*o**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 720\/(-264)*(-495)\/75?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (72\/(-378))\/((-5338)\/(-1099))?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -2*d**3 + 69*d**2 + 1300*d - 45312. Determine n(34).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 46406 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 6271696969 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 20468409 plus -0.05?\nAnswer: 20468408.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50*a + 19082 = -3*a. Which is greater: a or 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2.5 + -36.28098\nAnswer: -38.78098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express -524*d + 524*d - 14*d**2 in the form k*d + j + f*d**2 and give f.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = b**3 - 82*b**2 + 248*b - 862. Let o be y(79). Solve -68 + 40 = -o*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7696856?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 234960?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x**10)**(-7\/5) assuming x is positive.\nAnswer: x**(-77\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*d*i**6 - 22*d*i - 342*i**6 - 11*i**2 wrt i?\nAnswer: -240*d*i**3 - 41040*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4 - 23\/3*p + 1\/3*p**3 + 10\/3*p**2.\nAnswer: (p - 1)**2*(p + 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1898 - 1128. What is the remainder when (-4)\/(-14) + (s\/49 - 1) is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -a4 + 79?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 155 + 25 = 0. List the prime factors of r.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -7 at least as big as -125?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 1, p: 2, d: 1, q: 1, t: 1, w: 1}. What is prob of sequence dq?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 120 a factor of 2162160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 23688 and 1974?\nAnswer: 23688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 6 = 0, 5*d + 4*h + 8 = 351. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from oogogiogioii.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) be the third derivative of -i**7\/105 - i**5\/10 - 2*i**3 + 13*i**2 - 2*i. Differentiate j(t) with respect to t.\nAnswer: -8*t**3 - 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 725 by 36.\nAnswer: 725\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/(-3))\/(3\/((-27)\/30))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(-5*-2*sqrt(95) + sqrt(95))\/sqrt(5).\nAnswer: 11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -d**3 - 3*d + 0*d**3 + 3*d**3 + 0*d.\nAnswer: 2*d**3 - 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 43\/4 and -42\/11?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - w = 19, 3*d + 3*w = 5*w + 18. Suppose -5*r = y + y - 13, d*r - 8 = -y. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -9*y**3 - 410*y**2 - 41616*y + 84888. Let l(s) = 40*s**3 + 1640*s**2 + 166466*s - 339560. Let m(t) = -2*l(t) - 9*v(t). Factor m(b).\nAnswer: (b - 2)*(b + 206)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) be the first derivative of 10*w**2 - w - 198. Let i(h) = 20*h. Give v(i(m)).\nAnswer: 400*m - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3 times 1631?\nAnswer: 489.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -j**2 - 9*j - 10. Let x be h(-7). Suppose -x*a - 7 + 3 = 0. What is the units digit of a\/2*(-5 - 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = 2*d - 1690, -19*d - 2242 = -4*t - 16*d. Is t a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -83, -1.4, 1, 4\/9, 0, -32.8 in descending order.\nAnswer: 1, 4\/9, 0, -1.4, -32.8, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(12)\/sqrt(3)*1)\/(sqrt(4)\/sqrt(2)*2))**2 + ((5*(1 + sqrt(242) - sqrt(242)) - (sqrt(242) + (sqrt(242)*2*6 - sqrt(242)) - sqrt(242)))*2)**2.\nAnswer: -4840*sqrt(2) + 234457\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) be the third derivative of 7*d**6\/24 - d**5 + 5*d**4\/8 + 5*d**3\/3 - 4*d**2. Factor f(y).\nAnswer: 5*(y - 1)**2*(7*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2 - ((-12)\/6 - 55)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2  (b) -1029  (c) -372  (d) 3  (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(550)\/(sqrt(30)\/sqrt(3)) + -4*sqrt(220) + sqrt(55))\/((sqrt(5)*-5 - sqrt(5))*-1*-4).\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 423 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 295 divide 1141219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*k + 6*k**3 - 430 + 430 + (3*k - 4*k**2 - 3*k)*(k - k + 3*k).\nAnswer: -6*k**3 - 6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2, -10.23, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 9*x**2 + 6*x - 29. What is the tens digit of a(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1363561*w**2 - 35658*w + 37.\nAnswer: 2727122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) be the first derivative of 5*p**3\/3 + 235*p**2\/2 + 660*p - 602. Factor q(z).\nAnswer: 5*(z + 3)*(z + 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (2\/(-4))\/((-24)\/(-12)). Which is the nearest to 0.1?  (a) -3  (b) -48  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-4 + (-30)\/(-6))\/(13\/14209)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c = s + 2*s + 216, -2*s + 152 = 2*c. Let a = c + -40. Is a a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f - f = k - 16, 3*f = 4*k - 71. Suppose 6*i + 2*s - k = i, 2*i + 3*s - 9 = 0. Suppose -3*h + d = 3, -4*d = h - i*d + 5. Are h and -4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**1)**8\/(g**(-3\/5)\/g*g*(g\/g**(1\/3)*g)\/g*g) assuming g is positive.\nAnswer: g**(104\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 35542*z**2 + 47061 wrt z.\nAnswer: 71084*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 758, 2179, 4264, 7013?\nAnswer: 10426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(4\/9)\/(f**(-1\/15)\/f*f))\/(f**(-5))**(4\/15) assuming f is positive.\nAnswer: f**(83\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -13 + 12 - 365*g**2 + 1. Let c(q) = q. Determine h(c(p)).\nAnswer: -365*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 430\/(-43) + 269\/25. Which is smaller: i or 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 10 - 9. List the prime factors of y + -1 - (-12 - 2).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x = 5*r - 179405, 26*r - 25*r = 12*x - 430468. List the prime factors of x.\nAnswer: 29, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x = 5*r + 71, 64 = 3*x - x + 5*r. Let a be 129\/x + 2\/9. Suppose -3*y = -3*z, -3 - a = -5*y + 3*z. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2776.8999975136 + 2776.9. What is r rounded to 7 decimal places?\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = m**3 - 8*m + 3. Let v be c(5). Let w(f) = -f**3 - 6*f**2 + f - 20. Let x be w(-7). What is the highest common factor of v and x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 6*r = -2*g + 515, -5*r + 1250 = 5*g. Suppose 5*k - 2*y - 270 = 0, y = -5*k - 2*y + g. What is the highest common divisor of 13 and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 48 and 300?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1179752)\/(-36) - 24\/(-216) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -170840 - -4?\nAnswer: -170836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2 and -0.944666.\nAnswer: -1.889332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 696 and 818988.\nAnswer: 47501304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -1*(-1)\/2*4. Let m(b) = 21*b**2 - 4*b + 3. Let z be m(v). Suppose -2*k = -2*x + 44, -3*x = -k - z + 21. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u*u\/(u\/(u\/u**6*u))*u*u*u**(1\/3))**(-26)*(u\/(u\/((u*(u*((u*u**(-8))\/u*u)\/u*u)\/u)\/u))*u*u\/u**(6\/11))**(-11\/7) assuming u is positive.\nAnswer: u**(1\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -10004400*o**2 - 1103450*o - 4?\nAnswer: -20008800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -4711*b - 791456. Calculate r(-168).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*v = -10*v - 0*v. Solve v = x + 45 - 42 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16*p + 12 - 10 - 19 - 46 - 20*p.\nAnswer: -4*p - 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 2844806, 5689610, 8534414, 11379218, 14224022, 17068826?\n\"Answer: 2844804*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -26642450 to the nearest 100000.\nAnswer: -26600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 32224, 128903, 290036, 515623, 805664?\n\"Answer: 32227*r**2 - 2*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -22 - 7?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 2*q + 1146 = 0, -30 = -q - 33. Calculate the highest common divisor of 12 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q + o - 205 = 0, 6*q + 3*o - 95 = 4*q. Let m be 21\/(-105) + (-22)\/q. What is the second biggest value in m, -4\/7, 0?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 180035 is divided by 54.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xp when two letters picked without replacement from xxpz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -202 or -204?\nAnswer: -202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*q**6 + 114*q**3 - 15475*q**2 + 7778*q**2 + 8096*q**2 wrt q?\nAnswer: -240*q**3 + 684","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/2?  (a) 38039.5  (b) 1\/2  (c) 0.1  (d) 1  (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + j - 2*j + 317 = 0, -4*j = -2*d + 230. What is the remainder when 284 is divided by d?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.01 + -167.\nAnswer: -166.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -21290 divided by -1\nAnswer: 21290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express u + 2 - 2114*u**2 + 2112*u**2 - 2*u**3 + 0*u**3 - u**3 in the form h*u**3 + d + a*u + s*u**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 714 minutes after 8:45 AM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 44a4a088 - a?\nAnswer: 44a4a079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 5*v, -13 = 2*i - 3*i - v. Let p be (2 - (i + -5))*2. Which is the closest to p?  (a) -5  (b) 3  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m - 3*c + 874 = -3722, -3*m + 5*c + 3476 = 0. Calculate the highest common divisor of m and 6768.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 881 - 881. Which is greater: d or -5\/41?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 821676.9 centimeters?\nAnswer: 8216769000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 3644 a factor of 2929575580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 147, 280, 421, 576, 751, 952, 1185, 1456?\nAnswer: 1771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -42*c + 2. Let n(l) = -59*l - 1 - 132*l + 192*l. What is j(b) + 2*n(b)?\nAnswer: -40*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 4, y: 3, x: 1, t: 12}. What is prob of picking 1 j and 1 y?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 787831 to the power of 1\/3, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 423, -1, -5, -4, 1, 73 in decreasing order.\nAnswer: 423, 73, 1, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = i**2 - 14*i + 15. Let q be c(13). Suppose -q*m = -6*m + 12. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34*k - 33 = 23*k. Let g = -2 - -4. Which is smaller: k or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -23\/5, 1\/11, 3, -0.5?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*k + 25 - 5. Suppose -2 = -2*a - 4, 3*a + 453 = k*c. Is 10 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 197 minutes before 1:18 PM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o = -7 - 8. Suppose -o*i + i + 5880 = 0. Round i to the nearest 100.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-2\/5))**(-50)\/(z**(1\/2))**(-1\/23) assuming z is positive.\nAnswer: z**(921\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -2\/5, 10, 1\/125, -2\/13?\nAnswer: 1\/125","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 8925076507 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = g**2 + g - 102. Let k be x(0). Let i = 36 - k. Suppose -6*o = -3*o - i. Calculate the remainder when o is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in eleven quarters of a kilogram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 139*x + 29244 - 31051 = 0 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 3*j**3 - 3*j**2 + 3*j. Let a(r) = 2*r**2 - r + 112. Let v be a(0). Suppose 20 = 6*y - v. Calculate the lowest common multiple of w(2) and y.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 = -5*l, 5*l + 2891 - 2886 = 5*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Add together -12743213741.71 and -0.111.\nAnswer: -12743213741.821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 140, 627, 1440, 2579, 4044?\n\"Answer: 163*w**2 - 2*w - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 2 q when three letters picked without replacement from {q: 3, t: 6, n: 2, i: 4}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 3.979 and 21.5?\nAnswer: 85.5485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 38356 is divided by 227?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 831, 1676, 2535, 3414, 4319?\n\"Answer: k**3 + k**2 + 835*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1104 + 418 = -85*u - 263 for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -127 = 12*m - 151 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-6)\/(-4))\/((-2)\/4). Let u(n) = -2*n - 4. What is the lowest common multiple of u(y) and (-1 - 0)\/(4\/(-20))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*g**2 + 8232624*g - 5648008160448.\nAnswer: -3*(g - 1372104)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = 3*x**3 - x**2 + 5*x + 8. Let j(a) = 3*a**3 - a**2 + 4*a + 7. Let k(w) = 5*j(w) - 4*v(w). Let s(b) = 6*b**3 - b**2 + 5. Calculate -5*k(m) + 3*s(m).\nAnswer: 3*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 16 and 7084.\nAnswer: 28336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 37 a factor of 6031?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 23 - 23. Let d = 3 - -2. Suppose w = 2*w - d. Solve -w*i - o = k, -5*o = -o for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + 1 + (4*(sqrt(720) + -1*sqrt(720) + 1 + -2)*-2)**2.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -15.001 - -15. Let g = n + -0.499. Which is the nearest to 2?  (a) 0.1  (b) g  (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:58 AM and 8:34 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 8371.894 micrometers?\nAnswer: 0.000008371894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by -12.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 3 + -1 + -4 + 0. Let k(z) be the first derivative of -z**4\/4 - z**3\/3 - 3*z**2\/2 - 3*z - 1. What is k(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -p**3 + p**2 - p + 14. Suppose 4*g + 9 = 3*l, 3 = 5*g + 2*l - 3. Let f be d(g). What is the highest common divisor of f and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -353*g + 6680. Calculate w(19).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -m**2 + 7*m + 6. What is the remainder when 34 is divided by o(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 21 = s - 2*s, 0 = -q - 3*s + 2. Let v be (14\/(-63))\/(3\/(-9)). Which is the second biggest value?  (a) -1\/6  (b) q  (c) v  (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.013372679 to 5 decimal places.\nAnswer: 0.01337","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 6106659*o**3*y**2 + 349*o**3*y - 2*o*y - 2*y + 21 wrt y.\nAnswer: 12213318*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gyxxn. Give prob of sequence nxy.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 7*(-13)\/13*(57 - 0)\/(-3). Solve -2*j + 143 = h for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*w**2 + 171265*w + 18037950.\nAnswer: -5*(w - 34358)*(w + 105)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 11*l - 21. Suppose 0 = b + 4*x - 294, 3*b + 0*x - 3*x = 927. Calculate the smallest common multiple of q(3) and b.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 302837*c*w**3 - 103833*c with respect to w.\nAnswer: 908511*c*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3007290 is divided by 92.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -608957578, -1217915141, -1826872692, -2435830225, -3044787734?\n\"Answer: m**3 - 608957570*m - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 68831.31 millilitres?\nAnswer: 68.83131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 201 is divided by 49.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -83, -81, -79, -77?\n\"Answer: 2*d - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 69205 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xyrxkpyxxyyyxxxyry. What is prob of sequence kry?\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5 * 69613.\nAnswer: -348065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -1*(1*-6 - -1). Suppose -4*r + 12 = -0*r. Determine w so that -1 - r*w**4 + 2*w**4 + 4*w**2 + 3*w**2 - k*w**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9*z**2 - 6*z**2 + 2*z + 1 + 13*z**2 to g + u*z**2 + y*z and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -544 + 543.999996942. What is o rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*h**2 - 41*h**3 + 1 - 2 + 135118*h - 135130*h.\nAnswer: -41*h**3 - 2*h**2 - 12*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 590 = 3*p + 2. Suppose -2*n + p = -n. Suppose -44 = 147*g - 158*g. Calculate the lowest common multiple of n and g.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 4*h. Let g be (-2)\/(-4) + (-6)\/(-4). Let n(v) = 0 + 1 - 4*v**2 - 4 + 5*v**g. Let z(l) = -2*l**2 + 5. Let a(i) = -10*n(i) - 6*z(i). Determine a(u(d)).\nAnswer: 32*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -4, -1.\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) -3  (b) 1\/5  (c) 8  (d) 2  (e) -3\/8  (f) 1  (g) -93\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 438 + -427. Let n(y) = -y**2 + 9*y - 18. Let j be n(5). Sort -0.3, 3, j, i.\nAnswer: -0.3, j, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 166224780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p - 4*n - 5 - 15 = 0, -3*p - 34 = 4*n. Suppose 0 = 3*o + 23 - 125. Let s = p + o. Is 20 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 6\/(-8)*(-48)\/(-3). Let j be z\/8*(-5 + 3). Suppose 0 = j*b - 1333 - 1667. What is b rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 96488520.\nAnswer: 2, 3, 5, 823, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 12925320 and 298110.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 2*t - 30. Let m be 4 + -5 + (-93)\/6*2. Let o be m\/(-5*(-11)\/((-55)\/2)). What is d(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 0*z + z - 2*z**3 + 0*z**2 - 1 + 2*z**2. Let x be (9\/((-54)\/(-30)))\/5. Let r(a) = -a**3 + a**2 + a + 1. Determine x*y(v) - r(v).\nAnswer: -v**3 + v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) -2334  (b) -2\/5  (c) -300  (d) -2\/11  (e) 0.4  (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-6)\/(-12))\/((-2)\/48). Let x = a - -27. Does 8 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 2*o + 3*o = 51, -2*g - 5*o + 47 = 0. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of ((-1056)\/(-36))\/(1424\/711 - 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20044853 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 83, 203, 389, 641, 959?\n\"Answer: 33*l**2 + 21*l + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 55873*c**3 - 42871*c**3 - 3 + 1 + 2.\nAnswer: 13002*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 1323, 1720, 2117?\n\"Answer: 397*z + 926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:57 PM and 11:12 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 66 and 14366550?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 36939 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1739 = -5*w - 4*p, -6*p + 3 = -3*p. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4447*w - 4442*w - 10702205 = 0. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 188?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dddaakkkkkad. Give prob of sequence adk.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 250917 - -1a?\nAnswer: 250935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0.31  (b) 4\/3  (c) 4  (d) 0.1  (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s = -0*s - 12. Find v, given that s + 9*v + 2 - 5*v**2 + 8*v**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -2*t**2 - 4*t - 2. Let o be y(7). Let g = o - -261. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*c**3*t - 110959837*c**3 - 129*c*t + 2*c + 2*t + 50923 wrt c?\nAnswer: 12*c*t - 665759022*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 153425 and 80271960?\nAnswer: 401359800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 393421?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 562 (base 14) in base 9?\nAnswer: 1414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(3\/2)\/r*r**(-3\/5))\/(r\/(r\/(r\/(r**(2\/7)*r*r)))*r)**16 assuming r is positive.\nAnswer: r**(313\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = m**3 + 2*m**2 - m - 45. Let k(q) = 2*q**3 + 5*q**2 - 2*q - 92. Determine 4*k(r) - 10*o(r).\nAnswer: -2*r**3 + 2*r + 82","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -1*((-4)\/(-12) + 0). Sort -5, 1\/2, 5, q in ascending order.\nAnswer: -5, q, 1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -33 + -2 + 1 + 19.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2\/8 - (-77)\/28. Suppose 0 = 2*r - v*f - 264, r + f = 5*f + 122. Suppose r - 1345 = -i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 378\/(-27) - (-1 + -15). Let j(i) = 7*i**3 - 2*i**2 + i - 1. Determine j(l).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) be the first derivative of a**4\/4 + a**3\/3 - a**2\/2 - 22*a - 218. Let x(z) = -z - 4. Let q be x(-4). Determine f(q).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -22 - -18. Which is the second biggest value?  (a) -1\/10  (b) 5\/2  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 1. Let h(x) = 3*x**2 + 14*x + 9. Let i = -42 - -45. Let q(v) = i*h(v) - 3*r(v). Factor q(c).\nAnswer: 3*(c + 4)*(3*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/3?  (a) -10\/9  (b) -3\/53  (c) -1\/2  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 5ee9a2 (base 15) to base 2\nAnswer: 10001011000000100101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -77*j + 65248391 - 7048323 + 104770047 = 0. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 53352.\nAnswer: 2, 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 755318504 a multiple of 5128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*x - 9*x = -2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 825548305*c**4 + 1071177420.\nAnswer: 3302193220*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - t - 287 = 0, -3*l = -4*t + 6*t - 856. Is l a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + sqrt(325)*-2 - sqrt(325) - (sqrt(325) + 4 + 3*sqrt(325)))**2.\nAnswer: 630*sqrt(13) + 16006","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p = -2*t - 5*p - 72, p - 180 = 5*t. Let m be (-424)\/t + 3 - (-4)\/18. Solve o - m = 4*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 3\/10 of a millimeter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5 + -9. Let x be (12 + (-1014)\/84)\/((-1)\/(-4)). Which is the third biggest value?  (a) -0.3  (b) x  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, 0.3, 3, -163.5 in descending order.\nAnswer: 3, 0.3, -0.5, -163.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2701555?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 1, 0.06, -5, 0, 0.21982?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.046176 - 3109.\nAnswer: -3108.953824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-12609 + 12609 + 1887*p)*(-4 + 2 + 1).\nAnswer: -1887*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -63261*l + 224443?\nAnswer: -63261","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:23 AM and 6:18 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-3)\/108)\/(7\/(42\/(-2))). Let u(t) be the second derivative of 0 - 7\/6*t**3 + x*t**4 + t - 3*t**2. What is u(7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 13, -70, -10, 4, 5 in descending order.\nAnswer: 13, 5, 4, -10, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-3)\/(-30))\/((-5)\/(-10)). Let w = -10700 - -363773\/34. Let k = w + -12\/17. What is the closest to -1\/2 in -3\/5, l, k?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -h**3 + h + 1. Let g(c) = -c**5 + 2*c**3 + 10*c**2 - 2*c - 2. Let n(q) = -g(q) - 2*t(q). What is the third derivative of n(k) wrt k?\nAnswer: 60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -m**3 - 2*m**2 + 3*m + 6. What is the units digit of r(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 40232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27586 = 3525*t + 21764 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.2, -41621, -6.2, 0.13 in increasing order.\nAnswer: -41621, -6.2, -0.2, 0.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -243*n = -225*n + 612 for n.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j = -4*o + 46, -9*o + 11*o - 3 = 3*j. Is 1*-6*(0\/o - 55) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let m = 13 + -26. Let w = 15 + m. Solve -9 = -4*v - t - 32, -w*v - 1 = -3*t for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kgfze. What is prob of picking 1 g and 1 e?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 39009492869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3832 (base 9) to base 10.\nAnswer: 2864","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -18*r + 60. Let d(n) = 19*n - 60. Let v(w) = 3*d(w) + 4*o(w). What is the remainder when 73 is divided by v(3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-4)\/13*117\/52. Let n be (0\/(-2))\/(53 - 50). Is n equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find y, given that 0 + 204*y**2 - 108*y + 71\/3*y**3 + 2\/3*y**4 = 0.\nAnswer: -18, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -5, 521, 15?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -167*f. Let t be q(1). Let j = -97 - t. Suppose 0 = -5*k + 515 - j. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = -5*d + 34 - 12, -15 = -3*d. Let u = 230\/3 + -76. Which is the closest to u?  (a) -2\/9  (b) -1\/2  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 2*l**2. Let u be (-49)\/147*0\/(-2). Let o(k) be the second derivative of u + 1\/6*k**3 - 5*k + 0*k**2. Calculate o(r(a)).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 85249271 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 34 - 26. Let k = j - 10. Let n = 73 + k. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2400 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 468, 627, 1052, 1875, 3228, 5243, 8052?\nAnswer: 11787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1352 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(121) + sqrt(121) + (sqrt(121) - sqrt(121)*2))\/sqrt(11))**2 - (-5 + sqrt(66)\/sqrt(6))**2 - (5 + (sqrt(1100)*-2)**2 - sqrt(1100)*-2*1)) + -4.\nAnswer: -4434 - 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.05 * -129.4.\nAnswer: -6.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 635225 to the power of 1\/2, to the nearest integer?\nAnswer: 797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**5\/t**4*t\/(t*t**5*t)*t*t**(1\/15) assuming t is positive.\nAnswer: t**(-59\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-260)\/(-143) - (-520)\/(-9724)?\nAnswer: 30\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = m**2 - 9*m. Let i be z(9). Suppose i = 3*q - 0*q - 12. Suppose 7*n - 132 = q*n. Calculate the highest common factor of n and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.4 - -0.9. Let g = -34762\/3 + 11588. What is the nearest to -1\/4 in g, -4, u, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3385996.\nAnswer: 2, 846499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-40)\/(-14))\/10 + 88\/(-210). Let v = -29.6 - -30. Which is the second biggest value?  (a) -6  (b) v  (c) z  (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 6, -0.7, -0.6, 0.5, 3, 2\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 2 + 3*f - 2*f**2 - 5*f**2 - f. Let w(b) = -15*b**2 + 5*b + 5. Let m(c) = -13*g(c) + 6*w(c). Factor m(k).\nAnswer: (k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -205, 5, 10, -2 in descending order.\nAnswer: 10, 5, -2, -205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*q + 35 - 35)*(3*q**4 - q**2 + q**2) + 5*q**5 - 2*q**5 - q**5 + (6 - 1 - 3)*(3*q**4 - 2*q**5 - 3*q**4).\nAnswer: -11*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = z**2 - 1. Let p(y) = y + y**2 + 2*y**2 + 1 - y**2 + 2. Let g(b) = -p(b) - 3*t(b). What is the second derivative of g(s) wrt s?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -1*(1 - (3 - 2)). Suppose 5*h = -5*o + 30, -5*h + 24 = -1. Suppose -9 + o = -4*i. Put -1, d, i in increasing order.\nAnswer: -1, d, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -2*s - 4. Let h be (-4 - -13)*2\/6. Let i(n) = -6*n - 11. Let x(j) = h*i(j) - 8*v(j). Does 4 divide x(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -s**3 + 23*s**2 - 5*s - 8. Let t(u) = 2*u**2 - u - 1. Let o(q) = d(q) - 5*t(q). Give o(13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.07807678 to two decimal places.\nAnswer: 2.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(2\/29)*u)\/u*u**2*(u\/u**(-2\/5))**(-43) assuming u is positive.\nAnswer: u**(-8429\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 96 and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -13 + 16. What is the closest to c in 4, -3\/5, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -g - 3. Let x(q) be the first derivative of -q**3\/3 + 5*q**2 - 9*q - 3. Let i be x(9). What is d(i)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 2393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 10757 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19444*f**3 - 35 - 49188*f**3 + 32.\nAnswer: -29744*f**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.02013510477 to five decimal places.\nAnswer: 0.02014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -21*g**2 + 18*g. Let t(u) = -3*u**2 + 2*u - 3*u**2 + 3*u. Let o(x) = -5*a(x) + 18*t(x). Let k(m) = 8 + 2 - 10 - 5*m. What is k(o(c))?\nAnswer: 15*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -861*w**4*z + 2*w**4 + 45089*w**3 + 8*w**2*z + w*z - w + 714*z - 2 wrt w.\nAnswer: -20664*w*z + 48*w + 270534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = m**2 + 4*m + 2. Let t be o(-4). Suppose 3*n + 0*n - 3 = 2*d, t*n - 2 = -3*d. Is 3 bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 3a + 0?\nAnswer: 3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -1704, -1708, -1712, -1716, -1720, -1724?\n\"Answer: -4*g - 1700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) be the first derivative of -b**4\/12 + b**2 + b + 14. Let l(f) be the first derivative of a(f). Let r be ((-10)\/15)\/(2\/(-9)). Give l(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 156294 and 760?\nAnswer: 3125880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from glkgkglckggc. What is prob of picking 2 l and 1 k?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 392, 1497, 0 in ascending order.\nAnswer: 0, 392, 1497","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 0.791602 centimeters?\nAnswer: 0.00791602","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -46*a + 136*a - 42*a - 46*a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 56 divided by 1243?\nAnswer: 56\/1243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 726, 1492, 2246, 2958, 3598, 4136, 4542, 4786?\nAnswer: 4838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1)\/4 - 883\/4. Let m(b) = -42*b + 38. Let g be m(4). Let n = g - k. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*d = -20*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 50955308273 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 4 + (-84)\/22 - (-9)\/11. Let x = 7 + -4. Put x, o, 0 in decreasing order.\nAnswer: x, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 167 is divided by 84.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 220 is divided by 195?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -20 - -23. Suppose -51*g = -10*g - 164. Solve g = -b - c, -x*b - 1 = -5*c - 5 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 861 + -2002. Is -1141 equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 166 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand -7*z**2 + 5*z**2 - 12*z**2 + 4*z**2 - 2*z**2 - z**2 + (2 + 3*z - 2)*(-3 - z + 3).\nAnswer: -16*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 28 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -49049 + 12360277\/252. Let u = x + 2\/63. Sort u, 0.1, 1\/5 in increasing order.\nAnswer: u, 0.1, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 + 1 + 2 + -1 + 1 - 3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 4, t: 3, u: 2, c: 2, y: 2}. What is prob of picking 1 y and 2 c?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 32 - -21. Let y = s + -18. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -12*m + 4412. What is the least common multiple of 224 and y(-29)?\nAnswer: 19040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) be the third derivative of 7*c**6\/24 - 5*c**5\/12 - 2*c**2 + 12*c. Find the third derivative of g(q) wrt q.\nAnswer: 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*p - 5*p + 4. Let y(b) = -12*b + 14 + 4 + 18 - 8. List the prime factors of y(p).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -545 + 545 - 26*d.\nAnswer: -26*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-6*(-2179)\/8)\/(7*(-7)\/(-392))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -0.0486, 597, -7, 4 in descending order.\nAnswer: 597, 4, -0.0486, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2\/9 - (-87)\/(-27). Let z = -3 - x. Solve -4*i + z*i + 4 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 7 and 1687.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 16224 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -139*a**3 - a**2 + 310*a wrt a.\nAnswer: -834*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4 + -2. Let u(m) = m + 1. Let w be u(n). Suppose -3*k + 5*h + 46 = 0, 0*h + 56 = 2*k + w*h. Is k a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) be the first derivative of 0*n**5 - 90 + 0*n**3 - 23\/2*n**2 + 0*n + 0*n**4 - 11\/3*n**6. Find the second derivative of d(p) wrt p.\nAnswer: -440*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 73612616809\/92 - 800152272. Let o = 15133 + a. What is the common denominator of o and 85\/14?\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 46\/795 and -109\/1368.\nAnswer: 362520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 229, -9, 0 in decreasing order.\nAnswer: 229, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-451560)\/(-10335) + 360\/156.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 15 and 960?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 73517838.\nAnswer: 2, 3, 41, 298853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3797 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-two fifths of a century in decades?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand w**4 - 3*w**4 + 4*w**4 + (-5*w**2 + 2*w**2 + 4*w**2)*(0 + w**2 + 0) + (-2 + 1 + 0)*(w**3 + 0*w**3 - 8*w**3)*(1 - 1 - 2*w).\nAnswer: -11*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 140 and 2589?\nAnswer: 362460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*n + 2*r + 40603 = 11*n, -2*r = 4*n - 162442. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 36  (b) -54  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -402841\/1312864 + -7\/5861. Calculate the common denominator of 91\/64 and k.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.05387 * -0.04\nAnswer: -0.0021548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -7519 + 11323. Suppose 0 = -15*f + 13*f + 3*g + 3808, -g = -2*f + s. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3 and 57720.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -1290, -1266, -1242, -1218, -1194?\n\"Answer: 24*d - 1314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -4*w**3 + 1. Let d(s) = 3*s**3 - s. Let v(z) = 3*d(z) + 2*g(z). Let i(m) be the first derivative of v(m). Differentiate i(c) wrt c.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 394 minutes before 11:13 PM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -2 - -10 - (-5 + 5). Calculate the highest common divisor of 16 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3 - 364*h + 722*h - 2 - 361*h - 2*h**2 - h**4 as c*h**3 + r*h**4 + o*h**2 + n*h + a and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0009047676 rounded to 5 decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 6601830 to the power of 1\/3, to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (-34)\/4*-2*(-13 + 20)\/(-35)\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 32 and 5901680?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p + 4*h = 26, -3*h = 2*h + 5. Let s(y) = 77*y + 49. Is s(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 423 minutes before 11:43 AM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -227*f**2 + f. Let r(v) = v. Calculate j(r(i)).\nAnswer: -227*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1538 (base 14) to base 9.\nAnswer: 5153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = j**3 + 53*j**2 - 46*j + 427. Let w be v(-54). Suppose z + 0*z + 4*m + 19 = 0, -4*z = 5*m + 32. Put z, w, 2 in decreasing order.\nAnswer: 2, z, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (13*v + 13*v - 4 - 24*v)*(v - 2*v + 8*v).\nAnswer: 14*v**2 - 28*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 32031235.2 to the nearest 1000.\nAnswer: 32031000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 4159349?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 25209.\nAnswer: 3, 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 3\/5 of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*q**3 - 37*q**2*r + 2*q*r + 3*q + 3881*r with respect to q.\nAnswer: 6*q**2 - 74*q*r + 2*r + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -b**3 - 5*b**2 - 4*b + 1. Let p be g(-4). Let f = -5\/29 + -52\/203. Are f and p nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 5*u - 9. Let j = 4 - u. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*f**2 - 4*f**2 - f**2 + (2 - 3 + 3)*(1 - 1 + 2*f**2) - 9*f + 9*f - 47*f**2 + (-2 + 2*f - 15 + 0*f)*(-f - 4*f + 3*f) to a*f + l*f**2 + z and give a.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 502 and 428122?\nAnswer: 107458622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 150920 and 15631.\nAnswer: 4376680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 14*x**2 - 17*x - 17. Let t(j) = j**2 - j - 1. What is 6*h(b) - 102*t(b)?\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -222701 divided by 111.\nAnswer: -222701\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*l + l - 2*l)*(-l**2 + 3*l**2 + 0*l**2) + (-4*l + 14*l + 2*l)*(l**2 + l**2 + 2*l**2) - l**3 + 2*l**3 + 2*l**3.\nAnswer: 53*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4203 by 1.\nAnswer: 4203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 33\/1027580 and -43\/1660.\nAnswer: 85289140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (6\/(-9))\/(92\/184). What is the third biggest value in -0.22, w, -2.2?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -2\/297029 and 47.\nAnswer: 297029","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 490 + -481. Let f be 7*(-7)\/(-147)*c. Solve 0 = 2*v + f*j + 12, -4*j - 21 = 3*v - 4 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*c**2 - 3 - 3 - 7 + 2*c**2 + 19.\nAnswer: -3*c**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 851361\/8 smaller than 106420?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -8 + 2. Let n(g) = -2*g - 6. Let j be n(b). Let u = j - 3. Let p(r) = -r + 3. Give p(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*q - 4*c = -48, 15*q - 12 = 11*q + 8*q - c for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 631, 3, 2, 2684.\nAnswer: -1, 2, 3, 631, 2684","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(117)*3 + sqrt(117) + sqrt(117)*-2*6)\/(-5*(sqrt(9) - sqrt(36)\/sqrt(4)) - (sqrt(225)*-2 - sqrt(225) - sqrt(225))).\nAnswer: -7*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -z - 1. Let f be k(-5). Let l be ((-2)\/4)\/((-6)\/60). Suppose -4*x + 6*w = 2*w - 60, -l*x + 79 = -f*w. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -511, -652, -1005, -1666, -2731, -4296, -6457, -9310?\nAnswer: -12951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 94281*y - 94281*y - 2*y**2. Let u(x) = 22*x**2. Calculate u(z(k)).\nAnswer: 88*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) be the first derivative of -67*q**8\/1680 + 11*q**4\/3 + 145*q**3\/3 - 100. Let b(j) be the third derivative of n(j). Differentiate b(c) wrt c.\nAnswer: -268*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -7766603 + 6?\nAnswer: -7766597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4932937 is divided by 1865?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) be the first derivative of y**4\/4 - y**2\/2 + 7*y + 5. What is v(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u and 1 v when three letters picked without replacement from auuuvvasskkusuusvk?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-3)*t)\/t**6 assuming t is positive.\nAnswer: t**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 108 + -186. Does -78 = w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 12\/9 + 676924\/168. Let p = q - 4024. Calculate the common denominator of p and 121\/42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8bbb (base 14) to base 5.\nAnswer: 1234043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1 - -7. Let c be 2 - (-7 + r\/3). Let z be c\/(-18) - 3\/(-6). Which is smaller: z or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1585351483?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -31667 or -31670?\nAnswer: -31667","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -1\/8, -627, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h**(-10)*h*h*h*h)\/h)\/h*h**(-7))**(1\/2)*(h\/h**2)**(-16\/5)*(h*h**2)**(-6) assuming h is positive.\nAnswer: h**(-223\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h + 2*s = -5*h, 0 = 3*h + 4*s. Suppose 9*u - 11*u + 132 = h. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -16 - -2612?\nAnswer: 2563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -559 and -0.74?\nAnswer: 413.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = 3*z + 30. Let g be n(8). Suppose 3*h + 186 = 33. Let b = h + g. Solve -3*p - 16 = 4*o - 1, 0 = -b*p - 5*o - 15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-6)\/(m\/(m*m*m\/((m\/(m*m**(-1\/11)*m))\/m))*m))**(-5\/4) assuming m is positive.\nAnswer: m**(85\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(1\/4)\/(x*x*x\/(x\/x**6*x)*x))**(43\/2) assuming x is positive.\nAnswer: x**(-1333\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.33548 - -0.16452. Suppose 10 = -2*p - 5*o, 0*p + o - 52 = 5*p. Let n = 0.69 + 0.31. What is the closest to n in -0.4, p, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 7 + 2 + (0 + 3 - 5)*(2 - 5 + 2) + 6 + 22 + 4)*(6 - 2 - 2)*(2*f - 2*f - 3*f)*(-f**2 - 2 + 4 + 0*f**2).\nAnswer: 186*f**3 - 372*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from vvbvvvvv?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -44539*o**3*v**3 + 6*o**3*v - 2*v**3 - 3439*v - 19 wrt o?\nAnswer: -133617*o**2*v**3 + 18*o**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 10151908, 20303852, 30455808, 40607782, 50759780, 60911808, 71063872, 81215978?\n\"Answer: s**3 + 10151937*s - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/6)\/((210\/(-9))\/(-14))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 5 or -12.992144?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16974757?\nAnswer: 1447, 11731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -f + 11. Which is the closest to -3?  (a) 1\/5  (b) -3\/2  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 141\/70 and -38\/49.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1218969 is divided by 60948?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3 - 4. Put 4, 2, v in descending order.\nAnswer: 4, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) be the first derivative of a**6\/3 + 101*a**4\/4 - 173*a**3 + 425. Find the third derivative of l(c) wrt c.\nAnswer: 120*c**2 + 606","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 78, -11, 5\/3, -3\/4, -15?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -19*h - 13*h + 12*h. Let v(j) = -21*j**2 + 11*j**2 + 8*j**2. What is s(v(i))?\nAnswer: 40*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/6 in 2.4, -1\/9, 18\/11?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) be the first derivative of 1\/5*l**5 + 0*l**3 - l - 3*l**2 - 3*l**4 - 35. What is the second derivative of k(t) wrt t?\nAnswer: 12*t**2 - 72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-2\/13)*b**(1\/14))\/(b\/(b\/(b*b*b**(-7)))*b)**(19\/4) assuming b is positive.\nAnswer: b**(3443\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1.58 - -2.58. Sort 2, 2\/13, o, 202 in increasing order.\nAnswer: 2\/13, o, 2, 202","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 114, 0, 1.\nAnswer: 0, 1, 114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*b**5 - 153108408*b**2 + 31734*b - 825?\nAnswer: 40*b**3 - 306216816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j + a - 46 = 0, -4*j + 4*a + 41 = j. Let z(t) = -4*t**2 + 24*t + 9. Let p(k) = k**2 - 6*k - 2. What is j*p(u) + 2*z(u)?\nAnswer: u**2 - 6*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 9230?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*j**2 - 3*j**2 + 2*j**2 - 5*j**3 - 48*j**4 + 49*j**4 + 204*j**3 to f*j**2 + p*j**3 + s + y*j + x*j**4 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 55745*b**4 - 27896*b**4 - 80*b**3 - 27887*b**4 + b**5.\nAnswer: b**3*(b - 40)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*t = -8*t - 16 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5 * -140.\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -1. Let b(i) = -1. Let x(o) = 3*o + 13. Let w(f) = -5*b(f) + x(f). Let q(v) = -6 + 18 - 15 - 2*v - 9. Let g be q(3). Give g*l(h) - w(h).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 63 and 8625159?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 99208953 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: Let b = 1.212 - -1.888. Put 0.1, 4, -4\/3, b in decreasing order.\nAnswer: 4, b, 0.1, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vnnvtnvtvvvnvtnnvn. Give prob of picking 1 v and 1 t.\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -2*l - 2. Suppose 16 = -0*n - 4*n. Let m(v) = 3*v - 1. Let y(f) = -7*f + 2. Let z(i) = n*y(i) - 9*m(i). What is 3*w(r) + 5*z(r)?\nAnswer: -r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = k**2 + 4*k + 1 - 2 - 3. Let o be d(-7). What is the third derivative of -o*f**2 + 9*f**2 + 4*f**2 + 11*f**3 wrt f?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 1, f: 5, s: 1, m: 3, q: 1}. Give prob of sequence mpf.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -275, -592, -973, -1448, -2047, -2800, -3737?\nAnswer: -4888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 1, e: 1, b: 3}. Give prob of sequence be.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 153555 or 153554?\nAnswer: 153555","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yy when two letters picked without replacement from yyxyyii?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 87924 is divided by 1998.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h - 12 - 1 = 2*z, -4*h + 4*z = 4. Let w = -28.54 - -29.54. Sort w, h, -0.2, 4 in ascending order.\nAnswer: h, -0.2, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -7*o + 11*o. Suppose 0 = 5*i - 6*i + o. Find the second derivative of 7*m + 5*m**i - 7*m - 4*m wrt m.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 177*x = -260*x + 91*x - 4152 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -62 + 63. Which is the closest to -0.02?  (a) -1  (b) -5  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 73730 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -1601916114978 less than 45?\nAnswer: 1601916115023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/10, 1\/3, -0.1, -2\/7, -65\/6 in decreasing order.\nAnswer: 1\/3, -0.1, -2\/7, -3\/10, -65\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(-1\/16))**(-3)*(w*w**(-38))\/((w**(-1\/10)\/w*w)\/w*w))**(6\/23) assuming w is positive.\nAnswer: w**(-8811\/920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 17.3384 + -837.4724. Let x = 819 + y. Round x to one dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 20 - 10. Let g be ((-4)\/c)\/((-3)\/(-135)). Let r = g + 41. List the prime factors of r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2 + 0)\/(3\/(-12)). Let b(q) = -4 + 5*q + 0 - 2*q + y*q**2 + 0*q. Is b(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 113\/1134 and 23\/12042.\nAnswer: 252882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 6\/17?  (a) 0.4  (b) -10  (c) 1\/8  (d) -50\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1)\/(3\/(-6)) - 0. Solve -8 = -2*u - x, 5*u + 2*x = 5*x - m for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 435 < 439?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = 7*v**3 - 6*v**2 - 9*v. Let s(w) be the first derivative of -3*w**4\/4 + w**3 + 2*w**2 - 164. Determine -2*r(n) - 5*s(n).\nAnswer: n**3 - 3*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 5*p**2 + 3)*(16*p - 10*p - 7*p).\nAnswer: -5*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 60 - 45. Solve 2*k - g = -k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3*591\/153 - 168355\/15305\nAnswer: 10\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -99 (base 14) to base 5.\nAnswer: -1020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 2*g - 1. Let j(b) = -b**2 + 2*b. Let y be j(2). Suppose 0 = x - y - 1. Determine d(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + 3*d - 32 = 0. Suppose 0 = 22*g - 14*g + 42*g. Put d, 6, g in descending order.\nAnswer: d, 6, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in seventeen quarters of a gram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.4 + 0. Let g = 4409\/2 - 2320. Let b = -118 - g. Sort -5, b, p in ascending order.\nAnswer: -5, b, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*i**3 + 5*i**2 + 17*i - 4130 wrt i.\nAnswer: -6*i**2 + 10*i + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 21*c**2 - 4*c. Let o = -13 - -15. Let j(a) = 4*a**2 - a. Let m(n) = o*q(n) - 11*j(n). Find the second derivative of m(z) wrt z.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 52861404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 444*w - 279*w - 1650 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (4\/(-5))\/(2\/5). Let q be g\/((-3)\/60*2). Solve q = 5*m - m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -3379?\nAnswer: -3379","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 297 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 569, 113\/2, -2\/27?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -2*k. Calculate the remainder when 31 is divided by b(-8).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a = -a. Suppose a = -d - 0*d + 14. Suppose d = -2*b + 4*t, -t = -3*b + b - 8. Put 3, 5, b in descending order.\nAnswer: 5, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) be the second derivative of z**5\/20 - 17*z**4\/12 + 37*z**2\/2 - z + 8. What is the remainder when 142 is divided by k(17)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 56803 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2779 = -15*r - 2749. Factor 7\/3*u - 5\/3*u**r - 2\/3.\nAnswer: -(u - 1)*(5*u - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -34*m**2*t**6 + 5*m**2*t**2 + 5*m**2*t + 34766*t**6 - 1093*t**2 wrt t.\nAnswer: -4080*m**2*t**3 + 4171920*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-2 + 2)\/(0\/3 + -2). Suppose -33 = -5*u - x*m - m, 0 = -2*u - 4*m + 6. Solve 4*l - 4*j = -20, -l - j = j - u for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -88*f = -73*f - 105 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 256  (b) 17  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or 423\/1258?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 10150 and 58435?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (13 + -17)*(-1 + 0). Sort 5, m, 1, 3 in descending order.\nAnswer: 5, m, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -68 + 0.62.\nAnswer: -67.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -49, -47, -29, 11, 79, 181?\n\"Answer: b**3 + 2*b**2 - 11*b - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 21  (b) 1\/804  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cyycyyyycyy. Give prob of picking 2 c.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 117*v - 115*v + 2710. Let g = 7420 + v. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -11*y**2 + 2*y - 1. Let f be (2 + (-3)\/3)\/1. Let m be v(f). Let b be (-2)\/(12\/m - -1). Solve -b + 2 = -2*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t - 153 = 4*t - 90 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -143\/357843150 and -83\/132534500.\nAnswer: 3578431500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = c**2 + c - 3. Let h(i) be the second derivative of -i**4\/4 - i**3\/3 + 3*i**2 - 25*i + 2. Let t(a) = h(a) + 2*p(a). Let o(r) = -21*r. What is t(o(y))?\nAnswer: -441*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3 - -5) + -2 + -8 - -9.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -394633 to the nearest ten thousand.\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -d00 (base 15) to base 4\nAnswer: -231231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}