diff --git "a/data/dm_maths/full_data/2720_11255.jsonl" "b/data/dm_maths/full_data/2720_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/2720_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is prob of picking 2 p and 1 u when three letters picked without replacement from pttjpbtbbpjupppuut?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 564480?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 411, 428, 461, 516, 599, 716, 873, 1076?\nAnswer: 1331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4978 = -896*g + 5774 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -99460.\nAnswer: 39784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1080104 and 410?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + 11*m**2 - m + 15. Let d be n(11). Suppose -d*r - 5*r = -234. Calculate the highest common divisor of 65 and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -58 + 78. What is the least common multiple of c and 44?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -7 - c**3 - 90*c + 64*c + 40*c. Let a be z(4). Sort 0, 1, 3, a in increasing order.\nAnswer: a, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/(3*sqrt(44)))\/(sqrt(15)\/sqrt(3)*5*-5) + -3.\nAnswer: -3 - sqrt(2)\/150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 392 divided by 1.\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + (0 - 9\/(-3)). Does k = 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -219292022*d**2. Let n(g) = 2*g**2. Determine n(x(l)).\nAnswer: 96177981825696968*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/5)\/((-40)\/100). Suppose 0 = 5*v - t*s - 5, -3*v = s + s - 22. Calculate the smallest common multiple of v and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, 2, -3, 175 in decreasing order.\nAnswer: 175, 2, -1\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 31*u**2 - 26*u. Let j(s) = 11*s**2 - 9*s. Let w(f) = 17*j(f) - 6*x(f). Suppose 4*y + y - 10 = 0. Suppose 0 = v + 5 - y. What is w(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -242 = -3*x + 124. What are the prime factors of x?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d + 2. Let y be 6*(-6)\/(-9) + -2. Suppose -t + y + 0 = 0. Let b be a(t). Solve b = -4*h - 20 + 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*3\/300*-4.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3*z = 10, -u + 30 - 11 = 5*z. Let v(m) = -4 - 10*m + 3 + 0. What is v(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 1. Let g = 622562 + -622559. What is the closest to 0.3 in -1\/2, g, r, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, -73, -104, -131, -154, -173, -188?\nAnswer: -199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -81*l**2 - 2*l. Let k(o) be the third derivative of o**4\/24 - 196*o**2. What is k(v(h))?\nAnswer: -81*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2723\/(-2170) - (-518)\/370)\/(3\/(-2))?\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -2*r - 2*d - 4, -3*d = -3*r. Let s(l) = -25*l**3 + 3*l**2 - 3. What is the remainder when 174 is divided by s(r)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*n = -44, 2*n + 3*n - 22 = -b. Suppose 0 = -5*d - 2 + b. Suppose -5*y = -d*y - 8. Calculate the remainder when 21 is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = 6*g - 4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 79765 and 1075.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27*z**5 + 62*z**4 + 12528*z**2 wrt z?\nAnswer: 1620*z**2 + 1488*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 - z + 1. Let y be d(2). Let c(q) be the second derivative of q**4\/6 + q**3\/2 - 2*q**2 - q. Is c(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a**2 - 5*a**2 + 4*a**4)*(153 + 572 - 51).\nAnswer: 2696*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 111.3 - 12. Let m = 68 + 38. Let u = m - s. Round u to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z + 23. Let y be q(0). Suppose -1 = -2*h - y. Is 6 a factor of -2 + 0 - (-37 - h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-350)\/(-560)*(-2)\/5*-3*(-28)\/(-1617).\nAnswer: 1\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -80287, -80220, -80043, -79702, -79143, -78312, -77155?\n\"Answer: 9*n**3 + n**2 + n - 80298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 654 divided by -6.\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 e when two letters picked without replacement from {u: 3, n: 3, e: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 1163.3?\nAnswer: -5816.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 + 5)*(c + c - 4*c)*(-4 + 0 + 2 + 5 + 0 - 4 - 1 + 2 + 1 + (5 - 2 - 5)*(2 + 0 - 1) + 4 + 0 - 6 - 3 + 3 - 1) in the form l + t*c and give t.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -12*(20\/9 - 2)*30. Let s = -35 - l. Let m = 49 - s. Solve 24 = 5*y + m for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand i + 3*i - 6*i + (i - 50*i + 2*i)*(4 + 0 - 2) - 30*i + 15*i + 1 + 1.\nAnswer: -111*i + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -82.29085 rounded to two dps?\nAnswer: -82.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(4\/7))\/y**(-1))\/(y**(2\/7)\/y)**(-5)*(y**(3\/7)\/(y*y**(-1)*y))**(-5) assuming y is positive.\nAnswer: y**(13\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 3) + 34 + -22 + -20 + 42.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14669959?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2727847.\nAnswer: 2727847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 1\/8 (b) 29 (c) 345\/8 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/301 and 17\/68803?\nAnswer: 2958529","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/(-84)*-3)\/((-52)\/364).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**19\/(w**9*w)*(w\/((w**15\/w)\/w))**(-13\/7) assuming w is positive.\nAnswer: w**(219\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-24)*(-12)\/14.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2276 - 0.0264. Let i = -10704 + 10712.7112. Let j = i - h. Round j to 0 dps.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 2*r + 80 + 130, -3*x = 3*r - 105. Let b be (17\/(-15) - 1)\/((-24)\/x). Let 16\/9*o + 2\/9*o**2 + b = 0. What is o?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*y = -3*y + 28 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2.0677, 0.5, 0.3, 2\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 33?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*c*g*r + 2791*c*g + 5605*c*r - 8*g*r + 26282783 wrt c?\nAnswer: 7*g*r + 2791*g + 5605*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1781 - 1513?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5129 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 418 divide 5410763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13822 + 19470. What is the highest common factor of r and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*w**4 - 319*w**3 - 4*w**2 - 5356 with respect to w.\nAnswer: 8*w**3 - 957*w**2 - 8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n - 7*n + 117 - 137 - 15*n - 8*n in the form y*n + s and give y.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + i - 12, 0 = -i - 0*i. Suppose -2*y = j*y + 185. Let r = 55 + y. What is the remainder when 53 is divided by r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21196)\/(-2271) + (21901\/(-66))\/(-11).\nAnswer: 79\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3*f + 1 = -1, -4*f + 24 = 4*x. Which is the nearest to -1\/4? (a) 0.14 (b) x (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 365902 and 47918?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 1. Let d(y) be the third derivative of -97*y**5\/60 + y**3\/3 + 23*y**2 - 2*y. Let g(l) = -d(l) + 2*z(l). Let w(v) = v. Calculate w(g(u)).\nAnswer: 97*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 18 = 4*j - 6, 4*j - h - 24 = 0. Suppose -34 - 32 = -j*w. Solve w*b + 24 + 20 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 764*d = 1341*d - 779*d + 3434 for d.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -1. Let i = -150 + 53. Let s = i + 1064\/11. Which is bigger: s or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(0 + sqrt(1872) + sqrt(13)) + 3.\nAnswer: 3 + 52*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4305 (b) -4 (c) 1 (d) -0.16 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1795)\/(-6) + ((-68)\/4)\/102 is divided by 124.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eceeeceeec. Give prob of sequence ec.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 + 2*x. Let f(l) = 3*l - 3*l + l. Suppose 0 = -8*u + 17*u + 9. Determine u*s(b) + 2*f(b).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 3 - 6 = 0. Suppose g = -b + 7. Suppose h - 2*h = -2*y + 33, b*y + 2*h = 86. List the prime factors of y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooobbbbb. Give prob of sequence ob.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.871065 micrograms to kilograms.\nAnswer: 0.000000006871065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 6, u: 1, f: 3, z: 3, s: 1, t: 1}. Give prob of picking 1 t and 1 f.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 319719.8um?\nAnswer: 0.3197198","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-15) + 2*(-1)\/(-10).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -154061 divided by -380.\nAnswer: 154061\/380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**2 + 1150740*g + 46037600.\nAnswer: -5*(g - 230188)*(g + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 3*p + 37 = 0, 14*k - 15*k = 2*p + 3. Suppose 10*r = k*r + 20. Calculate the remainder when ((-12)\/(-3))\/((-1)\/(-1)) is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -5*j - 5, 15 = -0*j + 5*j - f. Let b = j - 2. Solve -3*l = b*a - 15, -l = -a - 3*a + 9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 95 - 1043\/11. Which is the fourth smallest value? (a) -1\/4 (b) -9 (c) w (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-5 + -1 + 11)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of w**3\/3 - 9*w**2 + 32*w - 219. Factor y(h).\nAnswer: (h - 16)*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 26231*t + 195. Is v(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -4*h + 33. Let i = -1997 + 2008. Calculate t(i).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 143 = -i + 32, -485 = -3*i - 5*d. What is the highest common factor of 66 and i?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(2\/17)*q*q\/(q**(-6\/5)\/q))\/(q**(4\/3)\/((q*q**8\/q)\/q*q*q)) assuming q is positive.\nAnswer: q**(3251\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-528)\/(-55) - (6\/(-15) - 0). Suppose 296 = -a*x + 12*x. What are the prime factors of x?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116512?\nAnswer: 2, 11, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-72 + 72 + 32*t**4)*(3 - 6 + 8).\nAnswer: 160*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.8 - 4.6. What is z rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of -2*g**6\/15 + 15*g**2\/2 + 5*g - 6. Let p(s) be the first derivative of u(s). What is the first derivative of p(q) wrt q?\nAnswer: -16*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 4 = -1246*j + 1247*j, 11*x - 25 = 2*j for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -2*s**4\/13 + 42*s**3\/13 + 172*s**2\/13 - 384*s - 5120\/13 = 0.\nAnswer: -10, -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - 1. Let g = 77.644 + -78. Let b = -0.044 + g. What is the nearest to 0.1 in c, b, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -423b9 (base 12) in base 14?\nAnswer: -239a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 574\/185 - -48\/37. Factor 1\/5*c**3 + t - 31\/5*c + 8\/5*c**2.\nAnswer: (c - 2)*(c - 1)*(c + 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seven quarters of a tonne?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 178782525 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2. Let d(w) = -3*w**2 - 11*w + 18. Let s(i) = -d(i) - 2*u(i). Let g be s(-13). What is the highest common divisor of g and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 8 = -5*u - 3, -5*f - 14 = 4*u. Let n(i) = 89410*i**3 - 3*i - 89409*i**3 + 2*i. Give n(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 352662 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 14 - (45 - (79 + -13))) + -1 + -108\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 6:45 AM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 901336.4mg in kilograms?\nAnswer: 0.9013364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -73.8148 and -0.388.\nAnswer: -74.2028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.19115um to millimeters.\nAnswer: 0.00519115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -4, 8, 12.1, 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 61.4 + -56. Let x = -5 + p. Which is the third smallest value? (a) x (b) 0.1 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**2 - 12*l + 9. What is the remainder when 62 is divided by t(7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 98*q**2 - 198*q**2 + 99*q**2 - 4 - 2*q. Let o(c) = -4*c**2 - 7*c - 13. Determine -7*n(v) + 2*o(v).\nAnswer: -v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 165\/(-22)*4\/5. Let s(c) = 140*c. Let k be s(v). Round k to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 149*k**2 + 137*k**2 - 653*k**3 + 131*k**2 + 126*k**2 - 543*k**2.\nAnswer: -653*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 7*u**3 - 5*u**2 + 7*u + 12. Let s(h) = h**3 + h + 1. Let f(q) = 6*s(q) - w(q). Suppose -26*x = -41*x + 75. What is f(x)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4627*g**5 - 261*g + 3?\nAnswer: -92540*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*d*f**3*g**3 - d*f - 14*d*g**3 - 4*f**3*g**2 - 183*f**3*g + f**3 wrt g?\nAnswer: 18*d*f**3*g - 84*d*g - 8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 464 in 5, 1, 6, 0.14, -0.3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -y - 0*y + 128, 2*y = -3*u + 253. Suppose y + 298 = 4*l. Let t = 160 - l. What is the highest common divisor of 11 and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*v + 40*v = -141, -14 = -4*o - 2*v for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 224137 and 5793730?\nAnswer: 307067690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, t: 5, f: 3}. What is prob of sequence tsf?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 + 16. Let t(s) = -2*s**2 - 31. Let b(q) = 7*n(q) + 3*t(q). Let c(k) = 19*k. Determine b(c(l)).\nAnswer: 361*l**2 + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -167*a**3*v**3*y**2 - a**3*v**2*y**2 - a**3*v**2 + 54*a**2*y - v**3*y wrt y.\nAnswer: -334*a**3*v**3 - 2*a**3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7857799 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1284 + -1272. What is the remainder when 3118 is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c + 2267. Is z(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 419574317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n - 3*n + 5*n)*(3*n + n - 2*n)*(-14*n**2 - 15*n**2 + 9*n**2).\nAnswer: 120*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 856 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one fifth of a kilometer?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6763129 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3814473 and 282.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 556267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -29999, -3\/7, -4 in decreasing order.\nAnswer: 5, -3\/7, -3, -4, -29999","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*f**2 + 79858*f - 6534996 = 0. What is f?\nAnswer: -20046, 163\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 117822725 and 284?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 + -7. Let t = -36 + 59. Calculate the remainder when t is divided by 268\/d + (-8)\/44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -65527 or -65529?\nAnswer: -65527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68.71266 decades to centuries.\nAnswer: 6.871266","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -84, -44, 58, 252, 568, 1036?\nAnswer: 1686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.167 - -1.507. What is y rounded to one decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aab when three letters picked without replacement from {b: 3, a: 4, d: 11}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4 + (sqrt(567) - (sqrt(567) + -1)) - sqrt(567))*6 - (1*-2*sqrt(567)*-3*-5)**2.\nAnswer: -510210 - 162*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4\/3*-3*4\/72\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 112 and 153466?\nAnswer: 8594096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that c**2 + 102*c - 14560 = 0.\nAnswer: -182, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -835 * 114242\nAnswer: -95392070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.9698 + -0.0502. Let x = j - -2.02. What is the nearest to 1 in x, -0.4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.85 plus 150125759514?\nAnswer: 150125759511.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 + 5*g - 23)*(2*g**4 - g**4 + g**4) + (0*g**5 + g**5 - 3*g**5)*(-3 + 1 - 2).\nAnswer: 18*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(24)\/sqrt(8) + -3 + -6*(5*sqrt(147) - sqrt(3)))**2.\nAnswer: 1242*sqrt(3) + 128556","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2057022 is divided by 298.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -49484 (base 12) to base 15\nAnswer: -1e5b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -7*q + 7. Let d = -18 - -23. Let u be (5\/(-1))\/d - 5. What are the prime factors of a(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 129\/15 + 575\/(-125)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.028 - -44.972. Let i = y + -45.00082. What is i rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 0*y + 14 = -2*f, -2*y = -5*f - 3. Let a(l) = -l**3 + 2*l**2 + l. Let o be a(y). Let m = o + 59. Solve x + 3*x = 3*k + 25, -5*k - m = -4*x for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6, -7, -12, -21, -34?\n\"Answer: -2*v**2 + 5*v - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/((-2)\/(-4)) - -1. Suppose 0 = -c*s + 307 + 128. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**3*n)\/(n\/(n*n**(3\/4)))*(n\/(n*n*n\/n**1*n))\/n**(-3\/7))**(-1\/7) assuming n is positive.\nAnswer: n**(-89\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, 3.3, -6, -0.1, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -291 + 275. Let a be 8\/g + (-30)\/(-28). Suppose 0*c + 4\/7*c**2 - a = 0. Calculate c.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 8:21 PM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.12 - -1.88. Let d = 0 + n. Let j = 3 - 0. Which is the smallest value? (a) 0 (b) j (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 j, and 2 b when four letters picked without replacement from {b: 7, m: 3, v: 5, j: 2}?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11022202 - 122320?\nAnswer: -11211122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3102344*0.3.\nAnswer: 930703.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1)\/(((z**(-3\/5)*z*z)\/z)\/z)*z*z*z**(1\/6)*z*z*z**(2\/3))**(2\/11) assuming z is positive.\nAnswer: z**(133\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 239 divide 20076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1028635 times 0.9\nAnswer: -925771.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7)\/(-2)*-2 + 3\/3. Let a(i) = i**2 + 8*i + 5. Calculate a(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 4*l + 486, -78 = -g - 4*l - 0*l. Suppose 2*u - 24 = u. Calculate the remainder when g is divided by u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2612*s**4 + 1566*s**2 + s - 2113947.\nAnswer: -10448*s**3 + 3132*s + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8.1, -4, -5\/47, -10\/3?\nAnswer: -5\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6573 - 6241 = 83*z. Let d(c) = -2*c**2 + c - 2. Let l(v) = 3*v**2 - v + 3. Suppose 0 = x - 3*f - 15, -4 = -4*x - 0*f - 2*f. Calculate x*l(o) + z*d(o).\nAnswer: o**2 + o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**3 + 65*g**2 + 5*g - 65.\nAnswer: -5*(g - 13)*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/(-6)*(-12 - -9). Let d = 54939\/13390 - 4\/1339. Calculate the common denominator of d and a + 16\/(-60)*6.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 995 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148122 + 7921 = -47*g. List the prime factors of g.\nAnswer: 19, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 1 - 24*b - 12*b - 9*b + 31*b.\nAnswer: -14*b + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 6:03 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - (-2 + (-2)\/7). Factor 2\/7*v - d - 2\/7*v**3 + 2\/7*v**2.\nAnswer: -2*(v - 1)**2*(v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.3013, 5 in ascending order.\nAnswer: -0.3013, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of 27*i**4\/4 - 43*i**3\/3 - 85. What is the third derivative of c(j) wrt j?\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, p: 6, n: 3, v: 5}. What is prob of picking 2 y and 2 v?\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-66)*(-163)\/(7172\/(-264)).\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 31450 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 11) to base 5\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 3*w + 27, -11*p + 16*p - 14*w = 31. Which is the nearest to -1? (a) p (b) 123 (c) -2\/19 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 289 is divided by 71?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(40) + sqrt(40) + sqrt(40) + (2*sqrt(480) - sqrt(480) - sqrt(480))\/sqrt(12) + (-1*sqrt(280))\/sqrt(7))\/((3*sqrt(288))\/sqrt(4)))**2.\nAnswer: 20\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 66.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-2 + (6 - 2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 36*l**4 - 64*l**2 + 2*l wrt l?\nAnswer: 864*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2707.361 + -2697. What is v rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -470 - -475. Suppose -535 = -a*w - 4*g + 3857, 5*g = -4*w + 3519. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1744247 + 34910691\/20. Let a = o - 1287. Find the common denominator of ((-27)\/24)\/((-3)\/(-42)) and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3190 and 900?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + -3)*-1*-5. Let c = z + 3. Does c = -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 21414460.\nAnswer: 2141446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 79 divided by -79412?\nAnswer: -79\/79412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.5 + -0.7. Let j = 114 + -109.93. Let z = -0.07 + j. Put -2\/3, z, u in descending order.\nAnswer: z, u, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10\/7 - 1\/14. Let l = -1 + 4. What is the nearest to 1 in l, -0.3, z?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2*l + 2 + 13 = 0, -2*m + 3*l + 30 = 0. Let y = -5 + m. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**2 + 64*z + 29. Let j be p(-27). Let x = j - -241. Solve -5*o - 50 = 5*b, -2*o + 0*o + 4*b + 10 = x for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -121222 (base 3) in base 2?\nAnswer: -111001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -4 (c) -6 (d) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkvvvvvk. Give prob of sequence kk.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -70 - 3*i**2 + 0*i + 0*i + 76 - i - 2*i to s*i**2 + j*i + v and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 346 divided by -4\nAnswer: -173\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 8) to base 6\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2368399954 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -13 - 16 + 29*w**2 + 29. Let a(d) = -d. Give a(s(u)).\nAnswer: -29*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 3. Let i = z + 4. Put 4\/5, -5, i in decreasing order.\nAnswer: i, 4\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q**2. Let d(z) = -423*z - 10. Let s(c) = 846*c + 18. Let g(h) = 7*d(h) + 4*s(h). What is r(g(p))?\nAnswer: -357858*p**2 - 3384*p - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g - 1. Let w be 14\/(-3) - (-1)\/(-3). Let c be a(w). What is h in 4*h**2 + 2*h**c - 4*h**2 = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 440*y**4 - 5*y**3 - 225*y + 384920043?\nAnswer: 1760*y**3 - 15*y**2 - 225","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 11:38 PM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21002 + 36655. What is the hundreds digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 4*q + 1. Let g be 12\/36 + 14\/(-6). What is z(g)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35.195 plus -13975?\nAnswer: -14010.195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*v**2 + 16*v**2 + 6*v**2)*(v**2 + 0*v**2 - 3*v**2) + 7*v - 11*v**4 - 7*v.\nAnswer: 7*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*c**3 + 2*c**2 + 35*c**3 + 57*c**3 - 46*c**3 to the form q*c**3 + w*c**2 + b + v*c and give q.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 69, 134, 305, 636, 1181, 1994?\n\"Answer: 9*d**3 - d**2 + 5*d + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**3 + 9*r**3 + r**3 + (1 - 1 + r**2)*(0 + r + 0) + 2*r**3 + 2*r - 2*r.\nAnswer: 10*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + s = k + 2, -3*k = -4*s + 1. Let i be k\/(6\/(-15))*1. What is the second biggest value in i, 2\/13, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345310 (base 6) in base 14?\nAnswer: ab7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g - 5. Let y be k(-4). Factor 0 + 0 + 0*a**3 + 2*a**2 - 2*a**y.\nAnswer: -2*a**2*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000001000010010 + -11100011110110?\nAnswer: -1011101100001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -79\/208 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-21)\/14700)\/(-1 - 1). Is k less than or equal to -0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20.36 - -0.36. Let y = r + 16. Which is the third smallest value? (a) y (b) -6 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 - -33 - (1 + 15)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -34021?\nAnswer: -34024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 8:01 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 0 + 2 - 1 - 4. Let n(i) = 0*i + i - 4 - 2*i. What is -2*n(t) + 3*r(t)?\nAnswer: 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1286.2 decades in months?\nAnswer: 154344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f\/((f**(-2\/3)\/f)\/f*f))*(f*f*f**(2\/7)*f*f)\/f*(f\/f**(-12))\/(f\/((f\/(f*f**(-8)\/f))\/f)*f) assuming f is positive.\nAnswer: f**(433\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of 121*j**5\/90 - 11*j**4\/9 + 4*j**3\/9 - 4*j**2. Factor n(a).\nAnswer: 2*(11*a - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34367 divided by 34367?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mlwmwytt. What is prob of picking 1 t, 1 m, 1 y, and 1 w?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**0\/y)\/y**(2\/17))**(-32) assuming y is positive.\nAnswer: y**(608\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.6 + 129.4. Let z = x + -136.1. Sort z, -4\/5, 0.5 in decreasing order.\nAnswer: 0.5, z, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j - 5*j - j**2)*(-1 + 3 + 1 - 30 + 74 - 38 + (0 - 2 + 4)*(1 + 3 - 5)) - 12 + 10*j**2 + 12.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 8\/5, 3, 4, -8, -4, -42, 73 in descending order.\nAnswer: 73, 4, 3, 8\/5, -4, -8, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54128*c**2 + 27172*c**2 + 26953*c**2.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/3*-1)\/((-35)\/((-385)\/22)). Let b(z) = z**3 + 4*z**2 + 3*z + 3. Let q be b(-3). Is q at most as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 11.69 and 4137071388.\nAnswer: 4137071399.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*f + 10 - 10)*((-3 + 3 - 2)*(-3 + 3 - f) + 1 + 2*f - 1 + f + 0 + 0).\nAnswer: 80*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-54 - (-15 + -10)) + 13.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*((o*o\/(o*o**(-3\/4)))\/o)\/o)**(-49)*(o**28\/o)\/(o*o**12))**(-4\/7) assuming o is positive.\nAnswer: o**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*u**2 - u**2 + 5*u**4 + 3*u**2 - 4*u**4 - 7 to k*u + i*u**2 + z + w*u**3 + j*u**4 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 1:12 PM?\nAnswer: 1:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -25*l**2 - 36*l + 13. Let p(o) = -6*o**2 - 8*o + 3. Let d(s) = 13*p(s) - 3*q(s). Let y(i) = -11*i. What is y(d(f))?\nAnswer: 33*f**2 - 44*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.1292 + 4\nAnswer: 4.1292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**7)**9*((x\/(x**(-7)*x))\/x)**15 assuming x is positive.\nAnswer: x**162","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6243504 and 156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of -p**3\/2 - 7*p - 2. Let n(b) = -21*b. What is a(n(s))?\nAnswer: 63*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/2)\/((-6)\/16). Let w = 18 - j. Calculate the least common multiple of 36 and w.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1212220121202 - -220?\nAnswer: -1212220120212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*o + 767 = 367 for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -4. What are the prime factors of 2 + 132\/16 - j\/4?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(171)*6 + (sqrt(171)*1 + sqrt(171))*2)\/(sqrt(27)\/(sqrt(6)\/sqrt(2)) + sqrt(9) - -3*sqrt(324)).\nAnswer: -sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 + 0 + 0)*((2 - 1 - 3)*(4*i + 5*i - 4*i) + i + 1 - 1)*(0 - 1 - 3)*(-i**2 + 2*i**2 + 0*i**2).\nAnswer: -72*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 989*c**3*s - 105116*c + 239181338*s wrt c?\nAnswer: 2967*c**2*s - 105116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p + 44. Let g(t) = -35*t + 2707. Let v(d) = -5*a(d) - g(d). What is the first derivative of v(r) wrt r?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28574.\nAnswer: 2, 7, 13, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21280 and 418?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 98417 a multiple of 389?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/2620059 and -97\/4.\nAnswer: 10480236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19871226.\nAnswer: 2, 3, 19, 97, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -13 (b) -1\/4 (c) -0.02 (d) -0.2 (e) 122 (f) 37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(5\/2)\/j)**(13\/2) assuming j is positive.\nAnswer: j**(39\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/27 or -6?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f + 4. Let p be 2\/(-2 + 4) - -1. Suppose -16*h - h = -4*h - 26. Suppose 0 = 3*r - h*x - 0*x + 6, p*r - 2*x = -6. What is u(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + 2 + 4 + 12 + -123.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17005 and 2998966?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103271649.\nAnswer: 3, 13, 683, 3877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -523, -1176, -2047, -3136, -4443, -5968?\n\"Answer: -109*g**2 - 326*g - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + 4*c - 1. Let b be h(1). Suppose b*r + 4 = 3*r. Suppose 4*u - 5*u - 3*y = -8, 5*u - r*y = 21. What is the least common multiple of 10 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11211 (base 4) to base 2.\nAnswer: 101100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -837961.084 to the nearest ten thousand.\nAnswer: -840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 5*t + 36 = 0, 0 = -v - 2*v - 6*t + 27. Let b(l) = -l**3 + 7*l**2 + 7*l + 4. Let p be b(8). Which is bigger: p or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (22\/63 - 24\/108) + (-2)\/9?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 8*s - 5. Let n(l) = -7*l + 6. Let a(z) = -6*g(z) - 7*n(z). Let v(x) = -2 + 3 + 2. What is 2*a(o) + 9*v(o)?\nAnswer: 2*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**5 + 3*k**5 - k**5 + k**2 + 2*k**5 - k**2 + (0*k - 5*k + 4*k)*(2*k**4 - k**4 + 0*k**4) + 2 - k**5 - 2 + 0*k**5 + 3*k**5 + 0*k**5.\nAnswer: 5*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -40, -48, -46, -28, 12, 80, 182, 324?\n\"Answer: p**3 - p**2 - 12*p - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 535343 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 2*n - 2*n + 18, 2*s + 3*n = 5. Let h be (1\/s)\/(2\/(-680)). What is h rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10.314 - -122.314. Which is the third smallest value? (a) d (b) 1\/3 (c) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-6)\/(-45) - 1582\/(-420) and 137*((-5)\/(-6) - 1).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -26 - z - 37*z**2 + 42 - 20 + 4 in the form p + h*z**2 + a*z and give h.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 251818560?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1231233131 (base 4) to base 16\nAnswer: 6dbdd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of 2 + 3\/2*l**2 - 2\/3*l**3 + 34*l. Let g(s) = 3*s**2. Determine b(g(y)).\nAnswer: -12*y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(1458) + 2*sqrt(1458) + sqrt(216)\/(-2*sqrt(12)))\/(-1*sqrt(144)*-1).\nAnswer: 1 + 53*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 117 - (13 + -44) - 85.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 2*f + 3*j, -f + 4*j + 32 = 4*f. Suppose 45 = 3*a - 0*a. What is the remainder when a is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -4*d**4 + 92*d**3 + 648*d**2 + 1360*d + 928 = 0.\nAnswer: -2, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (3\/(-4))\/((-78)\/416 + 0\/(-3)) and 2230?\nAnswer: 4460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r**3 - 68*r**2\/3 + 64*r\/3 - 20\/3 = 0. What is r?\nAnswer: 5\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 1. Find the common denominator of (m\/(-3))\/((-12)\/297) and -17\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1053200 rounded to the nearest ten thousand?\nAnswer: 1050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1267 in -1, 1, 2\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 47 + -47.054. Let c = -0.05326 - j. Round c to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52097824 divided by -4?\nAnswer: -13024456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2592208, -2592192, -2592166, -2592130, -2592084, -2592028, -2591962?\n\"Answer: 5*t**2 + t - 2592214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**3 + 4*p**2 + 4*p + 2. Suppose 0 = 4*o - 2 + 10. Let c be u(o). Let s = c - -75. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2953820?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 4*o + 3*k, -11 = -4*o - 2*k + 9. Find the first derivative of -23*g - o + 11 + 14 - 41 wrt g.\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*q - 11. Suppose 0 = n + 4*g - 7 + 3, -n + 2*g - 8 = 0. Let x = n - q. What is the least common multiple of x and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.2754149 kilograms?\nAnswer: 275414900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -20 - -5?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (16\/(-12))\/((-56)\/24*2). Sort -3, -1\/3, a, 3\/7 in decreasing order.\nAnswer: 3\/7, a, -1\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 99533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 207 - 217. Let y(i) = i**2 - 1 + 1 - 3 + 10*i. Let o be y(r). Which is the closest to -3\/7? (a) -0.2 (b) o (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(4\/5) - (-3)\/2. Solve m = -v - 3*v - 3, b*v - 3*m + 23 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3\/2 + 9*h**2\/2 - 15867*h\/2 - 460401\/2.\nAnswer: 3*(h - 83)*(h + 43)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 203*n - 6928 = -4*n - 139*n - 18000 for n.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*b**2 - 826*b**4 - 62*b + 820*b**4 - b**2 to the form a*b**2 + u*b + n*b**4 + l + v*b**3 and give u.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z + 20. Let s be g(-9). Suppose -2*x = -s*c - 0*c + 158, -2*c + 128 = 4*x. Let t = 48 + c. List the prime factors of t.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 740\/2368*(-1)\/(-5)*3. Which is smaller: -3 or r?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2030379636?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 12:19 AM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 402311 (base 5) to base 6\nAnswer: 135223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of 3*k**2\/2 - 124. Let v(n) = -n. Let z(s) = -10*s. Let p(h) = 4*v(h) - z(h). Give j(p(l)).\nAnswer: 18*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 8*v**2 - 3. Let y(c) = 15*c**2 + c - 5. Let j(q) = -11*d(q) + 6*y(q). Calculate j(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 35*c**2 + c - 8. Suppose 4*d = 11*k - 6*k - 31, 5*k - 23 = 2*d. What is the hundreds digit of g(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9979, -9996, -10013, -10030, -10047, -10064?\nAnswer: -10081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 48723*x**5 + 45902*x wrt x.\nAnswer: 974460*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 1) + -2 + 1 - 3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-5\/2)\/a**10)**(-6\/5))**(-2\/103) assuming a is positive.\nAnswer: a**(-30\/103)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 937 + -889. Which is the second smallest value? (a) 1\/2 (b) 0.2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 divided by -53?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 2 - 14 = 0. Solve -5 = -r + 5*k, -s*r - r + 2*k - 21 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + 40*a**2 + 72*a - 140. Let y be t(-38). Solve -4*c - y = 2*q, c - 3 = -q - 8 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1*sqrt(130) + sqrt(130)) - sqrt(130) - (-3*sqrt(130)*1 + sqrt(130)))\/((sqrt(10) - sqrt(90))*-3*6).\nAnswer: -sqrt(13)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/4)\/(1\/(-16)). Let o(f) = 7*f + 13*f**2 - p*f - 9 + 4*f. Is o(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/6168 and -47\/22.\nAnswer: 67848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*y**3 - y - 3*y**3 + 5*y**2 - 2*y**4 + 3*y - 4*y**2 to the form a*y**4 + f*y**3 + x*y + m*y**2 + v and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.064 + 0.036. Which is smaller: r or 0.29?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4119952 is divided by 507.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 2*i - 2*v = 6, -11 = -i - 3*v. Let x be (-1 - -4)\/(6\/i). Is 18 a factor of 9*(x\/(-1) - -4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 5*p - 28 = 0, 10*h + 2*p - 13 = 7*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 264520297?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37154?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1375992793.\nAnswer: 7, 251, 783149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 1692?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 304844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.89 + -1.42. Let h = g + 14.73. Let s = h - 16. What is the biggest value in -2\/7, 0.3, s?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/4 (b) -0.11 (c) -65\/2 (d) -5 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -4. Let q = -2.9 - 0. Let p = 3 + q. Which is smaller: o or p?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -6, -1, 1, 3 in decreasing order.\nAnswer: 7, 3, 1, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 155\/204 and 62\/31569.\nAnswer: 126276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-101)\/(-101)*(4\/(-8))\/((-1)\/14)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.1051 - -0.0649. Round l to zero decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**3 - 4*w**2 + 5*w - 4. Calculate h(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 4 (b) 3\/7 (c) -0.02 (d) 0.2 (e) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -87 + (-102 - -150) - -135?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((0\/(-5))\/((-2)\/2))\/(-2). Let s(h) be the third derivative of -7*h**2 + 0*h**4 + 2\/735*h**7 + 1\/210*h**6 + q + 0*h**3 + 0*h**5 + 0*h. Factor s(y).\nAnswer: 4*y**3*(y + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1655730\/13 or -127364?\nAnswer: -1655730\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -70*r - 167.\nAnswer: -70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 + 0)*(-4*u + 4*u - u) + 2 + u - 2 + (3 - 2*u - 3)*(2 + 2 - 2) - 23*u + 6388 - 6388 in the form y*u + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-1*sqrt(114))\/(sqrt(6) - (-1*sqrt(66))\/sqrt(11)).\nAnswer: -sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-352)\/36 + 10)\/((119\/945)\/17). Let h be 326\/(2\/1) + 2. Calculate the highest common factor of h and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(2\/7)*b*b*(b\/(b\/b**(2\/7)))\/b*b**(1\/3)*b*(b\/b**(3\/4))\/b*b*b assuming b is positive.\nAnswer: b**(349\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of -260 - 30*n - 1\/3*n**3 - 8*n**2. What is k(-13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5185705095 less than 0.5?\nAnswer: -5185705094.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.6 + -5. Let s = 82.7 + -82. Let a = 91 - 91.5. What is the third smallest value in a, m, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10876)\/(-17)*-42 - 582\/(-4947). Are -26871 and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*c**5 + 542*c**3 - 5102*c**2.\nAnswer: 360*c**2 + 3252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q**3 + 23562390*q**2 + 47124771*q\/2 + 5890596 = 0.\nAnswer: -3927064, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 y when four letters picked without replacement from {a: 6, x: 2, h: 2, c: 1, k: 3, y: 4}.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3\/((-24)\/(-85498)) + 279\/(-1116)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -86\/95 + -5143\/1140. Let k = r + 391\/36. What is the common denominator of 83\/6 and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 times 16.207\nAnswer: -145.863","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (1*((sqrt(176) - (sqrt(176) + 1)) + sqrt(176)) - sqrt(176))*4 - ((sqrt(176) + 0 + sqrt(176))*-3*1 + -4)) + 3)**2.\nAnswer: 192*sqrt(11) + 6352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -575*v - 433. Let b(l) = l. Determine b(r(q)).\nAnswer: -575*q - 433","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9013401 tonnes to micrograms.\nAnswer: 901340100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14748328 by -223.\nAnswer: -66136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 170, -0.5, -2\/7, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 1501.\nAnswer: 12008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 7*i**2 + 9*i + 2. Let c(y) = -y**3 + 2*y**2 - y - 2. Let b be c(2). Does 26 divide w(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 4*l**3 - 5*l**2 - 9. Let r(h) = h**3 - h**2 - 2. Let g(z) = -2*n(z) + 9*r(z). Factor g(c).\nAnswer: c**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 7:13 AM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o**3 + 78390*o**2 + 78405*o - 156790 = 0.\nAnswer: -2, 1, 15679","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.4, 2\/279, 2, 41, -1\/8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - b + 2*b + 0*b + (-87 + 56*b - 111*b + 53*b)*(-1 - 1 + 0 - 3 + 1 + 3 + 0 - 1 - 1 + (-3 + 2 + 0)*(-3 + 5 + 0) + 2 + 1 + 7).\nAnswer: -9*b - 437","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*u - 70971 + 10541. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by 273.\nAnswer: -3\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 658140 and 25760.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 365 + 974. What are the prime factors of y?\nAnswer: 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (76\/12)\/(-19)*-1*(-12)\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1712 a factor of 159548128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -58*p**4 + 246*p**4 - 57*p**4 + (p**3 + 4*p**3 - 4*p**3)*(2*p + 0 + 0).\nAnswer: 133*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d*h**3 - 32*d*h**2*n - d*h**2 - 7*h**4 + 92*h**3*n + 2*h**2*n + h - 3*n wrt h.\nAnswer: 12*d - 168*h + 552*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 less than 23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 0)*-30*-6. Suppose 0 = 3*a + 10 - 25. Suppose 60 = 2*h - 9*z + a*z, 2*z - 70 = -4*h. Calculate the greatest common factor of h and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f - 3. Suppose -2*h + 3*r = 3*h - 44, -4*h + 2*r + 36 = 0. Suppose -3*m + h - 34 = -4*o, -14 = 2*o + 5*m. Suppose 4*n + o - 11 = 0. Give v(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmkmkkmmkmkmkmk. What is prob of sequence mkmk?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5ce9a - -329?\nAnswer: -5cb71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 48 - 36. What is the tens digit of 388\/6 + 4\/q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 24*a + 12. Calculate k(-2).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 9, -1 in descending order.\nAnswer: 9, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus 27201231833.4?\nAnswer: -27201231837.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4\/7 (b) -0.29 (c) -1\/17 (d) -1 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -2*l - 12. What is the remainder when 23 is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a micrometer in nanometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-4 + (6 - (7 - 4)) - -12)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) 4\/5 (c) 2.75939\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -5*d + 2*d**2 + d**3 + 17 + 8*d**2 + 0*d**3. What is the units digit of r(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 52 - 9 = 6*d + 33, 2*d + 20 = g for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 585 - 585 + 6*w.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5330410 and 5330410?\nAnswer: 5330410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.322 less than -2\/9447?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b**3 - 8530*b**2 + 25521*b**2 - b**3 - 8501*b**2 - 8512*b**2.\nAnswer: 2*b**3 - 22*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 405876750763 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16905804 is divided by 293.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-4\/7)*z**3*(z**(-17))**(-2\/29))**16 assuming z is positive.\nAnswer: z**(18656\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 + -10. Suppose 6*h = 3*h - 9. Let k = u - h. Solve -k = 3*z + 9 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*z + 114*z + 5*x - 29 = 253*z, -4*z = -10*x + 15 + 13 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.7 + 3.2. Sort -1, -4, g, 5.\nAnswer: -4, -1, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0435 plus -0.07149?\nAnswer: -0.11499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 77, 106, 127, 134, 121, 82, 11, -98?\nAnswer: -251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2816*n**3 - 15898*n**3 - 5325*n**3.\nAnswer: -18407*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -195*f + 8059. Let n be h(41). Solve 5*i = -25, 4*i - 47 + n = -3*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2\/4 + 2691*y - 1647135\/4.\nAnswer: 3*(y - 147)*(y + 3735)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-52)*(-15)\/((-15)\/(-2)). Let 2\/13*l + d*l**2 + 0 = 0. What is l?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 - 25*b - 45. Is i(-19) a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/14)\/((-78)\/(-91))\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -35495*t - 107163. Give b(-3).\nAnswer: -678","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 4*b - 52. What is j(14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)*-2*4)\/(-2*sqrt(726)).\nAnswer: 4*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 29867409 and 7791498?\nAnswer: 179204454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 11. Let f be (y - (1 + -3))\/2. Does -2\/57 = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 381 and 32520?\nAnswer: 4130040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 2*u + 4 = u, -3*f = -u - 4. Suppose 0*l = -2*l. Suppose -3*h - 1 + 31 = 4*v, l = -5*v. Solve h + f = 5*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 10 - 6. Suppose -h = -5*h + 16. Suppose -h*t = v + a*v - 317, -5*t + 370 = v. Is t a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -51, 8, 4495?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 115259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of -u**9\/5040 + u**7\/420 - u**5\/40 + 7*u**4\/12 - 5*u. Let j(w) be the third derivative of q(w). Factor j(g).\nAnswer: -3*(g - 1)**2*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p - q - 6 - 2, 9 = 5*p + 3*q for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 775919 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + 2 + 1*sqrt(612) - (-6*(sqrt(17) + sqrt(68)\/sqrt(4)) + 4))**2.\nAnswer: -84*sqrt(17) + 7501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10330 (base 5) in base 2?\nAnswer: -1011001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (28\/(-13) - -6) + 6\/39. Suppose u*h = 738 - 94. List the prime factors of h.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.82567902 rounded to 2 dps?\nAnswer: 1.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**5\/3 + 822*p**4 + 4940*p**3\/3 = 0. What is p?\nAnswer: -2, 0, 1235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbbbbdtbbbbbbbbbb. What is prob of sequence tb?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 9 * 626\nAnswer: 5634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1389?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 58004987 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/12 - 3\/(-4). What is the biggest value in 1, m, 3, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 43\/140 in -2\/13, 5, 1\/133?\nAnswer: 1\/133","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 22\/(-44)*(-4 - 0). What is the remainder when 34 is divided by (-6)\/r + (-23 + 5)\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 - -23. Let l = -6 + x. Suppose 5*b - 25 = -0*b, l*g = -b - 15. Sort g, 1, -1 in increasing order.\nAnswer: g, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/63 and -83\/441.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - 1. Let u(m) = -14*m**2 + 3*m + 5. What is 5*r(w) + u(w)?\nAnswer: -9*w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -128 - -187. Calculate the remainder when g is divided by 23.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9215.802 millennia to years.\nAnswer: 9215802","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 390 divided by -317\nAnswer: -390\/317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2810 - 593?\nAnswer: -3403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**(-31)\/v)*(v\/(v*v*v*v**34\/v*v))\/v)\/(v**(-20)\/(v*v**(-35)*v)))**(-17) assuming v is positive.\nAnswer: v**289","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*s = -9*s - 81. Factor 2*x**5 - 7\/2*x**4 + 0*x + 0 + 1\/2*x**2 + x**s.\nAnswer: x**2*(x - 1)**2*(4*x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15608642 divided by -87689?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/9*(-5 - -2). Suppose -4*v - 32 = 12*v. Put 9, -10, h, v in descending order.\nAnswer: 9, h, v, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, e: 2, x: 15}. What is prob of sequence nx?\nAnswer: 9\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 21*k + 546. Determine q(-26).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 118704 and 27628356?\nAnswer: 110513424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52748 divided by 13187.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + 3\/((-3)\/(-4)). Suppose -5*r - 110 = 5*s, 3*r + o*s + 88 = 22. Let i be r\/(-5) - (-4)\/(-10). Solve -f - i = 3*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -19*b**2. Let r(f) be the third derivative of f**5\/3 + 9*f**2 + 2. Determine r(m(d)).\nAnswer: 7220*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5649 + -5390. Put 4, d, -3 in descending order.\nAnswer: d, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43 (base 6) to base 5.\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1479000 to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -283*x**3 + 58114*x**4 - 477*x**3 - 58115*x**4 + (0*x**3 + 0*x**3 - 2*x**3)*(1 - 3*x - 1) in the form c*x + m*x**3 + s*x**4 + y + l*x**2 and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4708177 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 3, 0, -408, 0.3, -0.8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -4*f**2 - 32*f - 1. Let m(n) = 2*n**2 + 15*n + 1. Determine -6*g(x) - 13*m(x).\nAnswer: -2*x**2 - 3*x - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 93 (b) 1\/4 (c) 30\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50960, -101932, -152908, -203888, -254872, -305860, -356852?\nAnswer: -407848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48468, -48234, -48000?\nAnswer: -47766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_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: Which is the nearest to 8\/5? (a) -4 (b) -2\/21 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 23*v**2 - 98*v + 2254. Calculate t(23).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Is 4013065643 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -7*x - 45. Let j be i(-6). Let u be (-20)\/j*12\/8. What is the greatest common factor of 20 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 43, 85, 127, 169?\n\"Answer: 42*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of -2542*j**5\/5 - 506*j**3\/3 - j + 668. What is the third derivative of a(b) wrt b?\nAnswer: -61008*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*f = -24*f + 15. Let t(g) = -23*g + 13. What is the remainder when t(f) is divided by 43?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*o + 46*o = 6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 30\/4*(-30)\/(-25). Suppose -d = -2*v - 4*j + 9, 2*v - 18 = -3*j. Does 9 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -266255, -532492, -798697, -1064852, -1330939, -1596940?\nAnswer: -1862837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -2. Let x = 167.4 - 167. What is the nearest to i in x, -1, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 548573 - 548572.729981. Let d = l + -0.27. What is d rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**3\/x)**48)**45 assuming x is positive.\nAnswer: x**6480","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -41 - -372. Let x = 2941\/9 - t. Find the common denominator of x and -33\/7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -308 by 4.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 68, 4, -12.\nAnswer: -12, 4, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 2) to base 11\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 76*g + 397. Let m be q(-5). Solve -m*l + 23*l = -48 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*i**2 + 40*i**2 + 204*i**2 - 12*i**3 - 292*i**2.\nAnswer: -12*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1286\/(-8))\/(29\/6). Let b be ((-5)\/145)\/(2\/72). Let m = b + f. Calculate the common denominator of m and 117\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2185210422.84 - 2185210540.0400633029. Let o = k + 0.2000696029. Let v = -117 - o. What is v rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*g*s**2 + 5*g*s + 2*g + 15*s**2 - 11*s - 138016 wrt s.\nAnswer: 4*g*s + 5*g + 30*s - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 31469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1630*g - 1630*g - 31*g**2.\nAnswer: -31*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -7499*a + 44295. What is v(6)?\nAnswer: -699","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*((-10)\/(-20))\/(1\/2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-8\/7))**(-4\/13))**(3\/8) assuming p is positive.\nAnswer: p**(12\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -45.6 or -130993?\nAnswer: -45.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9.8 + -10. Let z = -0.7 - 0.3. Let g = z + -2. Put k, -2, g in decreasing order.\nAnswer: k, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minus 43124919518847?\nAnswer: -43124919518843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1335 divided by -18846?\nAnswer: 445\/6282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) - (sqrt(567)*1)**2*2) + -4.\nAnswer: -1138 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/((-34)\/(-10) - 3). Which is the closest to 0.1? (a) s (b) -3\/5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -31 - -2232033?\nAnswer: 2232002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -618 - -808. Let v = 204 - n. Let x = 9 - 5. Sort x, v, 5, 1 in descending order.\nAnswer: v, 5, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 739749091?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 251\/78 + 29\/26. Let o(a) be the first derivative of 0*a**4 + 14\/5*a**5 + 0*a - 5 + l*a**3 + 0*a**2. What is the third derivative of o(h) wrt h?\nAnswer: 336*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*j = 124*j + 248*j - 4860 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19250 and 8068500?\nAnswer: 56479500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 229*b - 258*b + 80272. What is the thousands digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = x - 10. Let c be 2\/3 + (-52)\/6. List the prime factors of -16*x\/c + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 850\/1275 + 3\/(306\/(-80)). Sort -2\/7, p, 3, 245 in increasing order.\nAnswer: -2\/7, p, 3, 245","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23.24 - 22.3. Let w = -65.84 - -52. Let x = d + w. Round x to 0 dps.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -630035 by -761.\nAnswer: 630035\/761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2143412 (base 6) to base 16.\nAnswer: -1a240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -19*r**2 - 8*r. Let v be (-1 - 0)*((2 - -1) + 2). Let k(b) = -12*b**2 - 5*b. Let n(m) = v*p(m) + 8*k(m). Let q(j) = 79*j**2. Give q(n(g)).\nAnswer: 79*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 8*l**2 - 7. Give a(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1761 = 228*j + 11347 - 568 for j.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1537, -1531, -1523, -1513, -1501, -1487, -1471?\nAnswer: -1453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*j, 2*j + 44 = 2*a + 3*a. Let o = a + -11. Is -4 - (-40 - (-3)\/o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31\/((-558)\/(-48))*(-18)\/(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 147133 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 282*p - 249*p - 528 for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2118 at least -3338?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 4:56 AM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 2*s**2 - 18*s - 45. Give o(-5).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 8978*w**4\/21 - 268*w**3\/7 - 26928*w**2\/7 + 2412*w\/7 - 54\/7 = 0.\nAnswer: -3, 3\/67, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of -1\/4*w**4 + 2\/3*w**3 - 6 + 0*w**2 + 0*w. Find the third derivative of o(r) wrt r.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i - 57*i**3 - 61*i**3 - 110*i**2 - 67*i**3 - 57*i**3 + 246*i**3 to z*i**3 + s*i**2 + m + h*i and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 2*y = -14, -5*p = 64*y - 67*y + 17. Determine l so that 8\/9 - 2\/9*l**p + 0*l = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -80033.58 to the nearest one hundred.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 5*i - 300 = -4*h, -i = 0. Suppose -2*r + 3*a = 3, -9 = -2*r - 3*a - 6. Suppose -5*c + h = 5*l, -c = -3*l - r*c + 176. Does 19 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182200 is divided by 18.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172173.\nAnswer: 3, 29, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-54)\/8 - (-17)\/(-68).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31161 - -31156. Sort 24, n, 0.6 in descending order.\nAnswer: 24, 0.6, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*y - 6. Suppose -y*f + 123 = -k + 821, 4*k - 2822 = 2*f. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 407277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/12*11)\/((-507)\/(-1521))?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d**3 - 4*d**4 + 9*d**4 - d**4 + 4*d**4 - 5*d**4 + 0*d**4 + (-2*d - 2 + 2)*(2 - 2 - d**3) to the form g*d**2 + f + i*d**4 + r*d + s*d**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -10048, -10069, -10104, -10159, -10240, -10353?\n\"Answer: -t**3 - t**2 - 11*t - 10035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -0.7.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 150759?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 90 times 0.1\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1043 - 1047. Let c(d) = -d**2 - 1. Let s(z) = 7*z**2 + 3*z + 4. Let o(t) = -6*c(t) - s(t). Calculate o(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 24\/(-7) - -2 - (-462)\/1078. Sort 0, i, 10, -3, 6 in increasing order.\nAnswer: -3, i, 0, 6, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720)*-3 - sqrt(720))*-6 - (sqrt(720) - -2*(sqrt(720) + 0 + sqrt(720)) - sqrt(720)))**2.\nAnswer: 288000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 AM and 2:44 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 22, 27, 44, 79, 138, 227?\nAnswer: 352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 2. Let p = 1314 - 1310. What is the smallest value in p, -2, j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 - 1762*c + 159941. Calculate r(96).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*p + 8*p + 5149097 = 5147576 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-21)\/14)\/((-1)\/2). Is 295 - (f - 3\/3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 2668\nAnswer: -10672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 9*s**2 + 7*s + 9. Calculate the smallest common multiple of h(-8) and 7.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -175 + 3 + 2*u - 10.\nAnswer: 2*u - 182","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 74 and 11840.\nAnswer: 11840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94727.\nAnswer: 94727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 3531 to the nearest 100.\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 482114736 by 163318.\nAnswer: 2952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*s - 193 = 665. Calculate the remainder when 440 is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of -a**5\/30 - a**4\/24 + a**3\/2 - 7*a. Let i(b) be the second derivative of h(b). Let d be i(-6). Solve 4*w - d = -7 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -74*t. Let d(i) = -62*i. Let c(o) = -5*b(o) + 6*d(o). Let f(v) be the first derivative of 0*v + 2 + v**2 + 0*v. Determine c(f(a)).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q**2 - 7*q - 5. Let o be j(4). Find the common denominator of -9\/8 and ((-425)\/(-20))\/(-2 + o).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, -0.1, -3\/5, -88 in descending order.\nAnswer: 2\/15, -0.1, -3\/5, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -3, 8, -2\/5, 6, 17 in decreasing order.\nAnswer: 17, 8, 6, -2\/5, -2\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 0 (c) 21\/5 (d) 2\/9 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 13*i = -16*i + 5*i - 4, 163 = 16*y - i for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 1:00 AM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -223954*x + 223963. Give h(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 830495 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*m**5 - 2057*m**4 - m**3 - 21866*m?\nAnswer: -100*m**3 - 24684*m**2 - 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 38 and 4.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9.00002 + -9. Round v to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2806580191?\nAnswer: 1103, 2544497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*t + 10*t - 8*t)*(-2 + 2 - t**2) to the form i*t + b*t**2 + k*t**3 + s and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 61*b + 32. Let p be z(2). Suppose 4*w - 4*t - 56 = 0, 5*t + 14 = w + 3*t. Calculate the greatest common divisor of w and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f - 2*f + 3*f**5 + 2*f**5 wrt f.\nAnswer: 100*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-21)\/(-14))\/(-7 - (-438)\/60). Factor 0 + 4\/3*p - 2\/3*p**g + 2\/3*p**4 + 2*p**3 - 10\/3*p**2.\nAnswer: -2*p*(p - 1)**3*(p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 4*x + 0*x)*(13 + 1 - 10) + 17*x + 17*x - 42*x.\nAnswer: -20*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 4*t**2 + 5*t - 4. Let g be x(3). Suppose -5*l = 0, l + 1628 = g*f + 2*f. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 4*p**5 + 88*p**4 + 304*p**3 + 288*p**2 = 0.\nAnswer: -18, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 15*t = -17*t - 14, 0 = 4*p + t + 19. Which is the fourth biggest value? (a) p (b) -1 (c) -1\/3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of -1\/27*k**4 - 7*k + 1\/90*k**5 + 0 + 8\/135*k**6 + 0*k**3 + 5\/189*k**7 + 0*k**2. Factor y(v).\nAnswer: 2*v**2*(v + 1)**2*(5*v - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*5.9.\nAnswer: 17.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 17 = r + 4*q, -q = -5*r + 17. Suppose r*i - 3 = -4*b - 4, 2*b = -8. Suppose 0 = i*c - 7*c + 206. Is c a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 876\/(-8322)*38\/50?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.34? (a) 0.5 (b) 5205 (c) 7\/5 (d) -2\/5 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -120*l - 96 + 96 + (-l - 4 + 4)*(-7 + 0 + 3).\nAnswer: -116*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + 4203?\nAnswer: 4201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30 - 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*y + 8*y + 12*y + 8*y - 36*y.\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 + 20*g - 18. Suppose 55*t = 3208 - 2053. Calculate h(t).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18750071629 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 273 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by 12.\nAnswer: -13\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3 + sqrt(117)\/sqrt(9)).\nAnswer: -3*sqrt(13) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -127*a**2 + 3*a + 4. Let j(z) = 5*z**2 + z + 1. What is -3*j(i) + v(i)?\nAnswer: -142*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 85*k + 1663. Give b(-20).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -695*a - 1079*a - 95*a - 74760 for a.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + 79c83?\nAnswer: 79c85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -489 + 485. Which is the fourth smallest value? (a) r (b) 2\/3 (c) -5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*k**2 + 5*k**2 + k**2 + (-2 + 2 + k)*(-k + 2*k + 0*k) + 0 + 0 - 2*k**2 + k**2 - 6*k**2 + 3*k**2 + k**2 + k**2 + k**2.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -23 + 15 - -24 - -8\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -22530 rounded to the nearest one thousand?\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 - 15. Let s(r) = 6*r**2 - 3*r - 3. What is the tens digit of s(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 7*h + 15 = 0. Let g(k) = -k**2 + 28*k - 144. Let u be g(7). What is the second derivative of 7*m**3 - 5*m**h + 35*m + 24*m**3 + 9*m**u wrt m?\nAnswer: 210*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = o - 33 - 0, -f + 4*o = -15. Let n = -3 + f. Suppose 0 = -n*d - 5*c + 3, -3*d = d + 4*c - 8. Calculate the remainder when 13 is divided by d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1343? (a) -1\/35 (b) -3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 divided by 21?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*v + 72*v = 3*j - 6, -4*v - 3*j = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1244*k**2 - 7834*k**2 - k**3 + 3442*k**2 to the form n*k**2 + b*k**3 + i + l*k and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 125*k**3 - 7*k**2 - 6*k - 4. What is u(-2)?\nAnswer: -1020","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 246, 2, -70 in decreasing order.\nAnswer: 246, 2, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 + -7)*(-4 - -3). Solve d*t - t - 10 = 0, t = 3*f - 1 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 243065745 and 19305.\nAnswer: 1755","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*k + 3*k + 0 + 1 - 2.\nAnswer: -14*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*r - 80. Let b = r + 37. Let z be b + (-7 + 3 - -7). Solve -2*l + 26 = -0*l - 5*i, 5*i = -z for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*n = 3*x - 23*n - 26, 5*x + 4*n - 39 = 0 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*o**4 + 240315*o**3 - 11305630*o**2 + 10584660*o + 22130600 = 0. What is o?\nAnswer: -48110, -1, 2, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 509 + -132. List the prime factors of k.\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 divided by 1529.\nAnswer: 15\/1529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + (5 - 4\/1). Let d be c\/(-4) + 13\/26. What is the tens digit of (1 - d)*(-59)\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-630)\/(-180)*((-40)\/175)\/((-10)\/1025)?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s + 1. Suppose 0 = 3*a - 2*a. Let m = a - -4. What is f(m)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) -713 (c) -0.4 (d) 13 (e) 0 (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5093 divided by -5093.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8\/(-4))\/(-3 + (-2 - 0)). Let p = -471\/4 + 119. Which is the third biggest value? (a) w (b) p (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 10 - (1 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (3 + 7 + -6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5b94c (base 15) to base 4\nAnswer: 1013113323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 12204, 24407, 36610?\n\"Answer: 12203*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7787.\nAnswer: 13, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 + 0)*(-5 + 3 - 7*j**2 - 6*j**2).\nAnswer: -39*j**2 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*u + 8093 + 1202. Suppose u*v - 35 = 708*v. Solve d = -v, a - 2*d - 7 = 8 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10841 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -162, -1, 9, -21, -1\/5?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of 0*n + 0*n**3 + 3\/4*n**4 + 5\/2*n**2 + 6. Find the second derivative of f(v) wrt v.\nAnswer: 18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s = -0*s - 4466. What are the prime factors of s?\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40\/16*(-1)\/(-110)*-12\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + 7*o**2 + 6*o - 5. Let z be y(-6). Sort -2, -4, z.\nAnswer: z, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l**3 - l**3 + 3*l**3)*(7 - 2 - 4).\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18191942, -18191941, -18191940, -18191939, -18191938?\nAnswer: -18191937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*p**4 - 1207131*p**3 - 7*p**2 + 214858*p + 10?\nAnswer: -216*p - 7242786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -114*h**2 - 224*h + 8.\nAnswer: -2*(h + 2)*(57*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1\/8)\/f*f**0*f**1\/(f*(f\/(f**(3\/4)\/f))\/f*f)*f*f**(3\/5)*f**(-3)*((f*((f*f\/f**0)\/f)\/f)\/f)**(-25) assuming f is positive.\nAnswer: f**(-151\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f = -4*f - 296. What is the remainder when f is divided by 13 - 0\/(-3) - -6?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/2)*c*c)**21 assuming c is positive.\nAnswer: c**(63\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -5*n. Let j be q(-1). Suppose -2*o = -o, -4*o = -j*s + 10. What is the lowest common multiple of 11 and (50\/(-4))\/(-5)*s?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26 + -18. Suppose 2*v - 5*z = 4, -2*z + 26 = 2*v + k. Suppose v*g + 52 = 11*g. Is g a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6988034\/235 >= 29736?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, f: 4, e: 1, i: 3, k: 5, o: 1}. Give prob of sequence iko.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*4062.026\nAnswer: 812.4052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46693695 is divided by 119?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5960555893 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*k + 4*k - 28 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 147, 597, 1353, 2421, 3807, 5517, 7557?\nAnswer: 9933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -10*o**3 - 2*o**2 - 159*o - 693. Give i(-5).\nAnswer: 1302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2991106 is divided by 4143?\nAnswer: 4003","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-4)*98*348\/549927.\nAnswer: -2\/129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9977, 9973, 9967, 9959, 9949, 9937?\nAnswer: 9923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/3, 8.5, -5\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k + 2. Let n be g(-5). Suppose 5*t - n*t = -12. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 867451 is divided by 867445.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -6 - 1\/2*l**4 - 7\/3*l**3 + 4*l - 3\/2*l**2. Is r(-4) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = g - 27. Suppose 0 = -3*c - 3*a - 3, 0 = 2*c - 7*c + a + g. Let p be c\/12 - 33\/(-12). Sort -4, p, 0.1 in descending order.\nAnswer: p, 0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j + 3*j + 0*j + (-827 - 47*j + 827)*(1 - 1 - 1).\nAnswer: 50*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.44 + 0.04. Let o = 390 + -392. What is the closest to -1 in r, -3, o?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*1*(-1 + sqrt(1539)) - (-2*sqrt(1539)*2 + sqrt(1539) + -5).\nAnswer: -27*sqrt(19) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c + c + 2*c. Let o(g) = -4*g - 3. Suppose 6*k - 5*k = 3. Let v(p) = 3*p + 2. Let q(f) = k*v(f) + 2*o(f). Calculate d(q(w)).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 815 - 810 = 5*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -80765 - 8d8?\nAnswer: -8114d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 3*z - 7*z + 33, 0 = -3*z + 6. Let t = -24 - r. Solve 3*n = -t - 5 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of 0*v + 0 - v**2 + 0*v**3 + 0*v**4 + 1\/20*v**5. Let l(x) = -2*x. Determine l(z(h)).\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -55 + 121. Suppose -3*k - 4*q = -2 - j, -3*k = 5*q - 73. Let m = k - -7. What are the prime factors of m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -34*h**2 + 82*h**2 - 2*h - 1 + 24 - 49*h**2 - 10*h. Determine m(-12).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.0059404 from 18.\nAnswer: 18.0059404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 at most -3684?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -134, -127, -110, -77, -22, 61, 178, 335?\nAnswer: 538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3596 - -3804. What is the least common multiple of 8 and q?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -45*r**2 - 4*r. Suppose -208*u + 165*u = -215. Let a(n) = 46*n**2 + 5*n. Calculate u*c(x) + 4*a(x).\nAnswer: -41*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + 22*p**2 + 12*p - 17. Is 43 a factor of y(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4216.9 rounded to the nearest 100?\nAnswer: -4200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/4 + (12 - 14) + (-1 - -5). Let q(x) = 7*x**3 + 2*x**2 + x + 2. Let o(a) = a**3 + a**2 + a + 1. Calculate r*q(y) + 2*o(y).\nAnswer: -5*y**3 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a millennium in months?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 0, 24 = 5*g + 5*l + 9. Let r(z) = 2*z**2 - 2. Let c be r(g). Let h be (-3)\/4 - (-3230)\/40. Calculate the greatest common factor of c and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**3 + 2*g**2 + 2*g - 4. Let n(s) = -3*s**3 + 3*s**2 + 3*s - 6. Let i(o) = 5*n(o) - 8*u(o). What is the units digit of i(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 811553.\nAnswer: 811553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5\/2*31*64\/(-4960)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 v when four letters picked without replacement from ypppgvpppvvpvgpavvpp?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 2*w + 11 = 0, 6*w - 24 + 38 = -2*g + 8 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 0. Let t = -0.24 - -0.44. Which is the second smallest value? (a) t (b) -0.3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 - 4*y - 2. Give v(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*x + 0 - x - 2*x + 5*x + (-3*x + 4*x + x)*(3 + 4 - 5) - 5*x + x + 3*x + (-8 - 3*x + 8)*(9 + 2 + 1))*(-6*x**3 + 8*x - 8*x).\nAnswer: 174*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/52 and 37\/234624.\nAnswer: 234624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 69 (b) 5 (c) 0.3 (d) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -15147065 and -15147064 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51959.\nAnswer: 223, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 304*v + 1933. Calculate the remainder when s(-5) is divided by 137.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 597758 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from wmzwvzvvzwwwzwm?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -488 + 494. Let g(v) be the second derivative of -46\/15*v**3 - 4\/5*v**2 + 243\/100*v**5 + 243\/25*v**j - v + 0 - 9\/2*v**4. Factor g(s).\nAnswer: (2*s - 1)*(9*s + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 10:48 PM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u - u + 2*u)*(0*u**2 - u**2 + 0*u**2) - 3707 + 4*u - 4*u - 3*u**3 + 3574.\nAnswer: -u**3 - 133","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1326*w - 1110*w = -188*w - 83176 for w.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*s - 4*s = 21 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of -h**3\/6 + 2*h**2 + 2*h. Let z = -2 + 17. Suppose 6*k - k = -z. Give y(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 + -30735.9829?\nAnswer: -30736.7829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c**2*r**3 - 3*c**2 - 44818*c*r**4 + 14*c*r + 153*c - r + 5 wrt r?\nAnswer: -12*c**2*r - 537816*c*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/(-12) + 14\/6. Suppose 2*v - 14 = n, -w*v - v = 3*n - 8. Suppose -v*i = t - 51, 0*t + 2*t - 88 = 4*i. Is 20 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36229?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -90622, -90621, -90620, -90619?\nAnswer: -90618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -3*o**2 + 279*o - 6486 = 0.\nAnswer: 46, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 90, 405, -15 in descending order.\nAnswer: 405, 90, 0, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 - 21. What is the common denominator of 101\/8 and ((-14)\/(-12))\/(-2 + w)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 2 z, and 1 a when four letters picked without replacement from {q: 1, z: 8, r: 2, a: 5}?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 2 (b) -0.4 (c) 97 (d) 0.06 (e) -1 (f) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - s - 3*s + 26 = 0, 4*d + 2*s - 18 = 0. Is (-3)\/((-76)\/144 + d\/4) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q**2 + 0 - 4*q**3 + 7*q**2 + 4*q - 8 + 0*q**2 = 0. What is q?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1648 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 188, -91636 in ascending order.\nAnswer: -91636, 0.2, 188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*r + 561 = -1567 for r.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8867215 is divided by 1477860.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k - 5. Let h be s(-7). Suppose -h*g + 12 = g. Find the first derivative of -2*a + 2*a - a**g - 2 wrt a.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1304168?\nAnswer: 2, 163021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**2\/3 - 6384*v.\nAnswer: 4*v*(v - 4788)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -466 times 0.3624?\nAnswer: -168.8784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sukkb. Give prob of picking 1 s, 2 b, and 1 u.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**4 + 3*j**4 + 0*j**4 - 1 + 2*j + (j**2 + 4*j - 4*j)*(-52*j**2 - 12*j**2 - 8*j**2) in the form m*j**3 + c*j**2 + s*j**4 + k*j + x and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 11*y - 12*y + 4*w, -60 = 5*y - 5*w. Which is the closest to 0.1? (a) -4\/7 (b) y (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3\/2 - -3\/4. What is the closest to 0.1 in o, -0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/13)*b\/(b*b*b**(-5)))\/((b\/b**(-5))\/(b*b**4*b)))**(-15) assuming b is positive.\nAnswer: b**(-765\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36) + (sqrt(252) - -2*sqrt(252))\/sqrt(7))\/(sqrt(48)\/sqrt(4)*4).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14726 (base 9) to base 2.\nAnswer: 10011101010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 91153987*y**2 + 148959249 wrt y?\nAnswer: 182307974*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-55 + 55 - 36*v)*(1 - 3 + 3)*(-819 - 955 + 128 - 1029 + 316) to the form q*v + n and give q.\nAnswer: 84924","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -21\/22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3510?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(294)*2 + sqrt(294))\/sqrt(7) - (sqrt(252)*1)\/sqrt(6))\/(sqrt(24)\/((-1*sqrt(32))\/sqrt(8))).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13041101 + 113?\nAnswer: -13040433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fbfffbffllllff. Give prob of picking 2 f and 2 b.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.4 - -0.3. Let y = 0.1 - b. Let m(v) = 2*v**3 - 25*v**2 - 16*v + 34. Let n be m(13). What is the third biggest value in n, y, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 40*(-4 - 66\/(-15)). What is the highest common factor of z and 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22302989479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 76524?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*g**3 + 8217*g**2 - 8214*g = 0. Calculate g.\nAnswer: 0, 1, 2738","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g - w + 39 = -6*w, w + 11 = -38*g + 35*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -98 - -98. Which is the nearest to -0.1? (a) t (b) -0.4 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*x + 8. Suppose 740 = x*h + 162. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 + 1)*(0 + 3 - 5)*(-104*w**2 + 35*w**2 - 80*w**2) to d*w**2 + b*w + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 95 + -94.344. Let r = -0.54 + y. Let c = -0.18 + r. What is c rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23357 is divided by 71?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -w**5*x + 703972*w**4*x**2 + 672*w*x**2 + 149 wrt w.\nAnswer: -20*w**3*x + 8447664*w**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27238 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d**2 - d + 1. Give l(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, r: 10, g: 1, m: 2}. Give prob of sequence mdrm.\nAnswer: 7\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = t + 14 + 7, t = -r - 21. Let y = -16 - t. Solve -4*k + 3 = -y*q - 2, -4*k - 2*q - 2 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30\/799301 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - o**2 - o - 1. Let s(u) = -26*u**3 - 2*u**2 - 3*u - 1. Give -3*r(l) + s(l).\nAnswer: -29*l**3 + l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4703633382 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1665 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 3*h + 6. Let p be z(7). Suppose -7*v = -1 - 27. Suppose p = c - v. Is 13 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -15*a + 137. Let y be m(7). Suppose 5*q - y = q. What is the remainder when 47 is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4\/4 + 567*k**3\/2 + 80372*k**2 - 567*k\/2 - 321489\/4.\nAnswer: (k - 1)*(k + 1)*(k + 567)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 - 7*a - 1. Let z be k(7). Suppose 228*v = 273*v - 180. Put v, 35, z in decreasing order.\nAnswer: 35, v, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) 2 (b) -4 (c) 0.2 (d) 0.5 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 48286089 plus 0.132271?\nAnswer: 48286089.132271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-11)\/z*z)\/(z*z\/(z\/z**6)))**(-38) assuming z is positive.\nAnswer: z**646","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((sqrt(102)*1 - sqrt(102)) + sqrt(102))\/sqrt(6) - sqrt(17)) + sqrt(17) + sqrt(17) + -1 + sqrt(1088) - (1 + sqrt(425))*2)*1)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5713054099 to the power of 1\/6, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -230 - -232. Solve z + 1 = 2*i, -u*i + 0*z - 5*z = -31 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-6)*126\/(-12) + 42 + 20 + 15?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-8)\/(-96)*(-48)\/20?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 808809787 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 619401268.\nAnswer: 2, 41, 3776837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 AM and 2:08 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 3*i**3 - i**2. Let b be k(1). Suppose -f - 18 = -4*f. Find the third derivative of -5*z**b + 0*z**6 + z**f + 3*z**2 wrt z.\nAnswer: 120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uunwwwwnwjwwwunwwwww. What is prob of sequence ju?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 51221 or 51222?\nAnswer: 51221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 4*o**3 - 496*o**2\/7 + 332*o\/7 + 136\/7 = 0.\nAnswer: -2\/7, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 538 + -526. Find the second derivative of 5 + 39*z**5 + 60*z - 62*z + k + 30*z**5 wrt z.\nAnswer: 1380*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005111 rounded to 5 dps?\nAnswer: 0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 5*r**2 - 11*r + 4. What is j(-5)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 404310240 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*k + 3991 = 4131 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 87*f**2 - 4*f + 15. Give u(2).\nAnswer: 355","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35303 by -139.\nAnswer: 35303\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 28? (a) 4 (b) -0.4 (c) -2 (d) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p**2 - 2*p + 4. Let g(l) = 5 - 3 - l**2 - 5*l + 4*l. Let o(k) = 13*g(k) - 6*q(k). Is o(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -16*w**2 - 16 - 2*w - 4*w**3 + 2*w**3 + 5 + w**3. Let j be t(-16). What is the third derivative of -10*p**3 + j*p**2 - 5*p**2 - p**3 - 6*p**3 wrt p?\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.2 or 37493?\nAnswer: 37493","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 18*q**2 - 15 + 15. Let n(b) be the second derivative of b**4\/4 - 2*b + 635. What is n(p(t))?\nAnswer: 972*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 16 - 88 = 0. Suppose 0 = w*p - p + 1012. Is p <= -45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -0*q + 4. Let g(d) = -13 + 45*d**2 + 91*d - 91*d. Is g(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 9205839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -4*g**3 + 1 - g**2 + 6*g**3 + 5*g**3. Calculate the remainder when o(1) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ybfa when four letters picked without replacement from {a: 2, y: 1, b: 1, f: 2, r: 4}?\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.131264 rounded to two decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/7 or 232?\nAnswer: 232","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 10, 17, 22, 25, 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 5*n + 55. Let s be j(-7). Let p be (-3 - 0) + (s\/(-3))\/(-4). Sort 4\/3, p, 0 in decreasing order.\nAnswer: 4\/3, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10+-0.092655\nAnswer: -10.092655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*h - 59*h**4 + 8*h**5 - 1847*h**5 + 59*h**4 + 8 + 148 wrt h?\nAnswer: -36780*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (11 - (3 + 1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/44)\/(5 - 336\/66). Solve 30 = -4*j - 5*i, -n*j - 3*j + i = 23 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 244243423?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 340 and 8585.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0 (b) 0.2 (c) -1\/6 (d) -1\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-12)\/v*v*v)\/(v*v**14)*v*v**(-1\/27)*v*v**9*v assuming v is positive.\nAnswer: v**(-379\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*z + 263958 = -2129*z - 1565*z for z.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of q**3\/3 + q. Let f(n) be the third derivative of -3*n**5\/20 - 24*n**2. What is i(f(z))?\nAnswer: -18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -93996 + 89196.9. What is b rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v + 13. Calculate the remainder when t(0) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d, 1 t, and 1 e when four letters picked without replacement from jqgjgqdjdggdjeeqqtqg.\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zw when two letters picked without replacement from {z: 3, w: 7}?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -41*s**4 + 2*s**2 + 97*s**4 - 9*s - 4 + 0*s**2 + 3*s**3 - 57*s**4 as x*s**3 + n*s**2 + i*s + d*s**4 + z and give i.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of -58*l**3\/3 - l**2 + 17*l - 16. Find the second derivative of s(d) wrt d.\nAnswer: -116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 0.1. Let f = 48\/125 - -2\/125. Which is bigger: f or w?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of j**5\/4 - 125*j**3\/3 + 25*j**2 - 2*j. Let n(z) be the first derivative of b(z). Let f(c) = 3*c**2. Determine n(f(g)).\nAnswer: 90*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38*f**4 - f**3*m + f*m + 2*f + 33*m wrt f.\nAnswer: -456*f**2 - 6*f*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -4*c - 7. Let k(u) = 107 + 3*u - 51 - 50. What is 3*k(x) + 2*y(x)?\nAnswer: x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 22 + -32 + 29?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (1 - (3 + -1)) + (-35 - (20 + -70)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -82*-11240\nAnswer: 921680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -442*m + 5*p - 58 = -439*m, -2220 = 86*m - 4*p for m.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 1. Let p be (2*-1)\/(n + 0). Let a(h) = 4*h**3 + h**2 - 1. Let s be a(p). Solve 0 = s*g - 0*g + 12 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-40))\/(514\/10)*176\/352?\nAnswer: -1\/257","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13651 is divided by 66?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 1999633 = -4*s, 4*l - 3*l + 2*s = -399929. Let j be ((-2)\/(-35))\/((-4)\/l). Let r = 5719 - j. What is the common denominator of -19\/20 and r?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 753 - (2 - (-3 - 1)\/4). Calculate the greatest common factor of 100 and t.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17.7388 - -0.38043.\nAnswer: -17.35837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 52793.8um?\nAnswer: 52.7938","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5)*-1*6 - sqrt(5))**2 - (sqrt(5) + 0)*1.\nAnswer: -sqrt(5) + 245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -3 (c) 7\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36583 is divided by 4060.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 667711415 to the power of 1\/4, to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -3*p + 13. Give r(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11647?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7121 is divided by 227?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 + -20. Let m = d + 9. What are the prime factors of (-3 + m)*(-38)\/(-6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 1. Let y = -15 + 17. Suppose y*z + 4*u - 113 - 9 = 0, -u - 112 = -2*z. Let a(p) = -z + 2*p + 26 + 30. Determine -a(s) - 3*h(s).\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2759 divided by 31.\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(180) - (-1 + sqrt(180) + 2 - sqrt(180)))**2)*3.\nAnswer: -36*sqrt(5) + 558","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 4 (b) -1835 (c) 83\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 2\/15, 15, -200?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of -h**6\/360 - h**5\/120 + h**4\/4 - 3*h**3 + 9*h. Let x(k) be the second derivative of z(k). Factor x(u).\nAnswer: -(u - 2)*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 g when three letters picked without replacement from jghohjjqohjgjegooogo.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**2 + 2*o + 2. Suppose -2*t + 4 = 2*t. Suppose -k + t = 2. Let x = k - 1. Determine g(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 7371 + 17802 = 0. Suppose 0 = 4*i + 771 - j. Calculate the common denominator of 49\/15 and (2\/12)\/((-3)\/i*-5).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23.2 * -0.1.\nAnswer: -2.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.07 + 11216.1419.\nAnswer: 11219.2119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*u**4 + 457291487*u - 457291487*u - 1 + 349*u**3 in the form k*u**2 + m*u**3 + y + o*u + x*u**4 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b + 3. Suppose 0 = -2*z + 2 + 2. Suppose 2*d + 2 + z = 0. Let r be h(d). Is 2\/7 bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssss when four letters picked without replacement from {s: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 6*n**2 - 40*n + 410. Does 26 divide p(36)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16249 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*f - 11*f - 6 = 0 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -172 - -171.9. Let y be ((-6)\/4)\/(9\/(-12)). Suppose b - 3*b - 5*l = 18, -18 = 5*b - l. What is the closest to i in -0.2, b, y?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3786, -4, -0.2, -2, 0.7, -1\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u - 1 - u + 3*u. Let y be i(1). Solve y = 5*q - 4*p - 29, 9 = -0*q + q - 4*p for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1839? (a) -5 (b) 4 (c) 10.879 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 294528?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of -z**8\/336 - z**6\/90 + 5*z**3\/3 + 4. Let k(q) be the third derivative of v(q). What is the third derivative of k(g) wrt g?\nAnswer: -120*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 - 3*x**2 - 8*x**2)*((-2*x - 4*x + 27*x)*(2*x**2 + 2*x - 2*x) + 0*x**2 + x**2 + 4*x**3 - 2*x**3).\nAnswer: -484*x**5 - 11*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 8. Let t = 18 - 12. Solve c = -z + t*z + 25 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 24, 22, 20, 18, 16, 14?\n\"Answer: -2*h + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/9144 and -55\/254?\nAnswer: 9144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b + 2. Let x be y(0). Suppose -4*r + 8*r = 12. Factor -2\/9*j + 0*j**x + 2\/9*j**r + 0.\nAnswer: 2*j*(j - 1)*(j + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1860.\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 717766656 to the power of 1\/4, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9927764cm in millimeters?\nAnswer: 9.927764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2483445966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44 - (-16 - -74)) + (11 - -1) + -3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -83 + 84. Let q be v - (-1 - (-4 + -1)). Let j be (-4)\/(-22) - (-28)\/(-33). What is the fourth smallest value in q, 0.3, j, -0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 + d. Let k(v) = 2*v**2 - 2*v - 2. Let a be 21\/(-12) + 1 + 13\/(-4). Determine a*w(r) - k(r).\nAnswer: 2*r**2 - 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 118 + -23?\nAnswer: c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.26 + 51.74. Let t = -52.952 + i. Round t to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 + 10. Let q be ((-2)\/(-1))\/(4\/34). Let z = l + q. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4795?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 2*w + 3*w. Let l be 3 + 3\/(w\/(-3)). Let h be (-8)\/264*(-18)\/l. Are h and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*4\/60*(-14)\/(-7))\/(29\/348).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -684.1 + 75.1. Let b = -1439507 + 1438897.591. Let w = b - s. What is w rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/4182 and 27\/1802.\nAnswer: 221646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2138 (b) -22 (c) -4 (d) -0.28 (e) -3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1360448.199 rounded to the nearest one hundred?\nAnswer: -1360400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 58\/7 - (-4)\/(-14). Let o be (t - 4)\/8*24. What is the highest common factor of o and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, n: 1, i: 1, h: 3}. Give prob of picking 1 i, 1 n, and 1 j.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*v - 2*v + 5*v + (1 - 6 + 3)*(-3 + v + 3) + v + 5*v - v)*(2*v - 7*v + 3*v) to i*v + x*v**2 + n and give x.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-2))\/6*(-3 + 4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 0 - (-5 + 4). Suppose -q + 2 + 0 = w. Let j be -4*2\/8*-1. Which is greater: q or j?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5872\/(-7340) + 472\/(-10) + 0.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(84) + sqrt(84)*-1))\/(sqrt(192)\/sqrt(4)) + ((sqrt(7)*-2 + -3)*6 - -3*-2*sqrt(14)\/sqrt(2)))**2.\nAnswer: 648*sqrt(7) + 2592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 548, 1096, 1656, 2234, 2836, 3468, 4136?\n\"Answer: i**3 + 541*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 1. Suppose 8*m - 8 = 8. Suppose -3*o + o = -m. Let l(d) = -d**3 + 4. Give o*l(n) - 4*h(n).\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 10*s**2 + 354*s + 146. Calculate j(-35).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 d, and 1 v when three letters picked without replacement from vdvqddkttv.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 2, -12, -5.\nAnswer: -12, -5, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.69 - -0.31. Which is the third smallest value? (a) k (b) 0.123 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5316 and 18.\nAnswer: 15948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 58*m + 64*m - 113*m + 6 + m**2. What is the remainder when 83 is divided by p(-11)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4*6\/(-108) - (-778)\/(-18). Let n = 47 + v. Solve 1 = 5*k - n for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*a + 7*a - 8. Suppose 13 - a = q. Find the third derivative of 2*r**2 + 6*r**5 - 4*r**2 + r**5 + 0*r**q wrt r.\nAnswer: 420*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1818 + 5192. What is the greatest common factor of 56 and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/8)\/((-5)\/500). Suppose -4*s - s = -l. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 4) to base 7\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3864 and 17308788?\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -3*i**3 + 6*i**2 - i + 4. Let k(l) = -3*l**3 + 7*l**2 - l + 5. Let r(w) = 5*a(w) - 4*k(w). Let g be r(1). Does 7 divide (-2)\/g + (7 - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -135 - -138. Which is the nearest to -2\/7? (a) -0.46 (b) -0.2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*(o\/(o*o**(-3)))\/o))**(-1\/5)\/(o**8\/o**(-2)) assuming o is positive.\nAnswer: o**(-48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 7:48 AM?\nAnswer: 3:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q - 8. Let n be i(-9). Let v = 6 + n. What is the greatest common factor of v and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/11))**(-32) assuming z is positive.\nAnswer: z**(-64\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.49168 rounded to 2 decimal places?\nAnswer: 16.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.7 + -5223?\nAnswer: -5219.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -407 = -4*h + 2457. Suppose -h + 106 = -5*i. What is the remainder when i is divided by 62?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -243, -70937, -1 in descending order.\nAnswer: -1, -243, -70937","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 + (-184)\/(-20))*4735 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, e: 8, f: 1, x: 4}. What is prob of sequence zfee?\nAnswer: 2\/585","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5620.936 micrograms in kilograms?\nAnswer: 0.000005620936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/sqrt(8))\/sqrt(9).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -11*o**3 - 9*o**2 + 250*o + 246. Give i(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 246 and 371972?\nAnswer: 45752556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-134)\/(-6) - 210\/(-126). Solve -h*t + 8 = -26*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*q**2 + 27*q**2 - 8*q**2 - 9*q**2 - q**2.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3*c. Let n(i) = i - 2. Let h be n(4). Let j(f) = -26*f - 2*f**h + 26*f. Calculate j(a(t)).\nAnswer: -18*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a (base 14) in base 9?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -620*o - 6324. What is the remainder when 517 is divided by k(-11)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -2 - (-11 + 11).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 180 and 329797395.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43736 is divided by 14577?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 251 - 232. Suppose -521 - 904 = y*h. Is -77 bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1162)\/13446*27*72\/(-14)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16728 + 7957. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + 40*b**2 + 47*b + 301. Let t be s(-39). Let j(h) = -5*h + 9. Let u be j(4). Is t at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 98, 85, 74, 65, 58, 53?\n\"Answer: n**2 - 16*n + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 9*r + 15. Let u(f) = -4*f - 7. Let o(y) = 2*j(y) + 5*u(y). What is the smallest common multiple of o(-7) and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(15) + sqrt(405)\/sqrt(3))\/sqrt(3))**2.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1896\/11 (b) 1\/8 (c) 0.2 (d) 1.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o - 1 + 1 + (3*o + o - 5*o)*(-4 + 1 + 4) + (-3 + 1 - 1)*(1 - 1 - 2*o) to n*o + q and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 38*f**2 + 1791725*f + 78218390 wrt f?\nAnswer: 76*f + 1791725","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 90296203 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -700 - -703. Let n = 622 - 619. Solve -3 = -m*h - n*r + 3, -2*h - 5*r + 7 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.00847 - -0.05.\nAnswer: 0.05847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4647 is divided by 1540.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 4*m - 26 = 0, 4*m = 4*h - 0*h + 8. Let w(p) = -p - 26. Let f be w(-28). Suppose -f*k - 12*k = -56. Solve l + 5 = -y, -h*y - 7 = l + k for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 24*j. Let u = -5955 - -6018. Calculate the remainder when u is divided by d(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -12, 5*u - 328 = 13*y - 15*y. What is the smallest common multiple of 2 and y?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 6. Let y(a) = a**3 + 3*a**2 + 2*a. Let m be y(-2). Suppose 0 = z + 4*c, 0 = -m*z + 2*z + 3*c - 5. Solve -8 = -f*s - s, -2*s + z = -2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 5*d. Let v(b) = 2976*b**2. Calculate v(j(f)).\nAnswer: 74400*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 862619 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19*h - 29*h + 36*h + (26*h + 42*h - 27*h)*(-1 - 3 - 1).\nAnswer: -179*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 558 and 341?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/5804820 and -139\/307314.\nAnswer: 52243380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1509 not equal to 1509?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14304571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 605*l + 211*l - 162*l + 1357*l + 1352*l.\nAnswer: 3363*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -84 - -81. Suppose 5*u + u + 36 = 0. Sort j, u, -5.\nAnswer: u, -5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 27*k**3 - 3 + 12.\nAnswer: -27*k**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + 3 + 4\/(-6 - -4). Solve 3 = 6*h - 3*h, 5 = r*j - h for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0703 - 1.0703. What is the closest to l in -2\/7, 2\/21, 0, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**3 - 2*y**3 - 4*y**3)*(-3*y - 2 + 2)*(4 - 1 + 0).\nAnswer: 72*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23860*b**3 - 47655*b**3 + 23825*b**3.\nAnswer: 30*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 75450897?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.07442 or 0.1?\nAnswer: 0.07442","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.0084 - -0.0084. Which is the closest to q? (a) -3 (b) -5\/4 (c) -1.7 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 3*t**2 - 4*t. Let u(b) = -4*b**2 - 5*b. Let g(a) = -5*n(a) + 4*u(a). Give g(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*-5*-2*sqrt(65)*-6)\/((sqrt(150)\/(sqrt(160) + sqrt(10)))\/(sqrt(30)\/sqrt(160))))**2.\nAnswer: 1828125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3333330528 to the nearest integer?\nAnswer: 57735","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 471774897 to the power of 1\/2, to the nearest integer?\nAnswer: 21720","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = d - 3*d + 984, -2443 = -5*d - m. Let v = d - 346. Let x(z) = -135*z - 1999. Let n be x(-15). What is the highest common factor of n and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 36 = 0, 10*l + 40 = 69*h - 64*h for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 38927 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 31.94 times -935\nAnswer: -29863.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jrn when three letters picked without replacement from {j: 1, r: 1, a: 6, x: 1, o: 1, n: 1}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 124 and 155.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 378 is divided by 120.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/8)\/(27\/6*-1)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of t**9\/63 - t**5\/10 - 4*t**2 + 5*t. Let b(j) be the first derivative of n(j). Find the third derivative of b(q) wrt q.\nAnswer: 960*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 72377291.\nAnswer: 144754582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 - 25.2. Let v = 3 + w. Round v to zero decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 8 - 2 = 0. Let t(g) = -g**2 - 6*g + 4. Let b be t(o). Factor 5*n**3 + b*n**3 - 13*n**3 - n**2.\nAnswer: n**2*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m - 1. Let l = -2 - 1. Let w = l + 5. Let g(b) = -b + 3. Let h be g(w). Calculate j(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/11)\/a**(-9))\/((a*(a*a**(-1\/6))\/a)\/a*a*a**(-2\/3)))**(-32) assuming a is positive.\nAnswer: a**(-9232\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 349, -2 in decreasing order.\nAnswer: 349, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 1\/6 (b) -2.9 (c) -2 (d) -53\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -5*x - 0*s + 121, -91 = -4*x + 5*s. Suppose -r - 4*g + 53 = 0, -3*r - x + 167 = 4*g. What is the remainder when r is divided by 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of -5*r**3\/3 - 5*r**2\/2 + 660*r + 2729. Factor c(h).\nAnswer: -5*(h - 11)*(h + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 8*i + 9 - 24 + 11 - 2*i**2 + 5. What is the smallest common multiple of 21 and h(3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6251324093 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cg when two letters picked without replacement from qqgctgtgqqqcgqcccq?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -50, 0.22, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -100011 (base 2) to base 8\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1)\/((d*d*d**2)\/d)*(d*d**1\/d)**36 assuming d is positive.\nAnswer: d**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (42 + 38 + -93).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**4 + 2 - 2 + (3*s**2 + 2*s**2 - 7*s**2)*(-2*s**2 - 1 - 2*s**2 - s**2).\nAnswer: 9*s**4 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -15489, -30944, -46399, -61854, -77309?\n\"Answer: -15455*n - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48, -197, -446, -795, -1244, -1793, -2442?\nAnswer: -3191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of -9*s**5\/20 + 2*s**4 - 7*s**3\/2 + 3*s**2 + 8*s. Factor p(n).\nAnswer: -3*(n - 1)**2*(3*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 0*u. Suppose -b - 2*r = -2, b + u*r - 2 = -3*r. Suppose h = -5*t + 3, b*t + 0*t - 6 = -h. What is the remainder when 15 is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100100001101100111 (base 2) to base 16\nAnswer: -24367","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -3.131?\nAnswer: -2.131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -316b - 2?\nAnswer: -3170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -115 and 7?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -357, -1436, -3239, -5766, -9017, -12992?\nAnswer: -17691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3814.727mm to nanometers.\nAnswer: 3814727000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 + 1 - 15)*((9 + 0 - 6)*(16 - 5*c - 16) + c - 3*c + 4*c)*(-c + c + 2*c**3) as o*c + q*c**4 + p + m*c**3 + y*c**2 and give q.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 215395843, 215395842, 215395841, 215395840, 215395839?\n\"Answer: -d + 215395844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38853, 77761, 116669, 155577, 194485, 233393?\nAnswer: 272301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of -i**3 + i**2\/2 + 15*i. Let v = -3 - -2. Give o(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -294*h**2 + 589*h**2 - 10*h - 296*h**2 - 91*h**3 + h to the form v*h**3 + w*h**2 + y + s*h and give s.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/((b*b*b\/b**(-3\/2)*b)\/b))\/b)**15)**(-26)*(b\/(b\/b**(1\/4)))**(-3)\/(b**(-5)*b**(2\/9)) assuming b is positive.\nAnswer: b**(63325\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 - -57. Let s = z - 96. Let d = s - -62. Put -0.2, 1\/3, d in descending order.\nAnswer: d, 1\/3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 18 - 1594396?\nAnswer: -159437a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**2 - 15*o - 3. What is the units digit of y(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/(-16)*4*2\/4. Calculate the lowest common multiple of (-48)\/(-3 + m) - 2 and 9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = -5*z - 4, 3 = 10*z - 7*z + 3*r for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - 6*r**2 - 4*r. What is the units digit of b(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 s when three letters picked without replacement from sgsgssgsoosg?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -0*x + 72. What is the least common multiple of x and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*s - k + 9, 4*k = s + 3*k + 6 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2403?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -131\/385 - -3\/55. Let p = -10300 + 10269. Which is greater: p or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5.12, -166\/17, 18 in increasing order.\nAnswer: -166\/17, -5.12, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + 75*x**2 - x + 77. Calculate t(75).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 15*u**3 + 6 + u + 6*u - u**2 + 2*u to the form y*u + c + w*u**2 + q*u**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -547 + 1007. Does 21 divide (3\/(-2))\/((-15)\/q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 0. Let g = 442\/749 + -2\/107. Which is smaller: o or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n**(2\/3)\/n))**(-9\/2)\/((n*n\/(n\/n**(-6)))\/n*n**1\/n)*n\/(n\/(n**4\/n*n))*n*n**(-2\/15)*n\/(n**(-1\/7)*n)*(n\/n**(1\/5)*n)\/n*n assuming n is positive.\nAnswer: n**(97\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/(-4)*9\/((-90)\/4). Sort b, -2, 7.\nAnswer: -2, b, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7177 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -9. Is (-211)\/(y + 6\/3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 60 - 8 = 0. Suppose 0 = -3*a + 3*y + 399, a = -0*y + 4*y + 124. Calculate the highest common divisor of a and n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10444 (base 6) to base 15.\nAnswer: 67d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 - -35 - 13 - 36?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2110223\/54 + 39077. Calculate the common denominator of 35\/4 and i.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of 2 + 0*s**2 + 5\/3*s**3 - 5*s. Find the first derivative of y(g) wrt g.\nAnswer: 10*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of -8*w**3\/3 + 2*w**2 - 5887. Let k(b) = b**2 - b. Let z be (-2 - 6\/(-2)) + 0. What is z*p(r) + 4*k(r)?\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 2718342?\nAnswer: 1\/906114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 6, t: 6, v: 7}. What is prob of sequence vdt?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -36\/6155411 and 61\/16473?\nAnswer: 18466233","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13)\/(-16) - (1 - 0))*4*10668\/480060?\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.11 + -0.11. Suppose -2*l - 4*d = -28, 2*d = -l - 3*d + 26. Let z(j) = j**2 - 6*j + 2. Let n be z(l). Are q and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 6:38 AM?\nAnswer: 2:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 22 = -5*z, 159*g = 161*g - 2*z - 4 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -17211 divided by 109?\nAnswer: -17211\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143*j**3 + 141*j**3 - 291*j**3.\nAnswer: -7*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 2, -4, -2.\nAnswer: -4, -3, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*((-2128)\/32)\/(-19)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 5*y**2 + 4400*y + 968000 = 0.\nAnswer: -440","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/112424 and 73\/728.\nAnswer: 786968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -98 and -2904997359.\nAnswer: -2904997457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48837.\nAnswer: 3, 73, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 5*v + 35, -j - 8 = -2*j + v. Let d be ((-3)\/2)\/(j\/2). Which is the second biggest value? (a) -1 (b) -2\/15 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -47 and 2199.929819?\nAnswer: 2246.929819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: 5*22\/((-143)\/(-13))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yaaqv. Give prob of sequence yvy.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 446595618 to the power of 1\/2, to the nearest integer?\nAnswer: 21133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1599\/(-1352))\/(-123))\/(9\/(-24))?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttttttttttqtttttttt. What is prob of picking 3 t?\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1280909*q + 1280837*q + 3888 = 0 for q.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 12:21 PM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-25)\/(-5))\/5*(-4)\/(-30).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1108 + -47642\/43. Which is the second biggest value? (a) 1\/4 (b) o (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -22, -23, -16?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 40, 39, 38, 37?\n\"Answer: -g + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 5*v**2 + 4*v - 7. Give k(6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -813*z + 782*z = -558. Calculate the remainder when 238 is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s and 1 j when four letters picked without replacement from {s: 1, j: 7}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -238279, -238265, -238251, -238237?\n\"Answer: 14*c - 238293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 18) + -65 + 78 + 88?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 51 + 309 = 0. Let w = n - 51. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 2*s**5\/15 + 176*s**4\/3 + 91376*s**3\/15 - 1193344*s**2\/15 + 3648544*s\/15 - 3268864\/15 = 0?\nAnswer: -226, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*p, 4*p + 58 + 98 = 5*n. Suppose 51 = -n*v + 31*v. Is v a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4810 - -8858. Calculate the highest common divisor of 204 and n.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 263001248 divided by 92704.\nAnswer: 2837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -32503*g**6 - 154*g**2 + 4*g + 1.\nAnswer: -3900360*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 521386\/113 - 4614. Which is smaller: c or 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 67 = 61 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - 24 = -14*s. Suppose -j + s*c + 84 + 76 = 0, 0 = c + 1. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**2 + 9*d - 6. Let x be (12\/24)\/(2*1\/28). What are the prime factors of p(x)?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*(-2)\/(-18) - (-1)\/(-3). Let t be ((-30)\/(-4))\/(-15)*g. What is the nearest to t in -8, -5, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8245136 (base 9) to base 3.\nAnswer: 22021112011020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 g when three letters picked without replacement from wmwkwfwwmwwwwkkwwg.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 223 a factor of 210356\/28 - ((-20)\/(-490))\/(5\/(-35))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16541 divided by -16541.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(231)\/(sqrt(7)*-1))\/((sqrt(126)\/sqrt(175))\/sqrt(6)))**2.\nAnswer: 6875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/20 and 113\/3530.\nAnswer: 7060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -262, -510, -756, -1000, -1242, -1482, -1720?\n\"Answer: m**2 - 251*m - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01024 to three decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000169881928 to 7 dps.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*d - 112*d + 24335 + 13262. What are the prime factors of d?\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/28 - 51\/140. What is the closest to b in 0.6, 1\/9, -5?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (569*h**3 - 569*h**3 + 22*h**4)*(-2 + 3 - 4 + (-1 + 0 - 1)*(0 - 2 + 0))*(-2 + 1 + 5) as n*h + d*h**2 + j + m*h**4 + b*h**3 and give m.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38754, -38677, -38482, -38109, -37498, -36589?\nAnswer: -35322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(5) - (4 + sqrt(5))) + -4)**2 + -3).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-4))\/(3\/24*2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0)*(13*i - 6*i + 4*i).\nAnswer: 22*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -4*k**2 - 4*k. Let s be (2 + 1 - 1) + -2. Suppose s = -3*i + i + 4. Let y(a) = 5*a**2 + 5*a. Give i*y(w) + 3*f(w).\nAnswer: -2*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -40 - -40. Suppose n = -4*y + 11*y - 189. Is y a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 6*i**2 + 8*i + 6. Determine d(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2500 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**2 + 20*p - 5*p**2 + 4*p**2.\nAnswer: -3*p**2 + 20*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 264*v**2 + 261*v**2 - 524*v**2 + 4. Let o(u) = u**2 + u + 2. Let w be o(-2). Let g(p) = 6*p**2 + 21. Let n = -566 - -545. Determine n*z(f) + w*g(f).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 48*o**2 - 393*o - 27. Let d(w) = -7*w**2 + 56*w + 4. Let v(q) = -27*d(q) - 4*n(q). Solve v(f) = 0 for f.\nAnswer: 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.2 (b) -3 (c) 2 (d) -584.4 (e) -4\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 137577470 to the nearest integer?\nAnswer: 516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-168)\/9)\/(-4)*186\/(-248).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/((o**(1\/3)\/o)\/o)*o**(-1\/5)*o assuming o is positive.\nAnswer: o**(52\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 4*x + 8. Let v be w(-4). Is v greater than -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + 1)\/((-2)\/1). Suppose 3*q - q - 6 = u. Suppose 0*h - q = -h. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f + 3. Let i be m(5). Let a(n) = 200001*n + 2. Let p be a(i). Round p to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, -0.1, 150, 4, -3, -5\/4 in descending order.\nAnswer: 150, 4, -0.1, -5\/4, -3, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h - 5*h - 3*i + 316, 5*h + 4*i - 318 = 0. What are the prime factors of (1643\/h)\/((-1)\/(-6))?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -338 - -338. Let u(d) be the first derivative of 2\/5*d**5 + 0*d**4 + m*d + 1\/2*d**2 - 3 + 0*d**3. Find the second derivative of u(p) wrt p.\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -572758 in 0.11, -3\/8, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -191*a**2 + 96*a**2 + 29*a**2 - 425*a**2.\nAnswer: -491*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.06 - 0.03. Let h = z - -0.08952. What is h rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 117 = 303. Let u = h - -26. Let c be u\/(-38) - (-3 + 0). Put c, 0.4, -1 in ascending order.\nAnswer: -1, c, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = q - 2287 + 2262, 103 = -9*f - 5*q for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11202000112222 (base 3) to base 6.\nAnswer: 130001512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -402*q + 27 = -393*q. Sort q, -48, 1, 5 in descending order.\nAnswer: 5, q, 1, -48","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -581*n - 614*n = -51385 for n.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - -40?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (10 - -18 - 29).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -7*p + 4. Let m(b) = -16*b + 9. Let f(j) = 4*m(j) - 9*x(j). Let u(v) = 2*v. Let z(k) = 3*f(k) + u(k). Let n(t) = 6*t. Give n(z(d)).\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 82 times -7\nAnswer: -574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i. Suppose -5*v + 5 + 10 = 0. Let k(u) = -7*u - 5*u - v*u - 3*u. Determine n(k(f)).\nAnswer: 18*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -38*(0 + (1 - 2)) is divided by (((-5)\/(-3))\/1)\/((-5)\/(-15))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21091 * 106\nAnswer: 2235646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 11:46 AM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 2. Let y(w) = -24 + 6 + 5*w + c. What is the units digit of y(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 12 = 2*n, -2*n = -0*a - 2*a + 8. Let j(q) = -7*q**3 + 3*q**2 - 3*q + 8. Let k(z) = z**3 - 1. Let w(x) = -j(x) - 6*k(x). Give w(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/55293, -5, 0, -1\/61, -0.5?\nAnswer: -1\/61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/5 (b) 2\/9 (c) 12 (d) -2\/13 (e) -2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 66\/7. Let p(m) = -9 + 0 + 3 - 2 + m. Let w be p(8). Are t and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -656581, -656577, -656557, -656515, -656445, -656341, -656197, -656007?\n\"Answer: g**3 + 2*g**2 - 9*g - 656575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 113252 to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8079717 is divided by 60?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/(-30))\/(6\/5). Is i less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -672875 times -3\nAnswer: 2018625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of r**6\/180 + 13*r**5\/90 + 10*r**4\/9 - 10020*r**2. Let t(s) = 0. Calculate s.\nAnswer: -8, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -729*f**2 + 36*f**2 - 354*f**2 + 11*f - 171*f**2 + f**3 to the form s + h*f + t*f**2 + w*f**3 and give h.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*h - h - 150 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 342101 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 55\/9 at least 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - u - 2, -5*j + u + 14 = 0. Let d = 37 + j. Suppose 4*h - 1 = d. What is the greatest common divisor of 90 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2)*r**(1\/5)\/r)\/(r*r\/(r**(-2\/3)*r))**(-2\/41) assuming r is positive.\nAnswer: r**(-1672\/615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 312937 is divided by 111?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1268, -1270, -1272?\n\"Answer: -2*u - 1266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -88*v + 80*v + 67*v as f + u*v and give u.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 863 divide 21982767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 22977?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 12680241, 25360476, 38040711?\n\"Answer: 12680235*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1645 divided by -1321.\nAnswer: 1645\/1321","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 n when three letters picked without replacement from {h: 2, n: 1, r: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 207726055 divided by -1941365.\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 10\/2*(-1)\/((-15)\/(-4))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1482263 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -7, -11, -11, -1, 25?\n\"Answer: l**3 - 4*l**2 + l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wsz when three letters picked without replacement from mzmmzzmsmwmszmzsmz.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 428793574 to the nearest integer?\nAnswer: 754","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 1408 = -3*q, 0 = -5*q - 4*v + 362 + 1976. List the prime factors of q.\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(1\/(-3))\/(((-70)\/75)\/((-20)\/25))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*n + 20*n = -10. What is the biggest value in n, -0.5, -182?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**2 + 1560*r + 121680.\nAnswer: 5*(r + 156)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 29*s**2 - 1. Let c(m) = -2*m**2 - 22*m - 2. What is c(r(a))?\nAnswer: -1682*a**4 - 522*a**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, -36, 2, 40 in ascending order.\nAnswer: -36, 2, 22, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 2726 + 1254. Let k(y) = 796 + 11*y**2 - l. Let a(b) = -7*b. What is k(a(o))?\nAnswer: 539*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x**3 + 205*x**2 - 116*x + 1480. What is d(102)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c - 11. Let l be k(-14). Let w(s) = 1 - s + s**2 - 6*s**l + 0*s - 3 - 9*s**3. What is the remainder when 73 is divided by w(-1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 12:42 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.22 * 0.11.\nAnswer: -0.0242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -15, -1\/6, -1.33, 15\/82, 2, -1\/5?\nAnswer: 15\/82","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l - 9. Let y be k(-6). Solve -14 = 2*f + 6*b - 2*b, 0 = -5*f - y*b for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -6*a**2 + 10*a - 25. Let f(c) = 4*c**2 - 11*c + 25. Let z(b) = 5*f(b) + 4*u(b). Let v be z(-5). Solve 0*r + 4\/9*r**4 + 4\/9 + v*r**3 - 8\/9*r**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - ((-2)\/(-1) - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4029582 and 7387567?\nAnswer: 44325402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(1 + sqrt(63)) - -2*sqrt(63)*3)*1 + (sqrt(42) - sqrt(4200)*-2 - sqrt(42))\/(-1*-1*sqrt(6)))**2.\nAnswer: -128*sqrt(7) + 7172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -93\/7 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 q, and 2 m when four letters picked without replacement from {n: 3, q: 1, i: 2, m: 6, o: 4}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = c - 10, 0*c - 20 = -4*k - 4*c. Suppose k*g - 428 = g. Is 31 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -94 divided by -1\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of -r**3\/3 + 9*r**2\/2 - 8*r - 127. Let o(b) = -9 + 0*b**2 + 16 - 7*b**2 + b**3. Let y be o(7). Give w(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -82215 divided by 609?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 + 10*i + 15. Let l be a(11). Suppose l*y + 5*n - 73 = -26, 3*n = -5*y + 49. Let q(k) = 5*k + 2. Is 7 a factor of q(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 72\/33 + 3*(-2)\/33. Let r(x) be the first derivative of -1\/2*x**c + 3 + 2*x. What is the derivative of r(d) wrt d?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1696*i + 1737*i - 123 = 0. Which is the closest to i? (a) 4 (b) -2\/5 (c) -1 (d) -0.62\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 587*h**2 - 38*h - 292. What is the tens digit of r(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 4*n**2 - 7*n + 6. Suppose -4*c - 30 = c. Give r(c).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 7*w**2 + 11*w - 2. Let d be q(5). Let m(s) = 4*s + s**d + 34 + 16 + 2*s**2 - 47. Calculate m(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 3*g + 42, 2*g = 3*i - 3*g + 25. Let x be 4\/3 - 10\/i. Suppose 2*t - 4*t - x*k + 6 = 0, k - 11 = -2*t. Solve -t = -n - n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(825)*4)\/(sqrt(539) - 2*sqrt(539) - (sqrt(1100)\/sqrt(4) + sqrt(11))).\nAnswer: 100*sqrt(3)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13593\/138 - 100)\/(1 + (-37)\/40)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -269 + 266. Let a be (4 - 4)\/(2*1). Does 4 divide a - x - (-2)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -12 (b) 0.586 (c) 3\/7 (d) -581 (e) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + 0 + 0)*(-18*o + 68 - 28*o + 51*o).\nAnswer: 5*o**2 + 68*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 10 = 3*o - 2*v, 3*v = 2*o - 3. Suppose -o*y = -5*y - 14. Let b(w) = -w**3 - 11*w**2 + 18*w**2 + 3 + 2*w**3. Calculate b(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide (4 + (-6)\/4)*128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 - 2*z**2 + z**3)*(4 + z - 4) + (-5582 - 47*z - 23*z**4 + 21*z**4 + 5588)*(-4 + 3 + 0).\nAnswer: 3*z**4 + 47*z - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 1 - 1 + (1 + 2 - 2)*(-65*k - 52*k + 130*k))*(-1 + 0 + 0)*(2*k + 1 - 1).\nAnswer: -22*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11707\/1254 - 1\/418. Let m = -1\/83 - -89\/498. Calculate the common denominator of z and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, c: 5}. What is prob of sequence uc?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 4 = 0, z + 2*g + 15 + 6 = 0. Let m = -15 - z. Suppose m*u = 8*u - 12. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7862*h - 7805*h + 1026 for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2\/3, 287, 0, 5, -0.1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 - 322*g - 22890. Determine y(-216).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -558 = -8*g - 23*g. What is the greatest common divisor of 162 and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14344.\nAnswer: 2, 11, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -21736, -2, -3, -25, 0 in increasing order.\nAnswer: -21736, -25, -14, -3, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 6*n**3 + 12*n**2 - 12*n + 12. Let g(q) = q**2 - q + 1. Let f be ((-54)\/(-3))\/((-5)\/((-10)\/3)). Suppose -17*s + 19*s + 2 = 0. Give f*g(x) + s*m(x).\nAnswer: -6*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 8:34 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -100000?\nAnswer: -11011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 332014 and 1744.\nAnswer: 2656112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/57 and (-44)\/(-287)*(-7)\/3.\nAnswer: 2337","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2195 - 1366 = -214*u - 4521 for u.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(-1 - 0 - 1). Suppose c = -h*c. Let l be c + 0\/3 + 0. Let u(x) = -x - 9. Calculate u(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*q**2 + 35*q**2 - 422 + 413 to w*q**2 + m*q + b and give b.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 + 21 + 5 + -7 + 1 - (-2 + 3)?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 - -14. Suppose v - g = -d*g, 0 = 3*v + 4*g - 4. Let o be 3\/12 - (-5)\/v. Sort 5, o, 1 in decreasing order.\nAnswer: 5, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32962 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 70 - 58. Let l be (0 + 27)\/(4 - (-13)\/(-4)). What is the greatest common factor of h and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 424011273*q**3 + 833903280*q**2?\nAnswer: 2544067638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 168101 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/199, 0.33, -4?\nAnswer: 1\/199","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6967320 by 1393464.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 53095867 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does -648617 = -648616?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 11*x**2 + 2*x + 8. Let y be n(10). Let o be y\/(-140) - (-4)\/14. Let m = 0.1 + -0.1. What is the nearest to 0.1 in 0.3, m, o?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 79 = -h, 9*h + 96 + 52 = -5*s + 9 for s.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + u - 23*u)*(-u + 3 - 3) - 3 - 5 - 10*u**2 - u + 3.\nAnswer: 12*u**2 - u - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2 + 2 - 20*t**2 + 21*t**2. Let r(k) = -3*k**2 - 11. Calculate 8*b(g) + 3*r(g).\nAnswer: -g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*p**3 + 7*p**3 - 22*p**3 + 2*p**3.\nAnswer: -43*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 17, -3, 0, 3 in ascending order.\nAnswer: -3, 0, 3, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 5 + y + 5 + 23*y + 22*y + 11*y + (-1 - 3 + 2)*(-y - 3*y + 5*y).\nAnswer: 55*y - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 11:18 AM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -15*s - 29. Does 38 divide c(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 24 in -3, 0.07, -2\/19?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-4 - -13) - 8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 19 = -3*p, -2*y = -3*p + 3*y + 5. Suppose -3*o = -0*u + p*u - 43, -4*o = -4*u - 4. What is the biggest value in 0.4, 1\/2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6, -3, -1929.1, 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8247064 and 399.\nAnswer: 24741192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or -3463?\nAnswer: -3463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3. Suppose 0 = 2*k + 3*k, s + 2*k + 2 = 0. Let p = -13 - -8. Let v(b) = b - 7. Give p*d(r) + s*v(r).\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of -56*x**5\/5 - 419*x**4\/12 - x**3\/2 - x**2 + 2*x - 173. Find the second derivative of a(d) wrt d.\nAnswer: -1344","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(2\/25)\/((d\/d**(-5))\/d)*d*d**(1\/3)*(d*d\/(d*(d\/(d**(3\/4)*d))\/d*d)*d)\/d assuming d is positive.\nAnswer: d**(-551\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3520\/(-770)*7\/(-2). Solve -3*y - 5 = -2*f + g, 4*f - 12 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1269*a*x + 1367*x wrt a.\nAnswer: -1269*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/(sqrt(15)\/sqrt(3)) - (sqrt(33)\/(sqrt(11)*4) + sqrt(3)) - 2*(sqrt(30)*-1)\/sqrt(10)*-5)**2.\nAnswer: 5043\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a (base 12) in base 6?\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3440)\/200)\/(-43)*4.\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.307489 litres to millilitres.\nAnswer: 2307.489","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 + 3*d**2 + 9*d + 1. Let g be n(4). Factor g*j + 3*j**2 - 18*j**3 - 3*j**5 - 9*j**2 - 9 + 21*j**4 - 6*j**4.\nAnswer: -3*(j - 3)*(j - 1)**3*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of -i**4\/4 - i**3 - 3*i**2\/2 - 4*i + 3. Let d be m(-3). Suppose -d*r = -6 - 104. List the prime factors of r.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -143? (a) -5 (b) 4\/9 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = 5*b - 4. Let z(s) = s**3 + 10*s**2 - 11*s - 4. What is the units digit of z(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - (-560)\/(-68))*(3825\/(-68))\/45.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -621 - -644. Calculate the remainder when y is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8487608?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -23260?\nAnswer: -23256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11*676.1.\nAnswer: 7437.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g - 10, -2 = 3*c - g - 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 484661 (base 11) to base 7.\nAnswer: 6344314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -21881\/13398?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n - 13. Let u be p(-18). Suppose -3*i + 57 = -u*x - 75, -i - x = -36. Calculate the remainder when 77 is divided by i.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25871\/53298 - 48\/329. What is the common denominator of -1\/54 and r?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*y**4 + 4*y**4 - 2*y**4 - 5*y - 8*y**4 wrt y?\nAnswer: -144*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, b: 2, j: 4, f: 2}. What is prob of sequence xbb?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 114*r**2 + 1 - 120*r**2.\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 1 = -b + 9, 4*b - 27 = -3*y. Suppose -1486 = -l + b*u - 603, 3*l - 2633 = u. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 g, and 2 j when four letters picked without replacement from jpmjjjjjjjejjgejjjjg?\nAnswer: 364\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.63, 1.86, -0.41, -3 in decreasing order.\nAnswer: 1.86, -0.41, -0.63, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t**10\/t)\/t)\/t**(-2\/11))\/(t\/(t\/t**(-22))*(t\/((t*t**(-1\/10))\/t))\/t))**(-5) assuming t is positive.\nAnswer: t**(-3309\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gbdddtgynyyd. Give prob of picking 1 n and 1 g.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 13, w: 6}. What is prob of picking 1 w and 1 z?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g**3 + 3*g**2 - 103*g**4 - 57 - 20 + 35 wrt g?\nAnswer: -2472*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26546?\nAnswer: 2, 13, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -5*i**2 - 164085*i - 492210 = 0?\nAnswer: -32814, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6624, 33054, 77098, 138750, 218004, 314854, 429294, 561318?\n\"Answer: -d**3 + 8813*d**2 - 2*d - 2186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b0149 (base 13) to base 7\nAnswer: 2446423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*x**3\/3 - 5*x**2 - 3*x - 1\/3.\nAnswer: -(x + 1)**2*(7*x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 712 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 7*v**2 + 5*v + 4696*v**3 - 4697*v**3 - 4 - 13*v. Give q(6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-17)\/8) + 31\/8 + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 810497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 366 divided by -2.\nAnswer: -183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k - 6. Let y be j(6). Let q = 21\/4 - 5. Which is bigger: q or y?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 + -2042115444\nAnswer: -2042115443.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 99*z - 248. Let c be t(15). Suppose 0*y - 25 = -5*y, 30 = 5*d + 4*y. Suppose 0 = s - d*s - 3*l + c, -3*s = -2*l - 3733. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47640.02 millilitres to litres.\nAnswer: 47.64002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + 27\/(243\/36).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h + 6. Let q be d(6). Suppose o = r - 16, -2*o + q*o = -r + 17. Does 15 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*r + 15*r + 0*r = -238 for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0, 4, 3, -5\/29 in ascending order.\nAnswer: -5\/29, 0, 0.3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -7*n - 970. Let q = n - -150. What is the remainder when q is divided by 29?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-38)\/(-152)*44*(2 + 0). Sort c, -5, 5, 14, -2 in decreasing order.\nAnswer: c, 14, 5, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-247.\nAnswer: 49.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1671*n + 11 - 10 - 1)*(-6*n + 2*n + 3*n).\nAnswer: 1671*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -257c1 + 0?\nAnswer: -257c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-15 - -10 - -7)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 + 4*j**2 - 6*j - 1. Let q(s) be the first derivative of -s**4\/4 - 2*s**3\/3 - s**2 - 5*s + 91. Let y be q(0). What is m(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -59.1898149 * 4\nAnswer: -236.7592596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.207*431.\nAnswer: -89.217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 8173, 16400, 24643, 32908, 41201, 49528, 57895?\n\"Answer: v**3 + 2*v**2 + 8214*v - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 6*m**2 + 8*m + 10. Let o be (-8)\/(-2)*(-35)\/20. Let t be j(o). Solve -t = -l + 2*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + g**3 + 331*g**2 - 1 - 172*g**2 - 157*g**2 - 74*g as q*g**3 + l*g**2 + p + v*g and give v.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 2311001?\nAnswer: -2311012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 15*y**2 + 5*y - 3. Let g be 9 + (8 - (4 + -2)). Is 3 a factor of j(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31208588 and 2872?\nAnswer: 1436","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/(-81)*1056\/1760)\/(66\/351).\nAnswer: 26\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12451 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 293 - 289. Solve 0 = -h*w + 5*w + 2*p + 9, -2*p = 5*w + 29 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34)\/(-72)*23780\/40426*1\/1*6?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -8801*d**2 + 7*d - 10. Let a be z(5). What is a rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22411826?\nAnswer: 2, 79, 83, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 913020729 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11772 and 24?\nAnswer: 23544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 249, 499, 749, 999, 1249, 1499?\nAnswer: 1749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 5. Let f = 6.3 + i. Which is the third biggest value? (a) 4 (b) f (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6495226970 to the power of 1\/2, to the nearest integer?\nAnswer: 80593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 0*t + 2. Let c(v) = 2*v - 1 + t - v. Let g(w) = 2*w - 3*w + 0*w. Give g(c(p)).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 8:21 PM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**(1\/6)*u))**(-5\/7))**(-23\/3) assuming u is positive.\nAnswer: u**(-115\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t*t**(-2\/3)))**(-1\/5)*t**(4\/9)*t**(-2\/3) assuming t is positive.\nAnswer: t**(-5\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h - 6000 = 93*h - 181*h for h.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0064413912 rounded to 4 dps?\nAnswer: -0.0064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1676 divided by -4.\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -8375, -16750, -25123, -33494?\n\"Answer: s**2 - 8378*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90)\/(sqrt(45)\/(2*sqrt(5)))*-1)\/(-3*sqrt(20) - (-2*sqrt(320) - sqrt(320))))**2.\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -d**2*n + d**2*p**3 - d**2*p**2 - 4*d**2*p + 2443*d*n - 9*d*p**3 - 2253*n*p**3 - 3*p**3 + p - 2 wrt p?\nAnswer: 6*d**2 - 54*d - 13518*n - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32993174 is divided by 565?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110111101 - -10000001010101?\nAnswer: 1100010011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.048464103 to 5 decimal places.\nAnswer: 0.04846","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of 2\/3*u**3 - 1\/2*u**4 + 5\/2*u**2 - 30 + 0*u. Let z(s) = s**3 - 2*s**2 - 4*s. Give 2*h(q) + 3*z(q).\nAnswer: -q**3 - 2*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 a factor of 16897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 545108 is divided by 10686.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31288?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5150346050118 take away 0.005?\nAnswer: -5150346050118.005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36*n**4 + 168*n**3 - 244*n**2 + 112*n - 16.\nAnswer: -4*(n - 2)**2*(3*n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c*g**2 - 44980*c*g + 1519821*g**2 + 30*g wrt g.\nAnswer: 2*c + 3039642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -5*s**3 - 4*s**2 + 23. Let l(j) = -14*j**3 - 11*j**2 + 69. Let g(a) = -4*l(a) + 11*n(a). Differentiate g(h) with respect to h.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x + 5. What is the tens digit of u(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3 and 1514003916.5?\nAnswer: 1514003913.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26)\/156*24*1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/19 (b) 10 (c) 107\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 143610?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000059502625 to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-10 - -21) + -12)\/1. Suppose 0 = -2*m + m. Let j be 4\/(-5) + 1 + m. Is j equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 180*r + 5159. Calculate l(-30).\nAnswer: -241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/11 + 140*r\/11 + 2450\/11.\nAnswer: 2*(r + 35)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 12:28 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q + 3*q + q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1600375, 3200723, 4801069, 6401413, 8001755?\n\"Answer: -d**2 + 1600351*d + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/3 > 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 132 and 807048?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6265)\/(-140) - 45)*((-312)\/3 + 4).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/9 - 6268*s**2\/9 + 1587880*s\/3 + 25842800.\nAnswer: 2*(s - 1590)**2*(s + 46)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 a when two letters picked without replacement from tyaysayyazttatssysty.\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4\/8 - 205*g**3\/4 - 1653*g**2\/8 - 621*g\/4.\nAnswer: g*(g - 414)*(g + 1)*(g + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 4)*(5 - 28\/4). Let x be h - (4 - (-5 - -3)). Suppose 2*g + 2*f = 4, -g + 2*f + 1 = -4. Sort x, 4, g, 1 in ascending order.\nAnswer: x, 1, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 9321?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 5 + 3 + -7 + (-2 - 20).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*m**4 + 6*m**2 + 16*m**4 - 4 - 5*m**2 - 8*m**3 + 5 as o*m**3 + i*m**4 + h + f*m + t*m**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.4 - 834110527.282?\nAnswer: -834110517.882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 5, -3*b + k + 3 = -2*k. Solve d - 3*d = b for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2037887 to the nearest integer?\nAnswer: 1428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mxbfxeb. Give prob of sequence xx.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 854 + -546. Let g = b + -123. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 140 - 140. What is the smallest value in -0.8, w, 2, 3\/2?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.20288 and -1247.\nAnswer: 6487.99136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of 23*g**4\/12 + 8*g**3\/3 - 18*g - 23. Let y(x) be the first derivative of f(x). What is the second derivative of y(m) wrt m?\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*z + y + 10, -2*z + 116 = 5*y + 118 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -6*c - 1. Give v(4).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 0 = -4*a + 8, -5*a + 9 = 4*n for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 157, 438, 719, 1000, 1281, 1562?\nAnswer: 1843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 i when two letters picked without replacement from {s: 1, n: 1, i: 2, w: 2, g: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000179859804 rounded to 7 decimal places?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -1. Let v(g) = g**3 - 3*g**2 + 2*g - 3. Let f be v(3). Suppose f*c = -c + 20. Solve j*t = c*t + 5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-50)\/(-45))\/(1\/(-18)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w + 17. Let d be h(-15). Suppose m = -2*y + 4, -d*m = 3*m + 2*y - 20. Solve 2*v + 5*z - 11 = -v, m*z - 14 = -5*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -966670.8417 - -966727. Let p = -1019.0583 + 1019. Let a = w + p. Round a to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3}. What is prob of picking 3 d?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1321270 - -10750568.\nAnswer: 12071838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2722680 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -112 - -159. Let v = 52.67 - y. Let f = 5.67000291 - v. What is f rounded to 7 dps?\nAnswer: 0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2 + (-1*sqrt(243) + sqrt(243) + -1)**2 + (sqrt(54)\/sqrt(2) + sqrt(27) - (4 + 0 + sqrt(3))).\nAnswer: -10 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(228)\/(-1*sqrt(12)) + (sqrt(19) - (0 + sqrt(684)))**2.\nAnswer: -sqrt(19) + 476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 219 and 292?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3074*-246.\nAnswer: -756204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/4 and 9\/6*38\/(-16)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (14\/(-5))\/(7\/(-35)) and 4\/6*12\/2.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z**2 - 109*z + 451. Determine d(50).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -26\/2565?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 PM and 5:19 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*i + 7*i + f + 11, 0 = i + 2*f + 10. Solve 0 = p - 0 - i for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7591*b**2*r**2 - 67*b**2 - 3*b + 102*r**3 - 2465 wrt r?\nAnswer: 15182*b**2*r + 306*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/3, -962, -2\/11, 14, 0.1, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -211 + 213. Suppose l + 2*s = -0*s + 10, d*l - 4*s + 4 = 0. Solve w = -w - 3*h - l, -4*w + 5*h + 36 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hzhhhhyyhhhzhhh. Give prob of sequence hyhz.\nAnswer: 11\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a8697 (base 15) in base 7?\nAnswer: -23311600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/(-15))\/(2\/(-10)). Let f be u\/5 + (-132)\/(-30). Solve -f = -5*y + 6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-8)\/14)\/((-74)\/259). Solve 0 = -2*a + 3*i + 8, v*a - 6*i - 16 = -i for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/(-7))\/4*(-1)\/(-4)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 7743147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.248 or 689674?\nAnswer: -0.248","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6362 - -6366. Suppose -5*n + 155 = -0*n. What is the lowest common multiple of n and m?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -19*d**2 + 2762. Is l(0) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55 + 3705980.\nAnswer: 3705925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 18 - 51. Let u = -13 + s. Calculate the lowest common multiple of u and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 PM and 3:39 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - 24 - -20) + (13 - 3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -19 + 41*x**2 - 19*x**2 - 20*x - 23*x**2. Let v be l(-19). Put 4, 10, v in increasing order.\nAnswer: v, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 29\/((-3393)\/(-52)) - 58\/(-72). Sort -3, 2\/7, w.\nAnswer: -3, 2\/7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 56080499?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 106, -873, 2 in ascending order.\nAnswer: -873, 2, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/5*(-2195 + (-25)\/5). Suppose d - 2*z = 341, -z - p = -5*d + 825. What are the prime factors of d?\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -36, -33, -30?\n\"Answer: 3*o - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 - 3. Let h = -14 - -12. Let r = 2 + h. Calculate w(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/(3381\/23)*(-112)\/(-24).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/13, -47, 2\/3, 0, -3\/8 in increasing order.\nAnswer: -47, -3\/8, -4\/13, 0, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 36 = -5*j. Let c(v) = 2*v - 8. What is c(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -99744, 87.\nAnswer: -99744, -2, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {u: 3, a: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 5, 0 in decreasing order.\nAnswer: 13, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1469259 or -5877033\/4?\nAnswer: -1469259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -2. Factor 2*s**2 + n*s - 77 + 79 - 4*s.\nAnswer: 2*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -62.884 + 31.885. Let r = c + -0.001. Let d = 26 + r. What is the third biggest value in d, 0.08, 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((-1*sqrt(176) - sqrt(176) - sqrt(176))*1)\/sqrt(8))\/((-4*sqrt(88)*-2)\/(sqrt(384)\/sqrt(3))) + 0.\nAnswer: -3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 777 is divided by 335.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14)\/(-3) + 1808\/(-678). Find w, given that -1\/10*w**k + 3\/5*w + 8\/5 = 0.\nAnswer: -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 295148125373 + 0.426.\nAnswer: 295148125373.426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -3*p**2. Let t be g(1). Suppose 0 = n - 55 - 49. Let r(c) = c**2 + c + n - 203 + 98. Determine r(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j + 22. Calculate s(-9).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p - 13. Suppose -5*l - 4*s - 29 = 32, 2*s - 67 = 5*l. Let m be n(l). Let f = 25 - m. What is the remainder when 20 is divided by f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/1685877?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 + 6*o + 2. Let c be v(6). Suppose i = -c*i + 6. Suppose 0 = u + i, p - 3*u - 6 = -2*u. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 98*o - 231681 + 231681 + 2*o**2.\nAnswer: 2*o*(o + 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2002 is divided by 638.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1215040 (base 6) to base 8.\nAnswer: -176140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-14835)\/(-25) - (-4)\/(-10)) + 1. Suppose -4*j + h + 610 = 0. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28459 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d - 12. Let x(n) be the third derivative of 6*n**2 + 0*n**3 + 0 + 0*n - 1\/24*n**4. Give x(f(a)).\nAnswer: -a + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -22, 0.5 in increasing order.\nAnswer: -22, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, o: 1, p: 2, a: 5, e: 2, d: 4}. Give prob of sequence ad.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 499414 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - 19. Let m(w) = -w**2 - 8*w + 1. List the prime factors of m(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 PM and 8:33 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 0 = -5*c + 4, -3*a = -2*c + 3. Suppose 5*q + 1 = 16. Let g be -1 + c + q - -4. Solve -4 = g*x - 2*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 182.298, -0.3, -11 in decreasing order.\nAnswer: 182.298, -0.3, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18268 - 18264. Let w = -13 + 8. Let i be (-54)\/(-5) + (-1)\/w. Solve i + l = -3*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1701493089+-0.92\nAnswer: 1701493088.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 240 = -0*o. Let h = o - 23. Solve -5*l + h = 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 20*z**2 + 79*z - 2. Let u be h(-4). Find j, given that 0*j + 1\/3 - 1\/3*j**u = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14928.67 to the nearest one hundred.\nAnswer: -14900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1148909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 361773 is divided by 13393?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.3 - -7.8. What is the nearest to 0.1 in -4, l, -17\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/35)\/((-2)\/(-120))*(-427)\/(-122).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54a9 (base 12) to base 2.\nAnswer: -10010010000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 962.585t to nanograms.\nAnswer: 962585000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d**2*v**2*y - d**2*y**3 - 516*d*v**2*y**3 - 72*d*v*y**2 + v*y**3 wrt v.\nAnswer: -2*d**2*y - 1032*d*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4 = 3*d, 2*u + 3*d + 5 = -0*u. Put -5, u, -8 in increasing order.\nAnswer: -8, -5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -85 + 90. Suppose c*k + 2*j - 5*j - 34 = 0, -5*j - 40 = -5*k. Solve -3 = 4*v + k for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 500 - 561.5. Let v = t + 59.5. What is the fourth smallest value in 1\/5, 51, v, 2\/13?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 136*(-18)\/60*1\/4*320\/(-48).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -19, -48, -91, -148?\nAnswer: -219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from 779903926663.\nAnswer: 779903926663.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/258 and (-16)\/(-26218 + 10) + 2\/7.\nAnswer: 10062","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*t**2 - 12130*t - 60525 = 0. What is t?\nAnswer: -2421, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 9:56 AM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 103520248?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + 19*y - 20. Let c be l(-15). Let n = 82 + c. What is the second derivative of -2*o - 4*o**2 + 15 - 3*o**2 - 1 - o**n wrt o?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4b - 3?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7219539 and 1035.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22 + 19)\/((-8)\/(-1))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand k + k - 4*k + (1 - 1 - 1)*(-5*k - 133 + 133)*(4 - 7 - 6).\nAnswer: -47*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2*d + 2 - 5*d)*(-5*d**2 + 15*d**2 - 3*d**2)*(-d + 0 - 5 + 3) + 17*d**4 - 9*d**4 + 3*d**4 as l*d**3 + v + i*d**4 + z*d + w*d**2 and give w.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.7829806m?\nAnswer: 782980.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 69, 69, 67, 63, 57, 49?\n\"Answer: -o**2 + 3*o + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 10:41 AM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8005727 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, -3, -762, 2 in ascending order.\nAnswer: -762, -3, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = g - 18. Let q = -6 + 37. Let n = 58 - q. What is the highest common factor of g and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-140) - (-3 + (-52)\/(-20))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.25 - -18.75. Let o = x + -22.4. Let h = -3.6 - o. Which is the closest to -0.1? (a) -4 (b) h (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 2:55 AM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/126 and 55\/6306.\nAnswer: 132426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of -9\/2*r**4 - 32*r**2 + 0*r**3 + 0*r + 0 + 1\/4*r**5. What is the second derivative of n(h) wrt h?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4928, 4636, 3792, 2120, -656?\n\"Answer: -46*l**3 + 30*l + 4944","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-30) - (-9)\/5. Let j be (6 - 6) + d\/(-6). Let x = -35 - -37. What is the second biggest value in j, x, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3 + (sqrt(2156) - (sqrt(2156)*-3 + sqrt(2156)) - ((sqrt(1100)*1)**2 + sqrt(1100) - sqrt(44)))) + 4.\nAnswer: -34*sqrt(11) + 1107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -348210283 divided by 1?\nAnswer: -348210283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3459777 divided by 12\nAnswer: 1153259\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 4*l - 24. Let d be k(7). What is the third derivative of 128*j**d + 3*j**5 - j**5 - j - 126*j**4 + 78*j**2 wrt j?\nAnswer: 120*j**2 + 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1005)\/(-1608) + -117*(-3)\/(-24)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -6*n - 2. Let q(u) = -7*u - 3. Let o(x) = x**2 - 2*x - 58. Let j be o(-7). Determine j*m(r) - 4*q(r).\nAnswer: -2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -4 + (0 + (2*(sqrt(56)*1 + sqrt(56)))\/((sqrt(16)*3)\/sqrt(2)) + 3)**2.\nAnswer: 112\/9 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1449 by -69.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus 1128151494481.1?\nAnswer: -1128151494480.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 120567.3 times -0.3\nAnswer: -36170.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*r + 5. Let q(b) = -5*b + 3. Let n(p) = 5*p - 3. Let y(g) = -5*n(g) - 4*q(g). Let u(m) = -m + 1. Let k(f) = 6*u(f) - y(f). What is k(r)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y*y**(-4\/7))**(-10)*y**18*y**(-10\/3))**(2\/101) assuming y is positive.\nAnswer: y**(-4\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110010000010 + -10?\nAnswer: -110010000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjh when three letters picked without replacement from {s: 3, h: 6, j: 6, y: 4}?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -147 - -446\/3. Let r = -16 + 95\/6. Let x = 33 - 33. Which is the closest to x? (a) r (b) 0.3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -4*b**3 - b**2 + 24*b + 3. Let f(m) = -m**2 - 1. Let y(r) = c(r) + 3*f(r). Suppose y(g) = 0. Calculate g.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1256150?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 80*18*(-108)\/(-24). Let w be g*(2 + 127 + -4). Round w to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129*g**3 + 503*g**3 - 129*g**3 - 120*g**3 - 126*g**3.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 3*f**2 - 3*f + 5. Let b be 14*-1*(-14)\/49. Let v be k(b). Solve 0 = 2*j + 3 - v for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -24514767, -24514762, -24514757, -24514752, -24514747, -24514742?\n\"Answer: 5*q - 24514772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -28*i**3 + 30*i + 623. Let p(a) = 70*a**3 - 74*a - 1558. Let k(y) = -12*f(y) - 5*p(y). Differentiate k(h) with respect to h.\nAnswer: -42*h**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 881832\/(-88305) + (-4 - -14).\nAnswer: 2\/145","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 113*h + 1673. Calculate w(-19).\nAnswer: -474","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33.47 - -42.675. Let r = 9.3 - i. Round r to 2 dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*f = 164*f - 855 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -0.109?\nAnswer: -0.327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = -5*t + 239, -9*a - t - 405 = 229 - 84 for a.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3699638 + -5632\nAnswer: 3694006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**2 + 2*k**2 + 4*k - 3*k**3 + 96*k**4 - 893 + 893 - 2*k**2 in the form f*k**2 + t*k**4 + n*k + b*k**3 + x and give t.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wvdvvddwwrvvvggrvr. Give prob of sequence vvw.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n + 16*n = -16*n. Let w = -84 - -83.98. What is the third biggest value in n, w, 26?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 477 divided by -337.\nAnswer: -477\/337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 + 6*n + 4. Let z(h) = -h**2 + h - 1. Give m(f) + 2*z(f).\nAnswer: -f**2 + 8*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/21 (b) 4\/3 (c) 0 (d) -33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15*8*16\/(-7360)?\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21044906?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/17, 1.8, -0.5, 2\/47?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j**3 - 55*j**2 - 28*j - 22. Calculate k(28).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 3*f**3 + 6*f**2. Suppose -96*z - 80 = 400. Let t(k) = 4*k**3 + 5*k**2. What is z*s(x) + 4*t(x)?\nAnswer: x**3 - 10*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21293423*7.\nAnswer: -149053961","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 65330, 261412, 588214, 1045736, 1633978?\n\"Answer: 65360*n**2 + 2*n - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -7*p**2 + 161 - 2*p**2 - p**3 + 8*p**2. What are the prime factors of s(0)?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (6*((sqrt(176)*1 - sqrt(176)) + sqrt(176)) + sqrt(176))**2*4 + -2 + -2 + sqrt(275) + -1.\nAnswer: 5*sqrt(11) + 34491","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a year in months?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17.377 - -14.7338. What is r rounded to one dp?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -25, -14*x - 14497 = -18*x - k. What is x rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 636 + 84 = 0. Calculate the lowest common multiple of 55 and n.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*l*v**3 - 3*l + 695*v**3 wrt l.\nAnswer: 2*v**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in fourty-three thirds of a day?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 3.1. Let p be ((-10)\/8)\/((-3014)\/5480 - (-1)\/(-5)). Which is the closest to d? (a) 0.4 (b) 0.04 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/15408 and 17\/1680.\nAnswer: 539280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 390465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 5*d + 5. Let i(m) = -1. Let t = 236 - 233. What is t*i(s) + g(s)?\nAnswer: 5*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 0. Let u be (4279 - 4\/(-1))\/11. Let z = 389 - u. Which is greater: k or z?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, e: 1, u: 2, v: 1, g: 2}. Give prob of picking 1 u, 1 e, and 1 v.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does -1\/29057095 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/((7 + (-65)\/10)\/(28\/8)). Calculate the highest common divisor of r and 8162.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4 = -m, 18*m - 22*m + 16 = 0. Suppose -4*k + 5*d + 112 = r, -k - 84 = -4*k - 5*d. Solve k = -u - 5*n, n + 34 = -3*u - 4*n for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-28)\/(-3)*(-184)\/64. Let y = c - -19. What is the common denominator of -13\/12 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -82, -58, -34, -10?\n\"Answer: 24*m - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15934627?\nAnswer: 17, 937331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + 4 - -3 - -2) + -6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -164 - -160. Which is the nearest to 8? (a) 0.5 (b) p (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2*sqrt(3))**2*4 - (-1 + sqrt(363))**2*-2.\nAnswer: -44*sqrt(3) + 968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 0 + 4 = 0. Let t be -3*6\/9*o. Solve 4*y = -0*y + t*i - 28, 5*i = -y + 15 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 13\/8 of a millimeter?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3*p**3 + 322*p**2 - 21196*p + 1655. Calculate v(46).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-4)\/(-10) - 1) + 6997874\/290.\nAnswer: 2, 5, 19, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -156296848.5 to the nearest 1000000.\nAnswer: -156000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(152)\/(sqrt(4)*-2))\/(1*((sqrt(242)*-2 - sqrt(242)) + sqrt(2))).\nAnswer: -sqrt(19)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 845 + -843. Which is the closest to 0.01? (a) u (b) -1\/3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -113, -3, -0.07 in descending order.\nAnswer: -0.07, -3, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 39*h - 1. Let g(m) = -20*m. What is 5*g(z) + 2*l(z)?\nAnswer: -22*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fourty-three halves of a century?\nAnswer: 215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 99161 and 158719?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8380072 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -k**2 - 4*k**2 - 3100*k + k**2 - 394*k**4 + 812*k + 345*k**4 wrt k.\nAnswer: -588*k**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 - 5\/(-10)*86. List the prime factors of 192*(t\/(-12) + 4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2014 - 478. Suppose i = 3*x + 5*x. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 - g. Let p be b(2). Let u be (-7)\/3 + (-2)\/p. Let t = 61 + -60. Which is greater: t or u?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36*(-69)\/(-8280))\/(((-6)\/(-5))\/(-2))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 9. Suppose c*w + 10 = -4*v, 0 = -5*w + 2*v - 1. Let r(i) = -3*i + 1. What is r(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 392790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/8*(2 + -5 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 524 and 446448.\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 1309734?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -76927*h**4 - 33*h - 2610 wrt h?\nAnswer: -923124*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/35))**(-6))**(-1\/4) assuming o is positive.\nAnswer: o**(3\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 666189391 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*c + 3923592*c**2 - 87*c.\nAnswer: 3923592*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-30)\/(-4) - 22\/44. Let u = w + 1. Let f(a) = 3*a**2 + a. Let z be f(-1). Calculate the greatest common factor of z and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y + 1. What is r(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 648?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1444 and 354502?\nAnswer: 722","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4934 + -138099\/28. Calculate the common denominator of -111\/14 and v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -236 - -242. Let a(u) = -u**2 - 11*u - 5. Let w be a(-11). Let b(f) = 2*f**2 - 5*f - 1. Let p(d) = 3*d**2 - 6*d - 1. What is l*b(g) + w*p(g)?\nAnswer: -3*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0096193 rounded to 4 dps?\nAnswer: 0.0096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v**2\/5 - 780*v - 253500 = 0 for v.\nAnswer: -650","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49636 divided by -12409.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -89212 and -0.07.\nAnswer: 6244.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do -770 and -770 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.25*-0.12\nAnswer: 0.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3432 + -3436. Let k = -35\/2 - -19. What is the closest to 1 in c, k, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5128 + 1507. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-5 + 16 + -8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 0*l = 65. Let y = 10 + -6. Suppose -2*a = n - l, -y*a = 3*n + 2*n - 41. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/15)\/(11\/((-165)\/12))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -1. Suppose -r*h - 74 = 34. Let o = h + 54. What is the greatest common factor of o and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2080 + 1768 = -52*d for d.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in months?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -5 + 17 - ((2 - -1) + 5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 192 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 36\/(-45) + 64\/5. Let y be (9\/(-24))\/(l\/8). Suppose -2*n = -4*n - t + 6, 5*n + 5*t = 5. Which is the second smallest value? (a) -5 (b) n (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32790 divided by 2062\nAnswer: -16395\/1031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4138*o**3 + 4138*o**3 + 69*o**4 - 6*o**4 + o**4 - 2*o**4 + (-o**3 - 4*o**3 + 4*o**3)*(-o + o + o) - 4*o**4 - o**4 + 4*o**4.\nAnswer: 60*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-2) - (-1 - 0). Let y = -1077173 + 1077168. Sort c, 4, 12, y in descending order.\nAnswer: 12, 4, c, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.159 + -117.159. Let x = -58 - i. Let h = x + -58.9999826. What is h rounded to six decimal places?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -h**4\/12 + 5*h. Let n(c) = -5 - c + 5. Calculate v(n(y)).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 12*m + 1. Suppose -7*d = 139 - 475. Calculate the remainder when d is divided by l(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -602, -641, -688, -743, -806, -877, -956?\nAnswer: -1043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**4 - 7*m**3 - 3*m**2.\nAnswer: -m**2*(m + 3)*(2*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -60484264.37 from -1.\nAnswer: 60484263.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*j*l**3*y**4 - 2*j*l*y**3 + 543*j*l*y - 3*l**3*y**2 + 2*l + 200*y**4 wrt y.\nAnswer: 48*j*l**3*y - 12*j*l + 4800*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*x = -22 - 1841. Calculate the highest common divisor of 135 and x.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -94423.16.\nAnswer: 377692.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 23.04 (c) -24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -166, -581, -1234, -2245, -3734, -5821, -8626, -12269?\n\"Answer: -20*c**3 + c**2 - 278*c + 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 v, and 2 q when four letters picked without replacement from jqqhqzvvq.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**3 - 15*c**2 - 80*c - 60.\nAnswer: 5*(c - 6)*(c + 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - (3 + -7 + 6 + -2). Suppose -397 = k*t - 3*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19305335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5745197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -9*i + 12*i. Let r = -15 + 20. What is the third biggest value in -5, i, r?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -15.23, 36\/5, -0.01, 4.1?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1704276 or 15338477\/9?\nAnswer: 1704276","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 12*-1*(-138)\/828?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2564 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g. Let k(m) = -2*m**3 - 3*m**2 + 4*m + 1. Give k(v) + 3*w(v).\nAnswer: -2*v**3 - 3*v**2 + v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2 + 98073*o + 150650010.\nAnswer: -3*(o - 34161)*(o + 1470)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 5*f = 0, -m = 3*f - f + 2. What is the highest common factor of m and 422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 8*u**3 - 5*u - 4. Let r be l(-2). Let p = 21 + r. Let q = p + 211. List the prime factors of q.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (147\/196)\/((-30)\/(-8)). Let y = 487\/795 - 2\/159. Factor 4\/5 - 4\/5*t**3 + 4\/5*t - q*t**4 - y*t**2.\nAnswer: -(t - 1)*(t + 1)*(t + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4\/5, 0.19, 4, 13, 0.06.\nAnswer: -4\/5, 0.06, 0.19, 4, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, -2, 176\/3, -0.4, -81?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 60, 93, 128, 165, 204?\nAnswer: 245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 7*g - 36. Let m(u) = -8*u + 38. Give -5*j(c) - 4*m(c).\nAnswer: -3*c + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 4*v. Let o(h) = 105*h**2 + h + 77659. Give o(d(s)).\nAnswer: 1680*s**2 + 4*s + 77659","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3606.\nAnswer: 2, 3, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of -c**5\/30 - c**4\/8 - c**3\/2 + 14*c**2 - 14. Determine j(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 72\/16) + 3 + 94\/(-4)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5e4e - -1?\nAnswer: 5e4f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35011.65*-0.4.\nAnswer: -14004.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/5 (b) 2\/7 (c) -2\/3 (d) 341.9 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-2) - 6 - (18 + -22)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110010000 (base 2) to base 16.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*d**2 + 23*d**2 + 15*d**2 - 44*d**2.\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 23*n + 8. Let m(y) = 11*y + 4. Determine -13*m(o) + 6*t(o).\nAnswer: -5*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 664075879?\nAnswer: 17, 39063287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*4\/(-120)*1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -7*u**2 - 542669385 + 3*u**2 + 542669385. Let a be (1 + 9\/(-6))*-10. Let n(w) = -w**2 + 5 - a. What is n(q(g))?\nAnswer: -16*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6161 + -1404. Does 148 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*-1)\/(86\/((-8084)\/(-2209)))?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7690764 divided by -17.\nAnswer: 7690764\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1423 and 75088864.\nAnswer: 1423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000317422 rounded to 7 decimal places?\nAnswer: 0.0003174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5183\/153 + 280\/9. Calculate the common denominator of r and (266\/(-70))\/(4\/5).\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*x**2 - 7*x**2 - 3*x**3)*(x - x - x).\nAnswer: 3*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -3\/8, 0.03 in descending order.\nAnswer: 0.5, 0.03, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a**2\/5 + 2053*a\/5 + 342\/5 = 0. Calculate a.\nAnswer: -342, -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1a - 82ab7?\nAnswer: -82a9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.599075 + -4.595. What is f rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60984 and 79333408?\nAnswer: 714000672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 4*g**3 + g**2 - 5*g + 2. Let k(q) = -29*q + 262. Let t be k(9). Let n be d(t). Let s = -8 - -5. What is the third smallest value in 4, n, s?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -8 + 37 + 6 + 2 + -16?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -36, 0.3, -27.994.\nAnswer: -36, -27.994, 0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -1, -0.89, 548, -2\/3, 3.\nAnswer: -1, -0.89, -2\/3, 0.5, 3, 548","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkxylyxyxytykyzyyyyy. Give prob of picking 1 y and 1 l.\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0711615 <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62, 126, 200, 284?\nAnswer: 378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ceevclcueecuglecc. Give prob of sequence cceg.\nAnswer: 5\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27204964 divided by -1600292.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wsr when three letters picked without replacement from srqcmcwcwwsm?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -5. Suppose -3*h - 3*y = -5 - 13, 2*h - 2*y + 4 = 0. Solve -3 + 7 - l**4 + h*l**2 - n = 0 for l.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 12) to base 10.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2 + sqrt(637) - sqrt(637))**2 + -5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5070272 is divided by 563362.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**3 - p**2 + 99. Let m be v(0). Let j = -101 + m. What is the units digit of ((8\/(-6))\/2)\/(j\/243)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 23872 - 0?\nAnswer: 23872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (13\/5 - 1)\/(4\/290). Suppose -124 - i = -r. 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: Which is greater: 388 or 537?\nAnswer: 537","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -102898916410317483611\/8290373465640067680 + -34\/5631435078823. Let u = -5410\/3067 - l. Let z = u - -3\/160. Find the common denominator of 39\/4 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 5*s + 4*s + 40 = 0, 2*s = -8. Calculate the remainder when (-2)\/(-10) + 642\/15 is divided by b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, j: 9, x: 1, p: 5}. What is prob of picking 3 p and 1 j?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4 - 184\/(-44)) + 4\/(-22). What is the biggest value in 1, y, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 - -17. Let o = -9.5 - t. Let x = o + 2.5000037. What is x rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -71?\nAnswer: 7.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 613*h**2 - 660*h**2 + 1 - 606*h**2 - 614*h**2 + 2479*h**2.\nAnswer: -14*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(3 + sqrt(57)\/sqrt(3)) - (-3 + sqrt(19) + (2*sqrt(19))**2 + 0)) + ((0 + sqrt(76))*3)**2*-1*1.\nAnswer: -748 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 5*j. Let f(d) = -d. Calculate 24*f(t) + 3*v(t).\nAnswer: -9*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 3 + 0 + (-9 - -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -883 > -1\/723?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -3*c - 2. Let w be b(-2). Suppose -4*k = -w*v + 8, -3*k - 5 = -4*v + 6. Which is smaller: 3 or v?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 1:22 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 273858 and 208.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 33*d**2 - 33*d + 36. Let p be w(-34). Which is greater: 2\/213 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1026*(-30)\/(-405))\/1?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2886528703?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 12*k**3 - 6*k**2 - 2*k + 39. Is 27 a factor of b(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 457947803 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -5. Let h = f + -5. Which is greater: -6 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - 7. Let j = -1 + a. Solve -j*u - 2 = -u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28891739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 4*g**2 + 5*g - 5. Let a(o) be the first derivative of -4*o**3\/3 - 3*o**2 + 6*o + 10. Calculate 5*a(j) + 6*p(j).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 0. Let f = -0.06 - -0.33. Let r = -1.73 - f. Sort r, j, 1 in ascending order.\nAnswer: r, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 9, m: 5}. What is prob of picking 1 m and 1 v?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -5 + 10. What is the second biggest value in 0.2, -0.3, -1, z?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -495.6394 to one decimal place.\nAnswer: -495.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m - 2. Let l(t) = -t - 1. Let b(j) = -7 - j + 3 + 0. Let p be b(-6). Give p*c(s) - 3*l(s).\nAnswer: s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-18)\/(-9) + 1 + -1. Let v be (-2 - -4) + a + 25. Let f = v - -6. Is 12 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7922672.\nAnswer: 2, 23, 21529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 20*x**2 + 157*x - 173. What is the ten thousands digit of d(37)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5*(-54)\/(-315) + (-1)\/7. Suppose 7*r - 2*r + 40 = 0. Let s be -3*(0 - r\/6). Sort -6, s, v in increasing order.\nAnswer: -6, s, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in five eighths of a milligram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 0.97. Let o = -32.03 - g. Let d = o + 31. Which is the second biggest value? (a) d (b) 3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1652?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2457.6 - -2679. Let g = -154.32 + j. Let r = 65 - g. What is r rounded to 1 decimal place?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8 and -432116.84.\nAnswer: -432124.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z**2 - 4*z - 1. Let o be n(3). Suppose 0 = 2*p + b - 17, p + 3*b = -0*p + 6. Let t = o - p. Solve -t*h + 2*h - a + 1 = 0, -4*h + 5 = 5*a for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - -608?\nAnswer: 604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1944 - 1958. What is the nearest to -0.4 in 0, -4, g, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 6*c**2 - 911*c + 3627. Determine h(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 2*f + 2)*(-1 + 1 + 2*f**3) + 0*f**3 - f**4 + 0*f**3 - 2*f**4 - 6 - 3*f**4 + 7)*(5968 - 5968 - 139*f).\nAnswer: 1390*f**5 - 139*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 331633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**2*u**(-6))**(-2\/7) assuming u is positive.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/(-28) - 1864\/(-6622). Let l = c + 976\/7095. Let m = -18.8 + 19. Is l < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 5*p**2. Let n be (-3)\/(-1*(1 - 0)). Let a be n + -1 - (1 + -1). Let u(i) = -5*i**2 + 3*i**2 + i**a. Calculate o(u(q)).\nAnswer: 5*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b - 3. Let c(x) = x - 1. Let w(j) = -c(j) - l(j). Let o be w(0). Suppose 0 = -r + 1 + o. Solve -5*p = -4*n - 18, 4*n + 1 + r = -p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/12*16\/22. Let r = 5396\/5 + -1079. Sort s, r, -4 in ascending order.\nAnswer: -4, s, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-9) - 13\/(-45))*6.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*o + 2 = 27*o + 3*a, 2*o + 4 = 3*a. Let n(f) = -56*f**3 - o - 7*f + 27*f**3 - f + 6*f + 0. What is n(-1)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-5))\/((-1)\/(60\/96))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-12685)\/(-177))\/43)\/1.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/3 (b) 4 (c) -0.3 (d) -1.1 (e) -2\/5 (f) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55862068 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 66811 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = v - 4*x, -4*v - 24*x + 26 = 4*x - 11*x for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-10)\/8)\/5)\/((525\/(-1740))\/35).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from vrgcrrorervvrocrr.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand j - j - 6*j + (1 - 4 + 2)*(27 - j - 27) - 2*j + 2*j - j.\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**5 + 8*y**4 + 22*y**3 + 12*y**2 = 0. Calculate y.\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-40)*2385\/106\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 57\/5 of a meter?\nAnswer: 1140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 396 = 11*s - 594. Is s a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 110529*b**3 + 3*b**2 + 5*b - 6. Is s(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + (3 - (-2 + 4)). Find the third derivative of b**2 + 0*b**4 - 2*b**4 - p*b**2 wrt b.\nAnswer: -48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 20*d - 16. Let q(j) = -61*j + 47. Let v(n) = -8*i(n) - 3*q(n). Let s(g) = 11*g - 6. Give 13*s(c) - 6*v(c).\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37135*h + 5 - 5 + 50101*h.\nAnswer: 12966*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 24230 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4\/6321055 - 587447246377\/75852660. Let k = m + 7734. What is the common denominator of 1\/2 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j**2 + j + 2. Calculate t(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x**(4\/3)\/x*x))\/x)\/(x**3*x)*(x**(-1\/17)\/x)\/(x*x**19*x) assuming x is positive.\nAnswer: x**(-1448\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/1252 - 4772\/1565. Calculate the common denominator of 6\/72*63*(-1)\/(-39) and q.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 2*z - 33, z = -b + 2 - 8. Is b at least -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 126 = 430. Suppose a = f + 2*v, -123 = -4*f + 3*v + 225. Is f a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -569, 2, 4, 3.5, -0.1, 12 in ascending order.\nAnswer: -569, -0.1, 0.5, 2, 3.5, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1667 or 1665?\nAnswer: 1665","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3895, 31086, 104879, 248578, 485487, 838910, 1332151?\n\"Answer: 3884*t**3 - 3*t**2 + 12*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 15\/4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 10*t**3 - 2*t + 1. Let j(g) = g - 3. Let z(o) = o + 11. Let h(b) = -2*j(b) - z(b). Let v be h(-2). What is f(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - 12. What is t(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d\/d**(-12)))\/d*d*d**10)**(-11\/9) assuming d is positive.\nAnswer: d**(11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3*b**2 - 1. Let h be z(-1). Suppose -4*q = 2*l + 4, h*l - l - 5*q = 12. Solve -4*k = -l*o + 4, 5*o + 2 = -2*k - 24 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h. Let c(s) be the first derivative of -32*s**3\/3 - 8. Let z(d) = 31*d**2. Let m(r) = 2*c(r) + 3*z(r). Give m(w(u)).\nAnswer: 29*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 - 10*q + 19. Let o be i(9). Calculate the highest common factor of 4 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of -i**6\/120 - i**5\/30 + i**4\/12 - 3*i**2. Let c be z(-3). Solve 26 = -4*g - 3*l, 0 = -0*g - c*g + 3*l - 9 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/7 - 58*f**2\/7 - 2098*f\/7 + 966.\nAnswer: 2*(f - 49)*(f - 3)*(f + 23)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/25 (b) -140 (c) -1477 (d) -1\/9 (e) 3 (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-95)\/(-20) - 12\/8*(-5)\/(-10). Let r(o) be the first derivative of 0*o**2 + 13 - 2\/7*o**3 + 1\/14*o**m + 8\/7*o. Let r(j) = 0. Calculate j.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2188*y**2 - 2952*y**4 - 2*y**3 - 2188*y**2 + 2*y - 2*y + y**4 + (-3*y + 0*y + 2*y)*(y**3 + y**3 + 0*y**3).\nAnswer: -2953*y**4 - 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v**2 - 621*v + 14947. What is u(23)?\nAnswer: -394","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -809.37 and -0.4.\nAnswer: 323.748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -5.4. Let a = 55 + -57. What is the closest to 0 in j, a, -0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/4)\/((-3)\/48)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 223359 + 3?\nAnswer: 22335c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1818 - 1819.582. Let s = t + -0.418. What is the second biggest value in s, -2\/5, -0.05, 3?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1720 and 5216?\nAnswer: 1121440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 112 - 3?\nAnswer: 10a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -11*u + 26. Suppose 2*w + 316 = 2*t, -2*t + 0*w + u*w + 328 = 0. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 4*l**2 - 2 - 6 + 6 + 0 + 0 + 2*l**2 + (10*l**2 - 3*l**2 + 0*l**2)*(3 - 2 - 5))*(0 + 2*l**2 + 0)*(0 - 1 - 1).\nAnswer: 88*l**4 + 8*l**3 + 8*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 4*s + 9. Suppose -1 = -p, -s*j + 3*p = 2*j - 12. Calculate the least common multiple of 4 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -542851 (base 16) to base 4\nAnswer: -111002201101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xwd when three letters picked without replacement from wnwffdnwwxndww?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of -n**3 + 11*n**2\/2 - 11*n + 4. Let z(r) = -r**2 + 4*r - 4. Calculate 4*l(h) - 11*z(h).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 905710.8ns in microseconds?\nAnswer: 905.7108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - 6 - (14 + -11 + 7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 + -15. Sort 0, c, -3, 1 in descending order.\nAnswer: c, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 + 75*v - 510. Is 14 a factor of b(24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 - 86*j**2 - 83*j - 754. What is y(87)?\nAnswer: -406","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5376*p**3*r*s - 2*p**3*r + 2*p**3*s + p*r*s + 519*p*r - 2*r*s + s wrt p.\nAnswer: 32256*p*r*s - 12*p*r + 12*p*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-one halves of a decade?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35\/20*(-8)\/30*-5.\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 2\/3 (c) 2031 (d) 0.4 (e) -224 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 18*r**3. Let t be h(1). Suppose 54 = -3*v - 5*c, 4*v - c = -2*c - 55. Let q = t + v. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f + 1. Let g(t) = 15*t + 11. Let p be (-18)\/4 + 52\/8 + -7. Let x be (-3 + (-39)\/(-30)*2)*p. Calculate x*g(d) - 22*w(d).\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/8 + (-1)\/4. Suppose 4*c - 199 + 19 = m. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 4*x**2 + 15*x - 83. Is w(-15) a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-4)*(230 + -34). Let h = 229 + z. Calculate the remainder when h is divided by 69.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6132 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -200 + 199.9. Which is the fourth smallest value? (a) 0.05 (b) g (c) 0 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 227326 and -0.09846.\nAnswer: 227325.90154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -128665 - -224115. Round h to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 1:33 PM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 + 11110?\nAnswer: 11000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -45, -76, -129, -210, -325, -480, -681?\nAnswer: -934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10967, 11403, 11847, 12299, 12759, 13227?\nAnswer: 13703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from qgggppqqqppq.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 171 + -166. Let q(n) = -n**3 + 7*n**2 - 1. Let y be q(7). What is the lowest common multiple of f and 14\/4 - y\/2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 157, 155, 153, 151?\n\"Answer: -2*z + 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1833, -1966, -2111, -2268?\n\"Answer: -6*a**2 - 115*a - 1712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -23*z**3 + 167*z**2 - 259*z + 12. What is k(5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + (-7)\/5)\/(8\/(-20)). Solve s + c = 4*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0, 0.044, -9?\nAnswer: 0.044","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -251*i**3*l**2 - 253*i**3 - 2*i**2*l**2 + 3 wrt l.\nAnswer: -502*i**3*l - 4*i**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1687 + -1597. What is the highest common divisor of 230 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w = -58*w + 1120903. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-18) - (-72)\/27. What is the third derivative of 34*q**g + 5*q**4 - 18*q**2 - 20*q**2 - 39*q**2 wrt q?\nAnswer: 120*q + 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g + 2*g - 53 - 4*g + 0*g.\nAnswer: -2*g - 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, v: 1, j: 4, a: 2}. What is prob of picking 2 a?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*5*sqrt(4)\/(-4*sqrt(2)) + (6*(sqrt(162) + 4)*4)**2.\nAnswer: 165893*sqrt(2)\/4 + 102528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 0 - (-3 - (0 - 4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*1 - (5 - 6). Suppose -2 = -3*h + t. Find the second derivative of 0 + 0 + 0*k**h + 3*k**2 - 2*k wrt k.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15542 is divided by 706?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 - -22. Sort 4, u, -1 in ascending order.\nAnswer: -1, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.7? (a) -2\/3 (b) -0.1 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.907083389 rounded to one dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 459135936 a multiple of 4032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 7. Let w = c + -4. Let l = -116\/183 - 2\/61. Which is smaller: l or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -65846601.8 and -0.1195.\nAnswer: -65846601.9195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 26303 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/1238 and -53\/13?\nAnswer: 16094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/13))**(-2\/67)*(w\/w**(5\/4)*w)\/(w\/(w*w**(-11))*w) assuming w is positive.\nAnswer: w**(-39211\/3484)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t*t\/(t*t\/t**(-5))*t)\/(t*t**(-4\/9)*t)*(t**(1\/2)\/t*t)**(1\/9) assuming t is positive.\nAnswer: t**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/(-5))\/((-8)\/(-40)) + -3. Let n(q) = -3*q**2 - 2. Let y(c) = -10*c**2 + 1385 - 2777 + 1385. What is z*y(d) + 7*n(d)?\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.9 in 0, -3\/2, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2840 + 2838. Sort 5, 36, z, 2.\nAnswer: z, 2, 5, 36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 752.45899 rounded to one decimal place?\nAnswer: 752.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 377 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 19*f - 1455 = 14*f, -f + 1467 = 3*n. What are the prime factors of n?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 12*o**2 - 11*o - 3. Let v be f(11). Put 5, -7, v, 4 in descending order.\nAnswer: 5, 4, v, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 - 9*x + 8. Let i be l(9). Suppose 0 = -2*a + 4*k + 14, k + i = 4*a + a. Put a, 4, -3 in descending order.\nAnswer: 4, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -344 at most 13\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -397 + 2399\/6. Let r = -169.54 - -172.54. What is the biggest value in r, 0.5, t?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007743 to four decimal places.\nAnswer: 0.0077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/5, -278, -3\/8, 0, 1, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 94.872 + 0.148. Let v = 9 + 85. Let n = j - v. Round n to 1 decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*b - 3*h - 11529 = -11371, 5*h - 10 = -b for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1044698 is divided by 914.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**5 - 3*s**5 + 2*s**5 + (-s - s + 3*s)*(-13*s**4 - s**4 + 7*s**4 + (5*s - 3*s - 4*s)*(s**3 + 2 - 2) - s**4 - s**4 + 0*s**4).\nAnswer: -14*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 338132600 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/12, 3\/7, 2\/11, 1, -0.11, -4, -3.33?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/5 >= 727?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 283, 223, 163, 103, 43, -17?\n\"Answer: -60*p + 343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 28 - 43 = 0. Let g(z) = z**3 + 6*z**2 + 7*z - 1. Let v be g(i). Solve v*y + 11 - 26 = 5*b, b = 4*y for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-4)*(-362)\/181.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/2)*t)\/t**(-9))\/(t*t**(-1\/3))**(32\/3) assuming t is positive.\nAnswer: t**(43\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 v when two letters picked without replacement from {v: 1, k: 1, r: 2, n: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of 0 + 5*d**2 + 0*d - 1\/9*d**3 - 1\/180*d**5 - 1\/24*d**4. Let o(i) = 0. What is i?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 156 and 1924?\nAnswer: 5772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 14 + 6 + v - 2*v. Let f(y) = -y**2 + 513*y + 9. Let d(p) = 57*p + 1. Let u(i) = 18*d(i) - 2*f(i). Calculate u(j(t)).\nAnswer: 2*t**2 - 80*t + 800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -553*y = 280*y + 2993 + 339 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2609579 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 14 + 21. Suppose -581 = -4*l + q. Is l a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 3*p = 3. Let z(w) = w - 4. Let j(d) = 1. Determine p*z(y) + 12*j(y).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2 + r\/2 + 3\/2.\nAnswer: -(r + 1)*(2*r - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m + 1. Let r(v) = 6*v - 3*v + 1 + 1 - v. Give 4*q(c) - 3*r(c).\nAnswer: -2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.271792 + -0.2748. What is w rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4261 is divided by 327.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1864*b + 599 + 1901 = -1964*b. Let l(r) = -r**2 - 31*r - 149. Calculate l(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 35 = -4*b - 11, g - 43 = b. Calculate the least common multiple of g and 9.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 696109543 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**0*r*r**(-2\/15))**(-26) assuming r is positive.\nAnswer: r**(-728\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 823, 515, 207, -101?\n\"Answer: -308*s + 1131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (2 + sqrt(567) + 5 - sqrt(567) - ((sqrt(567) + 1)*2 - sqrt(567))))**2.\nAnswer: -54*sqrt(7) + 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33.15 + 33.2903. Let p = -63 + 63.134. Let q = p - d. Round q to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -866790 or 0.166?\nAnswer: -866790","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 176, 185, 182, 161, 116, 41, -70, -223?\n\"Answer: -u**3 + 16*u + 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 64 - 58. Suppose -a + z - 11 = q*z, -2*z + 10 = 4*a. What is the second derivative of -s + 3*s - 13*s**a + 5*s + 2*s wrt s?\nAnswer: -156*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -9 (b) 1 (c) -3\/32 (d) -31\/4 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -5, 2, -2\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -323*j = 308*j - 651*j + 300 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 266 divide 94164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3293992 and 2717.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 - 7*u - 14 + 55 + 28*u + 0*u**2. Let p be k(23). Sort 5, 0, p in increasing order.\nAnswer: p, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 22 = -4*b, 17 = -4*b + 4*j - 11. Let l be 18\/10*1\/(-12). Let t = l + 13\/20. What is the smallest value in b, 0.1, t?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -30*g + 1. Determine l(-2).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1371619, 1371583, 1371545, 1371505, 1371463, 1371419, 1371373?\nAnswer: 1371325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-4)*(11152\/(-24))\/(-41). Let l(y) be the second derivative of -d*y + 0 + 1\/5*y**5 - 1\/12*y**4 + 0*y**2 - 1\/3*y**3. Calculate l(2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 55 - 44. Suppose 8*t - v - 5 = 0. Suppose -3*r = -2*h - 384, 337 = 4*r + t*h - 189. What are the prime factors of r?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a century in months?\nAnswer: 5040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 570*i - 556*i - 31668. Is 16 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7159.19um to meters.\nAnswer: 0.00715919","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 5 + 103. Does 27 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20955 to the power of 1\/2, to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 306992 and 448.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3161938 and 1209.\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 908 * 0.054\nAnswer: 49.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y**2 + 15*y - 6. Give r(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + 1 - (7 + (-20 - -3))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -146, -201, -256?\nAnswer: -311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by -10\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, y: 6, l: 3, a: 3, w: 3}. Give prob of picking 1 a and 1 l.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(68)*2)\/(sqrt(8)\/sqrt(18)).\nAnswer: 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 51 - 1223\/24. Let l(z) be the third derivative of -1\/2*z**3 + 0*z - 2*z**2 + 0 + w*z**4. What is the derivative of l(n) wrt n?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148 - 50 + 61*s - 49 - 49.\nAnswer: 61*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*x**3 - 8\/3*x**4 + 0 - 4\/3*x**2 + 0*x.\nAnswer: -2*x**2*(x + 2)*(4*x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 53 and 10706.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 1788.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 3*v. Let z(g) be the third derivative of -31*g**4\/24 + 45*g**2. Calculate z(t(i)).\nAnswer: -93*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -0.23073 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -494 - -872. Let b(i) = 186*i**2 + 198*i**2 - r*i**2. Let j(y) = -16*y**2. Determine j(b(c)).\nAnswer: -576*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v\/v**(-20))*v**2\/v assuming v is positive.\nAnswer: v**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 + 1120\/(-98) - (4 + 2276266\/(-14)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a**2 + 0 + 8*a**2 - a - 2*a**2 + 1 as o + n*a + z*a**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69138175 divided by -13827635.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 1. Suppose 2*z + c*f = 4*z - 86, 5*f + 10 = 0. What are the prime factors of z?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2007 (base 8) to base 4.\nAnswer: -100013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2530*n**2 + 135*n + 8109169 wrt n?\nAnswer: 5060*n + 135","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -76 + 3*m**3 + 79 - 18*m**4 - m**3 as k + x*m**3 + g*m + v*m**4 + t*m**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 0, 31, 114, 273, 532?\n\"Answer: 4*g**3 + 2*g**2 - 3*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -431+140\nAnswer: -291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2 - 13684176*g - 95789036.\nAnswer: -4*(g + 7)*(g + 3421037)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 50008401 or 50008370?\nAnswer: 50008401","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 + 47*y - 104. Let c be a(45). Suppose 5*b - 2 - 83 = -5*x, -2*x + 62 = 4*b. Let j be (4\/b)\/((-5)\/c). Which is bigger: j or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + 5\/(-2)*-2. Suppose 3*t + y = 50. Let m be ((-21)\/4)\/(18\/(-192)). Calculate the greatest common divisor of t and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.259 + 0.319. Put -0.5, 2, 2\/5, x in ascending order.\nAnswer: -0.5, x, 2\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 107636 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of -n**5\/20 + n**3\/2 + n**2 - 3*n. Let q be o(-3). Solve -q = -0*r - 4*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*b - 2*b - 4*b)*(-5*b + 4*b**2 + 3*b**2 - 6*b**2 - 5) to w*b**3 + v + o*b**2 + k*b and give w.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124360262.\nAnswer: 2, 13, 1931, 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(9\/2)\/(a*a*a*a*a\/(a*a**(-10))*a))**16)**48 assuming a is positive.\nAnswer: a**(-8064)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 203942857329*v - 3 - 203942857330*v + 3.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 5*g - 15 = -8*g, -4*n - 3*g + 18 = 0. Calculate the remainder when (10 - (n - 7))*3 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/(sqrt(72) + sqrt(72) + 3*sqrt(72)).\nAnswer: sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 526945?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/15 or 6413?\nAnswer: 6413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(484) + sqrt(484)*-1 + sqrt(484))\/(sqrt(10)\/(sqrt(80) + sqrt(5)) + sqrt(2)) + ((sqrt(128) - (-1 + sqrt(128))*4) + 1 + sqrt(128) + 5)**2 + 5.\nAnswer: -1865*sqrt(2)\/6 + 617","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 712?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3 - 69*n**2 + 429*n - 363.\nAnswer: 3*(n - 11)**2*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(2835) + sqrt(2835) + -1*sqrt(2835)*-6 + sqrt(2835)))\/(-3*sqrt(448) - ((sqrt(14)*-2)\/sqrt(2) - sqrt(7))).\nAnswer: -27*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/15 + (94\/5 - -2). Suppose 281 = j + 29. Calculate the greatest common divisor of j and o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*g - 245 = 149*g - 1037 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 1 + 1)*(-69 - 92 + 65)*(-o**4 + o**4 + 2*o**4).\nAnswer: -1152*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by -83646\nAnswer: 4\/41823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24003853*j**2 - 2*j - 11279402.\nAnswer: 48007706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*q**2 - q**2 + 9*q**2 to a + l*q + y*q**2 and give y.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14188 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 9*l - 3. Let g be j(-3). Let h = g - -56. Calculate the remainder when h is divided by 0\/2 + 14 - 0.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 114984681?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 + -28. Let m be -1 - (-4 - 1\/d). Solve m = -5*j - 21 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.03 in 2\/433, 0.1, 0.18?\nAnswer: 2\/433","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (225 + -39)\/((-6)\/(-1)). Solve -12*o - m = -43 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 614.\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3 - 20420*y**2 + 49650776*y + 12762024912.\nAnswer: 2*(y - 5222)**2*(y + 234)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 12*q. Calculate f(-2).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -137390 divided by -5.\nAnswer: 27478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 0*o + 39 = -5*p, -3*o = -p - 26. Calculate the highest common divisor of 21 and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50419 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3 + sqrt(112) + 2 + (sqrt(252)*-1 - sqrt(252))**2 + sqrt(7)).\nAnswer: 15*sqrt(7) + 3021","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 y, and 1 j when three letters picked without replacement from bybjbaba.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 - -14.964. Let k = -1.036 - w. Let p be (-8)\/(-10)*(-55)\/(-33). Which is smaller: k or p?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 76, 5, 156 in descending order.\nAnswer: 156, 76, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/((-18)\/(-8))*1)\/(18\/(-27)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 58 = 5*u, 5*r = -0*r - 4*u + 43 - 122 for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 11. Let y be (-396)\/m - (-2)\/5. What is y rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -940*i = 397 + 3556 + 747 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/14)\/(51\/(-501)). Let k = 165418112357\/2380 - 69503412. Let y = c + k. Calculate the common denominator of y and 11\/3.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = 4*j - 241. Calculate the highest common factor of j and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 455 a factor of 973778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -6*p - 20. Let z be b(-6). Find the first derivative of 23*f**3 - 10 - z + 0 wrt f.\nAnswer: 69*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gkk when three letters picked without replacement from gkkgggggg?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) 2 (c) 5087 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + -9. What is the remainder when -30*2\/(-6)*2 is divided by (2\/(-4))\/(1\/o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 + 12*y - 7. Suppose -21*t = -17*t - 44. Let f be u(t). Suppose 16 + 0*k - 3*k + 19*k + 8*k**2 - f*k**2 = 0. Calculate k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2465, -2501, -2623, -2831?\nAnswer: -3125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*t - 78 = 90. Suppose -2*a + 13 = 3. Suppose 0 = t*o + q + 2*q + 2, 3*o - a*q = 16. Solve -o*g = g + 15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(252))\/sqrt(9) + -4)**2 + 5 + -2.\nAnswer: 32*sqrt(7) + 131","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 1. Let l(g) = -3*g. Let i = -4970 + 4974. Give i*y(k) + l(k).\nAnswer: -3*k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1487714 to the nearest integer?\nAnswer: 1220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 11, z: 1}?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1721*n + 1720*n = -748. What is the remainder when n is divided by 190?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 728?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 7341329.6 to the nearest one thousand.\nAnswer: 7341000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -304*s - s**3 + 4 + 301*s - 4 + 12*s**4 as f + i*s + m*s**2 + b*s**4 + c*s**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 (base 10) in base 5?\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16944207 + -16944137.99971. Let o = 1.61 + -70.61. Let i = b + o. Round i to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(1\/14)\/o)\/((o**(-8)\/o)\/o))**(13\/3) assuming o is positive.\nAnswer: o**(611\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-3*(0 + -1 + sqrt(1100)) + (sqrt(308) + (sqrt(308) - (sqrt(308) + (sqrt(308) - 2*sqrt(308)))))\/sqrt(7) + -2 + -2*sqrt(11) + sqrt(1331) + -1)**2.\nAnswer: -282*sqrt(11) + 24308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2346798, 2346795, 2346792, 2346789?\n\"Answer: -3*j + 2346801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 14*q**2 - 8*q - 8. Let c = 3 - 6. Let m(f) = 30*f + 3 - 5*f**2 + 32*f - 59*f. Let j(p) = c*y(p) - 8*m(p). Let n(g) = -g. Calculate j(n(x)).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2063131?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -8*p + 6*p. Suppose -3*u - 37 = -p*h, -59 = -5*h - 2*u + 81. Is h smaller than 26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0674+-1\nAnswer: -0.9326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -106*b + 56. Let o be c(-4). Suppose 2418 = 14*v - o. What is the remainder when v is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 + 7*w**2 - 7*w + 4. Let a be b(6). List the prime factors of a\/4 + (-175)\/(-14).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 + 5*f - 3. Let v = 34 - 37. Let s be (-1)\/v*270\/10. Suppose 0 = -h + 2*l + 5, -3*h + 4*l + 6 = -s. Give i(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13149, 24478, 43359, 69792, 103777, 145314?\nAnswer: 194403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 346 divided by 4\nAnswer: 173\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*i**2 + 7 - 21*i**2 + 13*i**2.\nAnswer: -23*i**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 7\/4, 0.2, -1\/3, 1\/3, 0.47 in increasing order.\nAnswer: -1\/3, 0.2, 1\/3, 0.47, 7\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + -2 + (sqrt(272)*1 + sqrt(272) + -2)*-1 + 2 + -4)*-1)**2.\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10197 and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1077, -844, -311, 630, 2087, 4168, 6981?\nAnswer: 10634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*z**4 + 4*z**4 - 19*z**2 + 2*z**3 - 11*z + 2*z**4 + 3 + 21*z**2 as w*z**3 + j*z**2 + u*z**4 + n*z + i and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*n - 209*n + 105*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4789\/355 greater than or equal to 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -27, -3.23?\nAnswer: -3.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - -14)*(210\/(-45) + 5). Put -2, -28, -4, p in descending order.\nAnswer: p, -2, -4, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, -9, 1 in descending order.\nAnswer: 1, -2, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l + 16. Let v be a(12). Let d(c) = 2*c - 5. Let z be d(4). Put z, 2, v in decreasing order.\nAnswer: v, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 - -16. Suppose 53 + 327 = 5*k. Suppose 3*h - y*h = -k. Does 10 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -7*i**4\/24 - i**3\/3 - i**2. List the prime factors of t(-2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*z - 272 + 240. Factor 0*o + 1\/5*o**2 + 1\/5*o**z + 0 - 2\/5*o**3.\nAnswer: o**2*(o - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3917, 5, -5.\nAnswer: -5, 5, 3917","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + -15.5. Let u = -2.5 - v. Suppose 5*h + 3 + 2 = 0. What is the closest to h in -0.2, -1\/4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2132359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3889008?\nAnswer: 2, 3, 113, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (440*o + 589*o - 32*o)*(-1 + 0 - 1) in the form s*o + g and give s.\nAnswer: -1994","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-7 - -4) + -2 + 1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/10*z**3 - 1\/10*z**4 + 1\/5 - 1\/2*z + 3\/10*z**2.\nAnswer: -(z - 1)**3*(z + 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 230221320 - -102122?\nAnswer: 230330102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-152)\/(-8))\/19)\/(2\/(-4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 335.2 - 294. Let x = o + -41. Let r = 2.11 - 0.11. What is the second smallest value in 25\/4, r, x?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a meter in millimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 5 = -3. Suppose q = -h*v - 39, -2*q + 3 = -3. Let d = 57 + v. What is the greatest common divisor of d and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of -y**7\/21 + 33*y**5\/20 + 39*y**4\/2 + 97*y. What is the third derivative of u(q) wrt q?\nAnswer: -120*q**2 + 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5252 and 1481069252?\nAnswer: 5252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n - 3*n + 5800 = 180*n + 43*n for n.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(17)*5 - 3*(4 + sqrt(17))) + 4)**2.\nAnswer: -28*sqrt(17) + 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 + -21. Suppose 2*c - 2*o - 6 = 4, 5*o + 18 = -2*c. What is the remainder when 1\/c*3 + 0 is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -0*z + 2*z. Suppose 5*i - 3 - 11 = -3*s, -4*s - 28 = -z*i. Let n be s - 22\/(-18) - -1. Is 2\/9 != n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18389992469 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6725 - 4788. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4365834 is divided by 40?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/11 - 48*w**2\/11 + 150*w\/11 + 200\/11.\nAnswer: 2*(w - 20)*(w - 5)*(w + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 170967\/20 - 8545. Find the common denominator of w and -1\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*g = 29*g - 68*g - 625 for g.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 83572 + -31464. Is 101 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**3 - 6660*k**2 + 26700*k - 26720.\nAnswer: -5*(k - 2)**2*(k + 1336)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3535*f + 158*f**3 + 8*f**3 + 3535*f.\nAnswer: 166*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 51*g - 2. Let i(x) = -11679*x + 459. Let s(c) = -2*i(c) - 459*k(c). Let o be s(-1). What is o rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((sqrt(39) + sqrt(117)\/sqrt(3))\/sqrt(3) + 5)*-6 + -1)**2.\nAnswer: 1488*sqrt(13) + 5666","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**2 - 11*n**2 - 2*n**2 + 0*n**2.\nAnswer: -11*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 391*f + 9 - 204*f - 193*f to the form q + b*f and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/4624 and 89\/10208.\nAnswer: 2950112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53621164?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vveu when four letters picked without replacement from {d: 1, e: 1, v: 4, u: 2}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -185 divided by -2029?\nAnswer: 185\/2029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -3, 23325, 1\/3, 3, -11 in descending order.\nAnswer: 23325, 3, 1\/3, -0.1, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -273137 divided by 10.\nAnswer: -273137\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 110*n - 46046 + 23040 + 23081 in the form w + a*n and give a.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 6*t**2 - 7*t - 11. Calculate j(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -208*j**2 - 203*j**2 + 445*j**2 - 3*j**2 - j**2 + 2*j**2 - 4*j + 2*j**2 + 4*j + (0*j - 2*j + 4*j)*(-2*j - j + 5*j) as g + c*j + s*j**2 and give s.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 111 + -111. Suppose f = 4*y - 61 - 67. Does 18 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 4) to base 2.\nAnswer: -10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 14*d - 15 - 12 + 0*d**2 + 2*d**2 + 3*d**2. Is i(-6) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 798 + -797.841. What is the closest to -0.1 in 5, 2, 0, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of -c**4\/4 + 4*c**3 - c**2\/2 - 15*c. Let k be y(7). Calculate the highest common divisor of k and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2694, 5, 1, -0.4, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000017805352 rounded to 7 dps?\nAnswer: -0.0000178","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 + 48*j - 267. Let o be s(41). Calculate the highest common factor of 90 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 g when three letters picked without replacement from rlxrwglgrrggrwglrw?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 335*q**2*s**2 - 156*q**2*s - 2*q**2 - 2*q*s**2 - q + 29442*s**2 - 2*s wrt q?\nAnswer: 670*s**2 - 312*s - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/7 and -74\/5607?\nAnswer: 5607","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/10)\/(2\/125*25)\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**3 + 209*s**2 + 1070*s = 0. Calculate s.\nAnswer: -5, 0, 214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.1 (b) 2\/13 (c) -1828 (d) 0.1 (e) 2\/481 (f) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - -131) + (17 - 3). Let q(s) = 3*s - 5. Let h be q(6). Calculate the greatest common divisor of u and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 8 (b) -2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1301537 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = -3*l, 5*t - 2*t + 4*l - 59 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of -v**8\/6720 - v**6\/720 - v**5\/30 - 3*v**2. Let i(y) be the third derivative of n(y). Differentiate i(q) wrt q.\nAnswer: -6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -176, -16, -907, 3, 2.\nAnswer: -907, -176, -16, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 6 = 3*p, 2*d - p = 28. What is the highest common divisor of 375 and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11969 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.059 in -4, -120, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 19*f - 106. Let m be i(5). Let g(h) = h**3 + 10*h**2 - 14*h - 30. Let p be g(m). Sort -2, p, -3, 4 in decreasing order.\nAnswer: 4, p, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f + 2*f**4 - 23*f**4 - f**2 + 8*f**3 - 3*f + 16*f**4.\nAnswer: -f*(f - 1)**2*(5*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 - -1)*(-7 + (56\/154)\/((-24)\/(-396))).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 168.2 + -169.2296. Round l to 0 dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -1. Suppose -2*n - n + 6 = v, -3*n = -h + 21. Suppose 2*l - 4*d - 7 = -h, 2*l + 3*d - 15 = 0. Solve -4*m - m + 10 = l for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2659126455 to the power of 1\/4, to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + q + 0*q)*(-419*q**4 + 941*q**4 + 461*q**4).\nAnswer: -1966*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41 (base 13) to base 8.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 139\/14 at least as big as 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from behljqh. Give prob of picking 1 e, 1 b, and 1 j.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d**2 - 31*d + 56. What is the remainder when x(21) is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/7 (b) -1 (c) 4.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3 - 3) + 8)\/(2\/(-14)). Sort -5, 4, m in decreasing order.\nAnswer: 4, -5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence essr when four letters picked without replacement from {e: 3, r: 6, z: 2, v: 2, s: 3}?\nAnswer: 9\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -65 and 6.\nAnswer: -390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a63ab6 - 4?\nAnswer: -1a63aba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -6923.8 - -6924. Which is the third biggest value? (a) r (b) 2\/7 (c) -3\/17 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1740)\/54 + (20\/9 - 2). Let v = f + 36. Let d be v + (-1 - 8\/(-4)). Sort d, 0.3, -5 in ascending order.\nAnswer: -5, 0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cl when two letters picked without replacement from pspectl.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 - 13. Calculate the common denominator of 249\/4*(-6)\/s and (50\/10 - 2) + (-172)\/10 - -2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 59*j**2 + 5264*j - 1383384. Let r(g) = 810*g**2 + 73695*g - 19367375. Let o(y) = -55*l(y) + 4*r(y). Factor o(b).\nAnswer: -5*(b - 526)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 227608\/276 - (-1 + 10\/6)?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/188, -2\/3, -5, 20.5?\nAnswer: 20.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 154 + -3\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 4*l - 37. Let w be h(10). Suppose -k - 8 = -3*o, 5*k = -w*o - 4 - 0. Suppose 3*j = -2*y - 0*y, -4*y = j. Solve y = d - 3 - o for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*f**2 - 41*f**2 - 62*f**2 - 52*f**2 + 27*f**2.\nAnswer: -99*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g\/g**(1\/2)*g)\/g)*g**(-12))**(4\/19) assuming g is positive.\nAnswer: g**(-46\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0042626054 to six decimal places.\nAnswer: -0.004263","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of -g**7\/945 + g**6\/270 + g**5\/90 + 45*g**2. Solve d(l) = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 164 divided by 4.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7980837 and 2?\nAnswer: 15961674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of t**4\/4 - 11*t**3\/6 - 39*t**2 - 41*t + 2. Let d be k(-4). Solve v - 4 = -2*v + y, 4*v + 3*y = d for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 j when two letters picked without replacement from {p: 3, c: 1, u: 1, i: 5, j: 2}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) + sqrt(700) + -2 + 3 + sqrt(700)*-1 + -2 + 0 + (2*sqrt(700) + sqrt(700))*-6)**2.\nAnswer: 340*sqrt(7) + 202301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/5 (b) -3 (c) 4 (d) 65 (e) 2\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.8? (a) 0.5 (b) -26 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 5*q**2 - 6*q + 6. Let l(a) be the first derivative of 14*a**3\/3 - 17*a**2\/2 + 17*a + 1. Let c(w) = -17*g(w) + 6*l(w). What is p in c(p) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1212 = 3*a - 3*d, -2*a - d = -4*a + 810. Suppose 13*h + h = a. Does 18 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(400)*-5)\/(1*sqrt(32)*-6).\nAnswer: -25*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -1469608, 0.1 in descending order.\nAnswer: 16, 0.1, -1469608","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (-5 + -30 + 40 - (0 - -7)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3903398627 to the power of 1\/3, to the nearest integer?\nAnswer: 1575","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-2)*(16\/3)\/(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + -4*(-4*(4 + sqrt(1872) + 1) - (4 + (-3*(1 + sqrt(1872)) - sqrt(1872)))))*4)**2.\nAnswer: 126736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 2*u + 6, -j = -2*j + u + 9. Suppose k = 4*g - j, 5*g - 2*k - 10 = -0*g. Solve 4*a + 45 = -5*n, -4*a - 15 = -g*n + n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 419745584.\nAnswer: 2, 23, 53, 21521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-5 + 2)) + 3 + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-3616)\/768 - (-13)\/3\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 879 = 2*k + 296, -4*k - 5*z = -1161. Suppose 22*c + k = 24*c. Let j = -400 - -429. Calculate the remainder when c is divided by j.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -10 + 4 + -3 + 2. Let x = u + -4. Is x greater than -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -188*d**2 + 12. Let s(i) = -197025*i**2 + 12580. Let o(n) = -6*s(n) + 6290*t(n). Let g(j) = -2*j**2. Calculate g(o(c)).\nAnswer: -273800*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 559522614 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*y**2 + 18*y**2 + 79*y**3 + 10*y**2 - 65*y**3 - 3*y**5 wrt y.\nAnswer: -180*y**2 + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 244*q - 607*q + 208*q - 310 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2500545075 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-105)\/10*2\/(-3). Suppose -5*l = -2*s - s - 3, 4*s = 3*l + o. Suppose -2*k + l*k + 4*t = 0, 4 = -2*t. Calculate the greatest common factor of 88 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qae when three letters picked without replacement from dqeaaeqdqqaa.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 PM and 2:18 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 928 and 4\/94 + 39780\/3995.\nAnswer: 4640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111112 (base 8) in base 4?\nAnswer: 21021022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 16 (b) -1\/9 (c) -1\/3 (d) 5 (e) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 727, 1447, 2167?\n\"Answer: 720*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4703 (base 10) in base 9?\nAnswer: -6405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 less than -50.75?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -4 (c) 1\/536\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 26 = 5*s, 135*z - 3*s = -105*z + 209*z - 254 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1204801\/4 - -339228. Let f = -40688 + n. Let h = 2681 + f. Find the common denominator of h and -77\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -13733*w - 368. What is the hundreds digit of q(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88 divided by 34.\nAnswer: 44\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -114144 divided by -117\nAnswer: 38048\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8805 + -193635\/22. What is the common denominator of m and ((-1)\/((-4)\/522))\/(-21)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/(-312))\/((-8)\/(-32))?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1 - 2) + 0)*-2. Let f = 3 - -12. Let o = -9 + f. Calculate the greatest common factor of r and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000441 rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -2, 5 in ascending order.\nAnswer: -4, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-56)*4)\/((-15)\/(-35))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 189 and 459.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -68 + 77a1?\nAnswer: 7735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -8. Let o(t) = t + 1. Let y be o(j). Let k(h) = -y*h - h + 1 + 7 - h**2. Determine k(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 4*y - 9. Let u(l) = l**3 - 4*l**2 + 2*l. Let n be u(4). Is m(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 5. What is the derivative of 3*v - 10 - w*v + 8 + 7 wrt v?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -3*t + 10, -5*t + 2 = -2*p - 6. Suppose -t*q + 12 = 2. Solve -l + 2*x = 2*l + 3, 0 = q*x for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1710833 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000004583 rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/35)\/(m\/(m\/((m\/(m**(8\/5)\/m*m*m))\/m))*m))\/((m**(-12)\/m)\/(m*m**(-17))))**(-7\/5) assuming m is positive.\nAnswer: m**(51\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**2 - 11*j + 10*j + 10*j**2.\nAnswer: 11*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**0*q**(-1))\/(q\/(q\/q**2))**1*(((q\/(q*q**2))\/q)**(-10))**(-16) assuming q is positive.\nAnswer: q**(-483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 5*g**2 - 6*g + 3. Let m be s(6). Suppose -2*p = -7 - m. Let n = p + -3. Put 0, -2, n in decreasing order.\nAnswer: n, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 95 + 6162a?\nAnswer: 61714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 410 * 4078.\nAnswer: 1671980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -277370*p**2 + 120769*p wrt p?\nAnswer: -554740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - p - 2*p + 33, 0 = p - 1. Calculate the remainder when 494 is divided by l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6d4 - 188?\nAnswer: -87c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 4. Let v = -185 - -927\/5. Let a = -76\/3 - -25. Sort k, v, a in decreasing order.\nAnswer: v, a, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*i - 204 = -2*i for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhxhhhhhhhxxhhxx. Give prob of sequence hxxh.\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*y**2 - 75855*y - 306675 wrt y.\nAnswer: 4*y - 75855","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 = -8*d + 283. What is the smallest common multiple of 11 and d?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10242, 20464, 30686?\nAnswer: 40908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4*(54\/(-8) + 0). Let s = -12 + h. Let g = -6 + 21. What is the highest common divisor of g and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - l = -113, 3*l - 8 - 9 = d. Let q = 5 - d. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of -p**6\/540 - 17*p**5\/90 - 289*p**4\/36 - 4913*p**3\/27 + 13*p**2\/2 - 3. Let r(d) be the second derivative of c(d). Factor r(f).\nAnswer: -2*(f + 17)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from euuupjpomooouujeup. Give prob of sequence mj.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -174519\/11 or -15866?\nAnswer: -15866","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lbsc when four letters picked without replacement from {b: 2, l: 3, c: 1, s: 1, x: 3, v: 1}?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 PM and 1:31 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 473206?\nAnswer: 2, 223, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (16\/112 - 145\/35)\/(-2). Is j bigger than -6401?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 390 and 75?\nAnswer: 1950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 217 and 403.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p + 3. Let r be j(2). Let q(o) = 3*o**2 + 2*o + 2. Let z(s) = -7*s**2 - 4*s - 3. Let g(c) = -5*q(c) - 3*z(c). What is g(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2000 + 12?\nAnswer: -1211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/3)*s)**(27\/2)*(s\/s**(2\/5)*s*s)**35)**(-14) assuming s is positive.\nAnswer: s**(-1337)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 110222701 divided by 3555571?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 a factor of 75330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 139739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 4:17 PM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 39\/12 + (-1)\/4. Suppose 4*k + 10 = -j*z, -3*k = -z - 6*k - 10. Let l = -0.7 + 0.2. What is the second biggest value in -3, l, z?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/5 (b) -3 (c) 0.31 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 2\/51 (b) -0.2 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 - 23*v - 10021. Give i(112).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 3*w - 39, -5*w - 29 = 2*y - 6. Let l be (-19)\/(-133) + 408\/y. Let n = l - -31. Is -12 at most as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 60 = -4*d + 9*d, -5*i + 234 = 3*d. What is the greatest common divisor of 20 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 46 = -3*t, -3*c + 1752 = -2*t + 1743 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, 0, -1 in ascending order.\nAnswer: -1, 0, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 + 21*t**2 - 25*t - 72. What is the hundreds digit of a(13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12683203?\nAnswer: 13, 19, 51349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 537985 a multiple of 665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -10*n**2\/17 - 35406*n\/17 + 163856 = 0.\nAnswer: -18088\/5, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -136 - 9. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 36 + 108 = 0. Suppose -3*z + 2*v = -z - u, 4*z - 2*v = 32. Calculate the remainder when z is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-20)*(-10)\/66*-3\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -82 + 82. Suppose 0*s + 2*z - 9 = -s, t = -2*s + z + 8. Suppose 4*g - s*g = 5*w - 146, 0 = g + w - 146. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 257 and 0.9?\nAnswer: 256.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-3\/5)*p**(-2)\/p*(p**(-1)*p*p)**(-3))**(-4\/7) assuming p is positive.\nAnswer: p**(16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.04143 - -2.04143. Which is the second biggest value? (a) j (b) 0.06 (c) 0.04 (d) 2\/9 (e) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t**(-9)\/t)**(3\/2))**11)**(-2\/5))**25 assuming t is positive.\nAnswer: t**1650","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -4*c**2. Let u(y) be the first derivative of 9\/2*y**2 + 0*y - 16. Give u(m(q)).\nAnswer: -36*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.1 (b) -33 (c) 0.2 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 11:30 AM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 5*u**2 + 3*u - 1. Does 5 divide x(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u - 9. Determine t(22).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6994 - -7333.3. Let u = m + -339. Let z = 1 - 2. Is u greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -298 (base 16) in base 13?\nAnswer: -3c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 150792 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: Simplify -3*(-3 + 4*(0 + sqrt(18)\/(sqrt(9) + (sqrt(9) - sqrt(36)\/sqrt(4)))) + -3)*4.\nAnswer: -48*sqrt(2) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13335*x - 29976*x + 14747*x to l + u*x and give u.\nAnswer: -1894","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-6))**(-19)\/(h**(-4)*h\/(h\/(h\/(h\/(h*h**(1\/6)))))) assuming h is positive.\nAnswer: h**(701\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.7551 + 109.44544.\nAnswer: 114.20054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 309, 327, 331, 309, 249, 139, -33?\nAnswer: -279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ro when two letters picked without replacement from ntntznorooart?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of 847*y**6\/120 + 2425*y**3\/2 + 2241*y**2 - y. What is the derivative of g(o) wrt o?\nAnswer: 2541*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 52492 or 52565?\nAnswer: 52565","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)*-1*-3 + sqrt(65) + (sqrt(65) + -2*sqrt(65))*6)\/(((sqrt(280) + sqrt(280)*2)\/sqrt(7))\/sqrt(8))*6.\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a microgram in nanograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + n = -0*t - 1069, 2150 = -2*t + 4*n. Let x = -505 - t. Let w = x + -235. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1143081929 to the power of 1\/2, to the nearest integer?\nAnswer: 33809","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1939536?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -20, -44, -100, -200, -356, -580, -884?\n\"Answer: -2*l**3 - 4*l**2 + 2*l - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2487, 2495, 2515, 2553, 2615, 2707, 2835?\nAnswer: 3005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -8 + 21 + 0*x - 12 - x + 7*x**2. What is the lowest common multiple of 31 and k(1)?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 578*w**3\/5 - 306*w**2\/5 - 368*w\/5 + 96\/5 = 0. Calculate w.\nAnswer: -12\/17, 4\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 134794 and 968?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*y**2 - 7*y**2 + 21*y**2)*(-1 + 4 - 10 + (-3 - 2 + 3)*(0 - 3 + 0)).\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 + 82*g - 1469. List the prime factors of x(-106).\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 2*l + 6 = 0, 5*d - 4*l = -198 + 184 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of -d**2 + 9. Suppose 5*n - 5 = 5*y, -5*y - 3*n + 15 = -2*y. Let r(l) = -y*l**2 + l**2 - l**2. Give r(a(o)).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 678.3607 years?\nAnswer: 8140.3284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -23103, -92418, -207939, -369666?\n\"Answer: -23103*q**2 - 6*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by 36.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*r**2 - 33*r**2 + 278*r**2 to a*r**2 + m*r + d and give a.\nAnswer: 223","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.03 - 0.13. Let k = c - 0.34. Let f = 18\/143 + -4\/13. What is the biggest value in -2, k, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 60a - c49?\nAnswer: -63f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 91370502?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-2))\/(96\/56)*(-180)\/28?\nAnswer: 75\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 439 divide 5970654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -32*j**2 - 22*j + 1140. Let h(n) = -17*n**2 - 12*n + 572. Determine -11*h(g) + 6*w(g).\nAnswer: -5*g**2 + 548","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -211*m - 234*m - 218*m - 218*m + 878*m.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 5*l. Suppose -z = -l*z. Suppose t - 2*t = z. Solve -b + t*b - 5 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (0 - -4 - (2 + 2)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23114692?\nAnswer: 2, 5778673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/(-6) + 3045\/(-45). Let r = b - -230. Suppose 0 = -3*p + 67 + r. Calculate the greatest common factor of 19 and p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 62 - -562?\nAnswer: 654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27 + -27. Suppose -a + 2*a - 3*n = 77, 5*n + 15 = d. Does 16 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-24)\/27)\/(-8))\/(74\/(-111))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/2 - 3 - (-3 - -4). Suppose -p*z = 0, 3*o - 20 - 190 = -2*z. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 902 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*v + 41 = -16. Let t be ((-2)\/(-4) - -1)\/(-3). What is the smallest value in t, 2, v?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**3\/3 + 2*b**2 + b\/3 - 2 = 0.\nAnswer: -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/7 and 125\/3156?\nAnswer: 22092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9580390, -19160801, -28741212, -38321623, -47902034?\nAnswer: -57482445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t. Let y(q) = -4*q - 1. Let u(f) = 10*r(f) + 4*y(f). Let k be u(2). Solve -2*v + 12 = -2*i, -6*i + 2*i - k = v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + 26*n + 170. Let o be z(-15). Suppose -13 + 257 = k + 4*f, -5*k + 1145 = o*f. Calculate the smallest common multiple of 4 and k.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 0*k - 4. Let j be 24\/(k - (-603)\/(-102) - -4). Suppose 0 = -5*h + 9*h - j. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/592264649 or -1?\nAnswer: 2\/592264649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4160 + 3724 = -305*h - 1876 for h.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.78 + -0.7799124. What is s rounded to 5 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29\/2 + 14. Let v = -24 - -38. Let k = v + -12. Which is the nearest to k? (a) -4 (b) -0.1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13650 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -5*u**2 - 7*u. Let a(g) = 2*g**2 + 3*g. Let d(f) = -7*a(f) - 3*i(f). Let s(c) = -23*c**2. Give d(s(p)).\nAnswer: 529*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3709489?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68396?\nAnswer: 2, 17099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-2)*(1 - 14\/6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2940 and 1617.\nAnswer: 32340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-10)*-1 + -35 + 1974\/70.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 343 + 2035?\nAnswer: 2422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 1613 divide 77344737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a + 30*a**2 + 3 - 51*a**2 + 19*a**2. Give o(-4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 288070.\nAnswer: 2, 5, 28807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/18 and 11\/11859.\nAnswer: 71154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -o + 5. Let k = 196 - 194. Suppose -4*g - 2*u + 44 = -5*u, -g - k*u + 22 = 0. What is the remainder when o is divided by g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2103.9 + -2104. Let t = 1 - 1.5. What is the closest to w in t, -2, -3\/2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 16 = -g, 2*g + 4*a = -g + 28. Differentiate -10*h**g - 26 - 7 - 5*h**4 wrt h.\nAnswer: -60*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, 59\/116, 2, 231, -2\/3?\nAnswer: 231","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5826*-0.024.\nAnswer: -139.824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of -y**4\/3 - 47*y**3\/6 - y**2 - 7. Let u be s(-5). Let j(c) = -c**2 - 7*c - 9. What is j(u)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l - 8 + 8*l + 10 - 2 - 2.\nAnswer: 9*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 5*n**2 + 9*n - 2. Let p(d) = -d**2 - 1. Let h(f) = -6*p(f) - t(f). Let b be h(8). Solve 3*k + 4 - 13 = b for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 64821 divided by -697\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1430 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.08, -52, -75648 in decreasing order.\nAnswer: -0.08, -52, -75648","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -604*v**3 + 3632*v**2 - 3068*v + 40 = 0. What is v?\nAnswer: 2\/151, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.059 rounded to 1 decimal place?\nAnswer: -11.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-50)\/(-12) + 1\/(3\/12) and 83\/76.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10883, 462, 2 in ascending order.\nAnswer: -10883, 2, 462","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 53 + -51. Suppose -5*u + g = -4*u. Suppose -19 = 2*x + 5*m - 55, -u*x = -3*m - 20. Solve -5*b + h = -x, b + h = -b + 8 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -67 - -67.0123. Round l to 3 dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 - 15. Suppose -g*v = -3*j - 0*j + 3, 6 = 3*j - 3*v. Solve -l - j = 3*r, -3*r + l = 5*l + 11 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 13, -317, 59 in descending order.\nAnswer: 59, 13, -1, -317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seventy-four fifths of a milligram?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/2973100 and 91\/150.\nAnswer: 8919300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0370628 * -4.\nAnswer: -0.1482512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**3 + 10*z**2 - z - 9. Let b be o(-4). Suppose -3*p - 57 = -4*w, 2*w - b = 4*p + 9. Let v be 19 - 5\/(5\/3). Is w less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3*q = 12. Solve -2*o = -q*v + 4, 20 = -3*o - o for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-3)*0 - -4. Suppose y = 3*y + 10, 5*y = d*z - 153. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 31767.2 grams?\nAnswer: 31767200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -1253*c - 8405. Let j be y(-6). Which is bigger: j or -894?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 + 14*d + 29. What is t(-10)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.3 + -4. Let w = 382.36 + -380.36. Which is the nearest to -1\/3? (a) w (b) -3\/2 (c) y (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1173?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -156860721862 take away 25.47?\nAnswer: -156860721887.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 525 + -496. Suppose -o*p = -1348 - 189. Solve 15 = p*u - 56*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 633454 and 1803.\nAnswer: 1900362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 74 - 46 = 0. Solve 4*o + b*u - 11 = 9, u = o - 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 AM and 9:32 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 107 - 103. Suppose q*l - 256 = 100. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s + 2*s + s**3 + 70*s**2 - 70*s**2 + 12*s**3 + 1 - 1 + s**3 + (-3 + 0 + 2)*(-4*s**3 + s**3 + 2*s**3).\nAnswer: 15*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 239.1019 * -0.71.\nAnswer: -169.762349","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 - 60 = -4*m - 29 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.852 and 0.3.\nAnswer: 0.2556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 18719689 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 225 = 15. Let s be (-4)\/(-10) - b\/(-50). Solve 2*p = -2 - s for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 151671?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 364058 < 364062?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 22144 and 1.\nAnswer: 22144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*y**3 + 421*y**3 + 1169 - 1169.\nAnswer: 318*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of j**5\/60 + 11*j**4\/24 + 11*j**3\/3 + 3*j**2 + 4. Let w be x(-24). Is (-24)\/36*6\/(-4) + w 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 7700 and 910140.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2 - 0) + 5)*(11836\/(-462) + 26).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d + 5. Let i be n(3). Let v be 1*(-1 - (-1 + i)). Let c = 7 - v. Calculate the remainder when c is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 9*m**2 + m - 1. Calculate s(9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = 4*c - 23, 233*b - 237*b - 50 = -31*c for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -362540 by -3.\nAnswer: 362540\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -8, 7, 0.3, 1, -386, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1002535 is divided by 620?\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1138 is divided by 170.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 21, 27, 33, 39, 45?\n\"Answer: 6*y + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -124 divided by 77.\nAnswer: -124\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -3*j**2. Let x(n) be the second derivative of 47*n**3\/6 - n - 19. Determine x(u(p)).\nAnswer: -141*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -3. Let l = 1 - v. Let a be (2\/7)\/((-22)\/(-308)). Sort a, 2\/9, l.\nAnswer: 2\/9, l, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*i + 221*i + 208*i = -4303 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 - (25 - 29) - -99 - (2 + (0 - -4))?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 3252?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w + 9. Let u be l(-8). Suppose 0 = 2*g - 3 + u. Suppose i + g = 3. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 179 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s - 5*l + 8, 4*s + 14 = l - 2 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 7*f - 22. Let c(u) = u - 4. Let r(o) = 11*c(o) - 2*k(o). Let p(m) = 8*m**2 + 1. Calculate p(r(g)).\nAnswer: 72*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-3)*-3*11\/77.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108)\/sqrt(1200) + sqrt(9))\/sqrt(3))**2*4 - (-6*(sqrt(36)\/sqrt(6) - sqrt(6))\/sqrt(2) + -5).\nAnswer: 488\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-3))\/((-4)\/(-6)). Suppose j - 1 - 22 = -4*a, 5*j + 4*a - 51 = 0. Let q = f + j. Solve 20 = q*n - n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(91)\/(sqrt(7) + sqrt(448)*-2)*-5 - (sqrt(312)\/(sqrt(24)\/sqrt(3)))\/(sqrt(75)*-1).\nAnswer: 8*sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.23 - 0.77. What is the nearest to -0.1 in 0.3, 48, w?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 10:43 AM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 43163601353 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-2 + 2) - (5 + -11).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12155833 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 269*a**2 + 40*a**2 - 312*a**2.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w = 15*w - 6*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v**3 + 5*v**2 - 2*v**2 + 0*v**2 - 2*v**2.\nAnswer: -5*v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 614048822.\nAnswer: 2, 1999, 153589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g**3 - 9*g**2 + 3*g - 5. Give f(-3).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 5, 21.\nAnswer: -3, 0, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - 7. Let g be 4 + (-2)\/(2\/1). Suppose -12 = -5*p + g. Solve -h = p*m - 6, -7*h + 2*h - 3*m + c = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 2365.6.\nAnswer: 2365.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-6)\/(-16))*5*(-216)\/480.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 59229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11363759, -11363762, -11363767, -11363774, -11363783, -11363794?\nAnswer: -11363807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16426 divided by 36.\nAnswer: -8213\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 159749557 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2119 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s - 10 = s + 2*o, -2*s + 86 - 92 = -o for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11984\/1380 - 430\/24725.\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = g + s, 7 = g + 4*s + 1. Suppose 12 = h + 2*y, -g*h + 3*y - 28 = -10*h. Solve d - h = -0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 30*i + 1665. Determine f(-58).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 + -2 + -4 - -8)\/1. Suppose l*o - 187 - 18 = 0. Suppose -35*g + o*g = 30. Solve 0 = 4*f - g + 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 2470941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, h: 2, c: 1}. What is prob of picking 2 h?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2963044792?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31965?\nAnswer: 3, 5, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 123 = -3*d - 33, -2*g = -3*d - 55. Does 10 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16\/(-6)*12\/(-16). Find the third derivative of -5 + 35*s**4 + 2 + 12*s**4 + 3 + w*s**2 + s**3 - 104*s wrt s.\nAnswer: 1128*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 4304.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 - -19. Suppose -m = 3*m + k*t + 10, 4*t = -20. Let l(s) = -s**2 - 2*s + 2. List the prime factors of l(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.1519 to 2 decimal places.\nAnswer: -5.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -3 (b) 4 (c) -2\/15 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o**2 - 14 - 13 + 23 + (4*o**2 - 4*o**2 - 4*o**2)*(10 + 45 - 6) as u*o + y*o**2 + z and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (133\/14)\/((-1)\/8). Let v be (51\/12)\/((-1)\/j). Suppose -18 = -s + v. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 2 + -40 + (-839 - -996)?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, d: 2, u: 1, c: 1}. Give prob of picking 1 d and 1 c.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.107077um to kilometers.\nAnswer: 0.000000000107077","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -226 = -6*p - 208 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*q + 148*q + 43 - q**3 - 78*q.\nAnswer: -q**3 + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 14 + 2 - (-32 + 37 + -2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.8 + 0.7. Which is the nearest to 6? (a) -1\/2 (b) f (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 3*r = -16*c + 470, 0 = -c - 8*r + 4*r + 42 for c.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12111 - -12?\nAnswer: 12200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 419047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -0.9 (b) -0.2 (c) 6.679 (d) 0.052\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + 8*b**2 - 6*b - 3. Let h be o(7). Suppose -h*r = 46 + 38. What are the prime factors of (-6)\/r - 2199\/(-21)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -219269572*s. Let k(m) = 5*m. Calculate d(k(v)).\nAnswer: -1096347860*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13047.\nAnswer: 3, 4349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.1 and 7268645.5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -5*s. Let f(b) = 12*b**2 + 302*b. What is f(j(q))?\nAnswer: 300*q**2 - 1510*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i - 4. Let l(m) = m + 79. Calculate l(y(g)).\nAnswer: 3*g + 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1755 + 1815. Calculate the lowest common multiple of 288 and l.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - -7 - (5 + -6 - -1) - 5?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29\/105 + 2\/15. Which is the nearest to 1? (a) k (b) -1\/3 (c) -2\/3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r = 10*r. Let l be r + 129 + 2 + -4. Let o = l - 505\/4. Which is the second smallest value? (a) -0.3 (b) 0.6 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 5*o + 20 = 0, 8*b = 4*b + 5*o - 20. Solve 2*c = -b*c - 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 4*h. Let y(a) = -a**2 - 5*a - 189. Determine s(y(i)).\nAnswer: -4*i**2 - 20*i - 756","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 365734?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + 0\/(-1)*1. Let s = 354 + -788. Let p = s + 435. Put n, 4, -3, p in ascending order.\nAnswer: -3, n, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_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: Let z(v) = 2*v**2 - 3*v + 1. Calculate z(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a tonne in kilograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2632464.6 - 63846\nAnswer: -2696310.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.33 + 0.37. Let s = 3 - j. Let h be (-2)\/12 - (-2)\/3. Which is the third smallest value? (a) h (b) s (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from wwtttaiijtttwtttzat.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + d)*(-1 + 2*d + 1)*(6*d + 14*d - d).\nAnswer: 38*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24269 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o. Let v(i) = 45*i**2 + 9*i - 9. Let k(d) = 2*d**2 + d - 1. Let m(g) = -9*k(g) + v(g). What is t(m(j))?\nAnswer: -27*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v*v*v**(-9)))\/((v*v**(-12))\/v))\/(v*v**(-3\/4))**(-48\/7))**(-2\/65) assuming v is positive.\nAnswer: v**(-304\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -9, 5, 0.23788, -1\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4848\/(-22624))\/(1\/(-70))*2*2\/(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530322 to the power of 1\/2, to the nearest integer?\nAnswer: 728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -59 - 9?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 3710198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5679b (base 15) in base 10?\nAnswer: 275096","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 932\/120*12\/40. Let l = -2\/25 + m. Factor 3\/8*n**4 - l*n**3 - 9\/8 + 3\/8*n**5 + 15\/8*n + 3\/4*n**2.\nAnswer: 3*(n - 1)**3*(n + 1)*(n + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -475 - -968. Find the third derivative of f*v**3 - 493*v**3 - 6*v**2 - 3*v**6 wrt v.\nAnswer: -360*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8937555 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4*r = -2 - 9, -4*s - 58 = -2*r. Let t = 22 + s. Suppose 13 = 4*g - t. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14230301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 + 25. Suppose -3*k + 3*z - q = 0, -2*k + z - 22 = 3*k. Let s(m) = -7*m + 8. What are the prime factors of s(k)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -169b1 (base 15) in base 9?\nAnswer: -121204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + (-36 - -4 - (-82 + 67)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 439.94 + -440. Is 4.4 greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q - 240. Let y(z) = 3269*z**2 - 1690*z**2 - 1576*z**2. Give b(y(o)).\nAnswer: 6*o**2 - 240","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, z: 3, o: 1}. What is prob of sequence fzf?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(4 + 1*(sqrt(2299) - (sqrt(2299) - (-2 + sqrt(2299) + 2 - sqrt(2299)))) + (sqrt(2299) + -1)*-4 + -4))**2.\nAnswer: -8800*sqrt(19) + 920000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00650488757 to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 92950407*p**4 + 348947960 wrt p.\nAnswer: 371801628*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 h when four letters picked without replacement from chchhchchhchh?\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 20 - 8 = -5*f, -5*f = c - 26 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/2 + (-9)\/(-2). Suppose j*h + 46 = 1. List the prime factors of 3*((-42)\/h + -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, -13, -138, -379, -772, -1353, -2158, -3223?\nAnswer: -4584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*k - 14055 = 2894. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1606.012 kilometers in meters?\nAnswer: 1606012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7, 61, 179, 391, 727, 1217, 1891?\n\"Answer: 5*t**3 + 2*t**2 + 13*t - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 984 + 3?\nAnswer: 987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of -2*k**3 - 31*k**2\/2 + 144*k - 43. Let x(m) = m**2 + m. Let z(i) = 5*t(i) + 35*x(i). Factor z(j).\nAnswer: 5*(j - 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oolfowoofwo. What is prob of picking 2 o and 2 w?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -261*o + 2*o**2 - 192*o - 678*o + 134*o - 435*o.\nAnswer: 2*o**2 - 1432*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -178315 + 322058. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 2*u - 62924 = 0, 4*r - 5*r - 5*u = -15731. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -151 + 169. Calculate the remainder when 35 is divided by h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 0. Let h be ((-18)\/(-21))\/(q\/7). Solve 16 = 2*z + h*f - 4*f, -12 = -2*z - f for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 8, w: 2}. What is prob of picking 4 k?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j + 20. Calculate n(-24).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 28*x**2 - 374*x. Let m(p) = 13*p**2 - 188*p. Let l(o) = 6*h(o) - 13*m(o). Let k(n) = -2*n. What is k(l(i))?\nAnswer: 2*i**2 - 400*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 75 + 211. Let o = p + -285.9998093. What is o rounded to 5 decimal places?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7\/4932 - 4967\/24660. Let y = -4 - -2. What is the closest to -1\/3 in -2\/9, c, -1, y?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, d: 7}. Give prob of picking 1 k and 1 d.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 12, -2*w = -3*i + 2*i - 1. Suppose -p + w*s - 5 = 0, -5*p + 2*s = -3*s + 35. Let v(x) = -2*x - 7. What is the units digit of v(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 50 + 592?\nAnswer: 632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 - (-46 - (11 + -75))?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.24798 - -0.25202. Which is the closest to -2\/11? (a) 11 (b) -13 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -o - 3*u + 3, 3*o = 2*u + 6. Suppose o = -3*t - 5 + 11. Is (-493 + -9)*(-1)\/t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 287 and 19362127.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 7, d: 2, m: 1, c: 2, e: 1, b: 1}. Give prob of picking 1 q, 1 e, and 1 d.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 4*g + 58, -i = i + 5*g + 59. Is i greater than -26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tnz when three letters picked without replacement from nktzkztzzzz.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*i - 32*i + 8*i + 7*i.\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -8*z**2 + 7*z - 26*z**3 + 20*z**3 + 0*z + 7*z**3 = 0.\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*(2 + -2) + 8. Suppose 0 = 2*r + 2*r + n. Let k be (-8)\/(-6)*(-3)\/r. What is the greatest common factor of 2 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -164 - -2458\/15. Let p = -692 - -692.3. Let h be 2\/(-6)*1\/2. Which is the third smallest value? (a) p (b) q (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 477\/106*(-6 + 7)*(-2)\/(-3). Sort 4, 2589, h in decreasing order.\nAnswer: 2589, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three quarters of a milligram in micrograms?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 5*z - 205, 0*k = 5*k + 2*z - 205. Let r = 60 - k. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, k: 1, t: 2, z: 1, n: 2}. What is prob of picking 1 k and 1 z?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 2*g - 17, -2*g = 5*u - 6*u - 3. Let c be 18\/10 + (-4)\/(-20). Find the third derivative of 70*x**c + 12*x**5 + x**u - 40*x**2 wrt x.\nAnswer: 780*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21112232333 (base 4) in base 6?\nAnswer: -124321435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 1 + i)*(4 - 2 - 1) + 5*i + 3*i + i)*(4 - 3 - 3)*(-i**3 - 4*i**2 + 4*i**2) to y*i**2 + t*i**3 + v*i + w + f*i**4 and give f.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -8071.2 - -0.4\nAnswer: -8070.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2910236264 to the nearest integer?\nAnswer: 1428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 262057267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 20, 6*p - p = 4*r - 37. Let u(s) be the second derivative of 0*s**3 - 10*s - 19*s - s**r. Let t(l) = 3*l. Determine t(u(g)).\nAnswer: -18*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.156542mg to grams.\nAnswer: 0.002156542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168*m = 1985 + 5743 for m.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c**3 - 1021*c**2 + 302339*c - 20365055 = 0. What is c?\nAnswer: 95, 463","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.17278 to 3 dps.\nAnswer: 0.173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -32.93083 rounded to the nearest integer?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7742)\/(-98))\/395*(-10)\/(-23).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1531?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 43.52.\nAnswer: 174.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/319705 and 38\/959115.\nAnswer: 959115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 11:06 PM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -d**4\/4 - d**3 + 2*d**2 + 4*d - 8. Calculate i(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23 + 25. Let c(k) be the first derivative of 5*k**4\/4 - k**3\/3 - k**2 + k - 2. Is c(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**3 + 5*o**2 + o - 5. Let k(z) = 2*z**3 + 4*z**2 + z - 4. Suppose -3*r = r - 16. Calculate r*f(s) - 5*k(s).\nAnswer: -2*s**3 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/4, 4, 235, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 100000011010100101110?\nAnswer: -100000011010100101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - 16*j**2 + 21*j - 90. Calculate s(15).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6531336 to the power of 1\/2, to the nearest integer?\nAnswer: 2556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w - w + 2*w + (1 - 2*w - 1)*(-4 + 3 - 2) + 4*w + 3*w - 5*w.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52 - (-4 + 45) - -14.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.9 (b) 0.4 (c) -5\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3971 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.07 + 0.53. Let o = k + -0.3. What is the closest to 1 in 4\/3, 0.1, o?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 36*c**3*t - 4726781*c**3 + 9650*c*t - 2*t wrt t?\nAnswer: 36*c**3 + 9650*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -210*y**3 - 210*y**3 + 425*y**3 - 37*y.\nAnswer: 5*y**3 - 37*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*v - 35*v. Suppose v = -3*z + 3 - 15, 5*i + 5*z - 110 = 0. Suppose 2*g + i - 24 = 0. Which is the closest to g? (a) 6 (b) -1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1034, 4127, 9280, 16493, 25766, 37099?\n\"Answer: 1030*p**2 + 3*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 11, 3, -5 in increasing order.\nAnswer: -5, 0, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 79, -1, 17, 0.1, 0.377, 2, 3?\nAnswer: 79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from kkkkdddkkkkkkkk?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 7, c: 4}. What is prob of picking 2 c?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(24\/(-4)))\/(3\/(-5)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 10*i**2 + 10*i - 18. What is g(9)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22144224 (base 5) to base 2.\nAnswer: 101111010010011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17857?\nAnswer: 7, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 3:24 PM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.052 at most as big as -56.77?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.19739 + -33.81939. Let a = y - -0.122. What is a rounded to zero decimal places?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 126 + 0?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 75\/8 or 0?\nAnswer: 75\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 317960 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3851073 and 17971674.\nAnswer: 53915022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 13\/9317580 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11941 rounded to two decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1 + -2 + (-240)\/(-6))*5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -8*k**3 + 18*k**2 + 47*k - 265. Determine v(5).\nAnswer: -580","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -565 > -631?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -167, 3, 0, -28, -5 in increasing order.\nAnswer: -167, -28, -5, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 + j**2. Let y(v) = -5*v**3 - 3*v**2 + 4*v - 4. Let w(k) = 4*o(k) + y(k). Let m be w(3). Let z be 15\/(-9)*(-2)\/m. Which is greater: -2 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 divided by -1\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*q - v, 5*v = -3*q + 2 + 3. Suppose 0 = -2*z + 34 - 12. Put q, z, -5 in increasing order.\nAnswer: -5, q, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -3*j - 9 + j - 11. Let k be r(-10). Let d(g) = g**3 + 2*g + 28. Is d(k) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 498110?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence neet when four letters picked without replacement from {s: 2, m: 3, e: 2, t: 8, n: 5}.\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3a + -1?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (439 - 405 + 45*x - 53*x)*(0*x - 26*x - x) to the form t + y*x**2 + j*x and give y.\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33403 + -13597. What is h rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-4)*273\/4446*8\/14\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -3*m**2 + 9090*m - 4868468. Determine g(695).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*n + 1389 - 1389.\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 195\/(-63)*(-229)\/(72135\/(-378))\nAnswer: -26\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-3\/8)\/z*z**7 assuming z is positive.\nAnswer: z**(45\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*w*y**4 + 7*w*y**3 - w*y**2 - 178*w*y - w wrt y.\nAnswer: -168*w*y**2 + 42*w*y - 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168 = -4*g - 16. Suppose c = g - 34. Solve -z = -2*z + t - 2, -26 = c*z + 5*t for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) + sqrt(171)*2)*2 - sqrt(171)*1*2)\/((sqrt(54) + sqrt(6534)*-1 + sqrt(6534))\/(-2*sqrt(150))).\nAnswer: -40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 959598.\nAnswer: 2, 3, 89, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180 is divided by 45?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -5*y - 31 - 9, 4*n = -5*y - 67. What is the units digit of ((-23446)\/(-209) - (-2)\/y) + 5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 AM and 8:36 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16944740 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*j + 48*j - 2222 = 0. Suppose -3*q - 354 = -k, -4*q - j = -k + 254. List the prime factors of k.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.32 - 0.18. What is the second biggest value in y, -1, 0.07, 0.2?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -7924*b**3 + 11*b - 11. Let t(h) = -2641*h**3 + 4*h - 4. Determine 4*j(u) - 11*t(u).\nAnswer: -2645*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = i - 20. Let d = i - 7. Suppose 2*q + d*q - 95 = 0. Solve 5*s - q = 4*f - 0*s, -s + 2 = f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 - 15. Let z = f - 2. Suppose -3*p = 5*y - 27, z*p - 2*y - 10 = -0*p. Solve -3*k + 0 = -4*w - 1, p*w = -3*k - 7 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -5*z. Let l(s) = 1. Let f(x) = x + 3. Let r(b) = -f(b) + 3*l(b). What is h(r(w))?\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h**2 + 10*h + 12. Let r be d(-3). Solve r = -6*u + 3*u + 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -81528285\/4 or -20382072?\nAnswer: -81528285\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -3, -967, -1\/5, -63, -6, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = -4*l + 5*n - 24, -5*n + 21 = 4*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 282, 974, 2328, 4566, 7910?\nAnswer: 12582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1601.3 + 1601. Put -2\/5, 1.9, 0.1, o in decreasing order.\nAnswer: 1.9, 0.1, o, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 4*h, -4*h + 8 = 2*y + 24 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31153, 62307, 93461?\nAnswer: 124615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 10 = 0, 52 = -5*m + 4*n + 102. What is the greatest common divisor of m and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + 4 - (1 - 1). Let i be 11 - (2\/a + -2). Let d be (-10 + i)*3*2. Calculate the highest common factor of d and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 p when two letters picked without replacement from {z: 2, p: 2, q: 1, x: 1}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of -3*i**4\/4 - 7*i**3\/3 + 4. Suppose 8*a + 45 = 5. Let o(f) = 4*f**3 + 10*f**2. Give a*o(k) - 7*h(k).\nAnswer: k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do -1379548 and -1379551 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -69 - -114. Let w = -224\/5 + j. Let x = 2\/313 - -299\/2191. What is the nearest to 1\/3 in w, x, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o - 4828 + 4820, -2*o - 9 = -5*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 55 - (0 + (-1 - -4)). Let v = z + -25. Is 28 at most as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/d**(-25)*d**(2\/35) assuming d is positive.\nAnswer: d**(912\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l**3 - 9*l**2 - 4*l - 24. Let h be o(-6). Suppose 0*b = -b + 6. Suppose b*s - 3*s = h. Is s a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10220?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2714 - 2713.8. What is the third smallest value in 0.206, y, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 22 = 4*b, -21*b + 20*b - 23 = -4*z for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 278*j - 2415. Determine b(11).\nAnswer: 643","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 4*x - 5*x + 7, 0 = -p + x + 3. Suppose -p*q + 18 = -2*q. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -20.9, -1\/8849, -8, -2 in descending order.\nAnswer: -1\/8849, -2, -8, -20.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 50213, 49770, 49033, 48008, 46701, 45118, 43265, 41148?\n\"Answer: u**3 - 153*u**2 + 9*u + 50356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 963 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -376 divided by 19775\nAnswer: -376\/19775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*c + c**2 + 4*c + (-c + 2*c - 3*c)*(-5*c + c + 2*c) + 1037*c - 8*c**2 + 25 - 1037*c.\nAnswer: -3*c**2 + 25","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 737\/4?\nAnswer: 737\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6801*i**4 - 7636 wrt i?\nAnswer: 27204*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -4*n. Let k(t) = -7*t**2 + 2*t. What is c(k(q))?\nAnswer: 28*q**2 - 8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13.96 + 12.2. Let x = d + 2.06. Sort 9\/11, 1, 1\/2, x in ascending order.\nAnswer: x, 1\/2, 9\/11, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 614?\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 15 = -3, -2*w = a + 4. Suppose 5*y + 6 = -w*y + 4*t, 5*y + 5 = 5*t. Let b be 3\/y - (-84)\/24. Which is bigger: 1\/2 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiwyryrwiyriyiiyyyi. Give prob of picking 1 i, 1 w, 1 y, and 1 r.\nAnswer: 49\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -151538, -606182, -1363926, -2424770, -3788714?\n\"Answer: -151550*r**2 + 6*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -110 + 109.93. Sort -2\/9, -0.5, l, -0.4, 0.07 in ascending order.\nAnswer: -0.5, -0.4, -2\/9, l, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 425915741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2 + 6 - 2 + 3*b + b - b**2. Let r be j(5). Let n(f) = f - 16*f**3 + 3*f**2 - 2*f**2 + 4*f**2 - 1 - 7*f**2 + 3*f**2. What is n(r)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three eighths of a milligram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 487*r**2 + 633*r - 314*r - 714*r**2 - 324*r.\nAnswer: -227*r**2 - 5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 87, 124, 173, 234, 307, 392?\nAnswer: 489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + -1)*(-2 + -13). Let j = u - 9. Let s(y) = 9*y**2 + 1. Let q(d) = 7*d**2 - d - 1. Let n(o) = 4*q(o) - 3*s(o). What is n(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 10 = -5. Let m be 21\/27 - (-2)\/9. Let x be 4\/6*m*3. What is the greatest common divisor of d and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8.1 and 0.11.\nAnswer: -0.891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(2\/9)\/s)\/s)**25)**1 assuming s is positive.\nAnswer: s**(-400\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1021102022110101 - 12?\nAnswer: -1021102022110120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 682.3443 centimeters?\nAnswer: 6823443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 203*q + 1457 + 979 = 0 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26070 - 9857. What is the thousands digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 32*p**5 - 83*p**3 + 83*p**3 + (0 + 0 + p)*(7*p**4 - 9*p**4 + 0*p**4).\nAnswer: 30*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y - 7. Let p be t(-5). Suppose p + 10 = q. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.383673 to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141198?\nAnswer: 2, 3, 101, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*b**2 + 3*b**2 + 0*b**2)*(-8*b + 0*b + 9*b + 828 - 117) as s + i*b**3 + f*b + p*b**2 and give p.\nAnswer: -711","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15072 - -12833. Is h bigger than -2239?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a millimeter in nanometers?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - 7. Let d be 18\/(-12)*4\/2. Suppose 0 = -4*l + 11 + 1. Calculate the remainder when l is divided by y(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -5*s**2 + 27. Let d be q(-8). Let w = 310 + d. What is the highest common factor of w and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 14*c**2 - 29*c + 15. What are the prime factors of p(15)?\nAnswer: 2, 3, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 - -26. Solve w*d = -2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(13\/(-221))\/(8\/(-4))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 70*w**2 - 84*w**2 + 16*w**2. Suppose 0 = j - 5*r - 36, 0*r = -4*j + 2*r + 54. Let b(d) = -5*d**2 + j*d**2 + 6*d**2 + 12*d**2. What is b(f(z))?\nAnswer: 96*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8740090?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 17 - 9*d)*(2*d + 1 + 4*d - 4*d).\nAnswer: -18*d**2 - 9*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-85 - -89) + (8 - (41 + 2 - 5)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -454875*p**3 + 378341*p**2.\nAnswer: -2729250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 90.033 + -90. Let f = -0.033 + t. What is the third biggest value in 12\/5, 3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 - 10*b**2 + 2. Let i(s) = s**3 + 10*s**2 - 2. Determine -4*i(x) - 5*l(x).\nAnswer: x**3 + 10*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 76*v - 73*v - 8*r, 2*v = 4*r + 4 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161 = -52*m + 75*m for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**3 - 3*r**3 + 5*r**3 + (3 + r - 3)*(2 - r**2 - 2) + 2*r**3 + 0*r**3 + 3*r**3.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + -18989013641?\nAnswer: -18989013617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-63178)\/(-8152) + (-374)\/8?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1\/195 + 413\/4485. What is the smallest value in 0.6, -5, l?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 48*f - 196. Let r be i(6). What is the greatest common divisor of r and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/80389 and 71\/19798?\nAnswer: 83765338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 + 59. Let b(m) = -3*m + 28 - 20 - 21. Calculate the remainder when t is divided by b(-11).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-4) - 11625\/100. Let w = -34 - o. Is 9 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 11, -1, 21896, -0.02, -5.\nAnswer: -5, -1, -0.4, -0.02, 11, 21896","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 - 4*i - 2. Suppose -6*z + z + 20 = 0. Let h be o(z). Which is smaller: -1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 22*v**2 + 59*v**2 + 5 + 6*v**2 - 23*v**2 + 1.\nAnswer: 20*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2691, -11653, -26567, -47415, -74179, -106841, -145383?\nAnswer: -189787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(sqrt(50)\/sqrt(5))*1.\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -713, -1236, -1749, -2246, -2721, -3168, -3581, -3954?\n\"Answer: a**3 - a**2 - 527*a - 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 48\/13? (a) -6\/7 (b) 4 (c) -3 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*j**5 + 32120*j**4 - 73721728*j**3 + 52415557888*j**2 - 415794037760*j + 829237196800 = 0. What is j?\nAnswer: 4, 1660, 4702","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 410038631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/((i**(-8)*i*i*i)\/i*i))**(2\/25) assuming i is positive.\nAnswer: i**(14\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-9)*3*(10 - 9). Let r = 0 + -0.1. Let g = -47.32 + 47.3. Put m, r, -0.4, g in ascending order.\nAnswer: -0.4, r, g, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-1) - (0\/10 + -1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 4 + (5 - 4 - 2)*(1 + 0 - 2) + 4 - 4 - 2)*(-2*t**2 + 5*t**2 - t**2).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 - 8*w - 7. Let u be l(-6). Suppose 15 = 5*v - u. Factor -v*k + 2*k**3 + 2*k**3 - k**2 - 5*k**2 + 2*k**5 + 6*k**4 - 2*k**3.\nAnswer: 2*k*(k - 1)*(k + 1)**2*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10743046 = 10743043?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 175, 755, 1723, 3079, 4823, 6955, 9475?\n\"Answer: 194*q**2 - 2*q - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.930764 litres?\nAnswer: 930.764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 5*s - 380, 2*f + 2*f = -5*s + 306. Let p(w) = 38*w**2 + 40*w**2 - f*w**2. Let q(u) = -4*u. Give p(q(n)).\nAnswer: 64*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 2723.593 and 73 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 3*k + 1 = 0, 0*f - 5*k + 9 = 4*f. Put -1\/5, 0.1, f, -1\/4 in ascending order.\nAnswer: f, -1\/4, -1\/5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**3 + 4584 + 3*a**2 - 4575 + 4*a**3 as k*a**2 + v + q*a + w*a**3 and give v.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 4 + -5 - (7 + -8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of -u**4\/4 + u**2\/2 + 76*u + 10. What is the units digit of k(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1360 (base 8) to base 4.\nAnswer: 23300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 168*f - 15734. Calculate j(93).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of -b**6\/30 + 19*b**3\/6 - 20*b**2 + 43*b + 1. Differentiate o(s) with respect to s.\nAnswer: -4*s**3 + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3 + 2*h**2 - 29*h + 42.\nAnswer: (h - 3)*(h - 2)*(h + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) 453 (b) 0.31 (c) 0 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 185, -2\/7, -27, 0.779 in descending order.\nAnswer: 185, 0.779, -2\/7, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -56 + 34. Let t(c) = -12*c + 12. Let x(m) = -m**3 + 5*m**2 + 7*m - 4. Let h be x(6). Let g(l) = -l + 1. Calculate h*t(z) + s*g(z).\nAnswer: -2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 2*m + 4*y + 1766 = 0, 4*y + 879 = m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = -c - m, -5*c - 11 = -3*m + 219. Let t = c - -86. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-26)*(q\/q**12)\/q assuming q is positive.\nAnswer: q**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 5710*o. Let a(g) = 13*g. Determine b(a(d)).\nAnswer: 74230*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/2 + (-110)\/(29 + -51)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*a*b**2*z**2 + 8*a*b**2 + 2*a*b - 16*b**2*z**2 - 31*b**2*z + 7*b*z**2 - z wrt z.\nAnswer: -28*a*b**2 - 32*b**2 + 14*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3895 = -773*i + 3018 + 9320 for i.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 877866 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 181495537 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (1 - 2) - -2 - 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1a6c + -e56?\nAnswer: c16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -36*k - 5. Let h be j(-5). Let r = h + -56. Let w = r - 72. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -146*u + 4. Let t be n(2). Does 12 divide 99\/(-2)*t\/54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480692 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 h = 3\/8 + -5\/8. Let t = -26.02 - -23. Let s = -0.02 - t. Which is the second biggest value? (a) h (b) -0.1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 + -30 - ((113 - 118) + (0 - 18))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 126\/13 or 11?\nAnswer: 126\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o. Let a(z) = -6*z**2 - 3*z + 3. Let l(i) = -i**2 - i + 1. Let j(k) = -3*a(k) + 9*l(k). Calculate j(n(s)).\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13322 is divided by 114?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (8 - 0 - 20).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/6 (b) 2\/11 (c) 2244645 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.03 - -0.06. Let x = -224 - -227. Does x = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3206*333.42.\nAnswer: 1068944.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 600945 + -21035344\/35. Let u = 395\/7 + b. Find the common denominator of u and 40\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5775402719 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, -1\/6464, 9, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - 2*c - c)*(77*c + 30*c + 23*c)*(3 + 10 + 1)*(5*c - 4*c - 2*c).\nAnswer: 3640*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -13*u + 10. Calculate t(3).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + (-5)\/(-1)*2. Let g(l) = -2*l**3 + 8*l**2 + 3*l**3 - 2*l**3. Let b be g(z). What is the nearest to b in 0, 0.5, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-1 + 0) - (-34 - -27).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = u + 4, 3*d - 4*u = 0. Let j = 0.01 + 0. Let n = 0.09 + j. Which is the nearest to 0.1? (a) d (b) n (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -5*f + 80. Let r be 0 + 1 - (30 - f). Suppose 52 + 32 = -4*q. Is r < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110100000 (base 2) in base 5?\nAnswer: 3131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5269 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*n + 70322 + 7220 = 15460. What are the prime factors of n?\nAnswer: 3449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -3*t + 696, -4*t + 459 + 484 = -y. Suppose 3*n = -t + 247. What is the lowest common multiple of 189 and n?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88\/23 - 80\/23*a - 14\/23*a**2 + 2\/23*a**3 = 0 for a.\nAnswer: -2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 PM and 1:45 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/6*57\/(-9))\/(454\/(-681)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22462566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3486 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -74.30845089733 - 2\nAnswer: -76.30845089733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 10\/(-2) + (-48)\/(-6). Suppose -3*t - 162 + 33 = -d*v, 4*v - 2*t = 254. Calculate the highest common factor of 45 and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of -12*w**7\/35 + 8*w**6\/25 + 323*w**5\/50 - 73*w**4\/30 - 104*w**3\/3 + 60*w**2 - 43*w + 1. Determine c, given that i(c) = 0.\nAnswer: -2, 5\/6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 152 and 23.3.\nAnswer: 175.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.3 and 80834.51.\nAnswer: 105084.863","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(91) - (sqrt(91) + -1*sqrt(91))))\/((sqrt(70) + -2*sqrt(70))\/sqrt(10)))**2.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10141 + 4013?\nAnswer: 14204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181*q + 4*r - 484 = 186*q, 0 = 3*q + 3*r + 258. Is -1839\/20 at most as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 312\/(-1144) - (-408)\/44.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a0390 + -65?\nAnswer: -a0425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 83 + -83.001205. What is j rounded to 4 decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.009, 3, -22, 0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = -48, -16*w + d - 2*d = -13*w - 13 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (4 - 6)*27\/(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nr when two letters picked without replacement from {n: 1, r: 11}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**2 + 6*w**2 - 5*w**2)*(-5*w + 2*w + w) + w**3 + w**3 - 3*w**3 - 7*w**3 + 3*w**3 - w**3 + (-3*w + 1 - 1)*(w + w**2 - w) + 4 - 2*w**3 - 4.\nAnswer: -7*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -11*o**2 + 7*o - 4. Let c(p) = 30*p**2 - 4*p + 21. Let j(k) = 6*k**2 - k + 4. Let f(i) = 2*c(i) - 11*j(i). Give 5*f(n) - 2*m(n).\nAnswer: -8*n**2 + n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3563435863?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 41141 (b) 39\/7 (c) -5 (d) -7 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(110) - (sqrt(110) + (sqrt(110) - (sqrt(110) + sqrt(110)*-1)) + sqrt(110)))*-1)\/(sqrt(50)\/sqrt(5)*-3)*4)**2.\nAnswer: 704\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + 1)\/(5\/10). Let q be (-2)\/3 + (-7)\/3. Let m = -1 - q. Solve m*z + y*d = -2*z, 3*d - 4 = -2*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 58 and 1566?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yzkzdk. What is prob of picking 4 k?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -1925 to the nearest 10.\nAnswer: -1930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -654 (c) -2 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) -41 (b) 5 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2321 - -130?\nAnswer: -2141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 88700 and 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x - 315 = -20*x. Solve x = -55*z + 50*z for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 685023384.\nAnswer: 2, 3, 29, 661, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 94087 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 + 28. Let k(q) = q**2 + 24. Let r be k(0). Let h = r - 21. What is the remainder when s is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-105)\/(-147))\/((-1)\/(-7)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8.716117 days?\nAnswer: 12551.20848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 490*t + 499*t + 177*t - 1166*t - 6*t**3.\nAnswer: -6*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - 2*i**2 + 2*i. Let n be x(-3). Suppose 2 = n*b - 2*b. Solve -2 = b*v - 3*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 16 - 96. What is the greatest common factor of j and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 450705823 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -2) + (-14 + 7 - -1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*t**3 - 39*t**3 + 7*t**3 + 7*t**3 + 9*t**3.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 212, 6, 21 in increasing order.\nAnswer: 6, 21, 212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 23*o - 182 = 0. Let f be o*(-4)\/(-70)*10. Solve 4*s - 5*s + f = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 585 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**2*h)\/(h\/(h*h**(4\/9))))\/(h**(1\/2))**(6\/23))\/(h**(-2)*h*(h\/(h*h*h**3)*h*h)\/h)**(-37) assuming h is positive.\nAnswer: h**(-29950\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -7*k**8\/48 - k**5\/15 - k**4\/24 - k**2 + 16. What is the third derivative of d(u) wrt u?\nAnswer: -2940*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((15\/(-8))\/(-5))\/(693\/(-132))?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - 38*r**2 - 103*r + 74. Let g be t(-35). Solve -2*k = -g*k + 5*s + 10, -4*k - 4 = 2*s for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 + 6 - -3) + 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1280689*d**2 + 640461*d**2 + 640228*d**2 - 169*d**3.\nAnswer: -169*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 100174021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0016898975 to six dps.\nAnswer: 0.00169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-6)*((-192)\/71)\/64\nAnswer: -1\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -129\/1189760 and -73\/224.\nAnswer: 8328320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6295*j + 4744*j = 10246*j + 141564 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4*p = l - 16, -3*l - 5*p = -21. Suppose h = l*h - 5*g - 4, g = -h + 4. Solve 0 = 4*i - 0*i + h for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -274*t + 274*t - 39 + 39 + 2*t**3.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + 2*j - j)*(-582*j**2 - 746 + 746) + 4*j**3 - 3*j**3 - 3*j**3.\nAnswer: -1166*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 121 - 119. Solve -h - p*y = -5*h + 8, -16 = 4*y for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14530 or -9\/7?\nAnswer: -14530","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 18*c = -17*c + 16, 4*c = -5*y - 14. Let i(k) be the first derivative of 1\/2*k**y + 1\/4*k**4 + 34 + 4*k - 5\/3*k**3. Determine i(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5652 = -656*i - 252 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 39, 19228, -2 in descending order.\nAnswer: 19228, 39, 9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77, 778, 2679, 6380, 12481?\nAnswer: 21582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) 0.2 (b) 4 (c) -0.4 (d) 3409\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 124994159 a multiple of 631?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1066987979 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13095973\/6 or -2182662?\nAnswer: -2182662","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3971.\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1835 - -0.0165. Which is the closest to 55? (a) p (b) -0.2 (c) 2 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4543 = -4*q + 1401. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 4*u**2 - 3*u. Let a = 2 + 0. Let w(v) = 4 + 3*v**2 - 4 - a*v. Let b(s) = 3*w(s) - 2*y(s). Let z(t) = -3*t**2. Determine b(z(o)).\nAnswer: 9*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -156*d**2 + 367*d**2 - 156*d**2 - 57*d**2. Let a(i) = 354*i. Calculate s(a(v)).\nAnswer: -250632*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 6 + 128 = -5*l, 3*y - 122 = 2*l. Suppose -3*s = 6, 2*x - y = 2*s + 30. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 4*x - 292, -2*s - 337 = -7*s + 2*x. Let n = s + 27. Does 3 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 999, 483, -921, -3657, -8169, -14901?\nAnswer: -24297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 81 = -3*c, 0 = 5*j + 5*c - 155 - 45. Calculate the remainder when j is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 5859.\nAnswer: 5864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2\/13, -1\/7, 2, 1\/4, -2\/9, 213, -2\/135?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 7.9. Is p greater than -6\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1111 - 21?\nAnswer: 1030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/228 and 73\/12.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*c + 4*a = 16*c + 30, c - 3*a - 5 = 0 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 61*v + a + 136 + 167, a - 17 = 3*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5*j + 2*j - 5*j)*(4*j**4 + 7*j**4 - 5*j**4).\nAnswer: -48*j**5 + 6*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.56308 rounded to zero decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19069?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/23*11\/6. Let m(r) = r**3 + 10*r**2 - 148*r - 206. Let i be m(9). Which is smaller: i or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 236405 a multiple of 184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -2, -64, -0.4, 0.119 in decreasing order.\nAnswer: 0.119, -0.2, -0.4, -2, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5691173?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = j - 206. Suppose 0 = -6*b + j + 220. What is the greatest common factor of b and 108?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1963407591?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12 plus 0.074?\nAnswer: -0.046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 11:19 PM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*d + 21 = 44 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8822 + -8740.946. Let y = -81 + c. What is y rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 1:30 PM?\nAnswer: 7:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5 - (6 + -3 + 2 + -13). Suppose -l*h + 15264 + 42079 = 0. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*k**3 + 2*k**4 - k - 2 + 3*k**3 + 2*k**2 + 4 in the form h*k + q*k**2 + v*k**3 + a*k**4 + d and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.571107 + -240.587607. Let g = -0.0165 - t. Let s = g + -240.0000233. Round s to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (4 - 6)*(-371)\/77?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**1\/c)**31\/(c**(1\/2)*c**5) assuming c is positive.\nAnswer: c**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76, 351, 880, 1759, 3084?\nAnswer: 4951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + -33. Let t = i + 48. Calculate the lowest common multiple of t and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + 6*i - 3. Suppose 3*y = r - 6 + 3, -5*r - 19 = 2*y. Give c(r).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -485.3 rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/257 or -1473?\nAnswer: -1473","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/5 + 133548*q\/5 + 133546\/5.\nAnswer: 2*(q + 1)*(q + 66773)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -953832 take away -477547?\nAnswer: -476285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 12485.\nAnswer: 1\/2497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 575933 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f - 2 = -366. Suppose f*i + 40*i = 50864. What are the prime factors of i?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 - 1 + 2)*(-2*y + 5*y - y) + 2*y + 2 - 2)*(-1 - 1 - 1).\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a millimeter in micrometers?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 13*w - 2. Let v be 4 - 3 - 0 - 6. Let t(y) = -12*y + 2. Let l(r) = v*t(r) - 4*n(r). What is l(2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 6. Suppose 2*r + 2*f = 36, -f - 77 = -6*r + b*r. Suppose -3*a - 83 = r. What is a rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 6 = 0, h - 4*h + 6 = 4*p. Suppose -3*k - 50 + 14 = p. What is the tens digit of (-46)\/4*(-7)\/((-7)\/k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30546?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 932?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/45 of a week in seconds?\nAnswer: 26880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnr when three letters picked without replacement from nnrsnnnrrrnrnns?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 19 = -h - 2*p, -2*p + 8 = 0. Suppose -2*q = -30 - 10. What is the remainder when q is divided by h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 225856060 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 551464 (base 7) to base 14.\nAnswer: 272db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*q + 2*o + 3*o, 2*q + 5*o - 14 = 0. Suppose 4*z - q*z = 68. Suppose z*y = 33*y. Is y greater than 2\/63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 400, 842, 1284?\n\"Answer: 442*m - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/(-10))\/(20\/(-200)). Suppose 0*w + 360 = 2*w. Suppose o*t + t = w. Is t a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g. Suppose 4*x - 2 = 3*y, 5*x - y = 4*y. Let t(r) = -10*r + x*r - 4*r. Determine a(t(v)).\nAnswer: -24*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o + 7*o - 5 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 2285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03283 to 3 dps.\nAnswer: 0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 3*b = -8, 29 = c - 5*b + 25 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 + -14. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/6)\/((-17)\/612). Which is smaller: -23 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*h + 4*h. Let s(m) = 7*m - 1. List the prime factors of s(h).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 72 - 57. Let a = -23 + j. Sort 2, 4, a, -1 in increasing order.\nAnswer: a, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 86522, 86531, 86540?\n\"Answer: 9*l + 86513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 12:41 AM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 5*u - 109, -21*s + 26*s - 173 = -4*u. Solve -5*l - 8 = 2*m - s, -4*l + 20 = 3*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-1)\/(-11))\/(21\/231) and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -406 divided by -8\nAnswer: 203\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 3*i = 35 - 5, -i + 4 = 3*y. Solve 1 = -l + 5*b, b = y*l + 5*b - 16 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -4, 0.04, 14, 2.1, -0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.24 + -0.24. Let x = 0.22 - 3.82. Let a = x + 0.6. Put a, p, 4 in decreasing order.\nAnswer: 4, p, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 30921975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3127 or 116?\nAnswer: 116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m + 13*m - 11459 = 14182. Calculate the greatest common divisor of m and 444.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 + 31*o + 67. What is t(-29)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 5 = -0. Let d be (-4)\/(-10) - (-57)\/c. Let p(h) = -h**3 - 12*h**2 - 13*h - 10. Let v be p(d). Calculate the greatest common divisor of 6 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 65.5 or 205\/3?\nAnswer: 205\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from otootottyr. Give prob of picking 1 o, 1 r, and 1 y.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five sevenths of a week in days?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-151)\/45 + (-4548)\/27 + 169.\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -947*a**3 + 2074*a**3 + 1760*a**3.\nAnswer: 2887*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -7*b + 1. Suppose 4*k = 3*i - 11, -15 = -8*k + 3*k - 2*i. Determine l(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a millimeter in micrometers?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 50*k**3 + 47*k**3 - 339*k**3 + k**2 - 484*k**3 as z + a*k**2 + s*k**3 + j*k and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 175066.6.\nAnswer: 525199.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 12:50 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00049228 to 6 dps.\nAnswer: -0.000492","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-5)\/(-20)*(-9)\/(-6)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2263*t + 22 = 2285*t. Sort -4, 0, 3, t, 2 in decreasing order.\nAnswer: 3, 2, t, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1026844 and 1521?\nAnswer: 9241596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 558 and 4650.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4234 + 5?\nAnswer: -4225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38, -67, -98, -131?\nAnswer: -166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/8 and 186\/105*25\/20.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 812\/(-145) - (-1 + -5)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 63 + 3. Calculate the highest common factor of i and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 127448 (b) 2 (c) 3\/2 (d) -2 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (53 - 52 - (-1 - -7))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23 - 4857*j**4 + 13607*j**4 - 4774*j**4 - 62*j - 4635*j**4 wrt j.\nAnswer: -7908*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 + 10*d + 29. Let t be o(-4). Suppose -t*k = -2*k - 6, -2*w - 4*k = 73659992. Round w to the nearest one million.\nAnswer: -37000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -196*h + 175. What is v(1)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 436720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 63235420?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -263*p + 59655 - 42297 = 0 for p.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00021322 rounded to five dps?\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(550\/(-616)))\/4?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -20. Let p(l) = -l + 20. Let f(s) = 6*p(s) + 7*r(s). Calculate the remainder when f(-12) is divided by (-13 - -16)\/((-1)\/(-6)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of -y**4\/4 - 8*y**3\/3 - 4*y**2 - 5*y - 20. Let i = 10 - 17. What is b(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -296275*u**5 + 3*u**3 + 34749*u**2 + 17*u - 1.\nAnswer: -17776500*u**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**5\/3 - 16*c**4\/3 - c**3 + 342*c**2 - 1296*c.\nAnswer: c*(c - 9)**2*(c - 6)*(c + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 1 = 5*a + 54, 0 = -5*a + 5*t - 75. Which is greater: 14 or a?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -0*i - 48. What is the least common multiple of i and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o + c, -23 + 3 = -5*c for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 17\/6 (b) 5 (c) 9\/9926\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/4*(-2)\/3. Let i = -11.666 + 11.466. Which is the nearest to i? (a) 4 (b) t (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20400 and 848.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -3*l - 18 + 1 + 19*l - 3*l - l**2. Suppose -5*v = -17 - 18. List the prime factors of y(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y - 2*y**2 + 0*y + (-2 + 6*y + 2)*(0 + 0 - y) + 3*y**2 - 4*y**2 + 0*y**2 + (-2 + 1 - 1)*(5*y**2 - 2*y**2 - y**2))*(-3*y**2 - y**2 + 3*y**2).\nAnswer: 13*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -15073, -15123, -15225, -15379, -15585, -15843, -16153?\n\"Answer: -26*n**2 + 28*n - 15075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13127, 105003, 354379, 840005, 1640631?\nAnswer: 2835007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63919.\nAnswer: 41, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14368*h = -10023*h - 1209831 - 1107314 for h.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 698 is divided by 331?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4263784 is divided by 74803.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*b**2 + 3 - 25*b**2 - 3.\nAnswer: 44*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43855, -87632, -131351, -175018, -218639, -262220, -305767?\nAnswer: -349286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, 0, 0.3, -2\/7, 2, 1 in decreasing order.\nAnswer: 2, 1, 0.3, 0.05, 0, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4478021 + -0.17?\nAnswer: 0.2778021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 931016?\nAnswer: 2, 29, 4013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 547 a factor of 3409908?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4720 and 560.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 268380727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -637836 by -3.\nAnswer: 212612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 - 14. Let r(b) = -2*b**2 - 27. Let l(m) = 4*r(m) - 7*t(m). Let f(g) = -g. Calculate f(l(k)).\nAnswer: k**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158*i + 4030 + 4026 + 4030 + 4029 - 16115.\nAnswer: 158*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/612 and 71\/72.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*o + 26 = -124*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of -c**5\/15 + 7*c**4\/6 + 5*c**3\/3 + 37. Factor w(i).\nAnswer: -i**2*(i - 15)*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32079 and 3219.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/5 (b) -18 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*h, 0 = 4*m - 4*h + 37 - 21. Solve m = -4*n + 11 + 9 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2954 and 159051589.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z + 3*z**2 + z**3 + 53 - 55 - 3*z**2 in the form v + t*z**2 + k*z**3 + g*z and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4011, -3995, -3979, -3963?\n\"Answer: 16*t - 4027","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 30394, 31142, 31890?\n\"Answer: 748*b + 29646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -386*i**6 + 602*i**2.\nAnswer: -46320*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 6:40 PM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (6 - 10) + 2 + 0\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of -b**2\/2 + 39. Let c(x) = 10*x. Give d(c(j)).\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 0, 5, 8, 15, -3, -8 in descending order.\nAnswer: 15, 8, 5, 0, -3, -8, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2345\/(-268))\/(10\/(-8))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1320, -2653, -3972, -5271, -6544, -7785, -8988?\n\"Answer: y**3 + y**2 - 1343*y + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 3723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 390 and 535990?\nAnswer: 1607970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 315 + -740479?\nAnswer: -740164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 1184.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {e: 2, l: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 248\/3 + -82. Let p(j) be the first derivative of -1 - j**2 + 0*j + v*j**3. What is the second derivative of p(h) wrt h?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12\/15)\/4*(888 + -2). Is u at most 177?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/9)\/(4\/(-30)). Let u(o) = o**2 - 4*o - 3. Let s be u(w). Solve -s*b - 3*f = -16, 5*b + 3*f + 2*f = 35 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (66\/(-264))\/(-2*(-12)\/(-32)). Factor -1\/3*a**2 + 1\/3*a**3 - t*a + 1\/3.\nAnswer: (a - 1)**2*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000001011010110010 (base 2) in base 8?\nAnswer: -1013262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -42*k + 33. Let j(n) = -16*n + 17. Let v(d) = -5*j(d) + 2*p(d). Give v(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c (base 16) in base 4?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.6 - -2.9. Let o = m + -0.5. Suppose 0 = 2*h - 2 + 6. Do o and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-48))\/((-1287)\/429)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**4\/5 - 44*d**3\/5 + 18*d**2\/5 + 504*d\/5.\nAnswer: 2*d*(d - 21)*(d - 4)*(d + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1774319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 4*d. Let u be s(2). Let t(b) = b**2 - 8*b + 5. Calculate the smallest common multiple of t(u) and 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 997.0141 centuries?\nAnswer: 1196416.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 21643?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 4 (c) -4 (d) 33 (e) -0.11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38 and 1311?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*j + 116*j + 56 = 0 for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of -j**7\/84 + 7*j**6\/240 + j**5\/40 - 7*j**4\/48 + j**3\/6 + 7*j**2. Suppose w(f) = 0. What is f?\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2373 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 70*l = -71*l + 14, 0 = -34*m - 4*l + 122 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 7:19 AM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 10 = -q. Let w(l) = l**2 + 2*l + 3. Let h be w(q). Put h, -3, -3\/4 in increasing order.\nAnswer: -3, -3\/4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1937169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6201*i - 256 = 6192*i - 4*d + 294, -4*d = 3*i - 178 for i.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 34, 5, 7, -17\/2 in ascending order.\nAnswer: -17\/2, 2, 4, 5, 7, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.443 + -4\nAnswer: -3.557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*p + 5. Let z = p + 2. What is the greatest common factor of 3 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.3*30.\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.3 (b) -0.03 (c) -1\/6 (d) -71\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 222 - 404 + 182 + 0*a - a**3 - 2*a.\nAnswer: -a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 5*u = 4*u - 5*r + 64 + 129, -u + 172 = 125*r for u.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2*x + 0 = 19, 4*y + 4*x - 32 = 0. Let i be (-184)\/(-598) + (6\/(-13))\/3. Which is the closest to 1? (a) i (b) y (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2*x = 8 + 29, 0 = 5*n + 5*x - 45. Suppose 0 = 6*a + 11 - n. Solve 3*h - 3*s - s + 11 = a, 3*s = -5*h - 28 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 14674647, 14674646, 14674645, 14674644, 14674643, 14674642?\n\"Answer: -v + 14674648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 76772.68 centimeters?\nAnswer: 767726800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 235 divide 22732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - 7019*g + 237450. What is a(34)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -9. Suppose b*w - 44 = 40. Suppose -z = 2*r - 48 + 20, -4*r + 5*z + 28 = 0. Calculate the remainder when w is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 306 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34 + -23. What are the prime factors of o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.7 - -0.3. Let y = b - -1. Let r(d) = -d**3 + 7*d**2 + 7*d + 11. Let z be r(8). Put -1\/2, z, y in decreasing order.\nAnswer: z, y, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*(3 - 5) - 5. Let a(l) = -6*l + 12. Is a(j) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -484.6+0.03553546\nAnswer: -484.56446454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of 2*p**5\/5 - p**3\/6 - 11*p - 4. Determine q(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 9:19 AM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -110 by 55.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34)\/(-374)*-143*1?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1784\/6*(-3 + 18\/4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 448\/5 + 14\/35?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71987 is divided by 338.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-896)\/(-96)*(-28)\/98)\/(4\/(-6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*r**3 + 10572*r**2 + 5853*r - 4692 = 0 for r.\nAnswer: -391, -1, 4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 13766297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 5 (b) -3\/350 (c) -2\/597\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 11:08 PM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8414? (a) -1 (b) -5 (c) -3 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 + 25 = 13*j. Let s = 2 + -7. Let b be 4 + (30\/s - j). What is the second smallest value in -3\/7, 12, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 + 31. What is the common denominator of 81\/2 and (-2)\/p*390\/(-40)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 7*g**2 - 33*g - 15. Let h(p) = p**2 + 3*p - 5. Let j be h(-5). Suppose q = j*q - 136. What is the remainder when r(7) is divided by q?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 + 4*w**2 + w - 3. Let r be n(-3). Let j be r*((-2)\/6 - -2). Differentiate -4 + 0*v**2 - 4 + 3*v**2 + j with respect to v.\nAnswer: 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -819*b**2*m**2*z**2 - b**2*z**2 + b**2 - 7*b*m**2*z**2 + 61*b*m**2 - b*m wrt b?\nAnswer: -1638*m**2*z**2 - 2*z**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -f - j, f - 5*j = -0*f + 21. Let a(b) = -b**2 - 2. What is a(f)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -540, -1075, -1608, -2139, -2668, -3195, -3720?\n\"Answer: t**2 - 538*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -98 + -5685354?\nAnswer: -5685452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of -z**6\/480 + z**5\/80 - z**4\/32 + 2*z**3\/3 + 2*z. Let k(p) be the second derivative of c(p). Factor k(t).\nAnswer: -3*(t - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27 and 30.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6861 and 99.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - 9*p**2 + 5. Let z be t(9). Let l = z - 2. Suppose -v = -8 - l. List the prime factors of v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -78 + 77.74. Let h = 0.04 - n. Let w = 67 - 333\/5. Which is the nearest to w? (a) 1 (b) h (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 29)*(-126)\/49. Suppose 4*k - 69 = 3. Let d = k - 9. What is the greatest common divisor of w and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 - 13*v. Let p(j) = -221*j. Let f(b) = -51*d(b) + 3*p(b). Let a(r) = 90*r. Give a(f(y)).\nAnswer: -4590*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 11:50 PM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 243 and 5778?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - (-1 + -76))\/(222\/9176) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*p - 44*p**2 + 65*p**2 - 3*p**2 - 11*p**2 - 12*p in the form b + i*p + s*p**2 and give s.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a centimeter in millimeters?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/13)*j*j*j*j\/j**(-4)*(j**0\/j)\/((j\/((j\/(j\/(j**6*j)*j))\/j))\/j))\/((j\/(j*j**1))**26)**44 assuming j is positive.\nAnswer: j**(15029\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2\/397 - -1598\/1985. Let f = 11.9 + -12.9. What is the smallest value in f, k, -5, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 15, e: 5}. What is prob of picking 2 e?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 103 + 35 = 3*h, r = 5*h + 110. Let d be ((-1)\/3)\/(7\/h). Solve -1 = o + d for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, x: 3}. Give prob of picking 1 x and 1 u.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16749739.\nAnswer: 101, 383, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1726 and 11064523.\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + 5. Let m = g - -8. Suppose m*v - 18 = v. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (96\/40)\/(12\/(-1280)). Let g = o - -339. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/1*(52\/(-8) - -6). Suppose -d*n = -5*m + 3*n - 675, -540 = 4*m + 2*n. What is m rounded to the nearest 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293957816 to the power of 1\/2, to the nearest integer?\nAnswer: 17145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y - 1. Let o be h(-1). Let p = -1683890\/9 - -187099. Is p < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + 33 - (-4 - -1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -7.6. Let p = 15.3 - 16. Let m = l - p. Sort m, -5, -0.5 in decreasing order.\nAnswer: m, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 824498.\nAnswer: 2, 412249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-1420)\/18105)\/(2\/3 - 0)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2232*c**2 - c - 8. Let i be v(4). Round i to the nearest one thousand.\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/4)*p)**42*p**(-8)\/((p*(p*p*p**(-7)*p)\/p)\/p) assuming p is positive.\nAnswer: p**(57\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 8:11 PM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 7, y: 2, r: 1, p: 2}. What is prob of sequence apap?\nAnswer: 7\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -11*o**2 - o - 10. Let c(s) = -s**3 - 5*s**2 + 9*s + 8. Let p be c(-6). Let f be m(p). What is f rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/7 (b) -3\/5 (c) 4381\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 623521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12*m**3 - 28*m**2 + 425*m + 206360 wrt m?\nAnswer: 36*m**2 - 56*m + 425","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227*l - 116*l + 3570 = 196*l for l.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17 by -40567.\nAnswer: -17\/40567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + -1 + 1)*17. Let f = t + -15. Suppose 2*z + f = 3*z. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -19, -4, 17, 44, 77, 116, 161?\n\"Answer: 3*v**2 + 6*v - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 160196 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110010000100010100110 + -1100?\nAnswer: -1110010000100010110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 2*c - 2 = 0, v + 5*c + 131 - 150 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*b**2 - 84 + 173 - 89.\nAnswer: -22*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(20)\/sqrt(5))\/sqrt(2) + -5*sqrt(4)\/sqrt(2) + -4)**2.\nAnswer: -192 - 128*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-40)\/6)\/((-6)\/9). Suppose 0 = -v*l + 12*l - 4. Solve 2*n - n - 15 = -4*o, -l*n = 2*o - 12 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 4*o**2 - 6*o + 2. Let s be m(2). Put 5, -1, -5, s in ascending order.\nAnswer: -5, s, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 3 + 8 + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - 6 + 6)*(-3*q - 2*q**2 + 3*q)*(4 - 4 - 2*q).\nAnswer: 12*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 4*c + 5. Determine f so that -12*f**3 + 12*f**5 - 5*f**2 + 0*f**2 + f**2 + c*f**4 = 0.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, -51, -0.74?\nAnswer: -0.74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32989 is divided by 276?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*l - 13*l + 3*l - 4*l**2 - 11*l**2 - 60 + 8*l as g*l**2 + i + u*l and give g.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -4*k**3 - 9*k**2 + 64*k - 191. Let v be w(-14). What is the highest common factor of v and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0237 + 0.4237. What is the fourth biggest value in 1, q, -86, -1?\nAnswer: -86","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d - 6. Let y be w(5). Let s(b) = b**2 - 6*b - 5*b**2 + y + 3*b**2. What is s(-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 PM and 5:08 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -b + 16, -2*b - 2*f - 10 = -3*b. Let i = 3 + 4. Let n = i + 15. What is the remainder when n is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -5*l**2 + 7*l - 12. Let j(y) = y**2 + 1. Let r(o) = 6*j(o) + n(o). Calculate r(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -615739486 divided by -113\nAnswer: 5449022","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.03 - 0.43. Let m = 0.198 - 0.398. What is the closest to 1 in m, x, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4590 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100 + 106 + -60 - -44.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20302, -40256, -60210, -80164, -100118?\nAnswer: -120072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*p**2 - 708 - 703 - 87*p - 146*p**2 + 1411 to the form t*p + k + u*p**2 and give u.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2. Let c = 51 + -42. Let u(t) = 4*t**2 + 9*t**2 - 2 - 7*t**2 + c*t**2. Give g(u(j)).\nAnswer: 225*j**4 - 60*j**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -446 - -506. Does 60 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -39927\/8 and 71 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3759 is divided by 110?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (4784\/(-7774))\/(4*(-14)\/52)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 291298*s = 291570*s + 37536 for s.\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 96769, 193519, 290269, 387019, 483769?\n\"Answer: 96750*j + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*g - 87*g - 759 = 0. Suppose 630 = -68*z + g*z. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 12528303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/11766644 and -85\/2608.\nAnswer: 47066576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(42\/(-16558)) + (-36)\/(-126). What is the greatest common divisor of h and 156?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - u + t = -2, 5*t - 26 = -3*u. Let x be 13 + -7 - (-484)\/(-66) - 13\/(-6). Let v(k) = -k + 3. Let f be v(3). What is the smallest value in x, u, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) 1\/54 (c) -97 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*j = -1 - 3, 0 = 3*r + 2*j - 20. Let u be r\/(-24) - (-11)\/(-6). Which is the closest to -2\/3? (a) u (b) 0.3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48, -60, -86, -132, -204, -308, -450?\nAnswer: -636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -134 + 136. Put 1, -3, b, 0.2 in ascending order.\nAnswer: -3, 0.2, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) -32 (c) 0.06 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from shtt. Give prob of sequence htt.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -271*h + 89*h + 90*h + 93*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 + 13 = -4*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*i + 31*i - 32 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1 and 43?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 592150?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 205, 204, 201, 196, 189?\nAnswer: 180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1450748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -5 - k - 11 + 1. Let a be 1 + -4 + (5 - -10) - 115\/5. Determine z(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 1)*(11 + 87 - 12)*(-7*j + 3*j + 2*j) as r + n*j and give n.\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -81, -92, -107, -126, -149, -176, -207?\n\"Answer: -2*q**2 - 5*q - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/286 and -10\/7.\nAnswer: 2002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 258000 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4 = 0, -6 = 12*j - 14*j - 4*q. Which is the nearest to 0.2? (a) 0.2 (b) j (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -1152466 - 7*t + 1152466. Let r(y) = -110*y**2 - 2. Give r(u(d)).\nAnswer: -5390*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 593411993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 104 in -2\/53, 0.4, 4.44?\nAnswer: 4.44","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.35377897 - 0.3538. What is w rounded to six dps?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1198.387 nanometers to millimeters.\nAnswer: 0.001198387","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hff when three letters picked without replacement from hhhfffhffhhfffhfhhfh.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 - -21. Let a be (-3)\/((-117)\/(-2))*3. Which is greater: x or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 462956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 2 - (1 + 3 + -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6, -3\/5, 378\/17?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 495 and 385588995.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -320 + 325. Solve -k*s + 8 = -j - 0*j, -5*s = -3*j - 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3684*w + 2204 = 1891*w + 1869*w for w.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of -1 - (-30 + (-4)\/((-12)\/9)) and 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -1138*h**2 - h + 1. Let v be x(4). Let n = 18130 + -11819. Let m = v + n. What is m rounded to the nearest 1000?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/(-12))\/(1\/(-2)). Suppose 2*c + 5 = 3. Let v be (-4)\/3 + (c - -3). What is the closest to h in v, 4\/5, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/119946 and 5\/162.\nAnswer: 3238542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 11*p**2 - 4*p - 7. Let v be (30\/9)\/(2\/(-6)). Is h(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 502, -1\/6, -0.3, 16 in descending order.\nAnswer: 502, 16, -1\/6, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, 23, 100, 251, 500, 871, 1388, 2075?\nAnswer: 2956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 x when two letters picked without replacement from {x: 4, c: 6, s: 2}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -600*u + 2582*u - 693006 = -4097*u for u.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 12:46 PM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 1. Let u be s\/(-3) - 1*14. Find the common denominator of -2 and 25\/u - 2\/4.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 36 = -4*z, 7*w = 3*z + 16*w - 33 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1151 + -1150.999859. Round z to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of -w**7\/30 - w**4\/8 - w**2. Find the second derivative of u(y) wrt y.\nAnswer: -84*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6726 or 6727?\nAnswer: 6727","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + 6*g + 9. Let t be l(7). Suppose 2*h + 5*i = -21, 5*i + 30 - 1 = t*h. Let j = -49 + 57. Solve -m - h*p + 11 = -2*m, m - p = -j for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20.55 - -0.45. Let t = l + -20.993. Let v = -0.00699954 + t. What is v rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2700*u. Let g(w) = -5*w**2 - 3 + w + 4*w + 1 + w**3. Let y be g(4). Let f be h(y). Round f to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n, -4*n = 4*u - 5*n. Solve 0 = -2*a - u*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 + -17 - ((55 - -11) + (-8 + 3 - -2)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (28 - 23) + 162 + -173\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -4*c**3 + 3*c**2 - 4. Let y(j) = 1 + 1 - 2 + 2*j**2 - 3 - 3*j**3. What is 4*s(d) - 6*y(d)?\nAnswer: 2*d**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 AM and 1:32 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 11 (b) -1\/5 (c) 1 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -525*f**3*k**3 - 166*f**3*k + 65*k**3 - k**2 - k + 96 wrt f?\nAnswer: -1575*f**2*k**3 - 498*f**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -51060?\nAnswer: 51061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1720982?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47.21 + -0.21. Let i = -46.7 + k. Which is the nearest to -1\/2? (a) 3 (b) 2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13241 (base 5) to base 13.\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 27031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 5*x**2 + 2*x + 10. Let l(z) = 2. What is k(v) - 5*l(v)?\nAnswer: 5*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 4*y - 51 + 3 = 0, -38*b + 10*y - 7*y + 271 = 2*y for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 2 - 6. Suppose -3*f + 40 + 41 = 0. Suppose -4*d - 4*y = -44, -4*d = 5*y - f - 14. Solve c - k = a + 4, -3*c + 2*k = -d for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -0.2, -1, -4, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (107 - 346)\/((-2)\/(-4)). Let i = o + 526. Is -1 smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-24)\/(-9) - 1)\/(14\/(-42)). Sort f, 3, -52.\nAnswer: -52, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q - 7. Let m be t(6). Suppose -2*h - 46 = -u + h, 5*u = m*h + 200. Suppose 5*o + 3*z + 0*z - 90 = 0, u = 2*o + z. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 AM and 2:27 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a meter in millimeters?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/5 of a meter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from cooouoxxooxxxooox?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27.992 + -28. Let i = -1.811 + -1.497. Let l = z - i. Round l to 0 dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j. Let w(s) = 18*s**2 - 12*s + 12. Let p(u) = -u**2 + u - 1. Let r(k) = 12*p(k) + w(k). What is r(z(b))?\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3405833047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14.1 - 0.9. What is the fourth biggest value in -3, 5, h, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32\/37 at least 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -56.881 + -0.119. Let v = 83 + z. Let i = v + -25.8. What is the nearest to 0 in 5, i, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.08662 kilograms in grams?\nAnswer: 10086.62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1078)*-3)\/sqrt(128) + (3*-3*sqrt(1100) - (sqrt(1100) + 2 + -3))**2.\nAnswer: -1621*sqrt(11)\/8 + 110001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -7, -6 in decreasing order.\nAnswer: 7, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48 + -46. Suppose 6*x = i + 22. Let a(m) = m + 33. Let c be a(-10). Solve 2*f - x*v + 18 = 0, -3*v + 8*v - c = 2*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 258, -64, -386?\nAnswer: -708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-6 + 4)) + (4 - -1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 0. Let w be (-4)\/4 - (j - 2). Let p = w - -2. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35640 is divided by 5091.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/27 (b) -0.06 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 - -7. Let t = y - -5. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88822?\nAnswer: 2, 89, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-32)\/(-48))\/(4\/(-18)). Put -4, k, -11 in descending order.\nAnswer: k, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-13)\/(-15) + 8\/60 - -1*6801?\nAnswer: 2, 19, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 825 divided by -165.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -3 - 3) + -16.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18641933 rounded to four decimal places?\nAnswer: 0.1864","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o**3 - 1710*o**2 - 14*o**3 + 731*o**2 + 979*o**2 + 1.\nAnswer: -11*o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/180?\nAnswer: -1\/180","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 5)*(-u + 4*u + 0*u) - 3*u + u + 5*u + (3 - 2 - 4)*(1 + 2*u - 1).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 189827 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 152543 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: Let u be (-629)\/4 - (7 - (-200)\/(-32)). Let y = u - -180. Is y a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n + 5. Let b(x) = -4*x + 11. Calculate -6*b(u) + 13*i(u).\nAnswer: -2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 6*g**2 - 5*g - 38. Let h(q) = 11*q - 4. Let r be h(1). Is v(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of -a**4\/4 - 35*a. Let n(i) = -24*i. Calculate n(u(y)).\nAnswer: 72*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 14*p + 274. Let h be f(-17). Suppose -h = -21*x + 6. Solve -2*v = x*r - 0*r + 12, 5*v - 3*r + 14 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/164 and 103\/1142340.\nAnswer: 46835940","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(3*1\/(-3)). What is the hundreds digit of -7 - -7 - (-155)\/(s + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + 13*c**2 - 3*c - 17. What is the remainder when 63 is divided by u(-13)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 7:37 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -198*f**2. Let a(n) = -n. Calculate p(a(d)).\nAnswer: -198*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4*s - 4 = -0, 12 = -2*u - 4*s. Let y = u - -2. Solve -2*o + o = y for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 300 divide 1229100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-18)*3 - (-782)\/51?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*a**4 + 71 + 17*a**2 - 74 - a - 5*a**4 to the form o + x*a**4 + v*a**2 + w*a**3 + j*a and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3400 and -834.\nAnswer: -2835600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 2:53 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 221200 + 11?\nAnswer: 221211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 12, n: 7}. Give prob of sequence njn.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 3 + 4)*(-5 + 0 - 1)*(3*r + 1 - 1 + (2*r + 2 - 2)*(3 + 1 - 2)) to a*r + w and give a.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 40 = 2*o - 25, -5*o - 70 = -3*z. Solve -4*u - 5*y = 32, 2*u + 4*y + z = -7 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -404711, -1617972, -3640069, -6470996, -10110747, -14559316?\nAnswer: -19816697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**(-1)*x*x**(-2\/17))\/((x*x**3)\/(x\/((x\/(x\/x**(-6)))\/x)))*(x**3*x*x**(-3))**25 assuming x is positive.\nAnswer: x**(525\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 271317?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k - 6*k + 35 = 0. Let j be (2 - (-6)\/(-12)) + -2. Which is the closest to -5\/6? (a) 4 (b) k (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xt when two letters picked without replacement from {x: 6, t: 2}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d + 0 + 1 + 0*d. Let w(f) = -5*f. Let t be (-30)\/(-80) - (-11)\/(-8). Let j(r) = t*w(r) - 4*v(r). Differentiate j(m) wrt m.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 - 10*z + 17. What is f(7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - -1 - 4)*1. Let w(k) be the first derivative of 6*k + 8 + 1\/2*k**2. Calculate w(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 5*s + 3*s = 10, -4*j - 4*s - 4 = 0. Suppose 0 = j*h + 3*q - 26704, -5*h + 5*q - 4*q = -66777. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83910 - 167858 + 29*h**3 + 83949.\nAnswer: 29*h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 6. Are -1\/4 and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of 2\/7*p**7 + 0*p**2 + 0*p + 0*p**4 + 49\/3*p**3 - 7\/5*p**5 + 10 + 0*p**6. What is the third derivative of z(i) wrt i?\nAnswer: 240*i**3 - 168*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -4*r**4 + 204*r**3 - 1608*r**2 + 4096*r - 2688 = 0.\nAnswer: 1, 4, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8034 - -8033.74. What is the nearest to l in 0.15, 3\/2, 0.1, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 7 + 0*f**3 - 11*f**3 - 78*f + 114*f - 88*f to the form c*f**3 + t*f**2 + k*f + j and give k.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 1595*p = -1594*p - 5, 26 = -95*k + 4*p + 6 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 + 15. Let j be 768\/(-3264)*2\/(-4). Which is the third smallest value? (a) n (b) j (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 4*x. Let d(z) = 3 - 3 - z**2 + x. Let h(m) = -2*m. What is h(d(o))?\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**3 - 90*r**2 - 4*r + 219. Calculate g(45).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -2*-2*((sqrt(1900) - (sqrt(1900) - (sqrt(1900)*-2 + sqrt(1900)))) + 1 + 3 + 2 + sqrt(1900) + sqrt(1900))*2)**2.\nAnswer: 8000*sqrt(19) + 124100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 556278791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -ae3ad (base 16) to base 14\nAnswer: -148109","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 4*u = 0, 2031 - 2023 = -s - 4*u for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 18176010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 PM and 3:13 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4376010 a multiple of 199?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*(-2)\/28*6. Let f = -0.52164 - 0.47836. Which is the nearest to f? (a) -3 (b) 30 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a milligram in micrograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 130670?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -6. Suppose -2*b - 2*d - d + 12 = l, -2*d = 4. What is the greatest common divisor of 63 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 3*z**5 + 11*z**4 + 12*z**3 + 4*z**2 = 0.\nAnswer: -2, -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + (3 - 4) - -1) + 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 30601 = 5*v - 30576, 7 = -y - 3*v for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of -3 - 2*v - 9\/2*v**2 + 11\/3*v**3 - 1\/4*v**4. Is o(10) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8574939\/5 or -1714989?\nAnswer: -1714989","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 685145 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -184306, -368670, -553076, -737518, -921990, -1106486, -1291000?\nAnswer: -1475526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - (-2 - -22)) + 17 + -7\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of 6*c**2 + 0 + 0*c**3 + 1\/12*c**5 + 0*c - 1\/24*c**4. Find the second derivative of w(a) wrt a.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h*h*h**(2\/3))\/h)**(-4\/17)\/(h\/h**(-3\/2)*h*h\/h**(2\/15)))**46 assuming h is positive.\nAnswer: h**(-19527\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 20*b**2 + 24*b - 24. Let l(f) = f**2 + f - 1. Let m(j) = -j**2 - 17*j - 6. Let z = 23 + -38. Let c be m(z). Give c*l(w) - t(w).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 p, and 2 c when four letters picked without replacement from pphcbuphppcbupuui.\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 385 = 3288*m - 3281*m. Calculate the remainder when m is divided by 37.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17165*q**2 - 13775*q + 3390 = 0.\nAnswer: -1, 678\/3433","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 827.\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3*o**3 - o**2 + 3*o - 17. Let r(p) = -p**2 - 1. Calculate m(w) - 3*r(w).\nAnswer: -3*w**3 + 2*w**2 + 3*w - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*y = 3*y - n - 28, -y = -0*y - 5*n + 157 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 (base 5) in base 13?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(4\/23)\/(a*a**(-11)*a)*(a**(3\/19))**24)**(-30) assuming a is positive.\nAnswer: a**(-169950\/437)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwnbwwnwbwwn. Give prob of sequence bw.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3657195521 to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12.5*-4705.2.\nAnswer: 58815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -265, -250, -235, -220, -205, -190?\nAnswer: -175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/26, 0, -1, 0.134, -0.32?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 600 a factor of 357386949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 159 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 265*d**2 - d - 373*d**3 - 265*d**2 + d**3 + 2*d**2 - 2*d**2 + (-3*d + 0*d + 2*d)*(d**2 + 0*d**2 + d**2).\nAnswer: -374*d**3 - d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 485362751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 65343 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3\/7, 4, 24.83, -3\/2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 5*y - 27. Let s be l(7). Suppose 24 = -h + 4*d, -4*d + s = 3*h - 0*h. Let v = -3 + -2. Is v equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*0.07892\nAnswer: 0.3946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 316711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuv when three letters picked without replacement from {v: 1, i: 5, u: 6, t: 4}.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8, -52, -128, -236, -376?\n\"Answer: -16*f**2 + 4*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-2))\/((2 - 6)\/52). Suppose 0 = -c*q + 4*q + 36. Solve 7 = -5*m - q*j - 2, -5*j = 4*m + 9 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 475 and 3325.\nAnswer: 3325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 18110 divided by 5\nAnswer: 3622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -0.256?\nAnswer: 0.0768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 22942295303 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(11\/3)*v\/v**(4\/7) assuming v is positive.\nAnswer: v**(86\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a decade in years?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 203 a factor of 119464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(440)*1 + sqrt(440))\/sqrt(10) + sqrt(396)*-1 + sqrt(44))\/((sqrt(4) + sqrt(100))*2 - (sqrt(4) + (sqrt(4) - 1*sqrt(576)))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -129, 3\/4, 3\/8, -0.23, -4 in decreasing order.\nAnswer: 3\/4, 3\/8, -0.23, -4, -129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 6*w + 167. Let t be h(-28). Let u be 22\/(-33)*(1 + -4). Let l be 5 + (u - 1 - 1). What is the biggest value in 2\/7, 0, l, t?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2*2\/(-12))\/((-1)\/(-15))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/35 - 1\/5. Which is the third biggest value? (a) 1 (b) o (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -651 + 637 + (-3 - 2)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/((10\/5)\/(-2)*1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 58.9 + -53. Let o = m - 5.899967. Round o to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**2*g**(-2\/5)*g*(g*g*g\/(g\/(g*g\/g**(-2\/3)))*g)**(-16) assuming g is positive.\nAnswer: g**(-1306\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -109*l**2 + 72*l - 71*l + 7 + 4 + 8*l**3 + 105*l**2 as p*l + c*l**3 + q*l**2 + i and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-108)\/(-45))\/(6\/20). Let w = -2 + x. Find the third derivative of 6*g**2 + 28 - 4*g**w - 28 wrt g.\nAnswer: -480*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 24 - 4 = 0. Let t be 69\/9 - v\/6. Let c(o) = -6*o**3 + 2*o**2 - o - 2. Let h be c(-1). Is h smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*o + 1)*(-5413 + 2900 + 2927)*((-3 - 2 + 4)*(3 - 2*o - 3) - 2*o + o + 2*o)*(2*o - 5*o + o).\nAnswer: 4968*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -15a - 3a5?\nAnswer: -554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do -484057191 and -484057191 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 10 = 2*f, 6*f + 6*n + 0*n - 3*n + 21 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k**3\/2 - 81*k**2 + 4374*k - 78732 = 0. What is k?\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/7 - 38385664*g - 1289276800630784.\nAnswer: -2*(g + 67174912)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48 and 168.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1187724451?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1719.2, 1, -13, -0.21 in descending order.\nAnswer: 1, -0.21, -13, -1719.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.3 take away 0.5?\nAnswer: 27.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20384597*t**4 + 85852*t**2 + 55*t.\nAnswer: 489230328*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - 14. Let m = u - -2. Suppose 3*v = 54 - m. What is the remainder when 52 is divided by v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 + 1 + 11*p + 4*p - 6*p - 4*p - 109*p**2.\nAnswer: -109*p**2 + 5*p + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 4*m**2 - 1. Let l be s(3). Let f be (-3 + 2)*0 - -11. Let k = f - l. Solve -1 = -a + k*o, 4*a - 3*o + 6 = -o for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/9*(-349146)\/(-155176)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20319069 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145251?\nAnswer: 3, 16139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -332132564?\nAnswer: 332132556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (256\/(-20))\/((-6)\/15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -j - 9, -2*j - d - 9 = -0*j. Suppose 0*v + 3*g - 25 = 5*v, 3*g - 9 = -3*v. Put 4, j, v in decreasing order.\nAnswer: 4, v, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 14744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = 4*b + b. Let g be 568\/(-30) - (-2)\/(-3). Let d = g - b. Put 4, -3\/2, d in descending order.\nAnswer: 4, d, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of l**3*s*z - l**3*s + 2*l**3*z + 1932*l**3 - 2*l**2*s*z + 199*l**2 - 3*l*z - 2*s - 2*z wrt l.\nAnswer: 6*s*z - 6*s + 12*z + 11592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-72799)\/(-14) + (-4)\/(-56)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 10. Suppose -39 = -5*c - 4*p, -i*c + 4*c - 6 = -4*p. List the prime factors of c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 275115.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -108, -247, -418, -627, -880, -1183, -1542?\n\"Answer: -m**3 - 10*m**2 - 102*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0*(2 + -3) + 15\/(-3). Is 3\/((15\/(-11))\/i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -656*-270.73.\nAnswer: 177598.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, e: 2}. What is prob of picking 4 e?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -18 + 16 + -21?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of -a**5\/20 - a**4\/4 - 4*a**2 - 4*a - 1. Differentiate w(d) wrt d.\nAnswer: -3*d**2 - 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*o + 2*o. Suppose -z - 4*z = 15, -4*u + z = -323. Calculate the remainder when u\/100 - (1008\/(-15))\/1 is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36626160 and 2397.\nAnswer: 2397","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(2\/3))**(-26\/7)*i*i**(-4)*i**(5\/3)*i assuming i is positive.\nAnswer: i**(-137\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35.481 + 0.281. Let f = 35 + p. Let g = -9 + 12. What is the nearest to -0.2 in -4, f, g?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-643 - -10)\/(6\/(-34)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354671 to the power of 1\/2, to the nearest integer?\nAnswer: 596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -5280478 in increasing order.\nAnswer: -5280478, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 54, 157, 310, 513?\nAnswer: 766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of -a**5\/5 + a**4\/3 + 8*a**3\/3 - 8*a**2 + 1548*a. Factor d(t).\nAnswer: -4*(t - 2)*(t - 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2749, -2008, -1267, -526?\n\"Answer: 741*n - 3490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 0 + 3 = i, -5*i + 15 = -3*d. Let t be 2\/(-6) + 4885\/3. What are the prime factors of 2\/i + t\/33?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 7:30 PM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 5*y - 31, 2*y - 3*u + 8*u - 34 = 0. Let d = 2501 - 2494. Suppose d*g + y = 8*g. Calculate the remainder when 27 is divided by g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.7 and 0.071?\nAnswer: 0.0497","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.376 and 31.\nAnswer: 42.656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7404462 or -81449066\/11?\nAnswer: -7404462","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 75501511 to the power of 1\/3, to the nearest integer?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/9 - 7026\/(-27). What is the hundreds digit of (-99)\/12*t\/(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1164103, 1164355, 1164607, 1164859, 1165111, 1165363?\n\"Answer: 252*b + 1163851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 35092.84 to the nearest one hundred.\nAnswer: 35100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14692 is divided by 54?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 74*f**3 + 3*f**2 + f - 63. Let v(n) = 73*n**3 + 4*n**2 + n - 64. Let d(p) = 3*v(p) - 4*x(p). Find the second derivative of d(u) wrt u.\nAnswer: -462*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61\/2 - 27\/18 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 47 - 19 = 0. Suppose 2*f = w, f + 6 = -2*w + n*w. Sort -3, 2\/9, f in increasing order.\nAnswer: -3, 2\/9, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 78578532 and 58563.\nAnswer: 707206788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.42, -3\/5, -2\/87?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of 0*p**7 + 0*p**3 + 155\/336*p**8 + 0*p**4 - 97\/30*p**5 - 108*p**2 + 0*p**6 + 0 + 0*p. Find the third derivative of u(x) wrt x.\nAnswer: 9300*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2 + 134*z - 276.\nAnswer: 2*(z - 2)*(z + 69)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-6226.9\nAnswer: 2490.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7.39 and 2.\nAnswer: -14.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10995 <= 10994?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9\/(-4)*8\/(-3). Let r(n) = 2*n - 7*n**2 + 15 + 0*n**3 - 18 + 4*n + n**3. Calculate r(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155679 = -335*r - 155009 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express g + 0*g + 0*g + (4 - 2 - 1)*(0*g + 3*g - g) + (5 + 2 - 3)*(27 + g - 27) as z + o*g and give o.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, p: 4, k: 4, t: 2}. Give prob of picking 1 k, 1 t, and 1 p.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 + 16*d - 37. Let j be f(-23). Let x(w) = 7*w**2 - 3*w - 3. Let h be x(-2). What is the greatest common factor of j and h?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18748990.13 rounded to the nearest 1000?\nAnswer: -18749000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 38893.73 kilometers in centimeters?\nAnswer: 3889373000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (1 - -3) - (-5 - (2 - 3))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + 14*l**2 + 28*l - 58. Let j be o(-11). Which is the smallest value? (a) -2 (b) 0.05 (c) j (d) 170\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3709 (base 10) in base 6?\nAnswer: -25101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 9*s - 28. Let f be b(2). Let j(y) = -14*y - 61. Calculate the remainder when j(f) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -7. Let z = 3 + -9.4. Let k = 6 + z. What is the nearest to 1 in -1\/5, w, k?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 1 + 3\/1)*-2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1892419, -3784833, -5677245, -7569655, -9462063, -11354469?\nAnswer: -13246873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3402 (base 6) in base 11?\nAnswer: -662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13 and 19.369283.\nAnswer: 251.800679","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - 2*c - 10. Let h be ((-10)\/(-8))\/(3\/(-12)). Let l be a(h). Suppose 5*t + n - l = -0*n, 36 = 4*t + 4*n. Solve 1 = j - t for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1188*v + 21593 = -18214 - 39051 + 12330 for v.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 4*f. Let s(o) = -1088*o**2 - o - 1. Calculate c(s(t)).\nAnswer: -4352*t**2 - 4*t - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 10 = 4*j - 2, 2*u + 9 = 3*j. Is (-31908)\/(-24) - (1\/2 - u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 296400 to the nearest 10000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/4 at least -120613?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000004420879 to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 to the power of 1\/2, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1\/13, -2\/59, 20, 0.38, 1\/4, 3, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 5:23 PM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -1\/67304?\nAnswer: -1\/67304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 4)*(-b + 0 + 0) + b - 2*b + 6*b.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from hhhhhhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of -5*p**3\/6 + 5*p. What is the tens digit of r(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, e: 4, k: 3}. What is prob of picking 3 k?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 0 - 2 = 0. Let t = -58 - -58. Which is smaller: f or t?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + 12*o**2 - 18*o. What is d(4)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.15 + 0.05. Let t = -5 + 0. What is the second biggest value in w, 2\/5, t?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (1 + 26 + -6 - (6 + -3))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 5 - b**2 + 0*b**2 + 6*b**2 - b**3 + 5*b. Let l(n) = 3*n + 3. Let h be l(-9). Let v = -18 - h. Calculate y(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35426695 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqeqrqrrlueqqqurel. What is prob of sequence rqu?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) -2.3 (c) -4\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 11 = 5. Let s = c - -9. Solve 2*x = -1 - s for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1536))\/sqrt(192).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2596\/154 - (3 + (-44)\/14). Suppose b = -2*c + 67, -14*b + 114 = 3*c - g*b. Calculate the remainder when 172 is divided by c.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -42 in 150, 3, -0.3, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*z - 92 = -2*p, 0 = z + 4*p + 106 - 80 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((11\/(-4))\/(-11))\/((-3)\/6)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-18)\/5)\/((-4)\/10). Let v = l - 8. Let h be (-1 + (1 - -2))*(9 + -7). Solve 16 = -h*j - 5*t + v, 3*j + 12 = -3*t for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -0.01, 10, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/6 + (-21)\/(-45). Suppose -4*v + 2*k = -2, 4*k + 1 = 3*v + 2*v. Let g = v - 4. Sort g, o, 1 in ascending order.\nAnswer: g, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**3 + 2*n - 4*n**3 + 5*n**3 + (5*n**2 + 68*n**2 + 34*n**2)*(15 - 6*n - 14 + 4*n).\nAnswer: -215*n**3 + 107*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(1\/2))\/i**(2\/7))\/(i\/i**(-5)*((i*i**2*i)\/i)\/i) assuming i is positive.\nAnswer: i**(-109\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*x = 37*x - 17*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 0*j + 4*j. Suppose j = 4*l + 3*l - 224. Suppose g + 3 - l = 0. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 22c + -2?\nAnswer: 22a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 893*p**3*x**3 + 63*p**3*x**2 - 3*x**3 - 2*x**2 wrt x.\nAnswer: 5358*p**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/26 and 33\/10*(-90)\/(-144) + 4?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -ccb4?\nAnswer: -ccb1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-7))\/(13*(-8)\/(-364)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37982*m**3 + 36932*m**3 - 18*m**2 + 18*m**2.\nAnswer: -1050*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of -r**4\/12 + 27*r**3 - 6561*r**2\/2 + 177147*r - 226. Factor c(b).\nAnswer: -(b - 81)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4*p - 3136 = 0, 5*r - 2*p - 14523 - 1103 = 0. Let u = 10019 - r. Suppose 5*j - 47908 = -2*w - 13406, -j + 5*w + u = 0. Round j to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 288 - 282. Let b = 24 - 24. Suppose -s + 28 = 3*g, -s = 5*g - 42 + 8. Solve 4*t + p - s = b for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 - 5*o - 5. Let r be s(7). Let x = 33 - r. Let h = 36 - x. What is the greatest common factor of h and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1601, 3239, 4927, 6689, 8549, 10531, 12659, 14957?\n\"Answer: 4*v**3 + v**2 + 1607*v - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 830587863 to the power of 1\/4, to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -5a25 (base 11) to base 4\nAnswer: -1323110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a - a + 1 + 16*a**2 - 13*a**2 + (a - 1 + 1)*(3*a - a + 0*a) - 92 + 92 - 8*a**2 as q + s*a**2 + w*a and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - 9*b**2 + 729*b - 8249. Determine m(11).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1417, -1881, -447, 3833, 11907, 24723, 43229?\nAnswer: 68373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 183ac (base 13) in base 2?\nAnswer: 1011011011000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 469 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 623, -2, 0.4 in decreasing order.\nAnswer: 623, 0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, h: 6, w: 1, z: 3, n: 3}. What is prob of sequence zwzh?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millisecond in microseconds?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -10. Let z be (-15)\/12 - (s\/4)\/5. Let b be 16\/(-6)*((-2)\/(-8) + z). Solve -3*x + b*x = -4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1368424?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.05 - 0.05. What is the nearest to -1 in j, 0.5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -2*a**3\/3 - 61*a**2 - 120*a - 504. Find f, given that y(f) = 0.\nAnswer: -60, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qdssddujjaqj. Give prob of picking 1 j and 1 a.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*x + 13*x - 16*x. Let r(q) be the first derivative of x*q + 0*q**3 + 1\/2*q**4 + 1 - q**2. Find the second derivative of r(c) wrt c.\nAnswer: 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00032755 rounded to 6 dps?\nAnswer: -0.000328","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - -74?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -45a2 + 2?\nAnswer: -45a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-1 - (-2 - 0)). Let t = -1058 + 1062.99. Let i = t + 0.01. Which is the biggest value? (a) -0.3 (b) f (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.6762, 2, 1, 4?\nAnswer: -0.6762","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 32 (b) 0.031 (c) 38953\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 73399946 to the power of 1\/5, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -17, -5, 23, 67, 127, 203?\n\"Answer: 8*h**2 - 12*h - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least -915\/320287?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 13*j - 27080 = 0. Suppose -13*d + 3376 = -j. What is the remainder when d is divided by 59?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 + -14. Solve -w = -0*w + m*x, -5*x = -4*w - 17 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60557 divided by 7.\nAnswer: -8651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (11 + 4 + 4)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11811356 divided by 11811356?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 21\/8 of a centimeter?\nAnswer: 26250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6.572569 micrograms?\nAnswer: 0.000006572569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30590 and 48944?\nAnswer: 244720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 1. Suppose -5*x + 6*x - 24 = p. Does 8 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2145 times 10.5211\nAnswer: 22567.7595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -93 + 137. Suppose 6*t - 3*t + 36 = 2*b, l = 2*b - 5*t. Solve 0 = -4*o + o + b for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 63 and 105?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -2*t + 1410. Let q = t - 277. Suppose -3*d - j + 10 = 0, 0*d + 3*j = 5*d + 2. Calculate the lowest common multiple of q and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 1 + 2, 2*t - 3*f = 3. Let d = 706 + -701. What is the first derivative of -13 - 20*l + d - t wrt l?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.983*66.\nAnswer: -64.878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011100101011 + 10?\nAnswer: -10011100101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j**2 + 4*j**2 - 5*j**2 + 2*j**2.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.17 (b) -10 (c) 3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47150128 is divided by 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -1 - -7) + -23 + -5?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -390522 + 208267011?\nAnswer: 207876489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + 1)*5\/(-5). Let a(j) = -4 + 1 - j**2 + 4*j + 0*j**2 + v*j**2. What is a(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 450 a factor of 2434349929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 184*(-10 - (-715)\/26). What is the highest common factor of x and 280?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 81 - (78 + (128 - 232))\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a + a - 4*a)*(-10 - 13 - 21) to the form c + b*a and give b.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, -2, -0.5, 1\/3 in ascending order.\nAnswer: -4, -2, -0.5, 1\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34 by -95.\nAnswer: -34\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 6, 5, -5, -440, 32, 4 in decreasing order.\nAnswer: 32, 6, 5, 4, -4, -5, -440","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 5*c + 18 = 0, 0*t + 2*c = -t. Is t\/(-2) + 36 + -4 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13151736 and 10296.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3371 divided by 12.\nAnswer: -3371\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/5, -1\/3, 1\/9?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 31 (c) -5 (d) 4 (e) -0.1 (f) -1078\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 100473348*o**2 + 50236682*o + 4.\nAnswer: 2*(2*o + 1)*(25118337*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 3*l + 29. Let u be z(-8). Suppose 0 = -5*c - u*j + 14 + 6, 4*c + j = 19. What is the closest to 0.14 in c, -0.3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 363 and 316899.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 4. Let m be -6 - (-4)\/(2 - r). Let s(n) = n + 3. Let v be s(m). Let d(b) = 9*b**3 + b**2 + b + 1. What is d(v)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 0 (c) 55 (d) 5 (e) -1\/8 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*12\/8 + 6*5\/30.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrrrrr. Give prob of sequence rrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x**3 - 13264*x**2 + 10995856*x = 0. Calculate x.\nAnswer: 0, 1658","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(374)\/sqrt(11) - (sqrt(34) + (sqrt(374)*4)\/sqrt(11)))\/(-2*(sqrt(6)\/(sqrt(3)*-2) + sqrt(6)\/sqrt(3)*3)).\nAnswer: 8*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2457*a = 17438*a - 1213461 for a.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 37 * -0.0504.\nAnswer: -1.8648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(539))**2 + (-2*sqrt(11))**2 + 0 + (sqrt(121)\/(sqrt(33)\/(sqrt(12)\/sqrt(4))))**2 + 4.\nAnswer: 14*sqrt(11) + 599","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6080 and 7713848?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1744, 2298, 2850, 3400, 3948, 4494, 5038?\nAnswer: 5580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen sixths of a day in minutes?\nAnswer: 4080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 2:01 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -804 (base 10) to base 15.\nAnswer: -389","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2450 + -2450.1. Let q = 10 - 24. Let o = 18 + q. What is the nearest to v in o, 3\/2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000086216 rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away 6.56?\nAnswer: -7.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 96\/18 + 8\/(-6). Let -g*l**3 - 23*l + 22*l + 3*l**3 - 2*l**2 = 0. Calculate l.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3*j**2 - 8*j + 150. Let b be n(9). Let i = 145 + b. Sort 5, i, -1, -3.\nAnswer: i, -3, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 PM and 7:10 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + 2 - (-4 - -7). Suppose c*j = -5*j + 15. What is the remainder when 3 is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50305950.\nAnswer: 2, 3, 5, 111791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2158 is divided by 193.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 0. Suppose r*g = -g. Find k, given that g + 4\/11*k + 2\/11*k**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*(-10)\/(-15)*3. Let v(w) = -39899*w - i + 2 - 6. Let d be v(10). Round d to the nearest 10000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j - 5. Let w be d(7). Suppose h + 11 = 3*b, -5*h - 4*b - 21 = -w*b. Let n(z) = -z - 4. What is the units digit of n(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 - -22.5. Let p = u + 9. Let q = p + -2.500068. Round q to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-105*f**2 - 17*f**2 - 68*f**2)*(-f + 0 + 0)*(13 + 12 - 4).\nAnswer: 3990*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31358 + 31691. Which is the nearest to 0.2? (a) 2 (b) 1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7743897 and 378?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 31856 and 2896.\nAnswer: 31856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -245*x + 2434. Give f(9).\nAnswer: 229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 12 + 5. Suppose -2*p + s = -9. Calculate the least common multiple of 20 and p.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3031175\/24 + -126329. Let w = r + 89\/3. Suppose 15 = -5*y - 10. Which is the second smallest value? (a) w (b) -3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 2*c**3 - 29*c**2 + 29*c**2.\nAnswer: 2*c**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 + 3*l + 9. What are the prime factors of w(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/15 - (-294)\/30. Let l = -135 + 145. Are l and c equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42725142?\nAnswer: 2, 3, 907, 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 46280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1a3236 - a?\nAnswer: 1a3228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 135977249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 10 = 5*w, b + 2*w - 7*w = -10. Let k(u) = -11*u + 5. Let l be k(b). Solve -n + l*n = -4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 149 + 11*i + 36 + 47*i + i**2 - 20.\nAnswer: (i + 3)*(i + 55)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 310 is divided by (-10 + 9)*(-293 + -3) - -4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of -231*g**6\/10 - 719*g**3\/6 + g - 111. Find the second derivative of b(d) wrt d.\nAnswer: -8316*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22209931.\nAnswer: 22209931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1)*m)\/m**(-2\/13)*m**(-1\/12)\/m*m*m**(1\/3)*m)**(-1\/5) assuming m is positive.\nAnswer: m**(-73\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - -1) + 6\/((-42)\/35). Which is the fourth smallest value? (a) 21 (b) t (c) -0.4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q**2 - 22295*q - 3769040 = 0. What is q?\nAnswer: -4283, -176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -230*x**2. Let o(v) = 162846*v. Determine q(o(f)).\nAnswer: -6099328534680*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -77 (b) -2\/7 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 843 - 833. Let k(x) = 2*x**2 - 6*x + 2. Let o be k(-6). What is the highest common divisor of f and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-61*2\/10)\/(882\/(-35)). Let x = -1\/63 - j. Which is the fourth smallest value? (a) x (b) -0.2 (c) 0.3 (d) 6\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -0.21, -4, -22, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -274.94 + 274.9443325. What is y rounded to 4 dps?\nAnswer: 0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (74\/(-814)*(-11)\/1)\/(2\/(-100))\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 86 + -86. Let c be o + -3 - -10 - 5. Solve -2*f - 6 = 3*f - c*z, 5*z = f + 15 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1020657203\/3 or 340219068?\nAnswer: 340219068","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 240*j - 242*j + 13 = 0, 5*v + 29 = -4*j for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 4 + ((2*(sqrt(17) + sqrt(17)*-2)*-1)**2 - ((sqrt(17) + sqrt(51)\/sqrt(3))*-2 - (sqrt(17) - (-1 + sqrt(833))))) + -1.\nAnswer: -2*sqrt(17) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10492240 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3645249 divided by -22.\nAnswer: 3645249\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1993\/10164 + -5\/121. Let z(v) be the third derivative of s*v**4 - 4\/105*v**5 + 7*v**2 + 1\/420*v**6 - 2\/7*v**3 + 0 + 0*v. Suppose z(q) = 0. Calculate q.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 497, 905, 1313, 1721, 2129?\n\"Answer: 408*b + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 + g. Let w(v) = -11*v**2 + 18*v. Let p(h) = 3*k(h) - w(h). List the prime factors of p(-3).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4 + 3 + 4)*(-3*r + 4*r + 2*r) + 10*r + 5*r + 5*r)*((3 + 0 - 4)*(-4 + 1 + 1) - 4 + 2 + 1) to j*r + k and give j.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.025 (b) -1\/3 (c) 0 (d) -0.5 (e) -0.8 (f) -0.1 (g) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -35593*h - 4093203. Calculate v(-115).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2152.7 + 2153. What is the second biggest value in w, 3, 6\/19, -1\/3?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 2*r - 8 = -0, i = -2*r. Let m be i\/8*8\/(-7). Which is smaller: m or 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -27146, -27461, -27994, -28751, -29738, -30961, -32426, -34139?\n\"Answer: -d**3 - 103*d**2 + d - 27043","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3845843 divided by -23029?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/1800 and 103\/1260.\nAnswer: 12600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 667 + -626. Suppose -4*i = -5*v + p, -8*v + 2*i = -10*v + 20. Solve 0 = -v*b + 6*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 7 + 15 + -9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 AM and 5:13 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9112 = -7*j + 36549. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -4*q. Let i(d) = -d**2. Let a(t) = h(t) + 12*i(t). Let y(c) = 13*c**2 + 5*c. Suppose -1243*x - 1812 = 1655 + 1505. Determine x*y(n) - 5*a(n).\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -899*d - 1. Let f be j(-2). Suppose -4*c = 5*g - 2385, -3*c = g - 0*g - f. Round c to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-1\/3))**(-10)\/(c**(1\/4)\/c)**(-28) assuming c is positive.\nAnswer: c**(-83\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -87 (b) 1\/6 (c) 3 (d) -269 (e) 0.5 (f) -47\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2*d**4 + 264*d**3 - 29994*d**2 + 696920*d - 1828104 = 0.\nAnswer: -211, 3, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -h + 2*g, -3*g - 82 = 4*h - 2*h. Let b be 2\/(-5) + (-189)\/h + -2. Let d(y) = -1 - 3*y + b*y**2 - 9*y**2 + 7*y**2. Calculate d(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13117 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 PM and 3:17 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*r + 2*h = -45*r + 17*r, -r + 7*r - 2*h = -3*h for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -58 * 298.\nAnswer: -17284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7581 * 1839.\nAnswer: 13941459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3 and -35182.55.\nAnswer: -35182.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.0714 * -5\nAnswer: 0.357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (13*b - 22*b - 21*b)*(-2 - 3 + 4) + 10*b - 2099 + 2099 + (-3*b + b + 0*b)*(-2 + 2 + 1) - b - 3*b + 2*b - 2*b - 5 + 5 as i*b + m and give i.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 9\/14 of a week?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-20\/9)\/a**(-3\/10))**(2\/3) assuming a is positive.\nAnswer: a**(-173\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17*k**2 + 26 - 26)*(7 - 4 + 8)*(8 - 8 - 8*k**2) as i*k**3 + a + u*k + m*k**4 + f*k**2 and give m.\nAnswer: 1496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2216*f - 2195*f + 8 + 4411*f + 5*f**2.\nAnswer: 5*f**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50 - 50 + 41*r.\nAnswer: 41*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + j - 4 + 2, -4*s = 3*j - 6. Suppose 53 = 3*m - 5*o, 10*o - 14*o - 45 = -5*m. Put -4, -44, s, m in decreasing order.\nAnswer: m, s, -4, -44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 55*f**2 + f. What is the units digit of i(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -158588, -158590, -158592, -158594?\n\"Answer: -2*x - 158586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3477 is divided by 191.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 12) to base 4.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 0 + -2 - (-2 - -5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2350 - 1651. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of -1 + 0*i + 1\/2*i**2 + 1\/2*i**4 + 0*i**3. Find the second derivative of l(c) wrt c.\nAnswer: 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -27, -36, -53, -84, -135?\nAnswer: -212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 2 - (6 - -10 - 13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -393605 (base 11) to base 5.\nAnswer: -124312041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 3) + (-316864)\/(-158300). Let p = f + 1499215699\/2414075. Let q = -621 + p. Which is smaller: q or 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 29*q + 27*q + 20 = 0, 3*j = -23*j + 3*q - 141 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + l**3 - 4*l**3.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -111 + 111. What is the nearest to -2 in x, 1\/8, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**2 - 42 + 730*p + 0*p**2 - 711*p + 27 + 38. Determine y(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 2*h - 160, 3*r + 3*h + 260 - 32 = 0. Let u = 80 + r. Suppose -u*b + 157 = -33. List the prime factors of b.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(396) + -3 + sqrt(396) + -3 + sqrt(396))**2 + 3*sqrt(396) + 0 + -4 + 5.\nAnswer: -198*sqrt(11) + 3604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 77, 123, 173, 227, 285?\nAnswer: 347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 6, g: 1, i: 1, r: 1, u: 1, w: 3}. Give prob of sequence rig.\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -33*a + 31*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*k - 2. Find the first derivative of -m**2 - m**k + 5 + 5*m**2 wrt m.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/9 + -2)*-3. Let x be 11\/(-22)*(-4)\/i. Solve -7 - x = -2*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10101 + -14574. Round t to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 251 + 24444331?\nAnswer: 24445022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-237)\/21 - 4\/(-14). Let h(t) = t + 8. Let r be h(x). Suppose 0 = -2*n - 5*w + 18, -4*w = 6*n - n - 28. Sort r, 0, n in ascending order.\nAnswer: r, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**3 - 3*p**3 + 3*p**3)*(-21*p**2 + 4 - 4) + (p**3 - 1 + 1)*(7*p**2 + 3*p**2 - 12*p**2).\nAnswer: -44*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 277881021?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**(-3)*y))**(2\/5))**(-41\/3) assuming y is positive.\nAnswer: y**(-82\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/19 (b) 44\/23 (c) -0.9 (d) 0 (e) -2 (f) -4\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, 580, 770 in descending order.\nAnswer: 770, 580, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104*c**3 - 203*c**3 + 105*c**3 - c**2 + c**2.\nAnswer: 6*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 56\/(-12)*(-12879)\/954\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -65, 0.1, -5, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1495493.\nAnswer: 47, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + k + 1309 = -140, 2*n + 4*k = 702. Is n a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/19)\/(8*(-3)\/48)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 7 - 13 = 0. Calculate the least common multiple of q and 84\/(-30)*15\/(-6).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2565752 (base 8) to base 4\nAnswer: 2232233222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*m + 5468 - 968. Is m a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (1\/(-11824))\/(256\/(-8960)) and -37\/24.\nAnswer: 35472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 46*o**2 + 15*o - 1522. Let c(r) = r. Determine c(q(k)).\nAnswer: 46*k**2 + 15*k - 1522","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*z = -32*z - 302118. What is z rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 64, 259, 584, 1039, 1624?\n\"Answer: 65*w**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.13 (b) -5 (c) 0.1 (d) 13 (e) -4 (f) 105\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0055567 rounded to 5 dps?\nAnswer: 0.00556","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17767.218 - -17788. What is a rounded to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6360873 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 d(a) = -a + 7. Suppose -3*h = -2*k - 0*k + 1, -3*h - 4*k + 29 = 0. Suppose -h*s - 5*o = -5, 3*s = -0*o + o + 17. What is the units digit of d(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -111*r**5 + 555484*r**3 + 735153960*r wrt r?\nAnswer: -2220*r**3 + 3332904*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 994, 3382, 7160, 12340, 18934, 26954, 36412, 47320?\n\"Answer: 2*h**3 + 683*h**2 + 325*h - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pwy when three letters picked without replacement from pwwyeeydpydm?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8) + (sqrt(8) - (sqrt(8) + sqrt(128))) - sqrt(8))\/sqrt(4)*6)**2 + 3.\nAnswer: 1155","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 1:36 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5 + sqrt(208))*-4*-2.\nAnswer: -240 + 192*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23281*x**2 - 143794*x wrt x.\nAnswer: -46562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 794 - 25. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 6. Let l = 202553 - 202552.96. Is l < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -5*x + 2*c, -4*c - 2 = x - 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12164 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of -53*w**4\/12 + 3*w**3 + 6*w + 3. What is the second derivative of i(n) wrt n?\nAnswer: -106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74 (base 10) in base 7?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/5, 1\/3, 186622.36?\nAnswer: 186622.36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 15 + 45\/(54\/(-6)). Suppose 24*s + z = 4*q + 29*s, -q = -2*s - 9. Calculate the lowest common multiple of 132 and q.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k + 525. Let t(a) = 105. Let y(s) = -o(s) + 5*t(s). Let m(x) = 4*x - 4. Give m(c) + 3*y(c).\nAnswer: 7*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in -0.067, -0.2, 0.2, -6, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -77*m + 971 - 31*m**2 + 36*m**2 + 77*m to the form i + v*m + w*m**2 and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 q when three letters picked without replacement from {q: 1, o: 3}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 5, -230938, 1, -1.\nAnswer: -230938, -5, -1, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 678 + -680. Sort -5, 4, f, 6.\nAnswer: -5, f, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 0) + -8 + (-3 - 3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 4 - -9 - 3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 554*l*x + 9*x - 16 with respect to l.\nAnswer: 554*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 4:08 AM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 5423.73 to the nearest ten.\nAnswer: 5420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -141 + 141 - 18*x. Let y(z) = -5*z**2 + 3*z - 3. Let c(i) = -5*i + 4 - 7*i + 6*i**2 + 8*i. Let j(k) = -3*c(k) - 4*y(k). What is j(s(r))?\nAnswer: 648*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5073067 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4517 + -4517. What is the nearest to 2\/3 in 1, 69\/5, -6\/13, q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 702 = -3*c + 7*h, 2*c - 438 = -4*h. Let u = c - 221. Solve -p + u = p + 5*n, -4*p + 3*n = 10 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19)\/((-456)\/(-1080)) - -24.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l + 4. Let w be (-9)\/4 - (-12)\/48. Let o be t(w). Solve -2*b - o = -b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 663257\/29 + 720\/10440 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -106 + 2556*f**2 + 186*f**2 + 106 + 2456*f**3 wrt f.\nAnswer: 14736","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**3 + l**2. Let c be z(1). Let y(p) = p + 9. Let o(k) = -2*k - 10. Let j(f) = -2*o(f) - 3*y(f). Let m be j(7). Put -2, m, c in descending order.\nAnswer: c, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4627896787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**2 - 1655*t - 1075*t - 2 + 425*t + 0.\nAnswer: 2*t**2 - 2305*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + 1872\/128 + (-9)\/24?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 5*m + 185, -100 = 4*u + 4*m + 104. Let k = u + 95. Is k a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -62 - ((1405 - 1435) + 43 + -1)\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10.13 - -10. Let i = n - 0.27. Are -0.1 and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -69011*b**3 + 154*b**2 - 92?\nAnswer: -414066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eight thirds of a day?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - 13.69.\nAnswer: -15.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 712 = -2*y, -4*y + 3*g - 8*g - 1397 = 0. Let o be 44\/(-55)*385\/14. Let s = o - y. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-488)\/4096)\/((-6)\/(-4)) and -85\/8.\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -41558, -41502, -41446, -41390?\n\"Answer: 56*k - 41614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 99 - 100. Which is the nearest to -1? (a) -12 (b) -2\/15 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a micrometer in nanometers?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 9*d**2 - 14*d + 3. Let v be z(-7). Suppose 77 - 23 = v*y. Calculate the greatest common divisor of y and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 4, 3, 488, -5.\nAnswer: -10, -5, 3, 4, 488","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 135 + -70. Let o(h) = 18*h**3 - 2*h**2 + 2*h - 1. What is the remainder when x is divided by o(1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2122 divide 55083184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + -1 + sqrt(98) - sqrt(98) - sqrt(98)) + -4)**2 - (sqrt(14)\/(sqrt(7)*-3) + sqrt(32) + -1).\nAnswer: -11*sqrt(2)\/3 + 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-65 - -61) + (11 - 0).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 35393715 to the power of 1\/2, to the nearest integer?\nAnswer: 5949","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 35\/(-75)*6*30. Let d be h\/147 - 8\/(-14). Factor d - 1\/6*x**2 + 0*x.\nAnswer: -x**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2536502531 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 AM and 6:35 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5106?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -16*g**2 - 3*g + 5. Let i be l(8). Let v = -12529\/12 - i. Find the common denominator of -29\/4 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9696308ml in litres?\nAnswer: 0.0009696308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 125 and 2?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 18*m - 28. Give t(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14194?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 559*a**3\/2 - 3*a**2 - 559*a\/2 + 3 = 0.\nAnswer: -1, 6\/559, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - (-27)\/12) + -2. Let w = 8 + -12.4. Let t = w - -1.4. Which is the biggest value? (a) -2\/11 (b) t (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = -3*x + 9*v - 64674, 3*x + 64671 = v. Is x smaller than -21556?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*i*s*w - 3*i*s + 8*i*w - i + 87*s*w - 1 wrt s?\nAnswer: -2*i*w - 3*i + 87*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -426475\/36 + 47835\/4. Let y = s + -112. What is the closest to 0.1 in y, -5, -1\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/1928576 and 11\/104?\nAnswer: 1928576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2321587 divided by -1\nAnswer: -2321587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 10:51 AM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2694524735?\nAnswer: 5, 7, 17, 487, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(((sqrt(27)*-1)\/sqrt(3))\/(sqrt(3) + (sqrt(15)\/(sqrt(5)*-3) - sqrt(3))) + 5))**2.\nAnswer: 480*sqrt(3) + 832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-220)\/(-165))\/(((-6)\/8)\/(468\/(-192))).\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 694014857 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -16, 89.\nAnswer: -16, 4, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**0)**(-42)*((l*l**0)\/l)**(1\/36) assuming l is positive.\nAnswer: l**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - 5*b**2 - 4*b - 6. What is i(-5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 + 4*r - 137. Let t be s(-14). Suppose 4*m + 17 = t*y + 48, -5*m = -5*y - 35. Sort -1, -2, 4, m in decreasing order.\nAnswer: m, 4, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -9*((-64)\/21 + 3). Let p = -24\/95 - -1\/19. What is the nearest to p in l, 4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 29, 70, 113, 158?\n\"Answer: v**2 + 38*v - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30905 is divided by 86?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 138\/9 + (-4)\/(-6). Suppose 2*j - q = -2*j. Suppose -4*z + 20 = h, -j*h = -z - 3*h + 5. Is z a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 140, 278, 414, 554, 704, 870, 1058?\n\"Answer: m**3 - 7*m**2 + 152*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*i**4\/5 + 292008*i**3\/5 + 265253762*i**2\/5 - 9175366356*i - 2480603728\/5 = 0. What is i?\nAnswer: -2047, -2\/37, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 16\/(-20)*(-5)\/2. Suppose -n*r = -8 + 24. Let g be (-2 - -1)*r - 2. Solve w = g*w - 15 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-434)\/4)\/(-1)*2. Let z(p) = -p**3 + 5*p**2 + 9*p - 5. Let o be z(6). Suppose u = 5*g - o. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of t**5\/30 - 3*t**4\/4 - 17*t**3\/6 - 81*t**2. Let y be i(10). Which is bigger: y or 60\/17?\nAnswer: 60\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 4*l - 8 = -2*j, 3*l = 3*j + 6. Let x = 0.03 + 0.27. Let u be 5*(-1)\/(-3)*-1. Which is the nearest to -0.1? (a) x (b) j (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*v - 4 + 3 - 6*v.\nAnswer: -66*v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 6, y: 1, s: 2, o: 1, i: 3}. What is prob of picking 1 i and 3 e?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*4\/((-48)\/12).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1176) - sqrt(24)) + sqrt(24))\/sqrt(12) + sqrt(2))*-2.\nAnswer: -16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2200*l**3 - 3 - 4361*l**3 + 7 + 2200*l**3 to the form q*l**2 + j*l**3 + z + r*l and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 0 + -17 - 2?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -2061312?\nAnswer: 2061312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 10 + -9 + -11?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26.400000221 + 26.4. What is b rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 284.4413 grams to tonnes.\nAnswer: 0.0002844413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*v - 114 = -4*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/5 - (-19)\/(-15))*-3. Solve 1 = 3*u - 5*w + f, 9 = -2*u - 3*w for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**5 + 29*k**4 + 365*k**3 - 865*k**2 - 364*k + 836 = 0. What is k?\nAnswer: -11, -1, 1, 2, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(14\/(-2) - -6)*1. Let c(p) = -1080*p**3 - p**2 - 2*p. Is c(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.67 - 2.13. What is v rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 18\/17 (b) 57 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-81 + 1)\/((-38)\/323).\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -a**2\/4 - 3437*a\/4 - 514818 = 0.\nAnswer: -2664, -773","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1325\/543 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d. Let s be q(-5). Suppose -199*j = -272*j. Let i be s\/(-45) + ((-5)\/(-9) - j). Is i at least as big as 63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8181*r - 8188*r - 112 = 0 for r.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68464.31 decades to centuries.\nAnswer: 6846.431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3479 + -3477. Solve -15*f + k + 13 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + 6*m**2 + 23*m + 92. Let y be u(-5). Let p(b) = -2*b**2 - 3*b + b - 15*b**y + 3*b + 2*b**2. Let n(f) = -7*f**2. Calculate -13*n(d) + 6*p(d).\nAnswer: d**2 + 6*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 14*t**2 + 14*t + 27. Calculate z(-13).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.84 - 562519.\nAnswer: -562519.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1171 divided by -18121\nAnswer: 1171\/18121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2801 is divided by 353.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 AM and 10:20 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 7*s + 3*a = 45, 4*s - 4*a - 76 = 0. Suppose -4*v - 5*l = -s, v - 2 = 4*l - 3. Let f = -3 - -4. What is the greatest common factor of f and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/6 of a minute?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - ((1 - (0 - 3)) + 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yjmmmnvmmytmmv. Give prob of sequence my.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + v + 8*v)*(1 - v - 1 - 1).\nAnswer: -7*v**2 - 7*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3713 + -3710. Sort -7, 2, -0.3, x in descending order.\nAnswer: x, 2, -0.3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003817 rounded to six dps?\nAnswer: 0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 2*j + j = -24, 5*h = 4*j + 4. Suppose h*q = -n + 56 + 27, 0 = -5*q + 5*n + 135. Solve -3*u + 5*f = -2*u + 18, 4*f - q = -3*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 4*o + 101. Let k be y(-21). Suppose d - 5*r + k = -1, 4*r = d + 14. Solve -d*n - 2*w = 6, n - 5*w = -2*n - 17 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 11:05 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 2*z = 5, 0 = -s - 134*z + 137*z + 11 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 2*c**5\/11 - 534*c**4\/11 - 10834*c**3\/11 - 9762*c**2\/11 + 10832*c\/11 + 936 = 0.\nAnswer: -18, -1, 1, 286","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 4*u - 8, 20*u - 17*u - 6 = 0. Suppose -4*c + q = 0, 12*r - 16*r = -2*c - 4160. Is 27 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 5*g + 107. Let t be v(-19). Solve -8 = i + 3*c - 0, 2*i + t = -4*c for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7\/8 of a kilometer?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of s**7\/56 - 47*s**6\/80 + 153*s**5\/32 - 97*s**4\/8 - 41*s**3\/4 + 99*s**2 + 2122*s. Solve g(b) = 0.\nAnswer: -1, 2, 4, 33\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 23815 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 125719263 divided by 160561?\nAnswer: 783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 7*w = -58, -21*o + 273*w = -20*o + 278*w - 46 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77057?\nAnswer: 251, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -185715*j - 5. Let u be x(-7). What is u rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -33*l - 174 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from yrrrrryyyrrry.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 91\/2 of a millimeter in micrometers?\nAnswer: 45500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -637 + 979. Suppose 12 = x*h - 336*h. Let l = -0.1 + 0.3. Which is the second smallest value? (a) h (b) 1\/8 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x**5\/5 - 147*x**4\/5 + 135*x**3 + 1983*x**2\/5 - 4632*x\/5 - 1908 = 0. What is x?\nAnswer: -53, -2, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16.7 - -16.7234. What is x rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = f + 2*f - 223, c = -5*f + 353. Let o = f - 69. Let z(k) = k - 1. Let h(x) = 0 - 2 + 0*x - x. What is o*z(q) - h(q)?\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*q = -19*q + 132. Let l = q - -48. List the prime factors of l\/2 + -7 + 2 + 4.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 377 + -19. What are the prime factors of n?\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 5*l + 20. Let a be (10\/1)\/2 + 2. Let u(f) = -7 - 3*f + 5*f + 9*f - 6*f - a*f. What is 11*u(w) + 4*y(w)?\nAnswer: -2*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01771 minus 57305050?\nAnswer: -57305050.01771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 92189.\nAnswer: -184378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of 2*o**7\/21 - 7*o**6\/15 - 7*o**5\/2 + 25*o**4\/6 + 11*o**3 - 18*o**2 - 3*o + 77. Determine c so that x(c) = 0.\nAnswer: -3, -1, 1\/2, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 10:05 PM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 40513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110022021100212 - 10?\nAnswer: -110022021100222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 222, 319, 468, 657, 874, 1107?\n\"Answer: -2*j**3 + 38*j**2 - 3*j + 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1465256387 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.86 - -2.14. Let h = 4 - 0.7. Let k = h - a. What is the second smallest value in k, 0.2, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 18 = -4. Let 0*i + 7*i**2 - f*i**2 - 27*i - 14*i**2 - 3*i**3 = 0. Calculate i.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**42\/(c*c**(-16)) assuming c is positive.\nAnswer: c**57","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -30\/17 at most as big as 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -30*x**2 + x + 1. Let m be d(-1). Suppose 0 = 3*t - 10 - 92. Let b = m + t. Solve -l = o + 3*o + 12, -4*o - b = -l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*o**2 - 5*o**2 - 165*o**3 - 2*o - 1 + 198*o**3 as i*o**3 + w*o + a + n*o**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d - 1139 + 1139.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -400.\nAnswer: 3\/200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, w: 3}. What is prob of sequence pp?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 + 5*x. Let d be s(-4). Let k = d - -7. Let v(f) be the second derivative of -f**5\/20 + f**4\/4 - f**3\/2 + 2*f**2 - 2*f + 1. Calculate v(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 530, 1069, 1608?\nAnswer: 2147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 100 = -5*n, -n - 13 = z - 29. What is the highest common factor of z and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 - 1)*(-o**3 + 4*o**3 + 2*o**3) - 12*o - 35*o - 4271*o**3 + 4275*o**3 in the form r*o + a + c*o**2 + m*o**3 and give r.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -29*b - 17. What is j(-2)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 242760 and 1224?\nAnswer: 728280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 507153999*x - 6 - 507153997*x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -71*d - 343. Calculate the smallest common multiple of h(-5) and 84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5 - (0 - -1)\/(-1). Let i be (-5)\/7*29\/3 - 4\/42. Put i, -3, 5, a in descending order.\nAnswer: 5, -3, a, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + 17*p**2 - 5*p + 81. What is r(17)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -8 + -2 + 79 + -81?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, -4, 38, 5, -5.\nAnswer: -37, -5, -4, 5, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -11.041*-4\nAnswer: 44.164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 390979 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 278426294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o**3 - o - o + 5*o**3 in the form d*o**2 + n*o**3 + q*o + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -1221?\nAnswer: -1221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 2*x + 15 - 4 = 0, 4*s + 4*x - 16 = 0. Factor 2*v**3 - 5 + 0 - 6*v + s.\nAnswer: 2*(v - 2)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -103 + 8\/2 - 1. Let k = y - -142. Is k a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 33*h. Let g(j) = -11*j. Determine 4*c(v) + 11*g(v).\nAnswer: 11*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 61*b*d**3*i - 41*b*d**3 + 2*b*d**2*i - b*d*i - 763*b*i - 133*d**3*i + 2*d**3 + 50*d*i wrt d?\nAnswer: 366*b*i - 246*b - 798*i + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, -50, -1953 in descending order.\nAnswer: 34, -50, -1953","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 - -4) + -225 - (1 + -1). Let p = x - -592. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.02, -0.4.\nAnswer: -0.4, -0.02, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 3. Suppose -2*y - 6 = 0, 2*q + 4*y = -2*q - t. Factor -1\/2*h**2 - q + 3\/2*h.\nAnswer: -(h - 2)*(h - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1951.30509 rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + 0)\/((-1)\/5). Differentiate g*y + 6 - 3 + 1 with respect to y.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3410711 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - 17*g**2 + 33*g - 254. Calculate b(16).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wmx when three letters picked without replacement from {w: 1, m: 3, x: 11}?\nAnswer: 11\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94380 is divided by 94373.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10149\/11 + -919. Suppose 3*h + 2*h - 5*u - 6680 = 0, -3*h = -5*u - 4004. Let c = -5311\/4 + h. What is the common denominator of c and x?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1321664, 1321672, 1321692, 1321730, 1321792?\nAnswer: 1321884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.00145 - -0.06855. Which is bigger: 8 or l?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - i = 60, 1892 = -8*w + 5*i + 1829 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 393606678 to the nearest integer?\nAnswer: 19840","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1025.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 4*z**2 - 3*z**2 + 0*z**2 + 23 - 2*z - 20. Let b be r(2). Let c(m) = b*m + m - 9*m. Let k(q) = q**2. Calculate c(k(y)).\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3518, 0.5, 1\/5, 27, -32, -2\/3?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -56 - -123\/2. Which is smaller: t or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1405778 to the power of 1\/2, to the nearest integer?\nAnswer: 1186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 40533385 to the power of 1\/2, to the nearest integer?\nAnswer: 6367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 11:22 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 5*z**2 + 4*z + 3. Let q be m(0). Let s = 109 - 531\/5. Which is smaller: q or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21890653 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3021020332 - 3001?\nAnswer: -3021023333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, a: 5, u: 3}. What is prob of sequence aa?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - 6*i**2 + 8. Let w be d(-6). Let j(v) = v + 13. Let z be j(-7). Let b be (z\/(-9))\/(w\/(-36)). Solve -2 = b*p - 8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -201, 6455, 3.\nAnswer: -201, 3, 6455","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 2, 4, -2 in decreasing order.\nAnswer: 26, 4, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - 2. Let x(t) = 11 + 2*t + 7*t**2 + 2 + 610*t**3 - 2507*t**3 - 5. Let h be x(q). What is h rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -83\/250520?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 3:09 AM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -110 + 112. Let u be (-7)\/(14\/(-10)) - y. What is the third derivative of 14*x**2 + 18*x**2 - 25*x**2 - 13*x**u wrt x?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 274 a factor of 614034?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 135387.\nAnswer: 135387","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - ((-35 - -16) + -11 + -36)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 1 - -2)\/((-9)\/(-71289)). Suppose 2*h = 2*c - w, 2*c = c - h + 7921. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(12\/(-7))*(-120)\/210.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -43 - -62. Let j = -13 + d. Suppose 2*y + 215994 = 3*g, -j*y - g = -11*y - 539998. Round y to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 5) to base 7\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -14 + -56d?\nAnswer: -581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1204179?\nAnswer: 3, 401393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/1146 and -63\/103904.\nAnswer: 311712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -13584787 and -0.4.\nAnswer: -13584787.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 96, 192, 286, 378?\nAnswer: 468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirty-one fifths of a day?\nAnswer: 8928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyu when three letters picked without replacement from {y: 2, u: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 3, -5*c + 21 - 22 = 3*x. Let j(g) = -45*g**2 - 9*g. Let h(s) = -11*s**2 - 2*s. Determine x*j(o) + 9*h(o).\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -915274*m**2 + 1514297*m?\nAnswer: -1830548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -116*v**2 + 39*v**2 + 34*v**2 + 38*v**2. Let a(b) = -13*b**2 + 2*b. Calculate a(g(m)).\nAnswer: -325*m**4 - 10*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 150916191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -272*b - 232. Let m(h) = 13*h + 11. Let q = -74 + 10. Let g(v) = q*m(v) - 3*c(v). List the prime factors of g(-6).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 5*f + 3*f + 13 = 0, 3*f - 11 = q. Suppose -5*l = -2*h - l + 22, -h - l - q = 0. Solve 2*s + 6*s**h - 5*s**3 - 3*s**3 = 0 for s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 20 = -5*w, 3*w + 10*h = 14*h + 12. Let o = 1 + w. Let p(c) = -c**3 - 4*c**2 + 2*c - 1. What is the remainder when p(-5) is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.3960491 milligrams?\nAnswer: 0.0003960491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/23? (a) 1 (b) -5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 3\/5, 2\/9, -0.4, -1.075?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(1\/5)*v**8*(v*v**(-1\/17)*v)\/(v\/(v**7*v*v))*((v**(1\/2)*v)\/v**(-1\/5))**(-10\/11) assuming v is positive.\nAnswer: v**(15517\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1797772*i + 1146812.\nAnswer: -1797772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -65*v**3\/2 - 4465*v**2\/2 - 16300*v - 31560.\nAnswer: -5*(v + 4)**2*(13*v + 789)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 445645?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-2*sqrt(209) + (sqrt(209) + (1*sqrt(209) - sqrt(209) - sqrt(209)))*4)\/(sqrt(88)\/(3*sqrt(200))).\nAnswer: 120*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -0*p - 2*p + 4*m, -p = -m - 5. Let r be p\/(-4) + (-57)\/(-12). Suppose 0 = -6*i + r*i + 18. What is the lowest common multiple of 11 and i?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 9 = -337*s + 334*s, -2*s - 5*o = -34 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -109.5 or -3?\nAnswer: -109.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 22113*d**3*z - 2*d*z + 4*d - 2*z + 776856 wrt d?\nAnswer: 66339*d**2*z - 2*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/9? (a) -15 (b) 0.3 (c) 1 (d) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*n - 4*n = 33. Solve 0 = n*f - f - 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/6 and 79\/27040.\nAnswer: 81120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + -16. Let j be (121 - 87 - 37) + 5\/1. Suppose c - 12 = 5*c. Sort y, -4, j, c.\nAnswer: y, -4, c, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.27589988 rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yqyyooyyooyocyoyyoc. What is prob of picking 1 o, 1 q, and 2 c?\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 502210828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -4*w - 6, 5*w = b + 15. Let k(f) = 2*f - 17. Suppose 10 = 3*x - 26. Let u be k(x). Solve u*c - b = 5*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 + 22 - 12*z - 38)*(-1 - 2 + 4)*(-1 - 2 + 4).\nAnswer: -12*z + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.07 + -1. Let a = 26 - 25.89. Let m = a - w. What is the second smallest value in m, 1\/6, 3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-22 - -14) + 19?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {g: 1, s: 1, k: 3, t: 2, x: 3, d: 3}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/2)\/(2\/(-12)). Let t = -11 + 15. Differentiate -j**t + 2*j**f - 2 - 2*j**3 wrt j.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/5)\/f)**(13\/3)*f*(f*f**4\/f)\/f*f**(-2) assuming f is positive.\nAnswer: f**(-61\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1948921?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 412279 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2021310*f + 22. Let w(o) = o**2. What is t(w(j))?\nAnswer: -2021310*j**2 + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 50963 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 33*f**3 + f**2 + 53*f + 21*f**3 - 11*f**3.\nAnswer: 43*f**3 + f**2 + 53*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -437 + 433. Let c(g) = 53*g + 235. What is the units digit of c(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4)\/(-8) - 0 - 147195\/(-90)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) -0.1 (c) 3\/5 (d) 8 (e) -3 (f) -2\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -59c + 57?\nAnswer: -545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of w**5\/40 + 13*w**4\/8 + 12*w**3 - 283*w**2 + 3. Factor m(z).\nAnswer: 3*(z + 2)*(z + 24)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 8 = -c, -4*g - c = -4*c - 29. Suppose -3*h + 3*u = -39, g*h + 2*u = u + 83. Calculate the least common multiple of h and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of -5*f**4\/36 + 5*f**3\/9 + 5*f. Factor y(s).\nAnswer: -5*s*(s - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/3149 and -44\/5.\nAnswer: 15745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 326983 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -4600?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 657 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 697 - 374. Is f a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 764 divide 16693400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -104, 94, 470, 1054, 1876, 2966?\nAnswer: 4354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 17\/8*1\/4. Let d = -1\/32 + g. Suppose 3*o - 5*q = 8 + 5, 0 = -5*o + 5*q + 15. Which is the nearest to d? (a) -3\/7 (b) 5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4*z + 20 + 6 = 0, 5*z = 2*y + 8. Let i be (1 + -31)*(-14)\/(-28). Are i and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -11*s - 3. Let d(j) = -10*j - 2. Let n(x) = 2*b(x) - 3*d(x). What is n(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 2944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/46953 and -143\/270.\nAnswer: 469530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) - 2*sqrt(88))*-6)\/sqrt(8).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 182*o**2 - 7*o - 62. Is g(35) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of 6*f + 0*f**4 + 0*f**2 + 0*f**3 + 29\/5*f**5 + 25. Differentiate j(d) wrt d.\nAnswer: 116*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3*(4 - 28\/6). Find the third derivative of 31*g**n - 41*g**2 - 1 + 1 + 3*g**3 wrt g.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*z - 3. Calculate the remainder when 11 is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -732*s**3 - 61?\nAnswer: -2196*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1068.1 + 1049.1. Which is the smallest value? (a) 3\/5 (b) u (c) -7.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2)*(-x + 9*x - 4*x)*(-3 + 6 + 0).\nAnswer: -24*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - c + 18 = 0, -3*y + 0*y - 3*c + 18 = 0. Suppose y*r = -2*r - 20. Let g(d) = -5 - d**2 + 2*d**2 + d + d. Calculate g(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - (1 + 5) - -2. Let u be 1*3*(-40)\/y. Let f = u + -11. Calculate the least common multiple of f and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 3*i + 37453, i + 102508 + 47238 = 4*z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30 - 8. Let d = 3 + -3. Let p be -3 - ((1 - -3) + -11). Solve -p*z + b = -5*m, 13 = m - d*z + 5*z for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wiiawpdepawww. What is prob of picking 1 p, 1 d, 1 i, and 1 w?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + 32*s - 235. Let n be i(21). What is the second biggest value in n, -82, -6\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of -5\/6*u**3 + 1\/12*u**5 + 0 - 1\/120*u**6 - 17*u**2 + 2*u + 7\/24*u**4. Calculate l(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((4\/6)\/(28\/21)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 12 = 4*y, 38 = 4*y + 26. Let v = -0.03 - -0.33. What is the nearest to r in 2\/3, v, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - -144. Round t to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -6*x + 11. Let w(h) = 2*h + 2. What is 3*s(q) + 6*w(q)?\nAnswer: -6*q + 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/7 in 2, 18, -9, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -5*n**2 - 170*n + 346. Give s(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 74 = -4*c - 15, -2*r = 4*c - 34. Sort c, -3, -5 in descending order.\nAnswer: c, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 - 21*l + 41. Let i be o(-23). Let g(m) be the first derivative of -m**3\/3 - 7*m**2\/2 - 2*m + 1. What is g(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2187852059?\nAnswer: 233, 1367, 6869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 209431349?\nAnswer: 209431349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) - (-4*sqrt(114)*-2 - sqrt(114)))\/(-6*-3*sqrt(6)) + (sqrt(304) - (sqrt(304) + 1))*-6 + (sqrt(19)*-1 + -3 - (0 + sqrt(76)\/sqrt(4))))**2.\nAnswer: -14*sqrt(19) + 1012\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 774*n - 1238*n + 106*n.\nAnswer: -358*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-72)\/14)\/(((-90)\/(-25) + -3)\/(6048\/960))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -aa (base 13) to base 7.\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 4*s + 58, -2*a + 29 + 47 = 2*s. Suppose -144 = -3*z - 4*w, 0 = z + 5*w - 6 - a. Calculate the remainder when 335 is divided by z.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + 4*o**2 - 3*o + 1. Suppose m + 2*l = -6, -2*m - 2*l = l + 11. What is the tens digit of i(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of -w**8\/1680 - w**7\/630 - w**4\/6 - w. Let n(u) be the third derivative of r(u). What is the third derivative of n(t) wrt t?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 38.054 or 3834?\nAnswer: 3834","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/4*0\/(-3*56\/21). Let j(r) be the third derivative of 1\/3*r**3 + 1\/24*r**4 + 0*r - 5*r**2 + g. What is j(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.02, 2, -74?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3696686 is divided by 184834.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -212.11 (b) 12 (c) -11\/2 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.613 to 0 decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1181 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of b**3\/3 + 2*b - 47. Let y(d) = 6*d**2 + 13. Let z(c) = 2*c + 2. Let r be z(2). Determine r*y(v) - 39*l(v).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from kxlk.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 - 1. Let a be n(1). Suppose a*y + 3*y = -18. Let b be y*(0 - (-30)\/(-4)). What is the greatest common divisor of 18 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 58 and 137.\nAnswer: 7946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/4, 27\/19, 3, -0.1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/3 + (-1)\/(-2). Sort n, 1\/6, 4 in decreasing order.\nAnswer: 4, 1\/6, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -115*i + 14697. What is o(128)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/3 in -3, -0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of -7\/2*l**2 - 1\/3*l**3 + 39*l - 11\/12*l**4 - 1\/20*l**5 + 0. Give g(-11).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.48 + 0.88. Let z = 61\/222 + -4\/37. Which is the nearest to z? (a) -5 (b) 2\/23 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 93*j**2 + 8*j - 919. What is the tens digit of l(-25)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 219018096.\nAnswer: 2, 3, 11, 37, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2*i + 20 = 0, d - 4*i - 22 = 6. What is the greatest common divisor of 60 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 349768079 + 0.3.\nAnswer: 349768079.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -5*r**3\/3 + r**2\/2 - 1. Let i be (-6)\/(-2)*(-4)\/(-12). Let n be y(i). What is n rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + 5*a**2 - 12*a - 8. Let t be d(-9). Let k be t\/(-240)*8\/14. Is k bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*d + 56*d + 206*d + 8557 - 2161 = 0 for d.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2575 and 950?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 217267417891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i + 30 = 4*i. Let c be 1\/(-3 - ((-2)\/(-378) + i)). Let l = -49 - c. Calculate the greatest common divisor of l and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c + 1. Let f be w(3). Suppose 14 = -3*m + 5*m - 5*s, f*s = 2*m - 12. Suppose 0 = l - m*l + 14. Calculate the greatest common divisor of 14 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 86 = -6*c. Let m = -101 + c. Let d be -3*(3850000\/m)\/(-7). What is d rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 850*w - 3774*w - 1610*w to the form c + b*w and give b.\nAnswer: -4534","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21 + 11033?\nAnswer: 11012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddhddddddddjd. What is prob of sequence djd?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**(2\/5))**50*(r**1)**(1\/24) assuming r is positive.\nAnswer: r**(2881\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n**2 + 5*n + 2. Suppose -8*y = -y + 21. What is the units digit of k(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 82*f**2 + 7923*f - 11. Let p(v) = -15*v**2 - 1584*v + 2. Let b(c) = 33*p(c) + 6*q(c). Suppose b(w) = 0. Calculate w.\nAnswer: -1578, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 1:23 AM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(1728)*-3)**2 - (0 + (sqrt(144) + (sqrt(144)*-3 - sqrt(144)) + sqrt(144))\/sqrt(3)).\nAnswer: 728*sqrt(3) + 15577","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 1)*(318 - 110 - 8*h + 9*h).\nAnswer: 3*h + 624","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/15*(31 + -36). Let b(m) = -18*m - 1. Calculate b(n).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/6*36\/(-4). Let j be 2 - 6 - (-84)\/o. Let f = 26 - j. Solve i - f = -i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76381397 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 935 is divided by 67.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 74, 253, 606, 1193?\nAnswer: 2074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18712 - -18711.50004. Let d = 0.5 + r. Round d to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34953353 a multiple of 143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/154)\/((-159)\/1749).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 a factor of 355061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4730 (base 11) in base 8?\nAnswer: 14074","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -3*u + 13595, 4*u + 0*u - 38044 = -14*w. Does 14 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (1 + 18) - (-622 + 630).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245*a + 249*a = 20 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -5*n + 1980, -n - n - 4*c = -792. Does 44 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2976515379.\nAnswer: 3, 311, 739, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 78 and 2626.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 746935321 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 + 27*x**2 + 46*x + 44. Let b be k(-25). Let r = b - 104. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220 + 184 = 6*m, m = 2*j - 4710. Calculate the least common multiple of 48 and j.\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 60*w**2 + 222*w - 85. Give c(-56).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2*k + k - 4 + 112*k - 3190 + 3190 + (1 + 1 + 0)*(-2 + 2 + 2*k) - 4*k + 0*k + 5*k - k - 3*k + 2*k.\nAnswer: 114*k - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15154?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 - (2 - 2) - 2. What is the remainder when ((-91)\/(-5) - c\/(-25)) + 3 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -17. Let i be 4\/k*(15 - 3). What is the tens digit of (i\/(-28))\/((-2)\/(-322))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fourty-one halves of a tonne?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1, 35, 167, 461, 983?\n\"Answer: 11*p**3 - 18*p**2 + 13*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6878 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1102 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 12.9. Let s = 0.035 - 0.177. Let p = s + -18.858. What is the fourth smallest value in -0.1, o, -2, p?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5, 1, 21, 61, 127, 225, 361?\n\"Answer: x**3 + x**2 - 4*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*i + 41*i + v = -3, -v + 12 = 4*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1929 + 1850.9. Let f = w + -12.9. Let c = f - -91.00000037. Round c to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**2\/5 + 3741066*i\/5 - 11223216\/5 = 0. Calculate i.\nAnswer: -1870536, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 34023 times -27?\nAnswer: -918621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4491 is divided by 155.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of -5*f**2 - 17\/120*f**6 + 0 + 0*f**5 - 11\/24*f**4 + 0*f**3 + 0*f. Find the second derivative of d(w) wrt w.\nAnswer: -102*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 152, 595, 1326, 2339, 3628, 5187, 7010?\n\"Answer: -n**3 + 150*n**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34435 and 142.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3*h - 253. What is t(-24)?\nAnswer: -325","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 41825, 167269, 376337, 669023, 1045321, 1505225, 2048729?\n\"Answer: -t**3 + 41818*t**2 - 3*t + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + -5 + (10 - 4). Let c be 4\/6*(-1)\/(9\/(-108)). Solve -3*u + 2*f = -16, d = -0*u + 4*u + 4*f - c for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/80 and -29\/2688?\nAnswer: 13440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1551889?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14\/18 - (-2)\/9. Calculate the remainder when 25 is divided by -14*(i - 6\/3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of -v**4\/4 - v**3 + 3*v**2 + 7*v - 14. What is the tens digit of t(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32341957*g**5*n - g**2 - 108*n + 30084 wrt g?\nAnswer: 1940517420*g**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 - 2*k**2 + 15*k - 24*k + 8 to b*k + j*k**2 + a and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 + 0 - 0) + 0. Let w = 21 + -15. Factor 1 - 2*q**3 - w*q - 1 + 2 + 6*q**a.\nAnswer: -2*(q - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 356723 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u + 7. Let m be w(12). Let v = m - -26. Suppose v*l = 5*l + 96. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-4 - (5 - 3))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 109 - 79. Calculate the smallest common multiple of t and 33.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15343140049 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76) + 2 + 1 + (sqrt(76) + sqrt(76)*-2*4)**2.\nAnswer: 2*sqrt(19) + 3727","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 112 and 26122628.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(81) + 1*sqrt(81)*2)\/((-1*sqrt(18))\/sqrt(6)))\/(4*(sqrt(9) - sqrt(36)\/sqrt(4)) - -2*sqrt(9)*2))**2.\nAnswer: 27\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25120.\nAnswer: 2, 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/6 of a day?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 687396*q**2*z + 12380889*q**2 - 2*q*z**3 wrt z.\nAnswer: 687396*q**2 - 6*q*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - 5*r**2 + 7. Let q be h(-5). What is the highest common factor of q and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -93*b*k**5*o**2 - 1592*b*k**2*o + b*o - 2*k**4*o**2 - k**2*o**2 wrt k.\nAnswer: -5580*b*k**2*o**2 - 48*k*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**3 + 3\/4*r**5 - r**4 - 1\/2 + 5\/4*r + 3\/2*r**2 = 0. Calculate r.\nAnswer: -1, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 3*r. Suppose -u + 32 = 2*t + 12, -t + 10 = -5*u. Suppose r = t*i - 5*i - 1615. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16\/35 - 34\/105. What is the second biggest value in 2\/3, -3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d**2. Let x(u) = 21582*u. Calculate t(x(k)).\nAnswer: -931565448*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.2778503*-0.4\nAnswer: -0.11114012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -247*z + 8710 = 49*z + 39*z for z.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of 317*k**8\/168 - k**5\/60 - k**3\/6 + 367*k**2. Find the third derivative of x(p) wrt p.\nAnswer: 38040*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f**2. Let j(k) = -2*k**2 + 2*k. Let s(y) = 10*y - 20. Let p be s(4). Let q(c) = 9*c**2 - 10*c. Let b(n) = p*j(n) + 4*q(n). Determine b(x(g)).\nAnswer: -16*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22378*o + 8203*o - 4959*o - 9015*o + 80546*o.\nAnswer: 97153*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 607.\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10793519.\nAnswer: 11, 59, 16631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**17\/(x**(-14)*x) assuming x is positive.\nAnswer: x**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 34, 46, 58?\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47 + -40.32. Let o = 0.68 - u. Let s = o - -14. Which is the second biggest value? (a) 2 (b) 0 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbbb. Give prob of sequence bbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1\/4 (b) 1\/5 (c) 6 (d) -3\/7 (e) -0.2 (f) -2\/609 (g) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 1 - 3 + 7*i - 8 + 2. What is the units digit of f(13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 20606 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/3))**11*(c**(2\/5))**(-4))**24 assuming c is positive.\nAnswer: c**(248\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -190 - -193. Suppose -g + 2*w + 14 = 0, 2*w = -3*g - 1 + f. Calculate the remainder when 6 is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of -3*t**6\/10 + t**3\/6 + 7*t. Find the second derivative of k(m) wrt m.\nAnswer: -108*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 87051 - 87050.99906274. Round m to 5 decimal places.\nAnswer: 0.00094","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 n when three letters picked without replacement from fmnrfronnornnrrnfr.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -143541.\nAnswer: 5\/143541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.6 - 55.4. Let l = 63.5 + s. Which is the nearest to 0? (a) 6 (b) 0.3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 12*z + 7*z - 5, 4*p - 2*z - 20 = 0. Let u(r) be the second derivative of -2\/9*r**p - 1\/3*r**2 - 2*r - 1\/18*r**4 + 0. Factor u(a).\nAnswer: -2*(a + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 5*y = -21, 4*y + y = -2*d + 9. Find the common denominator of 89\/18 - 2\/d and 91\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 7, i: 5, u: 8}. What is prob of sequence oo?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -a + 111, -a + k + 539 = 4*a. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = p - 102. Let i = -223 - -597. Calculate the greatest common factor of i and p.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105 = -3*q + 108 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -680 = 190*j + 2882 - 522 for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/((-292)\/148 - -2). Let x be 3\/2 + i\/(-66). Sort 4, x, -4 in descending order.\nAnswer: 4, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rsbwsir. Give prob of picking 1 b and 1 w.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 9:49 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 286.6 - -1363.4. Let p = 1649.98331 - g. What is p rounded to 3 dps?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -s - 23 + 27 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4593757.\nAnswer: 7, 17, 38603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -5*sqrt(17) + ((-5*sqrt(68))\/sqrt(4) - sqrt(17))**2.\nAnswer: -5*sqrt(17) + 610","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -51162470 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4927 is divided by 88?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2585674 to the power of 1\/2, to the nearest integer?\nAnswer: 1608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -261446, -261971, -262496, -263021?\n\"Answer: -525*t - 260921","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32507, -65015, -97525, -130037, -162551, -195067?\nAnswer: -227585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3f (base 16) in base 12?\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 34552623.99 from -3.\nAnswer: -34552626.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - c - 51249, 2*w - 13127 - 7378 = -5*c. Round w to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 1) + (-35 - -24) + -5 + 2?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10734522*z - 8079569 with respect to z.\nAnswer: 10734522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3198171719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-22 - -19) + (1 - -2) - -6\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 9. Let i(x) = -x**3 + 11*x**2 + 7*x - 5. Let p be i(11). Let m = p + g. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 1. Let f(d) = 33*d**2 + d + 3. Give f(r) - 3*l(r).\nAnswer: 33*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b - 4*b + 5*b)*(-21*b**4 + 4*b**4 - 15*b**4) - 4*b**5 + b**5 + b**5.\nAnswer: -34*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 + 8*f - 5. Let i be w(7). What is the highest common factor of i and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c, 1 s, and 1 y when four letters picked without replacement from {s: 1, c: 2, y: 1, t: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3*y**3 - 10*y**2 - 7*y + 3. Let m(n) = -4*n**3 + 11*n**2 + 6*n - 3. Let x(v) = -3*b(v) - 2*m(v). Suppose 202 + 32 = 26*t. Calculate x(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1334 - 2132. Let q be (c\/15)\/(6\/(-75)). What is the greatest common divisor of q and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pkm when three letters picked without replacement from {k: 2, m: 1, p: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10220120222 - -2?\nAnswer: 10220121001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 33*h**2. Let t(a) be the second derivative of a**3\/6 - 14*a. Calculate t(y(b)).\nAnswer: 33*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**(-6)*s)\/(s*s**(1\/2)))\/(s*s\/(s*s**(-2\/9)\/s*s)*s)**31)**(-16\/11) assuming s is positive.\nAnswer: s**(8984\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90 and 80 - 80 - (-23 + -1)?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-42)\/(-8) - 3\/12. Suppose 138 - 6 = 11*x. Suppose -c = -n - x - 8, y*n = 4*c - 77. Calculate the remainder when c is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 338531 and 338521 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 + 0)\/(-1) + 259. Suppose -86 = -3*q + m. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 114550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8686?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2762*q - 2768*q + 6 = 0. Solve 11*y = s + 16*y + 19, q = -3*s - y for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26*a**6*l + 309*a**4*l + 2*a**2*l + a**2 - 8148 wrt a?\nAnswer: -3120*a**3*l + 7416*a*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**4\/5 + 4*z**3 + 6*z**2\/5 - 216*z\/5.\nAnswer: -2*z*(z - 9)*(z - 4)*(z + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-28))\/(-1*(-30)\/15)\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 - 705 = -4*w. Suppose 2*x - 5*k - w = -2*k, -5*x = 2*k - 461. Calculate the remainder when x is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/65 (b) -0.03 (c) 2 (d) 0.011 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + a)*(-39*a**3 - 5292 + 5301 - 28*a**3 + 2*a**2) to the form f*a**3 + i*a + t*a**2 + k + p*a**4 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -229 - 305. Calculate the remainder when y is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 29*m + 240 = -25*m, -2*o - 5*m + 486 = 0. Calculate the greatest common divisor of 186 and o.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 - 19*i**2 - 20*i - 4. Determine v(-18).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1871 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 448 a factor of 7969920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 1, -0.2, 349, 2?\nAnswer: 349","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/5*35\/14. Put -1, f, 5 in descending order.\nAnswer: 5, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1809151797 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5307332118?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (4*(-4)\/(-16))\/(9\/15552) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -3*m - 2 + 0 + 3. Let o(s) = -s - 6. Let c be o(-6). Suppose g + c*g = -1. Give p(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -183388132 by 3.\nAnswer: -183388132\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c**3 + 34614046*c**2 + 69228089*c + 34614044 = 0. What is c?\nAnswer: -34614044, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -130.252 + 14.758. Round r to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - 47*m - 1197. Give u(67).\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.7035 - 252.1.\nAnswer: -252.8035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -1 + (-13 - ((-10 - -3) + 5))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 226, 1988, 6926, 16678, 32882, 57176?\n\"Answer: 273*h**3 - 50*h**2 + h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (20\/(-6))\/(3\/9). Let l = 14 + b. Solve -2*o + 3*r = -5*o - 3, -l*o + 5*r = -23 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 6 - 6 - (-57 + 51)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-7) + (-14)\/49. What is the smallest value in -5, v, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + 4*y**2 + 96991*y - 969305. What is g(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddhdhdddhd. What is prob of picking 1 h and 2 d?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -111100 (base 2) to base 14\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of -13*u**3\/3 + 19. Let f(z) = 3*z. What is f(c(d))?\nAnswer: -39*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/17, 4344388, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1294, -1286, -1278, -1270, -1262, -1254?\nAnswer: -1246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 147*a**4 - 296*a**3 - 304*a**2 + 240*a + 169. Let n(h) = -48*h**4 + 99*h**3 + 101*h**2 - 80*h - 56. Let u(w) = -11*n(w) - 4*q(w). Solve u(i) = 0.\nAnswer: -3\/4, -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = -7 - 5. Let s be (8\/(-2) - 2\/t) + 3. Solve -2*n - j = -s*n + 4, 5*n + j = -4 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.18906*28\nAnswer: -5.29368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1351, 7\/3, -1 in ascending order.\nAnswer: -1, 7\/3, 1351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -4*t - 13. Suppose -t*d + 28 + 56 = 0. Let v be d\/(-110) + 10\/55. Which is the smallest value? (a) 0.4 (b) 2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*h + 41*h = 416. Let v be (-6872002)\/8 + 8\/h. What is v rounded to the nearest ten thousand?\nAnswer: -860000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t + 13. Let b be u(-6). Suppose 2*n - b = -3*r + 23, 2*r - 19 = 3*n. What is the highest common factor of 56 and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 7\/4)*(-14)\/630*4?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102142679 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 502788 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -326*d**2 + 167*d - 8. Let o(l) = l + 2. Let p(g) = -4*o(g) - u(g). What is the second derivative of p(v) wrt v?\nAnswer: 652","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 4*i + 20. Determine s(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-4\/5)*s)\/s**(1\/4))\/(s\/(s**22\/s)*(s\/s**5)\/s) assuming s is positive.\nAnswer: s**(519\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t = k + 12, 4*k - 37*t + 31 = -30*t for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 26 * 19\nAnswer: 494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3\/4 (b) -17 (c) -10 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**4 - 52*l**3\/5 - 14*l**2 - 12*l\/5 = 0. What is l?\nAnswer: -3, -2, -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 572106047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-5)*t*t**(-18))\/((t\/(t*t**(-1)*t)*t)\/t*((t**(5\/4)*t)\/t*t)\/t) assuming t is positive.\nAnswer: t**(-93\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3 + 209*f**2 + 422*f.\nAnswer: -f*(f - 211)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2 - 13472*w - 22686848.\nAnswer: -2*(w + 3368)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1460, -1457, -1454, -1451, -1448, -1445?\nAnswer: -1442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 AM and 1:29 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/21, -5\/6, -1, 5 in descending order.\nAnswer: 5, -1\/21, -5\/6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**2 + 179205972*t + 8028695100116196 = 0.\nAnswer: -89602986","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1201*p**2 - 25*p + 18*p + 7*p + 8403*p**2.\nAnswer: 7202*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 142*h - 6 = -2*m + 122*h, 7*h = -2*m - 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -33330200 (base 4) to base 13\nAnswer: -23960","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 11683764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 621 and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of -23*h**8\/48 + 3*h**5\/20 + h**4\/12 - 173*h**2. Find the third derivative of n(p) wrt p.\nAnswer: -9660*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2 (b) -45 (c) 2\/5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 1812442 and 6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s + 11. What is d(-10)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, 278, 692, 1298, 2120, 3182?\nAnswer: 4508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + 215\/(-25))*-60. Let k = q - 408. What is the smallest common multiple of 16 and k?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 416372771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2227*p**2 - 4*p + 3. Let c be a(1). Suppose -c = -2*s - 3*z, 3*s - 15*z - 3326 = -13*z. Does 13 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 70 - 73. List the prime factors of (12\/10)\/((-332)\/(-110) + c).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 497551 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -l + 135. Suppose -2*n - 6 = 12*z + 12, n + 10 = -5*z. Let m = n - l. Solve 3*s = -s + m for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38229 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: Expand o**2 - 3*o**2 + 4*o**2 + (-3 + 1 + 0)*(o**2 - 2*o**2 - o**2) + 57*o**2 + 68 - 68 + (-2 + 6 - 2)*(-o**2 - 3*o**2 + 3*o**2).\nAnswer: 61*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1499.\nAnswer: 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 787243 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 127868.\nAnswer: -127865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -2\/9, 0, -17, 0.5, 2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -889.799 and -38.\nAnswer: 33812.362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -191, -387, -567, -731?\nAnswer: -879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 158 - 82. Let h = -70 + 83. Calculate the remainder when o is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -3. Let v = 0 - h. Let j be (-18)\/8 - (0 - 2). Is j < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 77252 - -4179. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 1 - -2 - (-6 - -9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 0. Suppose -3*t + 3*f - 1 = 8, -5*t - 2*f + 6 = 0. Suppose 7 = -4*n + 5*u, t*n + 5*u - 17 = -n. Calculate the smallest common multiple of a and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -5, -9, 1\/3 in ascending order.\nAnswer: -9, -5, -1, 1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2355236013.\nAnswer: 3, 13, 173, 349079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.9 + -0.1. Suppose 2*y + z = 6*z, y + 15 = -5*z. What is the nearest to 1 in 5, y, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**2 + 0*b**2 + 2 + 2*b**2)*(-2 - 1 + 0)*(-1 + 1 - 2).\nAnswer: -6*b**2 + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 7*c**2 - c - 4. Let g = 1 + -8. Let r be m(g). Suppose -5*h - r = -13. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -13*h - 193. Let n be q(-15). Let s be (7 - -3)*2\/4. Let u = 5 - s. Solve u*a + n*a = 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4700 is divided by 157.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*l**3 + 4*l**3 - 2*l**3 + (-l + 3*l - 4*l)*(-l**2 - 2*l + 2*l) - 3*l**2 + 2*l**3 + 3*l**2 to the form p*l**2 + m + a*l + i*l**3 and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720)*3 + sqrt(720))\/(sqrt(4) - sqrt(96)\/sqrt(6)) + (sqrt(30) - ((sqrt(360)*2)\/sqrt(12) + sqrt(30) - sqrt(30)))\/(sqrt(294)*5).\nAnswer: -841*sqrt(5)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = -2*j - 9. Let l(f) = -6*f + 17. Let s(t) = t - 3. Let v(a) = j*s(a) - 6*l(a). Let m(y) = 6*y**2. Calculate m(v(w)).\nAnswer: 24*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3832, -7656, -11470, -15274, -19068, -22852?\nAnswer: -26626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 36645677 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/((-8)\/18*-3). Is 2 a factor of 2\/(-5 + o)*-11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1638804 times -0.05\nAnswer: -81940.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 214260 * 1.56\nAnswer: 334245.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11011 (base 2) in base 9?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-3 + (((sqrt(228)*2 - sqrt(228))*5)\/(sqrt(12) + sqrt(108)\/sqrt(441) + sqrt(12) + sqrt(12)))**2 + 0).\nAnswer: -65469\/242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 39177262 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -375195003.000958 - -375195343. Let q = 340 - j. What is q rounded to 4 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -177859*b**3 - 79982*b**3 + 2*b**2 - 2*b**2.\nAnswer: -257841*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*n + 28 = 92. Let p = -0.02 + 0.02. Put n, p, -7 in increasing order.\nAnswer: -7, p, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.2 - 1. What is the smallest value in -0.2, 4, b?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52, -61, -64, -55, -28, 23, 104?\nAnswer: 221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n = 476 + 668. Calculate the remainder when n is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 153*b**2 + 12600*b - 25201*b + 12598*b.\nAnswer: 153*b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 5:22 PM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 18. Let o = -2 + h. Is o even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-5))\/(21\/(-35))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 59\/4 of a microgram?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-26)\/8 + 5\/20. Let j = 5 + z. Suppose -5*x - 41 = -j*w, w = -x - x + 43. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -19, -11, 1, 17, 37, 61, 89?\n\"Answer: 2*u**2 + 2*u - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*r**2 + 7*r**5 - 11*r**5 + 6*r**5 wrt r?\nAnswer: 120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -9*f**5\/7 - 228*f**4\/7 + 249*f**3\/7 + 8208*f**2\/7 + 2700*f\/7 = 0.\nAnswer: -25, -6, -1\/3, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43 - 52*h - 43 - 13*h.\nAnswer: -65*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 7.235009s?\nAnswer: 7235009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 96 and 4056?\nAnswer: 16224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -2*p**4\/13 - 13544*p**3\/13 + 67986*p**2\/13 + 1464336*p\/13 + 3415608\/13 = 0.\nAnswer: -6777, -6, -3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 AM and 9:50 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 6, 1, 4, -30676, 34 in decreasing order.\nAnswer: 34, 6, 4, 1, -2, -30676","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + 13)*6\/16 - (-17)\/((-17)\/9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 99 and 539?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 5*l**3 + 152*l**2 - 36*l + 34. Let q be b(-30). What is the greatest common factor of 188 and q?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.47 + -0.23. Let m = 2.70000021 + v. What is m rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2. Suppose 0*d + 6*d = 0. Let m(r) = 5*r**2 + d*r**2 + r**2 - 4*r**2. What is m(j(q))?\nAnswer: 2*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -388 + 387.99998489. What is h rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22201 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 328402 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, v: 1, e: 4, l: 1, z: 2, g: 3}. What is prob of sequence el?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 378 and 168?\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1276174267 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -535, -420, -371, -430, -639, -1040, -1675?\n\"Answer: -7*f**3 + 9*f**2 + 137*f - 674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29793.32 milligrams to nanograms.\nAnswer: 29793320000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2*h - 5 = 0. Calculate the smallest common multiple of 5 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16809609 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 PM and 9:50 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 9, f: 11}. Give prob of sequence fmff.\nAnswer: 99\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 139396, 139398, 139400, 139402?\n\"Answer: 2*k + 139394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -1 + 0*n + 2 + n. Let v be s(3). Sort v, -1, 5.\nAnswer: -1, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2894.046 tonnes to milligrams.\nAnswer: 2894046000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14\/(-10) + 8741992\/280. Suppose -23*l + 52109 = -x. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 3*n**2 + 5*n - 1. Let q be f(5). Suppose 4*b - q = b. Suppose 3*h + 9*u - 4*u = 3, 5*h - b = u. Calculate the highest common divisor of h and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - p + 60 = 0. List the prime factors of (-2)\/8 + 939\/p.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**4 - 224*d**3 - 1268*d**2 + 18480*d.\nAnswer: 4*d*(d - 60)*(d - 7)*(d + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3*a**2 - 38*a - 65. Let k(i) = 5*i**2 - 57*i - 98. Let m(w) = -5*k(w) + 8*z(w). Let c be m(-16). Let v = -4 + 6. Solve 0 = 4*g + c - v for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 18 = 4*q. Let b be ((-4)\/q)\/(1\/(-3)). Let u(j) = 17*j**3 + 6*j + 2. Let c(h) = -11*h**3 - 5*h - 2. Let p(x) = -3*c(x) - 2*u(x). Calculate p(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2254 and 4.\nAnswer: 4508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/15*19\/7 + -1. Sort 0.4, y, 2\/23 in decreasing order.\nAnswer: 0.4, 2\/23, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10001001111001001110100 (base 2) to base 4\nAnswer: 101033021310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11062 + 110273?\nAnswer: 77211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/18 and (-3)\/((-252)\/887) + (-10)\/70.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9458962 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/8 - 317*u\/8 - 62905\/4.\nAnswer: (u - 547)*(u + 230)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**3\/7 + 46828*m**2\/7.\nAnswer: -4*m**2*(m - 11707)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Convert -4431412 (base 7) to base 3.\nAnswer: -1000201101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = d + d, 3*y - 3*d = -24. Let a be 2\/(-1 - y)*(9 - 9). Factor 10*m**5 - 2*m**4 - 8\/5*m**2 + a + 0*m - 32\/5*m**3.\nAnswer: 2*m**2*(m - 1)*(5*m + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = 5*b - 20 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -46*i - 294. What is the remainder when z(-11) is divided by 73?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -200*z. Suppose -3*s - 2 = 3*x + x, s + 2 = 0. Let m(g) = 127*g**2 + x - 126*g**2 - 1. What is b(m(v))?\nAnswer: -200*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 at most as big as 336\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14167 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3439 + 3447 - 505\/63?\nAnswer: -1\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (7 - 4)) + (-45 - -76)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 22839*(0 - 1\/964). Let h = -14\/241 + y. Calculate the common denominator of h and ((-297)\/(-2))\/(-4 - (-3 + -16)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122513 (base 6) to base 4.\nAnswer: 2223231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.31816082 rounded to two dps?\nAnswer: -3.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 AM and 10:42 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - 6*d**2 - 5*d - 6. Let f be m(-5). Let z(p) = p + 11. Calculate z(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3050 + -3049. Put 2, y, -2, -4 in increasing order.\nAnswer: -4, -2, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 29*k**2 + 3*k**2 - k**2. Let u(m) = 12*m. Let j(i) = -11*i. Let v(b) = 10*j(b) + 9*u(b). Determine y(v(x)).\nAnswer: 124*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 91231228?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of z**6\/30 - 4*z**3\/3 - 5*z**2. What is the first derivative of v(a) wrt a?\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 PM and 1:39 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (12\/80)\/(11\/(-165)). What is the closest to 0 in b, -0.1, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 4*c**2 - 101*c - 4461. Calculate k(-23).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1501310?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 228 and 16.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**4 + 342*t**3 - 360*t**2 - 1734*t - 1035.\nAnswer: 3*(t - 3)*(t + 1)**2*(t + 115)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -r**5\/4 + 345*r**4\/4 + 613*r**3 + 1057*r**2 - 348*r - 1408 = 0.\nAnswer: -4, -2, 1, 352","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 c when four letters picked without replacement from zcvlllxlxlvvlllllcv.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 289865 is divided by 1169?\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -2\/1067?\nAnswer: -2\/1067","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 AM and 7:15 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 203423065 to the power of 1\/2, to the nearest integer?\nAnswer: 14263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nkkk when four letters picked without replacement from {k: 7, n: 7}?\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*d - 27*d + 34. Let p = 42 - d. Let s(t) = 0*t - p*t - t + 10*t. Let q(a) = 2*a. What is q(s(x))?\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 480 = -f - 468, -x - 6 = f + 3*x for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - -27) + (7 - 16 - (161 + -175)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.4298691 to 0 dps.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 6 + 5)*(56*t - 50*t + 155*t).\nAnswer: -322*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -21760+0.2846154774\nAnswer: -21759.7153845226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in six fifths of a millennium?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 5647949780.49.\nAnswer: -5647949781.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 3*j + 42, 5*s = -j - j + 210. What is the remainder when 81 is divided by s?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -62 or -63?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33016 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1341?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2846*b**2 - 5*b + 5. Let x be l(-5). Let d = -639173\/9 - x. Let c = d + -101. Which is smaller: c or 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooqosossqmqoot. What is prob of picking 2 o and 1 q?\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612)*4 - (sqrt(119) + (sqrt(119) - (sqrt(119) - (sqrt(119)*-1 + sqrt(119)))))\/sqrt(7))**2 + (1*(sqrt(2448)*2)**2 - (sqrt(2448) + 2)**2*-2).\nAnswer: 96*sqrt(17) + 23689","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7\/3 in 8, -2, 1\/20?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*w = -173*w - 229*w + 11682 for w.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -15763698.2793 and 0.3.\nAnswer: -15763697.9793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*((v*v**(1\/5)\/v)\/v)\/v*v)\/v*v\/(v*v**7)*v\/(v\/(v*v\/((v**(-7\/5)\/v)\/v)))*v\/(v*v*v**(-5)*v)*(v**(2\/17)\/(v**4*v))**(-1\/77) assuming v is positive.\nAnswer: v**(4342\/6545)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 4*y**2 + 583. Let a(m) = -m. Determine a(j(g)).\nAnswer: -4*g**2 - 583","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-42)*(5 + -9).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -274070 divided by 5.\nAnswer: -54814","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/6178600 and 31\/308930?\nAnswer: 6178600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01572 to three decimal places.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 14\/126*-1 + 22\/(-126)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3153\/2 - -1579. Find the common denominator of (-5)\/(-40)*(-226)\/3 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 3*o - 30, -3*o = -2 - 13. Suppose 113 = 4*q + g*x, 0*x + 5 = -x. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -15*x**2 - 314*x + 23. Determine i(-21).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) 6 (c) 385 (d) -1 (e) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3374 is divided by 35.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*q - 36*q - 2 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31409 and 663435?\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 27*w - 33*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p - 299 = 25. Let n be (-2 + (p\/(-15) - 2))*-1. Is 0 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 5*m**2 + 7*m + 8. Let g be y(-6). Let a(i) be the first derivative of -i**2 + 1\/3*i**3 + 0*i - 2. Calculate a(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167*y = 314 - 2057 - 2599 for y.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/12*3\/(-2))\/5.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6113240, -12226595, -18339950, -24453305?\n\"Answer: -6113355*g + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -3*w**2 + 4*w**2 + 0*w**2. Let d(l) = 3*l. Calculate d(u(o)).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 265694 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 10) in base 15?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 53 times 3.91\nAnswer: 207.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 4*b + 15. Calculate the least common multiple of (-83)\/(-3*(-2)\/(-12)) + 4 and q(0).\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i + 11*i - 33 = -6*c, 4*c + i = 23 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 153173481 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + 9\/20)\/((-12)\/10). What is the second smallest value in x, -1\/6, 0.2, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2775 and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11\/45 - 1\/180. Let t be (-2 - (-9)\/6)*-4. Is r at least t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -31126*d**3*w*y**3 - 2*d**3*w*y + 171*d**3*w + d**3*y**2 - 3*d**3 + 24*d**2 - 9*d*w*y**2 - 5*w*y**3 wrt y?\nAnswer: -186756*d**3*w - 30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - 11*x**2 - 4*x + 68. Let f be t(-10). Let w(i) be the first derivative of 6*i + 9\/2*i**2 - f + i**3. Determine k so that w(k) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(5) - sqrt(15)\/sqrt(3)) + -2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**3\/s)*s**(6\/7)*s)\/(s**(-2\/7))**29)**(13\/5) assuming s is positive.\nAnswer: s**(832\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(891)*4)**2.\nAnswer: 14260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**3*v**3 - 2*f**3 - 3*f**2 + 101*f*v**4 - 3*v wrt v?\nAnswer: 6*f**3*v + 1212*f*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 371 = 12. Suppose 0 = 2*a - 1201 + f. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 9*v**2 - 3*v - 8. Let i be z(-2). Let s = 93 + i. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 70, 73, 78, 85, 94, 105?\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -1. Suppose -8*p = 21*p - 29. What are the prime factors of (h\/(-3))\/(p\/129)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 415 (b) -1\/3 (c) -0.5 (d) 0.3 (e) 0.5 (f) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 5:04 AM?\nAnswer: 11:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/50*(-15)\/(-48)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -491 + 71 = -23*t + 63 for t.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -11*b - 110. Let c be (35\/(-7))\/(-30)*-15*(-24)\/(-5). What is n(c)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 143 + -1289\/9. Let a = -203.8 - -204. What is the nearest to 1 in 2\/13, a, q?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -c**3 + 4*c**2 + 100*c - 46955 wrt c?\nAnswer: -3*c**2 + 8*c + 100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -285 - 157. Is c less than 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 3\/515263?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2*x**2\/3 - 193408*x\/3 - 15754970 = 0.\nAnswer: -96459, -245","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1087.\nAnswer: 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 6*w**2 + w - 3. Let b be t(9). What is the highest common factor of b and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-14)\/(252\/(-28278)) + 6\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i - 5. Let n be f(8). Let z(m) = -16*m + 99. Let c be z(6). Suppose 4*k + c*p + 8 = 3, -4*k + 2*p - 10 = 0. Put n, k, 4 in decreasing order.\nAnswer: 4, n, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1.79912?\nAnswer: -1.79912","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 5*n + 1, 0*n = 4*q + 5*n - 4. Let l be 3\/((-15)\/80) - (1 + q). Let i = 20 + l. Solve 2*u + 2 = 4*f - i, 5*f - 4*u = 5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9a41 (base 16) to base 4.\nAnswer: -21221001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/77, -0.4, -2961?\nAnswer: -2961","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - q - 26 = 0, -5*q - 27 + 2 = -4*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/5)\/h**(-1))\/((h**(-2\/29)\/h)\/(h\/h**(-16))) assuming h is positive.\nAnswer: h**(2736\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*x**2 + 37*x + 495?\nAnswer: -10*x + 37","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + 7*f - 2. Let n be o(-7). Let w be (-2)\/4 - 3913\/n. Is w\/8*(-2)\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 323 and 544274?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 8:35 AM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 7:24 PM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m = 19*g - 6*g - 46 + 9, 5*g - 11 = 6*g - 4*m for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = 25*f + 14*f. Let h(u) = -24*u**3 + 3*u**2 + 3*u + 1. Is h(f) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 16 = -2*j, 5*j + 0*g - 19 = 3*g. Suppose -2 - 10 = -4*p, 2*a = j*p + 5. Let t = -5 + a. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -3. Let b(k) = -3*k + 5. Let m(z) = -7*z + 11. Let l(n) = 13*b(n) - 6*m(n). Let w be l(v). Round w to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f**4 + 0*f + 6\/11*f**3 + 0 - 2\/11*f**5 - 4\/11*f**2 = 0. Calculate f.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = -2*d + 5*y + 15, d = 3*y - 26. Let o be (3 - (-99)\/d) + 12\/30. Let 4\/7*m + 0 + o*m**2 + 1\/7*m**3 = 0. Calculate m.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 310 = -11*a + a. Let c = -31 - a. Let y(n) = 2 + 7*n - 5*n**2 + c*n**2 + 2*n**2 + 4*n**2. What is y(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 0 + (-2 - 1 + 2)*(-1 - 2 + 5) + 90 + 67 - 181)*(-m - 2*m + 4*m).\nAnswer: -28*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.39 + -2.61. Sort s, 2\/9, 6 in increasing order.\nAnswer: s, 2\/9, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - 7. Suppose 0 = d*u + 4*u - 114. Solve 0 = 4*v - 7 + u for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (232\/(-28))\/((-100)\/(-350))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6.01, 16, 8399\/3 in ascending order.\nAnswer: -6.01, 16, 8399\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/2*(-8)\/(-10). Suppose n*j - 116 = -3*y, -5*y + 3*j = -149 - 19. Let z = y + -25. What is the remainder when 32 is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tv when two letters picked without replacement from tyteevpdd?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + -c7?\nAnswer: -c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 375 less than -0.314?\nAnswer: -375.314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - 10*v**2 + 10*v - 9. Let i be n(-11). Suppose l - 12 = -4*m, 5*l + 2*m - 36 = 3*l. What is the remainder when l is divided by i\/8 - (-432)\/64?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 4.779319 seconds?\nAnswer: 4779.319","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 335213415 (base 6) in base 3?\nAnswer: 102112102012202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/4)\/w*w**(-1\/2)*w)\/(w**(2\/5))**(-2\/77))\/((w**(1\/5)*w)**17\/(w**(1\/3))**(-2\/83)) assuming w is positive.\nAnswer: w**(-1621855\/76692)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12403304 (base 5) to base 6.\nAnswer: -2342201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 4. What is the tens digit of (29\/2)\/((-2)\/x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -56808 <= 113?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 69*w + 348. What is the lowest common multiple of z(-5) and 840?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/1209)\/(618\/2678).\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43948.\nAnswer: 2, 10987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = -4*z - 10, 133*l - 124*l - 45 = 2*z for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/3 + 85612*d + 770454.\nAnswer: 2*(d + 9)*(d + 128409)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**2 + 7 + 6*d + d - d**2. Let p be t(-6). Let r be (-2)\/(-2) + (6 - p). Solve -4*g + 2*a = -26, 29 = 4*g - 5*a - r for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 5876 = -5*y - 395, -2*j - 8 = 0. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5945448866?\nAnswer: 2, 7, 127, 3343897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66 - ((-6 - (-4 - 7) - 19) + 5).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - a + 3*a + 12 = 0, v = -5*a + 6. Let h be (v\/(-7))\/((-12)\/(-42)). Solve -h + 7 = -p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 - 572*r - 7599. Calculate h(-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-12) - 625\/1950.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -518, -2097, -4738, -8441, -13206?\nAnswer: -19033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -3*r**3 + 74*r**2 + r - 14. Let k(d) = 2*d**3 - 37*d**2 - d + 8. Determine -3*j(b) - 5*k(b).\nAnswer: -b**3 - 37*b**2 + 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -424*z + 965 + 1250 = -8809 for z.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, a: 15}. Give prob of sequence ap.\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40 - 0. Suppose -13*s + j = -12*s. Suppose d = 6*d - s. Calculate the greatest common factor of d and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 648 and 95?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-90)\/(-25))\/((-6)\/(-20)). Let n = -7 + d. Suppose -2*v - 2*v + 3*l = -34, -n*v + 2*l + 39 = 0. List the prime factors of v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 11 = -2. Let l be 1*(-1 - 0) + c. Suppose -2*b - 4*m + 5 - 23 = 0, -m - 4 = b. Is l < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/2*1\/(-2). Suppose -4*u = 0, 0 = -3*r - r + 5*u + 8. Solve w = r*l + l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23408 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 0.1 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0\/(j**(-6)\/j))**(38\/5)*j**3*j**(2\/3)*j*j**6\/(j*j**(1\/3)\/j) assuming j is positive.\nAnswer: j**(953\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 2*k - 1 + (-2*k + 0*k + 3*k)*(-19 - 19 + 3) to the form y*k + h and give y.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of h**2*r**3 + 36*h**2*r**2 - 260*h**2*r - 1477*r**3 + 23*r**2 + 2 wrt h.\nAnswer: 2*h*r**3 + 72*h*r**2 - 520*h*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*l - 3*l - 65 = 7 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 - 10*p + 10. Let j = -25 - -47. Let a = -33 + j. Let q be f(a). Which is bigger: q or -7\/6?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.015 - 0.015. Sort z, 0.8, -0.3.\nAnswer: -0.3, 0.8, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-62)\/(-11) - 0) + 0. Let w = -64\/11 + f. Is -1 not equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53307349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 6*n**2 + 2*n - 6. Suppose -30 = -3*j - 2*j. Calculate t(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-2\/3))**(-1\/14))**(-15))**(-6\/5) assuming b is positive.\nAnswer: b**(6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -18*n - 195, 3*q = 15*n - 16*n - 8 - 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10756555 + 20?\nAnswer: 10756575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -5*n**2 - 125*n + 95. Let r(w) = w**2 + 21*w - 16. Let o(z) = 6*a(z) + 35*r(z). Suppose o(t) = 0. Calculate t.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -405 + 378.1. Let o = 2.6 + k. Let u = o - -17.2. What is u rounded to zero dps?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145459 a multiple of 394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 98798, 395104, 888898, 1580174, 2468926, 3555148, 4838834?\nAnswer: 6319978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*t**2 + 39 + 398 + 6 in the form v*t + o + f*t**2 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2\/5, 2\/5, 3\/4, -2\/33, 169\/42, -11?\nAnswer: 169\/42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/3)\/(2\/20). Is 18 greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2623 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: Simplify (z**(-28)*z*z)**(1\/15)\/(z**(-3\/28)\/((z\/(z**(-29)*z)*z)\/z)) assuming z is positive.\nAnswer: z**(11497\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 582 is divided by 147.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -7*j - 153. Let r be c(-23). Suppose r*x - 7*x - 7680000 = -i, 4*i = 4*x - 30720000. What is x rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37306376*k**2 + 0*k**3 - 2*k + 24*k**3 + 37306373*k**2 + 2*k.\nAnswer: 24*k**3 - 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -17383.084 to the nearest integer.\nAnswer: -17383","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -3 + 0 + i + 0 + 0. Let f be n(4). What is the derivative of f + 20*u**2 - 3*u**4 - 20*u**2 wrt u?\nAnswer: -12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of -v**4\/4 + 3*v**2 + 6. Find the second derivative of d(p) wrt p.\nAnswer: -6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 7*g - 3*k + 6 = 0, 5*g + 5*k - 10 = 0. Solve -5*a + 4*b + 4 = 0, g*a + 2*b = 2*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -206252 (base 8) to base 3.\nAnswer: -10111100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-39)\/(-33) + 4\/(-22). Suppose -2*p - m = -7*s + 4*s, -s - 1 = -p. Let d = 1 - 1. Solve d + 3 = -s*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2304643.\nAnswer: 11, 19, 11027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 15*k**2 + 24*k + 34. What is the remainder when y(13) is divided by 3*((-2)\/(-3))\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - ((4 - 6) + 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of 0*p + 10*p**2 + 0*p**5 - 22\/3*p**3 + 21\/40*p**6 - 6 + 0*p**4. Find the first derivative of w(h) wrt h.\nAnswer: 189*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 85.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*d + 13*d - 3*d**3 + 3*d - 9*d + 2 + 88*d**2 to t*d**2 + n + u*d + m*d**3 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b + 12. Suppose 14 = l + 6. Let y be a(l). Let d = 86 - 50. What is the greatest common divisor of d and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5632455 - 2?\nAnswer: -5632460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ac when two letters picked without replacement from {a: 3, g: 1, c: 13}?\nAnswer: 39\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3106 is divided by 111.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of -j**5\/20 + j**4\/2 - 3*j**3\/2 + 5*j**2\/2 - 8*j. Let s be a(4). Let t(z) = 21*z**2 - z. What are the prime factors of t(s)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 - 3 = -7*n. Let t be (169\/3 + -3)*2250\/n. Round t to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 n, and 1 o when three letters picked without replacement from ododononp?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/313, 1, -0.0884, 1\/11, -0.5?\nAnswer: -0.0884","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 3\/4 (b) -14 (c) 0.6 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/109 (b) 2\/15 (c) 0.1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 581 at least as big as 7589?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -82*h**4*m - 640*h**4 - h**3*m + h**3 + 12*h**2*m - 132*h**2 + 5*h*m - 2 wrt h?\nAnswer: -1968*h*m - 15360*h - 6*m + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q - 4*q - 12 + 4. Let n(y) = y. Let g be n(-4). What is v(g)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25676 - -41963. List the prime factors of p.\nAnswer: 3, 61, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 + 11. Let p be 7 - 4 - (1 - s). Let 1\/3*l**2 - 1\/3 + p*l = 0. What is l?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -79*b**4 - b**3 - 10*b + 1.\nAnswer: -948*b**2 - 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3153050.\nAnswer: 2, 5, 19, 3319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = 0, -11*n + g - 20 = -6*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -49, -1, 18.\nAnswer: -49, -4, -1, 0, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/3 and 25\/5436.\nAnswer: 5436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 6*a + 11 + 14.\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (117648\/7525 - (-2)\/25) + (-2)\/(-7).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -135 (base 8) to base 7.\nAnswer: -162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2121 - 0?\nAnswer: 2121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 50\/19, 1 in descending order.\nAnswer: 50\/19, 1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, q: 2}. Give prob of sequence qww.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3584 divided by -896.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**2)**(-38)\/(u*u\/u**14*u**(2\/13)*u) assuming u is positive.\nAnswer: u**(-1341\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-14)*36\/54. Let s = -62.5 - -63. What is the second biggest value in -5\/3, 4, s, i?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 83 = 2*n, 0*n + 3*n = -5*w + 87. Suppose -x - w*c + 102 = -11*c, 4*c = -12. Is x < 113?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -43, -102, -201, -346, -543?\n\"Answer: -y**3 - 14*y**2 - 10*y - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*b + 6*b**3 - 8*b**3 + 3*b**3 + 3 - 3 + b**3 + 0*b - 2*b**3 + 0*b + (2*b**2 - 2*b**2 - b**2)*(-1 + 2*b + 1).\nAnswer: -2*b**3 + 11*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -c**4\/4 - 13*c**3\/4 - 3*c**2 = 0?\nAnswer: -12, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 16198907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 2243\nAnswer: 1\/2243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 19 = -3*p. Let d be (-1 - 0)\/(2\/p). Suppose -r - 4*h + 86 = r, d*h - 160 = -4*r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((k*k**(-31))\/k)\/k)\/k*k)\/k)\/(k*k\/(k*k**(-22))*k) assuming k is positive.\nAnswer: k**(-57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 557459304 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.343 + -0.343. Which is the second smallest value? (a) d (b) -0.4 (c) -1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -667*z**2 + 331*z**2 + 335*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*f - 3*f - 2*f)*(-f + 6*f + 0*f).\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (1*3\/(-3))\/((-132)\/((-12)\/1))\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*u**2 - 6396*u**2 + 342 + 346 - 688.\nAnswer: -6453*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*i**2 + 1480379*i**3 + 19*i**2 - 1480367*i**3 - 27*i**2.\nAnswer: 12*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*d + 2*d = 60. Solve 0 = -21*b + 38 + d for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4011 (base 7) to base 3.\nAnswer: 1220010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**0)**24*(u**2)**(3\/14) assuming u is positive.\nAnswer: u**(171\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**4 + 3*s**4 - 2*s**4 + (2*s**2 + 0 + 0)*(-4*s**2 - 28*s**2 + 7*s**2) + 3*s**4 + 2*s**4 - 3*s**4.\nAnswer: -49*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 61886651 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 819 + 2?\nAnswer: 81b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2 - 12*x - 3 - 3. Let u be v(-3). Is (-10)\/(u\/17 - 2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 16 = -u, -37 = -2*u + 5*v - 0*v. Let f(j) = -j**2 + 7*j + 1. What is f(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -258 - -250. Suppose -3*t - 105 = a - 4, t - 2 = 0. Is c\/28 - a\/7 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1645\/6 + 275. Let o = -0.932 + 0.032. Sort o, -2\/7, g.\nAnswer: o, -2\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 6 + h - 12 + 4 + 4 + 2*h**2. Let s be (-3 + (-1 - 0))\/(-1). Let r = -2 + s. Determine j(r).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12451050 to the power of 1\/2, to the nearest integer?\nAnswer: 3529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -3. Let s(y) = -y + 5. Let d = -2 - 3. Let v(g) = d*o(g) - 3*s(g). Let x(p) = 2*p**2. Give x(v(f)).\nAnswer: 18*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -m**4\/4 + 3*m**3\/2 - 11*m**2\/4 + 3*m\/2 = 0.\nAnswer: 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/2, -1\/2, 0.1, -96, 4, 13?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3696 and (-399 + 407)*(-98)\/(-4)?\nAnswer: 25872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7840536 and 6171?\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 317766 * -2\nAnswer: -635532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -428 + 1338 = 262*f - 400 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 404873 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 5*h - 77, 3*y - 65 = -5*h + 206. Does 29 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -p + 11. Suppose 5*o - p = -0*o. Suppose -o*d - 6 = 9. Let x(m) = m**3 + m**2 - 4*m - 1. What is x(d)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*z**2 + 260*z**3 + 630*z**2 + z + 2*z - 259*z**3.\nAnswer: z**3 + 526*z**2 + 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00284081 rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 108*g**2 + 16*g - 54. What are the prime factors of k(3)?\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3403932?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6 + 6)\/6 - 5 - -6. Let t = -0.3 - 0.7. Which is the closest to t? (a) -0.3 (b) p (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 179*g**3 - 16293*g**2 + 365*g - 81. Suppose -3*k + 3*q - 135 = k, -4*q - 40 = 2*k. What is the remainder when j(91) is divided by -4*(k\/8 - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42 + -41.69. Let q = -22892 - -22891. Are k and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uydywuu. Give prob of picking 2 u.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/3 of a hour in minutes?\nAnswer: 860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 15) in base 3?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tawswwt. What is prob of picking 1 w and 1 t?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 123 = 32*z. Suppose z*l - 2853 = -3*k, -4762 = -5*k + 3*l - l. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1012211 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of 0*w + 0*w**7 + 0*w**3 + 0*w**4 + 1\/112*w**8 + 0 - 8*w**2 + 0*w**5 - 1\/40*w**6. Factor o(l).\nAnswer: 3*l**3*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8601507 to the power of 1\/3, to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2677 * -17.5805\nAnswer: -47062.9985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 135217 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2032752009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 418?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -189*y + 6993. Let p be a(37). Suppose 3*f + 11 = -7. Put f, -3, p in ascending order.\nAnswer: f, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 4952*q - 36. Let c be v(-12). What is c rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 204 and 2924.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 0.22 (b) 0.4 (c) 2 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 292 <= 276?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 11, t: 1}. What is prob of sequence fff?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**(-1\/5)*k**(-1\/2))**(-4) assuming k is positive.\nAnswer: k**(-26\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c + 812. Let w(l) = -23*l. Calculate w(t(z)).\nAnswer: -46*z - 18676","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 7*c - 4*d - 22503, -5*d - 22505 = -5*c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 248573 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*1.146007.\nAnswer: 0.4584028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -22*j**3 - 7*j**2 + 2655*j + 102494611 wrt j.\nAnswer: -66*j**2 - 14*j + 2655","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.6 + -7. Sort 0.3, 1, k in decreasing order.\nAnswer: 1, 0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -399 + 11572\/29. Let h = 151\/174 - u. Which is the second biggest value? (a) -0.1 (b) h (c) -4 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 26 = 86*w - 89*w, 2*j = -2*w + 20. Solve 2\/9*f**5 + 0 - 8\/9*f**j + 10\/9*f**3 + 0*f - 4\/9*f**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 3*l = 186, -r - 2*l = -5*l + 54. Does 10 divide (-150)\/r*412\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7478069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, t: 3}. What is prob of picking 2 t?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of -2*b**3\/3 + 33. Let g(y) = -149*y. Determine g(m(l)).\nAnswer: 298*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = r + r - 9, -4*n = -r. Let g(a) = 3*a**3 - a**2 + 4*a + 2. Let y(c) = c**3 + c + 1. Determine r*y(m) - g(m).\nAnswer: m**3 + m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 63*m - 126. Let d(u) = 53*u - 124. What is 6*d(l) - 5*i(l)?\nAnswer: 3*l - 114","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79 divided by 79.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -9\/140?\nAnswer: -9\/140","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2222532?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6750524489 and 19618?\nAnswer: 6750504871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 513 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is c7 (base 14) in base 12?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmmmmmmdmmmmmmmmmd. Give prob of sequence mmdm.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1919463 * 0.09\nAnswer: 172751.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + j - 2*j)*(1 - 1 - 3*j)*(2*j + 2*j - 3*j)*(-104*j + 828*j + 600*j).\nAnswer: 3972*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 268.891915 plus -2346?\nAnswer: -2077.108085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 + 9*n - 11. Let c be g(8). Let y = 0 - 3. Let j = y - c. Solve j*s = s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t\/t**5)\/t)\/((t**6*t)\/t))**(-5\/19)\/(((t**(1\/3)\/t)\/(t\/(t\/t**6)))\/(t**(-6)\/(t\/(t\/(t**(-1\/6)\/t))))) assuming t is positive.\nAnswer: t**(509\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 74073?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -4*i + 5. Let t be y(5). Let z = -9 - t. Suppose 6 = -3*u - z. What is the third biggest value in 2\/13, u, -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 3*d - 7, 3 = 4*v - d + 2. Let y(m) = 3*m - m + m**2 + v - m. Let q be y(-2). Solve -q*g = 5 + 4 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 234083?\nAnswer: 234083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 325 divide 31618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4309324?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {s: 2, m: 7}?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3*o**2 + 18*o - 2. Let f(y) = -16*y**2 - 94*y + 9. Let h(n) = -2*f(n) - 11*p(n). Determine h(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9485 is divided by 1895.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -14, -8, 8 in descending order.\nAnswer: 8, 6, -8, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of t**5\/180 - t**3\/18 + t**2\/2 - 3*t. Let g(p) be the first derivative of v(p). Factor g(d).\nAnswer: (d - 1)*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6)\/5)\/((-112)\/70))\/((-252)\/(-5040)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/(-6))\/(2550\/(-765))*4\/4*-1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 25*u**2 + 16*u + 405. Determine v(-25).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2199, 2192, 2185, 2178?\n\"Answer: -7*h + 2206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 472 and 149.\nAnswer: 70328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 - 4.43.\nAnswer: -3.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a. Let k(s) = -102631*s**2. Give o(k(h)).\nAnswer: 205262*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25*a**6*d**3 - 9031*a**6 + a**2*d**2 + 2*a**2 - 4141*d**3 + 3*d**2 wrt a.\nAnswer: -3000*a**3*d**3 - 1083720*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 82 and 39781111?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2616250, -5232263, -7848274, -10464283, -13080290?\n\"Answer: x**2 - 2616016*x - 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 14*q. Let m be i(1). Let z = m - 0. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 c when three letters picked without replacement from {j: 8, c: 1, t: 4, v: 7}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21\/2 - 11. Let o = 272 - 277. What is the closest to i in o, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -363*m - 42. What is the thousands digit of h(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5769?\nAnswer: 3, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 198 by 99.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 18586, 18591, 18600, 18613, 18630, 18651?\n\"Answer: 2*x**2 - x + 18585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 AM and 10:22 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 6. Suppose -5*a = 2*b, 5*b - 2*b - i*a = 0. Suppose b = -3*j + 2 + 13. Calculate the highest common divisor of 20 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-5899)\/(-51))\/((-1)\/(-39))?\nAnswer: 13, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 59097 - 3545731\/60. Calculate the common denominator of s and 37\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (-4 + 8))\/((2\/20)\/((-13)\/26))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + 4*d**2 - 6*d. Let y be h(-5). Suppose -4*c - 4 = 0, y = -i - 3*c - 2*c. Suppose i = 4*r - 8*r + 40. Solve -l - l + r = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 40312197?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -41 - 29. Let c be (-63)\/s - (-4)\/(-10). Is 0.1 less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of w**6\/16 + 9*w**5\/80 - w**4\/8 - 3*w**3\/8 - 3*w**2\/16 + 16*w. Suppose q(z) = 0. What is z?\nAnswer: -1, -1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -82*d - 37. Let o(m) = 326*m + 143. Determine 23*j(g) + 6*o(g).\nAnswer: 70*g + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 5*z**3 + 227*z**2 - 1980*z - 96. What is o(9)?\nAnswer: 4116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 101 and 105848.\nAnswer: 105848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/12838 and 79\/1835834.\nAnswer: 1835834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5902477*f**2 - 5902477*f**2 - 5*f**3.\nAnswer: -5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -607?\nAnswer: -607","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 343837410.\nAnswer: 2, 3, 5, 7, 17, 13759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.237 - -0.137. What is the nearest to r in 1, -3, -2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5863647?\nAnswer: 3, 19, 102871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 132164 + -82136. Is y a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventy-five quarters of a year?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19 and 227051539.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 4*u - 9176 = 27208, 10 = 2*u. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12 + -11)*(3 - 1*110). Let y = v - -320. Is y a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2244 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -i**5 - 1623*i**4\/2 - 400*i**3 + 4455*i**2 - 4459*i + 2433\/2 = 0.\nAnswer: -811, -3, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0460604 minus 5?\nAnswer: -5.0460604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 101*k**2 - 3*k + 2. Let z be (-124)\/(-2) - (24\/(-6))\/(-2). Let u = -59 + z. Does 25 divide x(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b - 6 = 4*b. Solve 4*y + 3 = -b for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.653607757 * -0.5\nAnswer: 0.3268038785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + m)*(5 - 13*m**2 - 5)*(-5*m + 2*m + 2*m).\nAnswer: 13*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -45*q - 15*q - 227*q - 22*q + 2*q + 0*q + 0*q + (3*q - 5*q + 5*q)*(-2 - 1 + 2) + 2 - 2 + 2*q.\nAnswer: -308*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10a8 - cc?\nAnswer: ca9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.7 + -0.7. Let i(f) = -2*f**3 - 2*f**2 + 33*f + 38. Let t be i(-4). Which is the nearest to t? (a) 0.1 (b) y (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24528 >= 2\/73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.9? (a) -4\/7 (b) -71.4 (c) -1.3 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 - (-267 - -272 - ((-69)\/(-8) - -1)). Which is the second smallest value? (a) 3\/5 (b) 3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 59995\/6 - 10077. Let r be (-2 + 0)\/2 - 77. Let z = r - b. What is the second smallest value in 0, z, -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/(-4) - (213 + -207)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 - p. Let a(m) = 5*m + 2 - m**3 + 11*m**2 - 8*m**2 + 2*m**2. What is a(u) + 5*o(u)?\nAnswer: -u**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i. Let k(a) be the third derivative of 0*a - 6*a**2 - a**3 + 0 - 1\/60*a**5 + 1\/3*a**4. Let h be k(6). What is w(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78720 + 39359 - y**2 - 279*y + 39361.\nAnswer: -y**2 - 279*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 9411462051 and 37.32?\nAnswer: 9411462013.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/(-6) + -1 + (-259)\/(-111). Let h be (-4)\/(-20) - (d - 44\/5). Solve -4*g = -g + h for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1106180 divided by -95\nAnswer: -11644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -28 < -3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40620 is divided by 1869?\nAnswer: 1371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11636118 by 49727.\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - 7*m**2 + 3*m + 1. Calculate o(-5).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -580812.0104068.\nAnswer: -580806.0104068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/4*(6031112\/372)\/293?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -6*o - o**3 - 6*o - 10*o - 15 - 12*o**2. Let k be i(-10). Suppose -k*v + 697 + 323 = 0. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/w**5*w*(w\/(w**2*w))\/w*w**(-1\/4)*w\/(w**(-4\/7)*w)*(w**0*w)**(2\/65)\/(w**(3\/5)*w*w**2) assuming w is positive.\nAnswer: w**(-16831\/1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 98778 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2548) + 1*sqrt(4212))**2 - (2 + sqrt(208) + sqrt(208) + 3)**2*-3.\nAnswer: 240*sqrt(13) + 30079","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -305, -597, -881, -1157, -1425, -1685?\nAnswer: -1937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 125*c. Suppose s + 2 = -0*z - 3*z, -s = -1. Let b(h) = -3*h - 2. Let n(f) = -f - 1. Let p(r) = z*b(r) + 2*n(r). Give i(p(y)).\nAnswer: 125*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (20\/(-45))\/(84\/(-378)). Suppose -c = -3*o - 14, 0*c + 2*o + 7 = 3*c. What is the closest to a in c, 2\/23, -3\/4?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -3) + 7\/((-49)\/(-21)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 86 + -82. Suppose r*o - c - 10 = c, c = 5. Solve 0 = -q + y - 4, -o*q = 2*y + y + 20 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of -87*m**4\/4 + 44*m**2 - 66*m + 2. Differentiate z(g) wrt g.\nAnswer: -522*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65165 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9ead + e?\nAnswer: 9ebc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -271\/1753?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -130 - -129.5. Which is the closest to 0.1? (a) -0.03 (b) d (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 8 - 1)*(-s + 1 - 1) + 6*s - 4*s + 0*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -5*g + 13, 3 = g + 323*l - 324*l. Let z be (-2)\/7 - (-174)\/21. Find the third derivative of -z*x**g + 10*x**2 - 5*x**3 + 4*x**2 + 15*x**2 wrt x.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -23*h. Let w(j) = -20343*j + 1. Determine k(w(r)).\nAnswer: 467889*r - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, t: 1, f: 2, g: 4}. What is prob of sequence fft?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uv when two letters picked without replacement from {v: 4, c: 10, p: 2, x: 2, u: 1}.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.054, -2 in descending order.\nAnswer: -0.054, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -494*a**3*h*r**2 + 4*a**3*r**3 - a**3*r**2 + 5*a**3*r + 2*a**2*h*r**3 + 26*a*r wrt h?\nAnswer: -494*a**3*r**2 + 2*a**2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3724735 (base 10) in base 6?\nAnswer: -211500051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)*-3)\/(sqrt(22)\/sqrt(2)*-3) - (4*sqrt(108) + sqrt(432) + sqrt(432) + 0).\nAnswer: -46*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**2 - 5*m - 3. Give l(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(13\/2))**(-2\/31))**50 assuming t is positive.\nAnswer: t**(-650\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 231596 and 94?\nAnswer: 10885012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*p - 249317 = -246985 for p.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-78 - -93 - ((-3 - -2) + 7)) + -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*n**2 + 3199*n - 3199*n.\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2239*g**2 - 2239*g**2 - 682*g**3 + 679*g**3.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 4:54 AM?\nAnswer: 2:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 + 69. Let y be 1\/1 + (-39)\/l. Which is the second smallest value? (a) y (b) -2 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4877, -9744, -14611?\n\"Answer: -4867*u - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {w: 1, x: 2, z: 1, h: 2, q: 1, e: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -1092*m - 543. Let h(w) = 546*w + 264. Let r(p) = 5*h(p) + 3*n(p). Differentiate r(g) with respect to g.\nAnswer: -546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1995606 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -33*q + 7. Let u be x(-1). What is the highest common divisor of u and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29 + 29.5. Let c = -0.3 - -0.4. Sort m, c, -2 in descending order.\nAnswer: m, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 4625826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18612 by 18612.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (-75)\/27) + 44\/117\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 176 and 8030?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4004 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 66281 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ryrtrqrcrryrryrruqr. What is prob of sequence ry?\nAnswer: 11\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gd when two letters picked without replacement from qgd.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 3*d**3 - 5844*d**2 + 2828415*d + 17181522 = 0.\nAnswer: -6, 977","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9405*u**2 + 4739*u**2 - 4*u + 4*u + 4691*u**2.\nAnswer: 25*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/13? (a) 112\/13 (b) 3 (c) -5 (d) -0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18c (base 13) to base 14.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6200\/9 + -696. What is the common denominator of 87\/52 and c?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14315000.74 rounded to the nearest one million?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(495) - 1*sqrt(495))\/sqrt(11))\/(sqrt(216)\/sqrt(6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*d + 21 - 3 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -12. Suppose -7*y - 285 = -26*y. Are t and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 8 + 34 = 0. Calculate the remainder when 25 is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + -3 + 8 + 0. Let y = 9 + k. Suppose -y = -3*j - 3. What is the remainder when 9 is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 42 = 13. Suppose -11499 + 11312 = -17*w. Calculate the greatest common factor of w and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102028 + 197902 = -5*n - 5*t, -3*t = 2*n + 119973. Let b = 102155 + n. Let m = b - -1087830. What is m rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1845108711.\nAnswer: 3, 37, 59, 93913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = x - 1. Let y be (-1 - (-7)\/x)\/(-2). Sort y, 0.4, -0.1 in ascending order.\nAnswer: y, -0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 9*i**2 + 8*i - 14. Let j be (-25)\/(-3) - 18\/54. Let l be f(j). Let x(n) = n**2 + 5*n - 2. Does 31 divide x(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11 and 15?\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1011535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 3*o - 12 - 0, 0 = 5*y. Let i(p) = p**2 - p + 1. Let l be i(2). Factor -2*h + 0*h**o + 0*h**3 + 1 - h**4 + 2*h**l.\nAnswer: -(h - 1)**3*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/15 + -4\/5. Let q = -64 + 59. What is the nearest to -2 in z, 4\/7, q?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 15, 19.\nAnswer: -3, 15, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 66 and 2684?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -35006096*w**2*z**2 + 2*w**2*z - w**2 - 5*w + z**2 + 2657*z - 15 wrt z?\nAnswer: -70012192*w**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-40))\/k**(9\/2) assuming k is positive.\nAnswer: k**(-87\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 6 = 2*w - 5*w, 3*v = 5*w - 29 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 307*g**2 + 5*g - 5. Let o(h) = -64930*h**2 - 1057*h + 1057. Determine -1057*a(j) - 5*o(j).\nAnswer: 151*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-7)\/(-14))\/(1\/232). Let u = f - 124. Is u at most 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.038964 litres?\nAnswer: 38.964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8491358300 to the power of 1\/3, to the nearest integer?\nAnswer: 2040","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/65 + 23\/195. Let a = 0.32 + -0.2. Let r = a + 0.08. Sort t, r, -3.\nAnswer: -3, t, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 2*l - 750, 2*j - 5*l = -3*l + 742. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = g - v, -3*g - 3*v + 24 - 21 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -7*y**2 + 9*y + 13. Let k(o) = 3*o**2 - 4*o - 6. What is 5*k(p) + 2*l(p)?\nAnswer: p**2 - 2*p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -226217.\nAnswer: -3\/226217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 4 + 2 + 3*u**2 - u - 4*u**2 + 1. Let j be w(-3). Sort -1, j, 9 in ascending order.\nAnswer: -1, j, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3046211269 to the nearest integer?\nAnswer: 55192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 26, 32?\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -14455 (base 7) to base 4\nAnswer: -332221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g**3 - 2*g + 2*g**2 - 4*g**3 - 3*g**3 + 3*g to m*g + l*g**2 + n + b*g**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/19164 and -10\/1068393.\nAnswer: 4273572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 31.02762 to one dp.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 478*p - 56. Let i(g) = 477*g - 47. Calculate -6*i(q) + 5*z(q).\nAnswer: -472*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.32 + 0.92. Let n = h + -0.63. Let k = n - 0.07. What is k rounded to 0 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -5*k**2 - 17*k - 290. Let p(a) = -7*a**2 - 27*a - 436. Determine 8*m(d) - 5*p(d).\nAnswer: -5*d**2 - d - 140","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.40874 less than 0?\nAnswer: -0.40874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4791*w - 3994*w - 11*w + 757*w to i + d*w and give d.\nAnswer: -8039","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 78217 less than 298037.9?\nAnswer: 219820.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-47)\/36 - 1104\/2484)*10\/(-595).\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b3 - 6?\nAnswer: ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 9*o - 35. Let h be x(4). Let k be (-2)\/7 + h\/(-1)*0. Which is the biggest value? (a) 3 (b) k (c) -0.6 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1330003650 - 3?\nAnswer: -1330003653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-4095)\/72)\/7 - -8\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -14 + (1 - (-7 + (22 - 14)))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4358*i - 39812 = -243 + 4011 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -433 - -448. Suppose -19*i = -22*i + k. Calculate the greatest common factor of 125 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 2, -11, -5 in decreasing order.\nAnswer: 3, 2, -2, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cqchhhxqhc. What is prob of sequence hhcx?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d**2 + 2*d**2 - 6*d**2 + (-1 + 0 + 2)*(0*d**2 - 4*d**2 + d**2) - 2*d**2 - 4 + 4 + (-5*d - 19*d + 0*d)*(4 - 4 - 4*d).\nAnswer: 90*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*m + 69*m + 347 = -1093 for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i. Let z be k(1). Let b(q) = -q**2 - q + 2. Let w(p) = 4*p**2 + 5*p - 8. Let v(m) = z*w(m) - 9*b(m). Let v(t) = 0. Calculate t.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 345 - -50876?\nAnswer: 50bbb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -783 times 13?\nAnswer: -10179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/4)\/(2\/4). Sort 0, 4, i in increasing order.\nAnswer: 0, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 363 - 34. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -0*c - 5*c + 60, -3*c = -4*h - 59. Suppose -5*t + i = -3*t - 12, 3*t = 4*i + c. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 (base 16) in base 4?\nAnswer: 10203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1098593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2784 by -174.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -240*w - 2086 = 659*w + 19490 for w.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 117.6398 nanometers?\nAnswer: 0.0001176398","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, i: 4, t: 1, u: 5, a: 4}. Give prob of picking 1 q and 1 a.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -24 (b) 4 (c) -0.4 (d) -2 (e) 7 (f) -1.85\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 20\/8 + (-6)\/(-4). Suppose -4*h + 28 = 5*m - 2*m, -n*h - 20 = -m. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-234)\/(-210) + -1)\/((-2)\/(-5)). Factor 0 - w*v - 1\/7*v**2.\nAnswer: -v*(v + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, v: 2, d: 3, a: 1}. What is prob of sequence dv?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 121, 247, 371, 493, 613, 731?\nAnswer: 847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r**2 + 9315*r. Let w(o) = 2*o + 49. What is w(d(q))?\nAnswer: -4*q**2 + 18630*q + 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -241 or -246?\nAnswer: -241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 469186, 469184, 469172, 469144, 469094, 469016, 468904, 468752?\n\"Answer: -y**3 + y**2 + 2*y + 469184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2 + 1053*g + 14196.\nAnswer: -3*(g - 364)*(g + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of -d + 2*d**3 + 0 - 2*d**2 + 7\/12*d**4. Let f(s) = 0. What is s?\nAnswer: -2, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/4 - (30\/(-100))\/((-12)\/50). Solve 1449*o - 1438*o + 11 = q for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8555903 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 37462245 divided by -6\nAnswer: -12487415\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 70948, 70178, 68890, 67084, 64760, 61918?\n\"Answer: -259*f**2 + 7*f + 71200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -482, -950, -1418?\n\"Answer: -468*t - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10.8, 1, -1531, -23, -0.2 in ascending order.\nAnswer: -1531, -23, -10.8, -0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) 596 (c) -4 (d) 1\/20 (e) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a microgram in nanograms?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h**3 + 13*h**2 - 32. Let g be f(6). Solve 0 = -c - c + n - 8, -g*c - 5*n + 12 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/28 of a week in seconds?\nAnswer: 64800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 1832582?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -206.4 times -0.17?\nAnswer: 35.088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 136222583?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -226 (b) 2\/439 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**2 + 117*o + 5923 - 117*o.\nAnswer: -o**2 + 5923","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 1 + 1 - (12 + -16).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 147 - 150. Let i be 0 - -3 - 3\/1. Which is the nearest to i? (a) u (b) 1 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18600000 to the nearest one million.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -11*t. Let z(f) = 2*f**2 + f + 1. Let a(h) = 2*h**2 + 2*h + 2. Let y(k) = 3*a(k) - 6*z(k). Determine s(y(g)).\nAnswer: 66*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 4*k + 93676, 4*j + k + k = 187372. Let z = -3981524\/85 + j. Let u = 16\/17 - z. Is -1 bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/150 and 137\/70.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9758483 + -0.9?\nAnswer: 9758482.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10397*w + 25048*w - 12443*w + (-4*w + 5*w - 2*w)*(1 + 0 + 2) - w + 3 - 3 to o*w + i and give o.\nAnswer: 2204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-1))**(-28))**(-26)*g**(-4\/5)*(g*g\/g**2)\/g*(g**0)**50 assuming g is positive.\nAnswer: g**(-9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) -4 (c) 6 (d) 2.2 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3\/1*(-1720)\/2322\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/22 and 13\/13818452?\nAnswer: 152002972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -3*w**2 - 24*w + 2453. Let u(y) = -4*y + 6. Determine 6*u(o) - z(o).\nAnswer: 3*o**2 - 2417","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 4*n**2 + n - 53. Let x(h) = h**2 + h - 1. Determine -s(a) + 2*x(a).\nAnswer: -2*a**2 + a + 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 333 a factor of 49596021?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(-1 + 0 + 3). Suppose 5*b = -3*y + 55, b = l*y - 5*y + 23. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oe when two letters picked without replacement from qqqeeoqqqqoq?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000089 to five decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 96 and 120.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, d: 7, r: 1, x: 1, i: 6}. What is prob of sequence urui?\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 30*i**3 + 272*i**2 + 264*i + 64.\nAnswer: 2*(i + 8)*(3*i + 2)*(5*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 7:16 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7665696 centuries in decades?\nAnswer: 7.665696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*j**3 - 20*j**3 + 45*j**3 - 24*j**3.\nAnswer: -12*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5029 + -4391. What is the highest common factor of c and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/4 (b) -0.02 (c) 0.2 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5454 = -717*n + 1020*n for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -414207, -1656832, -3727875, -6627336, -10355215, -14911512?\n\"Answer: -414209*z**2 + 2*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3110506?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 5*v**2 + 13*v + 14. Let k be l(7). Let a(g) be the third derivative of g**4\/24 - 5*g**3\/3 - 22*g**2. Determine a(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 10:52 PM?\nAnswer: 3:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -117, -268, -471, -720, -1009, -1332?\nAnswer: -1683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -173318 (base 10) in base 16?\nAnswer: -2a506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 2)*(-13*b**3 - 26*b + 26*b) + 4*b**3 - 5*b**3 - 2*b**3.\nAnswer: 10*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 253 and 319.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1390345580\/987 - 1408658. Let f = -1\/141 - t. Let n = 6 - 11. Which is the closest to -2\/7? (a) 7 (b) n (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 - 68*v + 17. Let w be g(-25). Suppose -3274 - w = -13*q. What is the hundreds digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o. Let v(a) be the third derivative of 2*a**5\/15 - 8*a**2. Calculate v(r(q)).\nAnswer: 32*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - 1 + 1)*(-7 + 4 + 11)*(1 - 2 - 1) + (0*x + 4*x - x + (0 + 1 + 1)*(3*x - 2*x + x) - 29 + 29 - 29*x)*(3 + 0 - 5).\nAnswer: 60*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 45, -2, 7, -5, 2 in increasing order.\nAnswer: -5, -2, 2, 7, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -11. Suppose 3*h - 7*h = r. Let i be -2*h\/(-3)*-3. Solve i*y - 2 = 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 1, -5, -13?\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from jjjjjjkjkjjj?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 74647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 394, 396, 400, 406, 414?\n\"Answer: l**2 - l + 394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (28 + -10)*(-2)\/(-3). Solve 0 = 3*s - 3*u + u + 2, -u - v = 5*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**2 - 24754978*v - 153202233945121 = 0. What is v?\nAnswer: -12377489","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 - 7*t + 18. Let w(b) = -11*b - 40. Let q be w(-4). Suppose q*c = -14 - 22. Let z be v(c). What is the greatest common factor of 18 and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b**2 - 2225*b + 2230 = 0. Calculate b.\nAnswer: -446, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -77 - -100. Solve -u*v + 22*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8474959.29737 - -8474997. Let o = 37.7 - u. What is o rounded to 4 decimal places?\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 2*i + 134 = 138, -4*i - 32 = -4*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/6*42\/350\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 40\/11, -3.9, -51, -4, 4 in decreasing order.\nAnswer: 4, 40\/11, -3.9, -4, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61463*v + 3*q - 13 = -61465*v, 3*v = 3*q - 18 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 30*y**2 - 22*y**3 + 3*y**4 - 18*y + 4 + 6*y**4 - 3*y**4.\nAnswer: 2*(y - 1)**3*(3*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + 427076?\nAnswer: 427072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(100))\/sqrt(4) - (sqrt(1600)*-1 + sqrt(25)))\/((-5*sqrt(90)\/sqrt(2) + sqrt(45))*2).\nAnswer: -3*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -6*s. Which is smaller: s or 1\/15?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -8*j**3\/13 - 5006*j**2\/13 + 313162*j\/13 + 237684\/13 = 0?\nAnswer: -683, -3\/4, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = c + 411, 10*c = 2*v + 4*c - 290. Calculate the remainder when 395 is divided by v.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 14*j**2 + 5*j. Let y(u) = 25*u**2 + 9*u. Let x(a) = -9*s(a) + 5*y(a). Let w(p) be the third derivative of -p**5\/30 + p**2. Determine w(x(t)).\nAnswer: -2*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 1 + 10 = b, b - 26 = 5*f. Let m be (19\/4 + 3\/(-4))*b. Suppose -d + 4 = 0, m*d - 67 = -4*x + x. What is x rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -6. Let r be 3 + (-2)\/2 + k. Suppose -5*c - 3*n + 42 = r, 4*c - 20 = 2*n - 4. Solve w + c = 2 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.105935 rounded to three dps?\nAnswer: 1.106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 118545 + -118549.00005. Let v = 4 + l. What is v rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) + 3 + sqrt(272)*-5 + ((sqrt(272) + 0 - sqrt(272)) + sqrt(272))*3)**2 - (-3*(0 + 6*(sqrt(272) - (sqrt(272) + -1 - sqrt(272)))))**2.\nAnswer: -88171 - 2616*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 2. Suppose -r - 3 = 0, -2*y + f*r + 8 = -0*y. Let m = y + 14. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 - 20. Let k(u) = -u**2 - 2*u + 7. Let q be k(g). What is the units digit of 2\/(-7) - 176\/q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a factor of 172133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -52, 94 in decreasing order.\nAnswer: 94, -5, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43074 - 18855. Is 130 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o + 575*o + 69*o.\nAnswer: 643*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*(5 + 11*o**4 - 5 + 2*o**2).\nAnswer: -22*o**4 - 4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 2. Let n be (2 - 0) + 0\/l. Let r be -1 + 1 - 1\/2. Is n at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - (-44 + 34 - -36).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - q - 130 = 140, -3*z + 270 = 5*q. Let p = -88 + z. Solve -k - 4*a + 0*a + 4 = 0, p*k = 2*a - 2 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of -s**6\/12 + 7*s**4\/2 + 809*s**3\/6 - 2993*s**2. Differentiate i(v) wrt v.\nAnswer: -30*v**2 + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*q - 126. Suppose -3*l - q = -3*r, -4*l + 46 = 2*r - 5*l. Which is smaller: 21 or r?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*v**2\/7 - 39576*v\/7 + 41970752\/7 = 0. Calculate v.\nAnswer: 1208, 8686","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 34 - 3 - (3 - 1). Let m = 33 - j. Suppose 4*k - k - 28 = -i, -i = -m*k - 49. Is i a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 8 = -8 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124 = 2*l - 3*l. Let y = 283 + l. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 827406148?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 8 = 4*q. Suppose 0 = 3*c + 3*h, 4*c = q*c - 4*h - 4. Solve -2*u + c = -0*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 50557 * 226.\nAnswer: 11425882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-8)\/t**(-4) assuming t is positive.\nAnswer: t**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -7*l**2 - 2925*l + 1728. Determine f(-418).\nAnswer: 1310","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*n = 130*n + 1101*n - 11760 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -2*x + 7*x + 15, 15 = 3*x. Let j be ((-6)\/4)\/((-2)\/a). Let u be ((-8)\/j)\/((-5)\/15). Solve -i + u - 2 = 0, 5*o + 3*i = 26 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 408276 is divided by 1453?\nAnswer: 1436","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - 3*u + 4*u)*(-2*u + 0*u - 3*u) - u**2 - u + u.\nAnswer: -11*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3563*f**2 + 3*f**3 - 594 + 593 - 2*f**3.\nAnswer: f**3 + 3563*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -4*h + 1826, -b + 16*h + 1802 = 14*h. Suppose -5*y + 2*m + b = 0, -y - y + 743 = 3*m. Calculate the greatest common factor of y and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47256?\nAnswer: 2, 3, 11, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 - (108 + 0)\/(-4). Suppose -4*l + d = 3*o, 5*l + 2*o = 42 - 5. Suppose 2*z - 92 = -2*j, -l*j + 4*j - 230 = -5*z. Does 9 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.05 and -27.9.\nAnswer: -27.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13474509 = 3*w - 3*i, w = -3*i + 1384455 + 3107036. Round w to the nearest one hundred thousand.\nAnswer: 4500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0434*1496\nAnswer: 64.9264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 3 = -5*j, 2*j = 44 - 46 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1699770820546668 - 3.\nAnswer: -1699770820546671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 8 = -5*d. Suppose -14 = d*v - 50. Suppose 4*w + 12 = v. Solve -2*s + 6 = w, y + 2*s = 5*y + 10 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -291 = -4*o + 3*r, 81 = o + r + r. Suppose 9*c = c + 800. What is the greatest common divisor of c and o?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -7. Let x = 66 + -60.5. Let o = 5.1 - x. Put g, 1, o in descending order.\nAnswer: 1, o, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of l**4\/12 - l**3\/6 + 3*l**2. Determine q(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 821 + -817.11. Let q = z + 0.11. Which is the second biggest value? (a) 0.2 (b) q (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -14*j - 83 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = 5*h + 171 - 258, -3*b + 2*h = 21 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -215\/9 - -24. Let j = -0.6697 - -0.5697. Let y be ((-1)\/(-4))\/(21\/12). Which is the closest to j? (a) 1 (b) f (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from kjjkkkkj?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 26388073 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 868\/80 - 6\/(-15) and (1*4\/12)\/((-6)\/121).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13984 and 2622.\nAnswer: 41952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 56\/6*(-183)\/122. Let t(c) = -15*c + 2*c**3 - 15*c**2 - 3*c**3 - 1 + 5. What is the remainder when 50 is divided by t(u)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 70 = 5*b, 5*b + 6 = 3*x + 4. Let t(i) = i - 4. Let m be t(x). Let a(z) = -8*z - m - 3*z + 2. Let h(c) = -7*c - 2. Determine -5*a(o) + 8*h(o).\nAnswer: -o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3688 + 3688 + 327*b**2 + 45*b wrt b?\nAnswer: 654","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, x: 7}. Give prob of picking 1 o and 3 x.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (2 - (-24)\/(-9))*-6 and 13.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2437852?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 200*n - 1978. Let w be r(-27). Which is smaller: -7377 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/27 (b) -9.6 (c) 0.101 (d) 3 (e) 4 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2052*p - 1788 = -x - 2050*p, 3 = -p. What is the remainder when x is divided by 37?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**2 + 104*r + 100.\nAnswer: 4*(r + 1)*(r + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-6 - (-6 - -1 - -15))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5308869*c - 2550541.\nAnswer: -5308869","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -32*l**3 + 22*l**2 + 16*l**3 - 24*l**2 + 14*l**3 + 4 as r*l**3 + i + k*l + g*l**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4656791 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 3:24 PM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -21.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -5. Suppose -p*b - 16726 = 124274. Round b to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ojo when three letters picked without replacement from oorjrjooor.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2381*d**3 + 4*d**2 - 202*d + 3 wrt d?\nAnswer: 14286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.66625l to millilitres.\nAnswer: 1666.25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 4)*(1 - 2*g - 1) - g + 4 - 4 + 2*g + 2 - 2 + 1 - 1 - 2*g - g + 2*g + g + (-4 + 1 + 2)*(2*g - 5*g + 4*g) + 119*g - 41*g + 336*g.\nAnswer: 408*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - w = 120, 2*s - 5*w = 3*s + 30. Let h be (-36)\/s*450\/27. Solve -11*x = -15*x - h for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22391749 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.90244 less than -0.5?\nAnswer: 0.40244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1709798 to the power of 1\/3, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16366.\nAnswer: 2, 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25\/11 + -1007\/22. Calculate the common denominator of (-56)\/(22 - 15) - 1475\/(-90) and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 5*x - 45, 5*c + 14*x - 41 = 10*x. Suppose -5*s = 5*a - 5450 - 580, -c*s - 3*a = -6020. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 362, -2\/9, -2010, 4.\nAnswer: -2010, -2\/9, 4, 362","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-550)\/506 - 6\/(-69). Sort 7, -0.3, o, 0.2.\nAnswer: o, -0.3, 0.2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 + 1 - (396 - 179 - 171)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 7*w**2 - 9*w + 10. Let y be 4\/(-6) + 26\/3. Let h be q(y). Suppose -3*s - 2*b = -s - 14, 5*b - 32 = -4*s. Solve -h*g = -7 + s for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30600437 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + 6*r**2 + 2*r - 9. Let n be c(6). Let f be n + -3 + 2 + -2 + 2. Calculate the remainder when 3 is divided by (12\/(-36))\/(f\/(-18)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -4, -1, 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i - 5. Let y(t) = -t + 11. Let j be y(11). Suppose -k - k + 12 = j. Calculate m(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124*s + 125*s = 3*f + 16, 0 = 4*f. Solve s = -9*i + 7*i for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -5 - 70. Suppose 10*h + d = 13*h. Let u(f) = f**2 + 7*f - 16. List the prime factors of u(h).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u = -2*u - 5*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -137\nAnswer: 1\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 10*x**3 - 25*x**2 + 25*x - 2. Let u(v) = 3*v**3 - 8*v**2 + 8*v - 1. Suppose -3*k + 10 = 2*k. Let r(o) = k*d(o) - 7*u(o). What is r(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*r + 21*r + 21*r.\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in six fifths of a milligram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4211 (base 7) to base 10.\nAnswer: -1478","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -98.6 - -100.5. Sort p, -4, -7 in descending order.\nAnswer: p, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 445 at most 32492?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l + 25 = -5*h, 25 = 771*h - 776*h for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 922*i**3 - 5*i**2 + 906*i - 900. What is r(1)?\nAnswer: 923","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6235146859 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -145510*q + 104538?\nAnswer: -145510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1226444803?\nAnswer: 1226444803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2230 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/15258916 and 59\/234?\nAnswer: 1785293172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-63)\/(-12) + 2\/(-8). Suppose -z*g + 255 = 10. Let h = 16 + g. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1060*o**3 - o**2 + 3*o + 13426 wrt o.\nAnswer: -3180*o**2 - 2*o + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.07 - -1.43. Let r = 5.5 - b. Let o = r - 3.9. What is the nearest to o in -5, 0.1, 1\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 363*c**3\/2 - 858*c**2 - 777*c\/2 + 4107 = 0?\nAnswer: -2, 37\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, 2, 46 in decreasing order.\nAnswer: 46, 5, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*(-65)\/15*(0 - -13). Let v = i - -166. Let x(l) = -1 + 1 - 3 - l**3 - 5*l - 5*l**2. What is x(v)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 - 15*u + 3. Let s be a(-15). What is the second derivative of s*l**2 - 3*l**2 + 0*l**2 - 2*l - l**3 wrt l?\nAnswer: -6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g + 4. Let m be w(3). Let j(o) = o + 1. Let i be j(m). Solve 2*b + i*b = -8 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 1:11 PM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5502467.30263 + -5502493. Let f = w - 4.30119. Let u = f + 30. Round u to four decimal places.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/2 of a millimeter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 0.136.\nAnswer: -0.0408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 1 = -x, 4*x - 4*k - 5 = -k. Suppose 34*f - 27 = 25*f. Let i(l) = l**x + 4 - f - 5*l + 1 - 2*l**2. Calculate i(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = u - 43, -2*n + 48*u + 82 = 51*u. What is the remainder when n is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 7. Let w(h) = -h**2 - 3*h. Let z be w(j). Let y be 4\/z + 266\/63. Is 4 at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11.79 - 11.9595. What is o rounded to three decimal places?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 5:12 AM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -469982.1 - -469982. Let r be (4\/7)\/(-1 + -1). Which is the closest to u? (a) 1\/6 (b) -1\/4 (c) r (d) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*j**3*w**4 - j**3*w**2 + 9*j**3*w + 439*j**2*w**5 + 4*j**2*w + 195*w**2 wrt w.\nAnswer: 288*j**3*w + 26340*j**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 AM and 5:43 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = -p - 4*q, -9*q + 3*q - 33 = q - 4*q for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 - 60*v**2 + 1 + 30*v**2 + 3 + 29*v**2 - 19.\nAnswer: -v**2 - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-10))\/(365538303\/4199130 + -87 - (-2)\/(-37))?\nAnswer: 97\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j**4 + 3*j**4 - 6*j**4 + 4*j**4 - 2*j**4 + 3*j**4 + (0*j**2 + 2*j**2 - 3*j**2)*(-3*j**2 + j**2 + j**2) - 44*j**3 + 44*j**3 + 4*j**4.\nAnswer: 4*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -14. What is the remainder when 12 + 1 + (-6 - -1) is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = -7*d + 336. Suppose -12 = 3*r - d. Suppose -r*g + 444 = 4*h, -5*g = 3*h - g - 330. What are the prime factors of h?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -2\/7, -0.56, 24, -0.4, -2\/11, -0.9, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 69918 = -13128. Let y be i\/9 - 6\/9. Let b = 1680 - y. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*(2 + 20 - 4)*(-2*m - 2*m**2 + 2*m)*(2*m + m - 4*m)*(-7 + 8 + 8)*(5*m + 4*m + 2*m).\nAnswer: 3564*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -6*k + 154. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12003 + -120222?\nAnswer: -103214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9504 + -5627. List the prime factors of q.\nAnswer: 3877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5, 17, 29, 41, 53, 65?\n\"Answer: 12*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 - -18. Let n(c) = 2*c - 4. Let z be n(3). Suppose 4*f = -3*j + 48, 5*j + z = -w*f + 82. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 118.518 + 15.592. Let u = -3.11 + z. Let f = u - 131. Which is the biggest value? (a) 0.3 (b) -9 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/(-12)*876\/(-2988) and 3\/4.\nAnswer: 996","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -214 - -75. Let x = 139.0000204 + g. Round x to 6 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2386592404 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 32 = 3. Let b be 4 - s\/(14\/6). List the prime factors of (-1)\/b - (-45 - -1).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*t - 88 = 66*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1379 times -49\nAnswer: -67571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15049 - 60197\/4. Which is the closest to -0.04? (a) -17 (b) 2 (c) o (d) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1533650712 and 264.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37 - 9. Calculate the highest common factor of 42 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 6*n**2 + 2. Let q be a(6). Suppose y = -y - 10, 3*s = q*y + 16. Solve 0 = s*k - 6*k - 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41 + 41. What is the second smallest value in h, 1\/5, -22?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1064 + 9795. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24953 - -24954. Which is smaller: w or 9432?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 3 - s**2 + 1)*(2*s**2 - 1 + 1)*(67*s - 47*s + 123*s)*(3 - 2 + 0)*(-1 + 1 - 1).\nAnswer: 286*s**5 + 2002*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -58621, -58664, -58705, -58744?\n\"Answer: r**2 - 46*r - 58576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-76)\/((-5624)\/(-555))*(-4*1)\/(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine quarters of a century in months?\nAnswer: 8700","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u + 2*u + 2 - 3*u + 1 - 1 + u + (-1 + 0 + 0)*(-6*u + 3*u + u) + 2*u + 4*u - 5*u - 2*u - u + 4*u - 5*u + 21*u + 66*u.\nAnswer: 89*u + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 248 + -18598\/75. Let p = 52\/75 - h. Let r = -27 + 25. Which is the biggest value? (a) -0.5 (b) r (c) p (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -729731 < -729731?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 87120 a multiple of 198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-126)\/(-56))\/3*16\/(-78).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/4584 and 133\/10314?\nAnswer: 41256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 o when four letters picked without replacement from gxgnxggxgxgonnxmnmyg.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2418 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 174284\/72 + (-1)\/3*0. Let o = -2424 + k. What is the common denominator of 47\/14 and o?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -17 (b) -64 (c) 5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q**3 - 13*q + 4*q**3 - 5*q**2 + 15*q + 18*q**2 + 7*q**4 + q**3 to the form r + y*q**2 + k*q + t*q**4 + c*q**3 and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -24, -25, -26, -27, -28, -29?\n\"Answer: -a - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 149 - 137. Let l = -425 + 641. What is the greatest common divisor of a and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -8. Let x be 4\/(-7) + 546\/98. Suppose q + 13 = h*n - q, -x*q = -n + 26. Put 4, n, 2 in descending order.\nAnswer: 4, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 19\/4 of a millimeter?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1083320 is divided by 442.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -29306 - 0.3?\nAnswer: -29306.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 619 or 607?\nAnswer: 619","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 - -18. Suppose x*l = 8*l. Suppose l = 5*b - 8*b + 156. List the prime factors of b.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 6 - ((11 - 5) + -24 - -12)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 times 21674257?\nAnswer: -1733940.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.95 - 6. Let r = q - -0.45. Let i = -16786 - -16786.3. Which is the smallest value? (a) r (b) i (c) 5\/2 (d) 0.26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000150911208 rounded to six dps?\nAnswer: 0.000151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(7 + -10 + 1). Factor -8\/5*d + 2\/5*d**4 - 6\/5*d**2 + 8\/5 + 4\/5*d**l.\nAnswer: 2*(d - 1)**2*(d + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 AM and 8:34 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 0. Suppose n*h - 10*h = -20. Factor 2*f**2 + 7*f**4 - 4*f**2 + 0*f**4 - f**h - 4*f**3.\nAnswer: 2*f**2*(f - 1)*(3*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 * 0.01\nAnswer: -0.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.4 - 1.4. Let y(p) = -p + 2. Let j be y(5). Let q be ((-6)\/(-10))\/(3\/(-2)). Which is the nearest to s? (a) j (b) -0.1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32081?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**2 - 3240*o + 9756.\nAnswer: -4*(o - 3)*(o + 813)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/14 and -39\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*g - 42*g - 4*g**2 - 180 + 80*g + 183.\nAnswer: -4*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-98)\/(-49))\/(2 + -3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 2 + -2 - 3 - -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 99 = 177. List the prime factors of f.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111101000001100 + 10000?\nAnswer: 111101000011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + 6*q**2 + 16*q + 79. What is the remainder when 83 is divided by i(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3936098, 3936095, 3936092?\nAnswer: 3936089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5717, 5736, 5755?\nAnswer: 5774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 247582214?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (10 - 1) - -23?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -43056, -34817, -26578, -18339, -10100?\n\"Answer: 8239*m - 51295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*(o*o**1*o*o)\/o)**(-7)*(o**0)**(-2\/19))\/((o**1)**(41\/3))**(-15) assuming o is positive.\nAnswer: o**177","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.011 in 2\/7, -4, 23770?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 112 and 160?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - 3*u**2 - u. Let t be (-36)\/(-6)*(-2)\/(-4). What is c(t)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of r**2 + 14*r - 4. Let p(g) = -g - 7. Let u(q) = 13*p(q) + 6*v(q). Give u(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 8*h**2 + 1413*h - 9233. What is j(-183)?\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*u**2*w**2 + 29*u**2*w + 2*u**2 - u*w + 1002958*w**2 - 11116*w wrt w?\nAnswer: 42*u**2 + 2005916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)\/(5*sqrt(4)*1))\/(-1*sqrt(8)*3).\nAnswer: -sqrt(17)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 b when four letters picked without replacement from kbkbknkbkkkbkn?\nAnswer: 32\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1.9, 2, -15, 2\/3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.06, 1\/6, 5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 85 (b) 4 (c) 98\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2160.13 - 0.3.\nAnswer: -2160.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.6, 6, 2\/9 in descending order.\nAnswer: 6, 1, 2\/9, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 24277 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 7*j**2 - 10*j - 13. Let l(k) = -2*k**2 - k + 1. Let g(n) = -h(n) - 4*l(n). What is g(-14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/(-54))\/((-10)\/(-24)*2)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 4:26 AM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 0, f - 4 = -f - 3*o. Suppose 0 = f*b + h - 229, 0*b + b = -5*h + 137. Calculate the greatest common divisor of b and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5035*u**3 - 5146*u**2 + 2515*u**3 + 5146*u**2 + 2516*u**3.\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11447 is divided by 409.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 469*q + 57*q**2 + 293*q - 112*q**2 + 57*q**2.\nAnswer: 2*q*(q + 381)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 - (-17 - -4 - (-2 + -4))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s + 22. Let d = 854 - 851. Calculate y(d).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -429*r + 835*r - 412*r.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -225 + 248. Find the third derivative of 4*o**4 - 3*o**2 - x*o**3 + 6*o + 20*o**3 + 10*o**3 wrt o.\nAnswer: 96*o + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -4*t + 40. Which is the closest to -2? (a) -0.5 (b) t (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22.3 + 27067666600.\nAnswer: 27067666622.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -768 by 2.\nAnswer: -384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cvlllqtcltvvqqct. Give prob of picking 1 l, 2 c, and 1 q.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gxxiooikioxjiix. Give prob of picking 1 i, 1 x, and 1 j.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.92 - -0.72. Which is the second smallest value? (a) m (b) -1\/3 (c) 5 (d) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 452023924?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 904?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 393, 615, 827, 1023, 1197?\nAnswer: 1343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10898*m = 1292*m - 499790 for m.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 120201020 (base 3) in base 5?\nAnswer: 331304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -29353, -58706, -88061, -117418, -146777, -176138, -205501?\n\"Answer: -h**2 - 29350*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -122211312 (base 4) to base 8\nAnswer: -324566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 82 = 3*b - 47, 0 = 3*b - 2*j - 138. Let v be 2\/6 + 176\/b. Suppose g - 3*g - v = -4*y, -3*g - 50 = 5*y. Is -10 greater than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**5 + 26331*s**4 + 131639*s**3 + 236941*s**2 + 184284*s + 52652.\nAnswer: (s + 1)**3*(s + 2)*(s + 26326)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000550743 rounded to seven dps?\nAnswer: 0.0000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 8, z: 3}. What is prob of sequence zn?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 4765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -5. Let j be (1*-2 - -2) + 0. Solve j = i*s - 2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2501622462?\nAnswer: 2, 3, 23, 41, 442139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -9, -63, 3, -442 in ascending order.\nAnswer: -442, -63, -9, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - f - 135, -3*f + 5*f = -3*p + 81. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -231, -457, -683, -909?\n\"Answer: -226*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/9*75\/(-10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5462524 or 5462526?\nAnswer: 5462526","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 209 = 4*f, 2*f + 235 = 5*m + 28. Solve 2*h = 4*z - 15 + m, -2*z - 2*h = 4 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 75552\/264481 - -2\/37783. What is the closest to b in -1\/2, -9\/4, -8?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + -2*(-12)\/(-8). Let k be q\/(-15)*9 + -1. What is the third derivative of -11*x**k + 0*x**4 - 2*x**4 - 17*x**2 wrt x?\nAnswer: -48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 371394 and 495.\nAnswer: 20426670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3, 0, 0.181?\nAnswer: 0.181","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 261183*w - 2163884.\nAnswer: 261183","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**8)**(5\/6)\/(f**(2\/3)*(f*(f\/((f**(-6\/11)*f*f)\/f))\/f*f)\/f) assuming f is positive.\nAnswer: f**(60\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 119920.5 and -32?\nAnswer: -3837456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4509 by -9.\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 259 - 254. Let y(u) be the second derivative of 1\/3*u**4 + 1\/5*u**t + 0*u**3 + 0*u**2 + u + 0. What is the third derivative of y(k) wrt k?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*u = -23*u - 60. Solve -13*o + 18 = -u*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fy when two letters picked without replacement from qyawbbf.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2*f + 15 = -0*f, f - 9 = 2*i. Let g be (-15)\/2 - 53\/106. Are i and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that d**2\/4 - 7825291*d\/4 + 3912645\/2 = 0.\nAnswer: 1, 7825290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 190356\/747395 + -2\/13589. Calculate the common denominator of 1\/4 - (-12)\/(-2) and t.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 9:55 PM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34833*n = -34840*n - 231 for n.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5144 is divided by 5140.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 625109333?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33455 + -33454. What is the fourth smallest value in 8, 0.4, -2\/35, 0.5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.4 + -4.43. Let t = o - 0.814. What is t rounded to two decimal places?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 329*h + 212*h - 626*h - 680 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9 - (0 + 0 + 0). Let b(u) = -u - 11. Let f(j) = j. Let c(t) = -b(t) - 2*f(t). Let k be c(x). Which is smaller: 1\/2 or k?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dumluadudmy. What is prob of picking 1 l, 1 a, and 1 d?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 9*x**2 + 11*x - 5. Let z be ((-15)\/24*6)\/((-51)\/272). Suppose 9*h - 12*h + z = -5*j, 3*h - j - 28 = 0. What is y(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 7 in descending order.\nAnswer: 7, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4701*a**3 + 4328*a**2 - 33723680*a?\nAnswer: -28206*a + 8656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -615.1710287 - -0.0282287. Let w = a - -615. What is w rounded to 2 decimal places?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 9167*d + 9161*d = 24, 4*t - 3*d = -6 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -5*d - 11. Let t(i) = -5 - 2*i + 3*i + i + 10. Calculate 4*g(l) + 9*t(l).\nAnswer: -2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35787510 by -483615.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-147752)\/33)\/((-12)\/72)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 21*r - 10. Let z be g(4). Suppose 4*n + 4*l = l - z, -5*n - 5*l = 90. Let x be n\/(-6) - 6\/(-9). What is the greatest common factor of 8 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 175 divide 660275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 8*z**3 + 5*z**2 + 16*z + 2. Let a(y) = -4*y**3 - 2*y**2 - 7*y. What is -5*a(j) - 2*c(j)?\nAnswer: 4*j**3 + 3*j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 456? (a) -1\/4 (b) 57 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*x + 1425 = -4*x + 9*x for x.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*a - 13*a - 21. Find the first derivative of 53 + 6 - 47*x**3 - a wrt x.\nAnswer: -141*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 8056532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 166 + -162. Let m = 60 + -58. Solve -n*j + 13 = r, -4*j - m*r + 1 = -9 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -293 and 2.5.\nAnswer: -732.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b + 2*b + b + 0*b.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -23.2 and -0.13.\nAnswer: -23.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10.69 + 9.3. Let d = 0.11 - g. Let r = d - 1.5014. What is r rounded to 4 dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round 1594.5635 to 0 dps.\nAnswer: 1595","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yydy when four letters picked without replacement from dddydddyddddddydyd.\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2346.406kg in tonnes?\nAnswer: 2.346406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 6, 0.2, 1\/2, -3\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 741*p**3 + 454*p**3 - 3*p + 3*p.\nAnswer: 1195*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -3. What is the third biggest value in 3\/4, -2, f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -179 + 192. Solve -q = -t + 3*h, -t - 4*t - 4*h - 11 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10780 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 695651 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 20 - -7) + 2 - -19.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1861?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3769 is divided by 42?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 - 9*h - 10. Let o be k(-7). Let a = -4 + o. Suppose -5*c + 2 - 10 = -4*f, 4*f + 4*c - 8 = a. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {b: 1, i: 9, l: 9}.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -932*o - 10. Let t(k) = -43338*k - 466. Calculate 233*q(c) - 5*t(c).\nAnswer: -466*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -5 + -7 + 4 + -1 - 3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4878 - 4625. What is the lowest common multiple of 44 and a?\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 4. Suppose 0 = 4*r - 11 - 85. Let d be 9\/(-3) + 1 - r\/(-10). Which is smaller: j or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*w - 1003*w**3 + 4*w + 1000*w**3 + 2*w**3 + w - w + (-4*w**2 + 4*w**2 - w**2)*(-w + 4 - 4) + 3*w**3 + 2*w**3 - 4*w**3.\nAnswer: w**3 + 18*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-5 + 3) - (-12 - -6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12885.\nAnswer: 3, 5, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-53*r - 52*r + 117*r + (-2*r + 3*r + 2*r)*(4 - 1 - 2))*(-4 + 5 + 1).\nAnswer: 30*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - 0)*1\/1*-1. Suppose -3*w + 4*m - 3*m + 289 = l, w + 3*m = 103. What is the remainder when w is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1057 + 808 = 5*i. Solve -373 = 8*q - i for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18*d**2 + 128 - 128 + 5*d**2 - 16*d**2 + d**2 + (-3*d**2 + 2*d**2 + 3*d**2)*(3 + 0 - 1).\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*x**2 - 2*x**3 + 5*x**2 - 4*x**2 in the form c*x**2 + q + o*x**3 + f*x and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k**3 - 2*k**2 - 9. Suppose 7*o + o - 40 = -0*o. Let v(h) = -6*h**3 + 5*h**2 + h + 19. Calculate o*x(c) + 2*v(c).\nAnswer: 3*c**3 + 2*c - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8311*t - 6594*t - 1568*t + 0*t**3 + 2*t**3.\nAnswer: 2*t**3 - 16473*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -6 - 2. Suppose h - 5*h = -y. Is (1438 + h)*(5 + -4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -409023, -408726, -408429, -408132?\nAnswer: -407835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - 7*l**2 - 10*l + 12. Let t be p(8). What is the units digit of 0\/(-6) - 1*t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2398675+-394690\nAnswer: 2003985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 18032034.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21477)\/35795)\/((18\/(-530))\/3)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-740*b**3 + 4*b + 5*b - 29*b + 20*b)*(3*b**2 - 3*b**2 - 3*b**2).\nAnswer: 2220*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 724896 - 130896 = -3*g, 5*g + 4*h + 990000 = 0. Round g to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-70)\/(-4))\/(-7)*1024\/1920?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9251564 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -3. Let h = v - 5. Let j = 7 + h. Sort 0.4, j, 0.5 in increasing order.\nAnswer: 0.4, 0.5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*h**5 + 9650*h**4 + 1273295*h**3 - 7871770*h**2 + 15898340*h - 10650520 = 0. Calculate h.\nAnswer: -1787, -149, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -1.6, -81\/5 in ascending order.\nAnswer: -81\/5, -1.6, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v - v + v + v - v - 2*v + 4 - 4 + 2*v + 3 - 3 + v - 3*v + 0*v + v + (0 + 1 + 0)*(v + v - v) + 6*v - 3*v - v - 3*v - 4*v + 4*v.\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of q - 7*q**2 - 4*q + 10*q wrt q.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 76\/3 + 4\/(-12). Let r = t + 35. What is the greatest common divisor of 20 and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 - 4*p + 508. List the prime factors of r(0).\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-46))\/(-87*(-24)\/1392)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-6 - 7) - 7 - -30?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*c - 15, 4*t - c - 1 = 3*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 - 3*s + 2. Let t be a(1). Suppose 2*i - 3*r - r - 70 = t, -4*i + r = -105. Solve i = -5*o, -4*z + 2*o + 2*o + 8 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 88005163 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 32298282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 17*q**2 + 9. Let o(k) = -4*k**2 - 2. Suppose j = 2*v - 0*j - 19, -2*j = 4*v - 34. Let i(b) = v*o(b) + 2*u(b). Let n(p) = p**2. Calculate i(n(y)).\nAnswer: -2*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 3*k - 24. Let b(i) = -i**3 + 6*i**2 - 3*i - 2. Give b(k).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 7. Suppose 0 = -z - q - 48 + 471, 4*z = v*q + 1699. Let a = z - 282. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1ba0 (base 12) in base 9?\nAnswer: -4633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 321040594 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 2482208 - 4417792. Round r to the nearest one hundred thousand.\nAnswer: -6900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*o**4 - 4\/3*o**3 - 8\/3*o + 26\/9*o**2 + 8\/9.\nAnswer: 2*(o - 2)**2*(o - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2348*g**2 + 10*g**4 - 1 - 8*g**4 + 6*g**3 + 28*g - 1 - 5*g**3 + 2351*g**2 in the form w*g**4 + k + u*g**3 + i*g + q*g**2 and give i.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*f - 7*f + 48 - f to s*f + d and give d.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**2 - 14*b. Let d be h(7). Suppose d = 3*o - 8*o + 8465. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 - 6*x + 1. Let c(o) = o + 8. Let l be c(-2). Let a be v(l). Let d = 5 - 10. Which is bigger: a or d?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -1 - 8 - 1\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -1. Let l = -7 - -7.5. Let z be (-1175)\/200 + 6 + (-7)\/24. Which is the nearest to 3? (a) z (b) l (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*d - d + 3*d)*(-79*d - 2 + 41*d + 29*d) to the form n + f*d + h*d**2 and give f.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f - 5. Let a be t(5). Suppose a = 2*y - 4*y + 22. What are the prime factors of y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 91672 and 4158.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 - -21. Let k(x) = 59*x - 5. Let t be k(4). Suppose 0 = v + l*v - t. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 4)*(3 - 4 + 4)*(m - 6*m + 3*m).\nAnswer: -18*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -6*g + 26. Let j be p(5). Let v be j + 77\/4 - 2\/8. Calculate the greatest common divisor of 165 and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 times 0.104?\nAnswer: -0.0052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45916?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + -2. Let o(w) = 5*w**2 + 4*w + 3. Let n be o(a). Let k = 974 + -974. Solve v + y + 3*y + 9 = k, 3*y + n = 2*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 529619 and 530665 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 48.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (216\/45)\/(1\/20). Suppose 19*m = 7*m + q. Suppose -m = -159*l + 157*l. Solve -3*x + l = -5*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 2*n**5 + 2*n**4 - 6*n**3 - 10*n**2 - 4*n = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-6))\/((1\/(-2))\/1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q = -12*n + 104, -5*n - 12 = q - 56 + 16 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3050 times 2?\nAnswer: -6100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 254799378 to the nearest integer?\nAnswer: 634","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 4188303?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 805, 1666, 2597, 3598, 4669?\nAnswer: 5810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/13 (b) -704 (c) 20 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20367 and 9?\nAnswer: 20367","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -238253, -238251, -238247, -238241?\n\"Answer: a**2 - a - 238253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.035097 to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 32 - 27 - (-3 + 33). Let j(p) = 2*p + 4. Determine j(w).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/(-15) + 0\/1)*10. Let u be (q - (-52)\/(-8))*16\/(-20). Suppose m = -3*m + 4. Solve -x - u = -m for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1834, -2, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(448) + sqrt(448)*-3 - (-2 + 3*sqrt(448) + sqrt(448)))**2.\nAnswer: -576*sqrt(7) + 16164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - (-2)\/4)*0. Suppose -2 - 4 = 2*r, d = -5*l - 2*r + 19. Let h = -0.04 + -0.06. What is the nearest to h in -0.5, 3, l?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuuu when four letters picked without replacement from uuuuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7151dc (base 14) in base 8?\nAnswer: 16437516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18459799 is divided by 2076?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.7717418 rounded to zero decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1029 - 536. What are the prime factors of a?\nAnswer: 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5454481 is divided by 68?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence istt when four letters picked without replacement from titttslwiiiitittiti?\nAnswer: 14\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*f**3 + f**3 - 2*f + 3*f**3 + 5*f to j*f**3 + p + y*f + h*f**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8332 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16075*f**4 - 9*f**2 + 11368*f + 2 wrt f?\nAnswer: -192900*f**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.03803148 - 0.038. Round n to six decimal places.\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of -1\/3*q**3 - 1\/24*q**4 + 0 - 5*q**2 + 0*q + 7\/60*q**5. What is the tens digit of m(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 59 = -5*o, 0 = -6*i + i + 4*o + 131. Calculate the lowest common multiple of i and 30.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34582.01 kilometers in micrometers?\nAnswer: 34582010000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 + 775.\nAnswer: 771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 2*s - 8. Let v be s*((-238)\/4)\/7. Suppose -v = -2*b + r, b + 3*b - 3*r - 39 = 0. Calculate the highest common factor of b and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6.6? (a) -1 (b) 7.8 (c) 3 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 5) to base 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 PM and 5:33 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4023\/54*(2 + 0)?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tztozht. Give prob of picking 1 o and 1 h.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40 is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6611804 (base 9) to base 16.\nAnswer: 362ea2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l\/((l**(2\/123)*l)\/l*l))*l*l*l**34\/l)\/(l*l*l**(-43)*l*l*l)**(-12\/17) assuming l is positive.\nAnswer: l**(21313\/2091)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 166\/79?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(198)\/(sqrt(22)\/sqrt(2)))\/sqrt(6).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t**5 - 55*t**4 - 185*t**3 - 225*t**2 - 90*t = 0 for t.\nAnswer: -6, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (x + 2*x - 2*x)*(-3*x - 3*x + 4*x)*(0*x - 3*x + 2*x) + (-4 + 1 - 5)*(2*x**3 - x**3 - 2*x**3) in the form o + m*x**2 + i*x + y*x**3 and give y.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -36*g + 21*g + 19*g + 12 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -4*d**3 + 186*d**2 + 289*d - 44. What is n(48)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2918 divided by 2\nAnswer: 1459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4420*a - 3190*a - 2360 - 25*a**2 - 533 - 147.\nAnswer: -5*(a + 304)*(5*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*c + 408 = -18*c. Solve -5*i - c*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -817475*k - 23706770. Give t(-29).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-7)*(-156)\/3224*1953\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 161 and (13 - 9)\/(287\/(-63) - 5\/(-1)).\nAnswer: 1449","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222 is divided by 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -1680*k**3 - 6*k**2 + 73*k + 2. Let j(n) = -1682*n**3 - 7*n**2 + 78*n + 3. Let f(m) = -6*j(m) + 7*z(m). What is the second derivative of f(b) wrt b?\nAnswer: -10008*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + z + 144 + 213, n - 3*z - 176 = 0. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-3)*(-21)\/35.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - 2)*6\/(-3). Let m be (-3)\/8 - 39\/24. Which is the closest to m? (a) 0 (b) d (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6777 and 162.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8208 - -8606. What is the remainder when p is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (0 - (-4 + (0 - -1)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -40\/47?\nAnswer: -40\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.05 - 0.35. Suppose 5*h + 2*p - 24 = 0, 5*h - 26 = -p - 2*p. Which is the second biggest value? (a) h (b) 2\/9 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1924020?\nAnswer: 2, 3, 5, 7, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5\/6*l**4 + 25\/2 + 5*l**3 - 55\/3*l + 0*l**2.\nAnswer: 5*(l - 1)**2*(l + 3)*(l + 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 r, 1 a, and 1 b when four letters picked without replacement from {b: 3, m: 2, a: 3, j: 1, r: 1, v: 1}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 538 = 2*n, 4*z + 6*n = 3*n + 513. List the prime factors of z.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -17 (b) -384 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, w: 2, a: 6, p: 1, u: 2}. Give prob of sequence wwua.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 67*o - 95. Solve o*j - 7*j = 2*g + 11, -j = g + 4 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -5*c - 3. Let h = 68 - 66. Let x be (h\/(-5))\/(11\/55). Calculate f(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-9\/2))\/f*f*f*f\/f**12)**(28\/3) assuming f is positive.\nAnswer: f**(-126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4935 - -4930. What is the third biggest value in -1853, b, 2, -3\/2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4421 = 12*n + 4277 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f - 18. Let m be u(23). Solve -9 = m*o - 34 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooppppopu. What is prob of picking 3 o?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 + 6*l - 9. Let j = 7 + -5. Suppose 3*p - j*z = -28, 3*p + 3*z = -5 - 13. Is u(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((3 + sqrt(7))*1 - -2*(sqrt(112))**2))*-6 + -3.\nAnswer: -1389 - 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 99.32888 years?\nAnswer: 1191.94656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -1. Let u(o) = o - 7. Let z(k) = -3*a(k) + u(k). Calculate z(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 165, 526, 1071, 1794, 2689, 3750?\n\"Answer: -x**3 + 98*x**2 + 74*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1782\/324 + (-3870)\/708?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -120 + 24*j + 126 - 8*j - 12*j as t*j + h and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.02 - 0.12. Which is the nearest to z? (a) 0.5 (b) 3 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = 9 + 9. Let l be 5\/3 - q*(-1)\/(-9). Let c(x) = 3*x**2 - 10*x + 13*x - 3*x**2 + l*x**2 - 3. Give c(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 24\/(-30) - (-116)\/20. Let p be 31992\/60 + (2 - 3)\/g. Suppose -p = -4*y - 41. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -162941\/101752 + 582\/553. Find the common denominator of -53\/44 and p.\nAnswer: 2024","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.07 + -0.06. Let m = 1.87 - s. Let r = 1.9 + -1.4. What is the third biggest value in -0.4, m, r?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jfffykuffffffjfkkfk. What is prob of sequence ujy?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {v: 3, r: 9}.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6957 divided by 773.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -69170*h**3*p**5 - 3*h**3*p**2 - 2*h**3*p - 1159008*h**3 - h**2*p**2 + 2*h**2 - 1596*p**3 - 2*p**2 wrt p.\nAnswer: -4150200*h**3*p**2 - 9576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -23*a + 39*a + 22*a. What is the tens digit of w(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 315893, 315911, 315923, 315923, 315905?\n\"Answer: -b**3 + 3*b**2 + 16*b + 315875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 PM and 6:18 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3634 and 2599.\nAnswer: 410642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1044 divided by 522\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -835 at most as big as -842?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(4\/(-30)*-3). Suppose -3*l = f*q + 4 + 6, -4 = 4*l + 2*q. Suppose -5*s + 0*s + 70 = l. Is 14 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3947762 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 46575 - 27622. Suppose -6 = 3*x, -b - x = -4*b + q. Suppose -i = -4*w + 2170 + b, -4*i = -4*w + 8472. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-1)\/2)\/(-4*(-8)\/(-71616))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -895074 - 1937.13098?\nAnswer: -897011.13098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 6*d**2 - 9*d + 17. What are the prime factors of b(-14)?\nAnswer: 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 e when three letters picked without replacement from {v: 1, m: 3, x: 1, e: 3, b: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 26, 28, 12, -28, -98, -204, -352, -548?\n\"Answer: -s**3 - 3*s**2 + 18*s + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/3, -5.4, 4, -3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-160)\/225 - 4\/10. Let o = c + 23\/45. Which is greater: o or -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 10:08 PM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 470 and 20384464?\nAnswer: 101922320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/((-84)\/(-10)) + 28\/24 + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (16\/(-80))\/((-1)\/15). Sort l, -2, 51, 5, -5 in decreasing order.\nAnswer: 51, 5, l, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12201131 (base 4) to base 12\nAnswer: -13565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + c + c)*(2 - 2 + c**3)*(-2 + 2 - 2 + (-8 - 17 + 3)*(-3 + 2 - 1)).\nAnswer: -42*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/4))**24*m**12*m**(-14) assuming m is positive.\nAnswer: m**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2113 + 9866 = 9*t. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 55. Let b be (-66)\/(-24) + 3\/12. Suppose 3*m - 4*r - d = -b*r, 5*m = -3*r + 79. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-20 + 3 + 1) - 4) + -5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(8640))\/(6*sqrt(96)\/sqrt(8))*6 + -4.\nAnswer: -60*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 10:53 PM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-11\/2))**(-16) assuming a is positive.\nAnswer: a**88","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 + -17. Suppose -7*b = -3*b. Let l(t) = t**2 + 2. Let m be l(b). Sort -3, m, z.\nAnswer: z, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -232*l. Let c(h) = -494*h. Calculate a(c(k)).\nAnswer: 114608*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.49 - -0.49156. Round c to four dps.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(96)\/sqrt(2) - (3 + sqrt(3)*-1 + sqrt(3))))**2.\nAnswer: -24*sqrt(3) + 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20079 is divided by 481.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 3*l = 62 + 85, 5*l + 31 = d. Calculate the remainder when d is divided by 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 20160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 5577 to the nearest 100.\nAnswer: 5600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - t)*(3089 + 1787 + 3705 - 873) - 3*t + 3*t - t.\nAnswer: -7709*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*q + 0*q - q + (3 - 3 - 1)*(-q + 1 - 1) + 3*q - 3*q + 2*q + 24*q - 13*q + 12*q.\nAnswer: 21*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 0.3, 5, -10\/3, -26, 0.059, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 3*f**4 + 67173*f**3 - 12*f**2 - 268692*f = 0?\nAnswer: -22391, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 - 19. Let l = -6 + h. Suppose 0 = d - l*d - 23. Calculate the remainder when d is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = 8*t - 15 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52923?\nAnswer: 3, 13, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-1*(-1)\/1). Let z = t + 1. Let i(c) = -c + 18. Let x be i(z). What is the greatest common factor of x and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(((-3)\/4)\/(43\/(-86)))*-10.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*q**2\/19 - 12982*q\/19 + 8334\/19 = 0 for q.\nAnswer: 9\/14, 463","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 154, 4\/3, 2, 3, -53 in decreasing order.\nAnswer: 154, 3, 2, 4\/3, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -3, -141606 in decreasing order.\nAnswer: -2, -3, -4, -141606","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 159832133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64595, -259328, -583871, -1038224, -1622387?\nAnswer: -2336360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11574 and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*n + 1617 = -29*n. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 15, q: 3}. What is prob of sequence qqwq?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 26*a**2 + 171*a + 204. List the prime factors of w(-26).\nAnswer: 2, 59, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 times 15.6675\nAnswer: 0.94005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 5*y + 44 + 46 = 0, 0 = 5*u + 3*y - 106. Suppose 8*z + u = 13*z. What is the remainder when 3\/((-2)\/(152\/(-12))) is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q + 4 = 16. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 2*p - 16. Suppose -2*v = -3*n + 5*n - 2, 0 = -4*v. Suppose -p*y - n = -5. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 PM and 11:26 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -3. Suppose -1803 - 1167 = 18*a. Let f = a + 167. Solve r*o + f*o = -4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 26904030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*p - 3*p = 40*p - 1239 for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -78\/5, 2, 3, -40, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48176417.\nAnswer: 53, 67, 13567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 103, 148, 205, 262, 307, 328, 313?\nAnswer: 250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + -18 - -16) + 1 - -5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 463977*k**2 - 927888*k**2 + 464005*k**2.\nAnswer: 94*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r - 12. Let k(d) = d + 25. Let w(j) = 7*b(j) + 3*k(j). Let m be w(-4). Solve -25 = -m*o + 2*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -464 + 459. Let t be 1696\/24 + c\/(-15). What is the highest common factor of t and 142?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/6*184\/(-28). Let o = 5\/21 + w. Put o, -0.4, -5, 3 in ascending order.\nAnswer: -5, -0.4, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34 + 39. Suppose 2*g = j - 1. What is the closest to g in -1\/4, -1\/6, -2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-200)\/250)\/(1\/((-10)\/(-12)))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1795*n - 1614*n - 9593 = 0 for n.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00381501895 rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 24a72 + -4?\nAnswer: 24a69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/2*(-708)\/4543?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, w: 5, m: 5}. What is prob of picking 1 n, 1 w, and 2 m?\nAnswer: 200\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2100)*4 - sqrt(105)\/(sqrt(5) + sqrt(180)))\/(sqrt(15)\/(sqrt(5)*3) - ((sqrt(147) - (sqrt(147) - sqrt(147)*1)) + sqrt(147))))**2.\nAnswer: 700569\/11767","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 150131 - 2011?\nAnswer: 144120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -947 + 1708. Let c = s - 22067\/29. Which is bigger: c or 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8512.1847ns to days.\nAnswer: 0.00000000009852065625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/9 - 208*a\/9 - 5408\/9.\nAnswer: -2*(a + 52)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - (27 + 21 + -33).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of 0*b**2 + 0 - 7*b - 2\/3*b**4 + 3\/2*b**3. What is the second derivative of f(n) wrt n?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45*f**3 - f**3 + 18*f**3 + 0*f - f - 2*f**2 to r*f**2 + o*f + b*f**3 + u and give b.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18463?\nAnswer: 37, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 184 - 116. Suppose -22 = -5*p + s. What is the least common multiple of 22 and p?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 1159 = 59. Suppose c + x = 6*c. What is the highest common factor of c and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-112)\/(-49))\/1 - (-4)\/(-14). Solve -2*j**2 + 2\/3*j**3 - 2\/3 + a*j = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 23108*n + 336 + 323 - 1003 + 344 as k + x*n and give x.\nAnswer: 23108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-354)\/(-649)*-22?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of -a**7\/30 - 5*a**4\/24 + 3*a**2 - 3. Let v(g) be the second derivative of l(g). What is the second derivative of v(c) wrt c?\nAnswer: -84*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 292001216?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -120 - (52 + -41 + (-58 - -6))?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/8 of a century?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 - 23. Let m = 181.82 + -172.82032. Let r = m + l. Round r to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*y + 11*y + 10*y)*(227*y**3 + 92*y**3 + 7*y**3) as j*y + v*y**3 + w*y**4 + z*y**2 + n and give w.\nAnswer: 3586","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-7320)\/1708)\/((-54)\/(-28)))\/((-4)\/18)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + 0)*48\/(-32) - 243\/(-99)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49972070?\nAnswer: 2, 5, 223, 22409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -724, -726, -728, -730, -732?\n\"Answer: -2*c - 722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 - (3 - (2 + -1)). Solve -y = m + 1 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -232403, -464799, -697195?\nAnswer: -929591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 648422*v - 188849 wrt v.\nAnswer: 648422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c - 2*c**2 + 2*c. Let n(u) = u. Let q(v) = 10*v. Let t(g) = -3*g. Let w(j) = 4*q(j) + 14*t(j). Let z(s) = 7*n(s) + 4*w(s). Give m(z(k)).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 3\/5*r + 9\/5*r**3 - 3\/5*r**4 - 9\/5*r**2 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-10 - -6) + -2)\/(-1 - 1). Solve a*m - 5 = 4 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -151, -211, -185, -31, 293, 829, 1619, 2705?\nAnswer: 4129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -885*t + 300*t + 273*t + 271*t + 2.\nAnswer: -41*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 7381\/10*o**3 + 13351\/10*o + 3003\/2*o**2 + 1331\/10*o**4 + 2197\/5 = 0.\nAnswer: -2, -13\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 673 is divided by 135?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-2) - 248\/(-16). Suppose 5*i = 2*k + 10, -i - 3*i = 3*k + m. Solve i*n - 2 = -2*w + 2*n, 0 = 3*w - 5*n - 13 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + (-44)\/(-36) + 2344\/3060. Let j = h - 10\/17. Let l = 0.27 + -0.07. Which is the nearest to -0.06? (a) j (b) l (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3\/4)\/(p**5\/p*p*p))\/(p**(-5)*p*p**(-2\/7)) assuming p is positive.\nAnswer: p**(-69\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g - 5. Let p = 27 + -87. Let w = -67 - p. Give a(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12352*k - 3202*k + 191260 - 291543 - 1579549 for k.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 2*l + 3786, 13*b - 8*b - 3*l = 6309. Is 4 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = f + 98, 0*q + f - 52 = -2*q. Calculate the greatest common factor of q and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 359970 and 7410.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 32230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-3)*64\/(576\/81)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*u**2 + 21*u**2 - 46*u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -122 + -30312?\nAnswer: -31100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 40 = -10*o. Suppose f = -3*f - o. Let w = -716.95 + 717. Put f, w, -5 in descending order.\nAnswer: w, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l + 5. Let b be f(0). Let q = 32996 + -32993. Solve -b*t - 21 = 4*w, -q*w - 2*t = w + 6 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394900 rounded to the nearest ten thousand?\nAnswer: 390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 - 124*y**2 + 11*y + 1365. Give b(-124).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -11262*n**2. Let r(z) = 979*z - 1393*z + 415*z. What is r(o(k))?\nAnswer: -11262*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23 - -9. What is the smallest common multiple of 14 and c?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -84, -185, -276, -351, -404, -429, -420?\n\"Answer: u**3 - u**2 - 105*u + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 - 3*g**2 - 10*g - 111. What is u(-7)?\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/(-4)*(-70)\/245?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2236, -2311, -2436, -2611, -2836, -3111?\nAnswer: -3436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 127761*p - 9. Let y be m(3). Suppose 4*j + 2*d = 480004, -23264 = 3*j + 5*d - y. Round j to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 96\/(-264)*165\/(-80).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -27*h - 1. Let r be w(1). Let a be 3 - (-1)\/(2\/(-24)). Let z = a - r. Calculate the remainder when z is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 113, 562, 1011?\nAnswer: 1460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 2*d + 7 - 2, s - 18 = 3*d. Solve 3*x + 9 = -12*m + 9*m, -s*m = -2*x + 9 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126*a - 60*a - 48*a + 348*a - 54*a - 59*a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -306837852 divided by 129\nAnswer: -2378588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a meter in millimeters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405) - sqrt(405)*2)**2 + (sqrt(5) - (sqrt(5)*-1 + 4)).\nAnswer: 2*sqrt(5) + 401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -38 + 9 + -5 - (-6 + 0 + 1)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17266, 62791, 136578, 238627, 368938?\nAnswer: 527511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 320345.67?\nAnswer: 320345.67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 - 13*a + 4. Let o be p(-13). Suppose 0 = -5*v + 20, k - 11 = -o*v + 6. What is the third derivative of 2*h**3 + 2*h**2 - k - h**3 + 1 wrt h?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**4 + 5*g**4 + g**4 + (-3*g + 3*g - g)*(5*g**3 - 2*g**3 - g**3) - 7*g**4 + 6*g**4 - 7*g**4.\nAnswer: -4*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3.01? (a) -4 (b) 0.4 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of s**8\/84 - 2*s**7\/105 - s**6\/30 + s**5\/15 - 4*s**2 - 5*s. Let t(z) be the first derivative of p(z). Factor t(x).\nAnswer: 4*x**2*(x - 1)**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/6*272\/(-68)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + -9 + (-13 - -77) - (-1 + -13).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/2170 and -97\/3080.\nAnswer: 95480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(3\/20)*j*j*j*j\/(j\/j**(1\/9)))\/(j**(4\/9))**(-50))**(-18) assuming j is positive.\nAnswer: j**(-4767\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16980 - 16977. Solve t*x = -2*z + 1 - 11, -z = 3*x + 5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*(4 - (-664)\/(-164)). Which is bigger: b or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 4642*h**2. Let k(j) = -7441*j**2 + 14891*j**2 - 7454*j**2. Calculate k(z(m)).\nAnswer: -86192656*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-6))\/((-2)\/30). Suppose j + 2*h - 7 = 1, 0 = -y*j - 2*h + 8. Let t be 19\/38 + (0 - j). Which is the third biggest value? (a) t (b) 5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 973633, 973661, 973695, 973735, 973781, 973833?\nAnswer: 973891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 80 and 13960.\nAnswer: 27920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3*u - 2. Let g be x(2). Let q(j) = -j + 12. Let b be q(0). Let h be 7\/(-98)*4 - 4\/(-14). Solve h*t = g*t - b for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 31*t**2 - 1. Is o(-4) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000019383576 to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 - 3*c**2 + c - 3. Let m be x(-4). Let l be (m + 1)*22\/4. What is the highest common factor of 22 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 2*f - 13 = 0, -2*i + 2*f - 4*f - 2 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1 - 10 + 11 + 3*v**5 + 2*v**3 - 2*v + v wrt v.\nAnswer: 60*v**3 + 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -665 - -8021\/12. Let x(b) = -b - 17. Let y be x(-16). What is the common denominator of m and (y\/(-27))\/((-7)\/133)?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 - 10*o - 2. Let m be i(-10). What is the second smallest value in 0.3, m, 3, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 + 4*r - 5. Let n(z) = z**2 - 3*z + 4. What is -4*c(l) - 5*n(l)?\nAnswer: -l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (-1 + 0 + 1) - (1074 - 1078)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = 5*w - 15, -3*w - 6 = m - 5*w for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/2)\/((-29)\/58)*-1. Let l(u) = -139*u + 6. What is the units digit of l(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -250, -1181, -3708, -8629, -16742, -28845, -45736, -68213?\n\"Answer: -133*h**3 - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 743745597?\nAnswer: 3, 7, 17, 2083321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 528*h**3 + 2*h**2 + 112*h + 17?\nAnswer: 3168*h + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 - 25*s + 454. What is i(-36)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 + j + 5. Let d be x(0). Suppose -5*k + 3*c = c - 100, -d*k + 120 = 2*c. Is k a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4739a22 (base 11) to base 3.\nAnswer: -120120012022121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + 3 - 3 - 4 + 14*q + 4 - 2*q + 0*q + 4*q + (-1 + 2*q + 1)*(2 + 5 - 5) + 0 + 0 + q + 1 - 2*q - 1)*(-q**4 - 7 + 7).\nAnswer: -18*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 3*w - 17 - 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8 + 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 56396, 225606, 507628, 902468, 1410132?\n\"Answer: t**3 + 56400*t**2 + 3*t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) -5 (b) 4 (c) -78\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -18 or -1006\/1203?\nAnswer: -1006\/1203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*d - 2*d - d + (2 + 2 - 3)*(-5*d + 5*d - 4*d).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + -9 - 15 - (1 + -11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -54*j + 6. Let t(f) be the second derivative of f**3\/6 + 1023*f. What is w(t(l))?\nAnswer: -54*l + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 17984?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(1\/16)*f*f**(2\/19)*f*(f*f**(-4\/11))\/f**(8\/9) assuming f is positive.\nAnswer: f**(57641\/30096)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of a**4\/4 - a**3\/3 - a**2 - 84. Factor h(c).\nAnswer: c*(c - 2)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 793 and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 109283 < 109281?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 - 61*r - 920. Let n be f(-34). What is the closest to 0.1 in -0.11, n, 5?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -y**3\/3 - 9*y**2\/2 - 8*y - 1. Is q(-6) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 * -14.8239\nAnswer: 8.89434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14635?\nAnswer: 5, 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.059 - -25.059. Let d = -861 + 886.29. Let s = d - h. Round s to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1330*d**2*s**2 - 25002*d**2*s - 120*d*s**2 + 2*s**2 + 7 wrt s?\nAnswer: 2660*d**2 - 240*d + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -312 + 6*h - 314 + 231 in the form d*h + m and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 4*t - 20 = 0, -t - 3*t = 20. Let w be 6 + (-8)\/(-6)*-3. Let z be w\/4*(8 - 0). Sort n, z, 5, 3.\nAnswer: n, 3, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43280562 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 307*z + 9349 = -3238 for z.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2 + 2305950*n + 9223816.\nAnswer: -(n - 2305954)*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of -3 - 3*a**3 - 1\/4*a**4 - 7\/2*a**2 + 10*a. What is the units digit of c(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = 16*i - 40 - 81, -2*z = 4*i - 22 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of -r**5\/30 + 5*r**4\/12 + 3*r**3 - 25*r**2. Let h be c(6). Solve q + q = -h for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) 0.035 (c) -1.459 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 6*k + 79. Give d(-14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.0463 times -30.51\nAnswer: -1.412613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**3\/5 + 10852*h**2\/5 - 10846*h\/5 - 4340 = 0. Calculate h.\nAnswer: -1, 2, 5425","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -47\/2 - -23. Let c = -126 - -121. Put h, 2\/5, c in descending order.\nAnswer: 2\/5, h, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 1572.571.\nAnswer: 629.0284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 62564 a multiple of 244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 + -21. Let i be (-120)\/(-65) - 4\/(-26). Suppose 5*v - i*s + 0*s = 169, -4*v + 4*s + 140 = 0. Calculate the greatest common factor of v and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 99 = 4*i, 2*m + 46 = i - 125. Let v = m + 98. Calculate the highest common divisor of 297 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 1\/2, -3\/67, 5, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - 13*v**2 + 7*v - 101. Let k be q(-14). Put k, -46, 1, 6 in decreasing order.\nAnswer: 6, 1, k, -46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7)\/(-7)*(1 + -1). Suppose l + 0*l + 5*g = 0, -5*l - g = a. Sort 3, -8, l in descending order.\nAnswer: 3, l, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -74\/135 - -4\/27. Let x = 92.7 + -92.8. What is the closest to -2\/19 in r, -0.2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31\/9 - -190\/63. Let n = -3.9 - -5.6. Let o = 2 - n. What is the closest to -1 in o, -0.4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l + 5. Let p(d) = -9*d + 57. Let g be 0 - 0 - (7 - 14). Let v be p(g). Give i(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-1))**(6\/7)\/(g**(-8)*g*g**(1\/4)) assuming g is positive.\nAnswer: g**(237\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 3:23 AM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2752*i**3 + i**2 - 636 wrt i?\nAnswer: -16512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -839.8933089 rounded to the nearest 10?\nAnswer: -840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -59 + 48. Let g = 24 + a. What is the highest common divisor of g and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -42, -8, 0, -24, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-13 + 2)*(6 + -7). Let f = t + -7. Solve 4*g - 3*g + f = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 11843 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 463 + -776. Let n = p + 318. Solve 16 = -9*c + n*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/51170 and -45\/25109119?\nAnswer: 251091190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 + 6*j + 3. Let y be k(-6). Let a be (2 - -962) + (6 - y). Let s = -7705\/8 + a. What is the common denominator of s and -97\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-2)*1)\/(4*14\/(-112))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 566659, -2, -4 in descending order.\nAnswer: 566659, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1266399248 to 2 decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 - (3 - (2 - -1) - (-327 - -321))?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*n + 0*n**4 + n**4 - 2*n**3 - 5 + 6*n + 2*n**2 - 3*n**2 as k*n**4 + i + w*n**3 + v*n**2 + r*n and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12 - -351133?\nAnswer: 351145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/9 - 492188*m\/3 + 1476562\/9.\nAnswer: 2*(m - 738281)*(m - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 893280349 to the nearest integer?\nAnswer: 29888","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 13\/157, -0.8, 5\/3, 81?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a millimeter in micrometers?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 + 5. Let h be (0 - -1)\/(25\/(225\/3024)). Let k = h + 37\/112. Which is greater: k or m?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**2*q*q*q**(-1\/7)*q)\/(q*q**(-6)*q*q*(q**(-2\/11)*q)\/q))\/((q*q**6*q**(1\/5))\/(q\/q**(-5)*((q\/((q**(-1\/6)*q)\/q))\/q)\/q)) assuming q is positive.\nAnswer: q**(16183\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 3*j - 15, -6*i + 3*j = -7*i - 9. Let m be (-1912)\/44 + i\/11. Which is greater: -43 or m?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 196*d**3 + 185*d**2 + 2 wrt d.\nAnswer: 1176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v. Let w(c) = c. Calculate -4*a(n) - w(n).\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 7*q**2 - 11. Give r(7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47797840.\nAnswer: 2, 5, 597473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i - 24 = i. Which is greater: i or 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = -3424*n + 3422*n + 12, 35 = -7*i for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 301623084 a multiple of 1939?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*q - 165 = 59*q - 209*q + 17 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -5, -16, -45, -98, -181, -300?\nAnswer: -461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41232355?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 2*j + 2*j. Let x(c) = -c**3 - 10*c**2 - 11*c - 7. Let s be x(j). Let t be ((-2)\/(-3))\/(s\/33). What is the third smallest value in 1, t, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, i: 10, y: 7}. What is prob of picking 2 y and 2 i?\nAnswer: 21\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 14*w = -32. Let m be ((-66)\/1)\/(w + (-158)\/(-76)). Let i = m - -1471. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40 + 10 - 14)*(-4*y + 0 + 2 - 3).\nAnswer: -144*y - 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, 114\/823, -2, 0.03, -1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 224 and 7869152?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -350 + 458. Suppose -8*i = i - h. Calculate the highest common factor of i and 204.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 9*y + 363000. What is y rounded to the nearest 10000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 140\/8*(-12)\/28*4. Let t be ((-27)\/(-6))\/((-6)\/40). Is c at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*(-30020 - (16 + -7)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1279 - 2888 - 2323)*(5*m - 4*m - 3*m).\nAnswer: 7864*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 13, 2, -16257 in ascending order.\nAnswer: -16257, -7, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 147700.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 - 50567*o - 24.\nAnswer: -50567*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*p + 3*v - 2*v, 0 = -5*p + 4*v + 12. Let c = -505 + -32. Let o = c - -557. Solve p*l = -4*l + o for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2009182 is divided by 268.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 160925 - 94090. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 7*o - 4. Let s(g) = -47*g + 3. Let r(c) = s(c) + 6*x(c). Give r(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n**(-5)*n*n))*n*n*n**17*n)\/((n\/n**(1\/5))\/n**(-21)) assuming n is positive.\nAnswer: n**(-24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3331744, -6663489, -9995234, -13326979, -16658724, -19990469?\n\"Answer: -3331745*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 427645771 a multiple of 393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -95 - -97.4. Let i = -2.41 - 0.19. Let s = u - i. Which is the biggest value? (a) 2 (b) -0.02 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 PM and 7:45 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 21 = 20 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1814\/7 not equal to -258?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 819.\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -983*l**3 + 3*l - 4752 wrt l?\nAnswer: -2949*l**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44846 divided by 1.\nAnswer: 44846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2103 + 123133?\nAnswer: 121030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153 is divided by 40?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -909*i**4 - 4229.\nAnswer: -3636*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 0*f + 6 = f, 0 = 3*f. Suppose -h = -2*h + 5*i - t, 0 = -4*h - 4*i + 16. Solve 0 = -0*y + h*y - 3*n - 24, 4*y + n - 12 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.750029 seconds in hours?\nAnswer: 0.0038194525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -28.3*-16.2\nAnswer: 458.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.947 - 0.053. Which is greater: q or 2\/299?\nAnswer: 2\/299","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -80*s - 2439 + 2439 + (6 - 1 + 0)*(-2*s + 0 + 0).\nAnswer: -90*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1219345 and 1814035.\nAnswer: 2305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 PM and 10:49 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*v**6 - 2959*v**4 + 13752*v**3 + v**2 - 270210106*v wrt v?\nAnswer: -360*v**3 - 71016*v + 82512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 8.0001. What is b rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 945571?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2 = -3*z. Suppose -o - 4 = -8. Solve 0 = z*i - o - 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(126)\/sqrt(6) - sqrt(21)) + sqrt(21))*1)\/sqrt(7) + (3*sqrt(432))**2*-4.\nAnswer: -15552 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w - 1 + 1 + (-w - w + 3*w)*(-3 + 2 + 3) + 3*w - 3*w - w - 5*w - 5*w - 4*w + (-4*w + w + 5*w)*(-3 - 1 + 3) in the form f*w + m and give f.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6347 a factor of 744141321?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -39 - 226*u**2 - 37 + 104 - 3*u - 28 to the form q*u + m*u**2 + c and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 71\/5 + -487\/35. Suppose 0*t + 5 = -2*i - 3*t, -5*t = 3*i + 9. Solve 0 - 4\/7*y**i + n*y**3 + 2\/7*y = 0 for y.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1032*g - 1033*g + 5147*g - 1028*g - 1021*g - 1030*g.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + 7*t - 3*t)*(-407*t - 276*t - 467*t - 798*t - 241*t).\nAnswer: -2189*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 503*j = 512*j - 9. Solve -16 + j = 5*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 m when three letters picked without replacement from mtmtttqttqqqmtm?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 860 a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*((-12)\/(-42))\/1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 0*k = i - 23, -4*i = -3*k - 56. Suppose -3*o + 3*j + 21 = 0, 0*o = o - 4*j - 1. What is the least common multiple of o and i*(-1)\/3*-3?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 7) + (-7 - (1 - 10))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 16*s**2 + 19*s + 1. Let z(l) = 5*l**2 + 6*l. Let h(g) = -2*q(g) + 7*z(g). Let f be h(-2). Solve f*n + 2*n = -20 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51690296?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27) + (sqrt(189)*2)\/sqrt(7) + (-2*sqrt(108))\/sqrt(4).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(3) + 2)*1*5 + 2 + 4)**2.\nAnswer: 130*sqrt(3) + 244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1535248 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 205 and 64985.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**2 - 49*z**2 - 6*z**2 - 3*z**3 + (0*z**2 - 3*z**2 + z**2)*(z - 1 + 1).\nAnswer: -5*z**3 - 55*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/22 and -17\/80.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 379440 a multiple of 153?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -733\/6 - -122. Suppose 3*t + 3 = -3*m + 6, m - 1 = 3*t. Which is bigger: x or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/4))**10 assuming q is positive.\nAnswer: q**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22101 + 22107. Let w = -7 + 19. Solve -w = -d*b + 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 0*z - 4*z = -956, z - 479 = -2*x. List the prime factors of x.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qxx when three letters picked without replacement from {x: 9, q: 2}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of l*m**3*x - l*m**2*x + 3811*l + 20*m**3*x + 209*m**3 wrt l?\nAnswer: m**3*x - m**2*x + 3811","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.290883 rounded to three dps?\nAnswer: 10.291","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 230370*d + 1644412 wrt d.\nAnswer: 230370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**1\/((x\/x**(-1))\/x)*(x**8*x*x)\/x**(-4) assuming x is positive.\nAnswer: x**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/7 (b) -7 (c) 7 (d) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 7:48 PM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -605, -1212, -1819, -2426?\n\"Answer: -607*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 6*y - 1 + 0*y + 0*y - 4*y + 0*y + 5*y - 4*y + (6 - 4 + 0)*(3*y - 3*y + 2*y))*(-y + 0 + 0)*(0*y - 2*y - y) as f + q*y + t*y**2 + r*y**3 and give r.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 2:12 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(432)*2)**2 - (-2 + sqrt(9)\/sqrt(3))).\nAnswer: -1730 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/(sqrt(25)\/sqrt(5)) - sqrt(40)\/(2*sqrt(8)).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of 10*p**3\/3 + 4*p**2 - 7*p + 246. Let x(s) = -17*s**2 - 15*s + 14. Let l(r) = 3*x(r) + 5*z(r). Determine l(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ayuuwpyw. Give prob of picking 1 w and 1 u.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c**4*h + 94*c**4 + 219*c**3*h**3 - 3*c**2*h**3 - 12*c**2*h + 51*h**3 - 29*h wrt c.\nAnswer: 24*c*h + 2256*c + 1314*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -10 - 15 - 9*y**2 + 9*y + y**2 + y**3 + 4. Let m be w(6). Let v be m + 46 - (1 - (0 - 0)). Solve 3*r + 0*r = -v for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32 - -20131?\nAnswer: 20033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 239536312 from 471232.\nAnswer: -239065080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -4*m - 30. Let o be x(-8). Solve 5 = 3*h + o for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 160\/(-200) + (-4928)\/140?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 747?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 163381 = j - 743051, -5*a + j = -1510712. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 433*t + 391*t - 2564*t**2 - 18 - 111*t - 3486*t**2 - 53*t = 0 for t.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -2) + -13 - -14\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.917 - 2.817. Put 0.5, j, -10, 0.07 in decreasing order.\nAnswer: 0.5, j, 0.07, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44237\/5789 < 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**5 - a**5 + 4*a**5 + (4*a**2 - 3*a**2 + 0*a**2)*(-6*a**3 - 7*a**3 + 5*a**3) + 0*a**5 + 3*a**5 - 12*a**5 + (-a + 0*a - a)*(2*a**4 + 0*a**4 - a**4).\nAnswer: -17*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -88 + 9?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 47ad + -6cad?\nAnswer: -2500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4224 + -4219. Let o(j) = j**2 - 5*j - 1. Determine o(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -58*x + 1 + 142*x - 47*x to the form t*x + q and give t.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 7014 divided by -6\nAnswer: -1169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/6, -1.54, 0, -5, -2\/37, 12\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -66725*b - 867558. Determine f(-13).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 362.2795 days to nanoseconds.\nAnswer: 31300948800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 + -16. Let j(f) = f**2 - 4*f - 8. Let h be j(l). Suppose -3*s + 2*s = -g - h, -78 = -4*s - 5*g. Is 11 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 37 + 34 + 886*k + 148*k - 71 as l + r*k and give r.\nAnswer: 1034","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - 6*m**2 - 6*m - 9. Let w be c(7). Let d = -2 + w. Let o be d\/6*(-3)\/(-6). Is -1 bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 24242437?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**5*b**(-6)*b**(1\/3)\/(b*b**(1\/8)\/b))**(2\/123))**(2\/99) assuming b is positive.\nAnswer: b**(-235\/73062)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t**1))**(-3\/8)\/(t**(-3\/8)\/t*t)**17 assuming t is positive.\nAnswer: t**(27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1793856373 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*7\/(-168))\/((-11)\/(-924)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1756?\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = b - 33, -4*b + 0 + 7 = 3 for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7698*v + 34647*v + 1790*v + 12799*v.\nAnswer: 41538*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18202 + 18203. Which is bigger: -5\/3879 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + 177*k**2 + 3*k - 103. Let w(j) = 2*j**3 + 2*j**2 + 2*j. Let x(l) = d(l) - w(l). Find the second derivative of x(g) wrt g.\nAnswer: -6*g + 350","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0214, 0, 1\/4, -4 in decreasing order.\nAnswer: 1\/4, 0, -0.0214, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-15))\/(152\/95).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 283453 by -5.\nAnswer: -283453\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 + 10*h + 14. Let q be d(-10). Calculate the greatest common factor of q and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2273358 or -2273365?\nAnswer: -2273365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 504*i**3 + 259 wrt i?\nAnswer: 1512*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/170 and 87\/34?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 23306863 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -104 - -106. What is the closest to 0.2 in 1, o, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -5*c**2 - 20*c - 32. Let o(y) = 2*y**2 + 7*y + 11. Let d(u) = 4*g(u) + 11*o(u). Is d(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63392 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-18) - -1)\/((-1 + -2)*5)?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (5 - ((-1 - -6) + (-15 - -21)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -2. Suppose 3*t - 280 = k*y - 4*y, -t + 1120 = 4*y. Round y to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 559 divide 931267302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v*v*v**(-1\/2)*v)))**(-26)\/((v\/(v**(-2\/5)\/v))\/v**(-6))*(v*v**(2\/21)*v*v*(v*v*v**(1\/12))\/v)**15 assuming v is positive.\nAnswer: v**(-1501\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -253618*r*z**3 + 213*r*z**2 - 2*r*z - 7*r - 3*z**3 + 2*z - 639918 wrt z?\nAnswer: -1521708*r*z + 426*r - 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 489 + 493 - 971 + 2*b.\nAnswer: 2*b + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9657 + -5998. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -224068\/35 - -6402. Which is the third biggest value? (a) i (b) 1\/9 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*n + 72*n - 214*n + 76*n.\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/4 + (34\/4 - 1). Suppose -c*d + 6 = -6*d. Suppose r = -1, -6 = -2*f + 2*r - d*r. Solve f*o + 11 + 9 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 377 + 517. Does 64 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = r. Suppose -n + 1 + 6 = r. Let u be 20\/(-70) - (-16)\/n. Solve -5*z = 12 - u for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/61, 0.08, 0, 2, -4, 5\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -501.87 to the nearest 10.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(637) + 0 - ((sqrt(117) + -1)**2 - (sqrt(1053) + 2*sqrt(1053))**2).\nAnswer: 13*sqrt(13) + 9361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2)*(101 + 101 - 278)*(-3*u + u + 3*u)*(3*u**2 + 2*u**2 - 3*u**2).\nAnswer: 304*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 5*n - 48. What is the least common multiple of n and 15\/(-6)*48\/(-20)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 119220 and 24180?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 433 = 5*m + 48. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2262943.\nAnswer: 107, 21149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 7*x + 2*x + 6*x)*(0 - 1 + 0)*(-6*x + 0*x + 2*x)*(0 - 3*x + 0).\nAnswer: -12*x**3 - 36*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/33704 and -59\/1532.\nAnswer: 33704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 41, 30, 19, 14, 21, 46, 95, 174?\n\"Answer: j**3 - 6*j**2 + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 253495887?\nAnswer: 3, 1931, 43759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 3*r = -865 + 856, 0 = -w - r + 3 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -877 - -2633\/3. Which is the nearest to 2\/5? (a) 20 (b) n (c) 3 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3904 - 4*i**3 - 7797 + 3910.\nAnswer: -4*i**3 + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -388*x - 1920 = -400*x. What is the lowest common multiple of 80 and x?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - s = 6. Let n(a) = -a**2 - 3*a + 3. Let w be n(s). Find the third derivative of -3*u**2 + 0*u**2 + 0*u**3 + 2*u**w wrt u.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -3, 3, 11, 21, 33, 47?\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, a: 5, n: 3, o: 2, w: 7}. Give prob of sequence nayw.\nAnswer: 7\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -38596a (base 12) to base 3\nAnswer: -1201212022001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 257 is divided by 52?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 3 + 15. Is (r - (-1983)\/3)\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ejre when four letters picked without replacement from qqejerrfeqne?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l. Let q be b(1). Suppose -4*x - q*j = -22, x - 4*j - 2 = 8. What is the greatest common divisor of x and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 38*w**2 - w + 41. Let b be z(38). Solve -b*i = -9*i - 30 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 7\/4, 0.3, 17, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 3:26 AM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2675\/246 + 94\/41. What is the common denominator of a and 53\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 168 or 56616?\nAnswer: 168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1394 is divided by 115?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*u + 102*u - 70*u.\nAnswer: -33*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(3\/4)*o)**(3\/2) assuming o is positive.\nAnswer: o**(21\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 2*h)*(2*h - 28*h + 53*h + 61*h) to the form w*h + a + n*h**2 and give n.\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1628663649.1 from 76.\nAnswer: -1628663573.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of 2*b**3\/3 + 2*b**2 + b. Let h(z) = -3 - 2 + 130*z - 261*z + 126*z - 2*z**2 + 3*z**2. Determine 4*h(s) + 5*v(s).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 18, 21, 24, 27?\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*m**3 + 3*m**3 - 9*m**3.\nAnswer: -12*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -21044 divided by -239\nAnswer: 21044\/239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 782*c - 1.\nAnswer: -782*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 218866 to the nearest integer?\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60035 (base 7) to base 5.\nAnswer: 430212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/((z**(-2\/7)\/z)\/z))\/(z*z**(-4)))**14 assuming z is positive.\nAnswer: z**88","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 539 and 1.\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1186 - -0.1186177. Round f to six dps.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1068*b - 965*b - 910*b - 849*b.\nAnswer: -3792*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1128 divided by -341.\nAnswer: -1128\/341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33184*p - 33109*p - 33523*p + 99092*p.\nAnswer: -724*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 12:41 AM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 204\/4386 - 216\/946.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - 0. Suppose 2*i + 2 = 0, -33*r + 29*r + 4*i - 24 = 0. Let t be r\/(-21)*(n - -10). Solve -t*y = -3 + 12 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 4*i + 243, 2*r - 118 = 3*i + 45. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/(-12) - 9\/(-34). Let y = w - -4\/17. Which is the nearest to -1\/3? (a) 5 (b) y (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 6.1. Which is the nearest to t? (a) 0.6 (b) 3\/7 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-63)\/65 + (-7 - -8). Is f not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 - 7*v**2 + 2 + 6 to n*v**2 + w + y*v and give n.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 323916884 + -323916867.9999991. Let a = -16 + q. Round a to 7 dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 685?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand f - 2*f + 2*f + f - 2*f - f + (0*f - 3*f + 0*f)*(3 + 0 - 4) + 0 + 0 + 2*f.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1038608137.\nAnswer: 7, 148372591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 8114219.\nAnswer: -5\/8114219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2774*p - 2770*p - 5*f - 12 = 0, p = -7*f + 3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**2\/5 - 96*d\/5 + 864\/5 = 0. What is d?\nAnswer: 12, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 5*v**2 - 5*v - 2. Let d be y(-4). Let k be ((-4)\/(-8))\/(4\/40). What is the second derivative of -5*u + k*u**4 + u + d*u - 3*u**4 wrt u?\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qw when two letters picked without replacement from hqwqj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3777779094 and 13007.\nAnswer: 13007","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 7*r**3 + r**2. Let w be m(-1). Let z be (-30)\/(-20) + (-15)\/(-2). Is 5 a factor of z\/w + 23\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of 10*s**2 - 19*s - 9791. Determine x(6).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -265 + 0*z - 2*z - 3*z.\nAnswer: -5*z - 265","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1623, -3270, -4917, -6564, -8211?\nAnswer: -9858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x + 5*x + 4 - 7*x to the form t + a*x and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b\/b**(-5))\/b))\/(b*b*b**(-1\/3)*b)*(b*b**(-1\/12))\/b**(-2\/11) assuming b is positive.\nAnswer: b**(-245\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1213\/45 - 147\/5. Find the common denominator of -99\/4 and f.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, q: 12}. What is prob of sequence gq?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 h when three letters picked without replacement from {h: 3, l: 1, g: 1, m: 4, n: 4}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4956112.43 rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*v + 165 = 6*s, -3*v + 4*v + 1017 = -4*s + 1118 for s.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 108 - 105. Solve -v = s - 2*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2628324, -2628320, -2628314, -2628306, -2628296, -2628284, -2628270?\n\"Answer: f**2 + f - 2628326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 658 is divided by 65.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 187*x - 175*x. Let c(d) = d - 5. Let u be c(0). Sort x, u, 1, -3 in descending order.\nAnswer: 1, -3, x, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12455311 (base 9) to base 16.\nAnswer: 5d5d5e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j. Let z(x) = 28*x + 36*x - 68*x. Determine z(f(t)).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -878 - -885. Let b = -22 - -25. Solve 4*s - 16 = b*h, 0*h = 3*s - h - w for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1020 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-7) - (-9396)\/42. Let u be z\/20*15\/2. 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: Calculate the remainder when 709 is divided by 268.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 27\/4 of a meter?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18871 - 18866 - 6*a**3 + 33*a**3)*(6 + 0 + 0).\nAnswer: 162*a**3 + 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3*g + 2 + 10*g.\nAnswer: 13*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 7 - 16 = 4*f, -n + 5 = -f. Suppose -m = -5*x - 14, -2*x = x + 4*m + 13. Let q be -3*(-2 - x) + 0. Sort 4, n, q in ascending order.\nAnswer: q, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 4*f - 3 = 0, 2*f = -4*v + 18 - 6. Let s(z) = z**3 - z**2 - 3*z - 6. Let m be s(v). Solve 0 = -2*d - 9 + m for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 32, 5\/3, 4, -5720, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24223*g**3 - 43*g**2 + 3261*g**3 + 43*g**2.\nAnswer: 27484*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -12231*y**2 + 4942*y - 53. Let v(j) = 6114*j**2 - 2470*j + 29. Let k(c) = -6*b(c) - 11*v(c). What is the second derivative of k(z) wrt z?\nAnswer: 12264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*c**4*u**2 - 408*c**3*u**2 - 2*c**2*u**2 + 2*c**2 - 28059*c*u**2 - u**2 wrt c.\nAnswer: -384*c*u**2 - 2448*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 99*t**2 + 23*t + 9. Give j(2).\nAnswer: 451","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 69*c**3 - c + 6*c - 30*c**3 - 7*c**2 + 7 - 21*c**3. Is p(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of -1\/2*i**2 + 0*i + 5. Let u(h) = 8*h. Give u(p(c)).\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(44)\/sqrt(4) + sqrt(11)) + -3 + ((4*sqrt(44))\/sqrt(4) + -3)**2.\nAnswer: -30*sqrt(11) + 182","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 674 + -10. Does 59 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 7*v**3 + 3. Let o be 6\/42 - 417\/(-21). Let b(w) = -48*w**3 - 20. What is o*k(q) + 3*b(q)?\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2 + 2 - 3 - 1 + (-1 + 4 - 4)*(0 + 3 - 1) + 3 - 2 + 2)*(-5 - 2*a**2 + 5).\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + (4 + -10 + -8 - -5).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 117*r - 2029*r - 76480 for r.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -93*u + 25. Let g(f) = 62*f - 15. Give 8*g(d) + 5*h(d).\nAnswer: 31*d + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zrouq. Give prob of sequence rzu.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h**3 - 16*h**2 + 13*h + 100. What is j(-8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -479*z**2 + 230*z**2 + 238*z**2.\nAnswer: -11*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 60518 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: In base 14, what is -19 + 292a5?\nAnswer: 2928a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, -12, 8.\nAnswer: -12, 8, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v**2 - 203*v + 107. What is f(67)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/14944368 and -93\/68.\nAnswer: 254054256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 391036?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 + n + 2817. Let r(f) = 4*f. What is r(m(u))?\nAnswer: -4*u**2 + 4*u + 11268","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.2, -1, -0.4, -101, -1245 in increasing order.\nAnswer: -1245, -101, -1, -0.4, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - k = k - 30, 4*c + 4*k - 4 = 0. Sort 0, -1, c in decreasing order.\nAnswer: 0, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooh when three letters picked without replacement from {h: 2, o: 4}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 5) to base 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4623*q + 4594*q - 397706 = 0. Round q to the nearest one hundred.\nAnswer: -13700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 124*x + 1. Let u(m) = -24*m. What is u(h(k))?\nAnswer: -2976*k - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-3) - (-14)\/(-12). Let f = 5 - -1. Let l be 2 + f\/4*-1. Which is the nearest to 1? (a) -0.4 (b) l (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -98 + -57?\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 100*v - 78*v. What is the second derivative of -3*o**v + 2*o + 6 - 10 + 84*o**3 + 17*o**3 - 57 wrt o?\nAnswer: 588*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 33*p - 57*p + 27*p - 5 + 0. Let w(r) = -r + 1. Let a be 9\/((-90)\/(-8))*70\/4. Let c be a - 16 - (-2 + 1 + 0). Determine c*g(h) - 4*w(h).\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 13 = 4*g, 4*g + 1 + 3 = 0. Suppose 3*b + 0*b = 0. Suppose -5*s + 84 = p, b = -4*s + 2*s - 4*p + 48. What is the remainder when s is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26530570 and 1434910?\nAnswer: 1246936790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1*6*2*(sqrt(480)\/sqrt(8) + sqrt(60))\/sqrt(12).\nAnswer: -3 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 81\/5*i - 1\/5*i**2 + 166\/5.\nAnswer: -(i - 83)*(i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000090437 rounded to 6 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40050 and 200?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5484200?\nAnswer: 2, 5, 17, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(0 + -5 + sqrt(18)\/(-1*sqrt(6)) - (((sqrt(126)*2)\/sqrt(6))\/(sqrt(28)*-2))**2).\nAnswer: 4*sqrt(3) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -118, -523, -1024, -1663, -2482, -3523, -4828, -6439?\nAnswer: -8398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3228 + 4*y**2 + 4*y**3 + 3212 - 6*y**3 in the form w*y + u*y**2 + d*y**3 + g and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 280*k - 14. Suppose 19*u - 40 = 9*u. What is the units digit of g(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -98497.738 and -5.\nAnswer: -98502.738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 16 + 11. Suppose 85 = d*f + 5*k, 0 = -0*f + f + 3*k - 17. What is the remainder when 31 is divided by f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/3823522 and 5\/100619.\nAnswer: 3823522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-9) + (4 - 52\/117). Solve f = -w*f - 15 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 4, -0.094, 1?\nAnswer: -0.094","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 287 + -162. Is 25 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*z - 15*z - 6*z - 6 = 0, -6*z - 73 = 10*i + 19 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0052923 rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 17884*w + 35768*w - 17881*w.\nAnswer: 3*w - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6352264, -25409084, -57170450, -101636362, -158806820?\n\"Answer: -6352273*c**2 - c + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-1))\/((6\/12)\/((-31)\/310))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -4, -10, 32, 11731 in descending order.\nAnswer: 11731, 32, 1, -1, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96618.\nAnswer: 2, 3, 16103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 520754?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 353 - 351. What is the fifth biggest value in -5, 5, -58, b, 0.4?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of -7*r**6\/20 - 51*r**5\/10 - 169*r**4\/8 - 18*r**3 + 27*r**2 + 156*r - 2. Find x, given that q(x) = 0.\nAnswer: -6, -3, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 38\/23, 2\/23, -3, -0.3, 5, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 9*y + 4. Let q be h(5). Let j = -293\/6 + q. Which is the nearest to -2\/9? (a) 0.4 (b) j (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -5. Suppose p*i = -37625 + 99127. Suppose 0 = -h - i - 36249. What is h rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-6))\/((-60)\/(-90)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 553487 and 680011?\nAnswer: 126524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 5 = -2*r. Let g = -6 - r. Which is the third smallest value? (a) 0.5 (b) 0.1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(13 - 35)\/330*145?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21 + 21.4. What is the nearest to m in -2\/15, -1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 divided by 22.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -22532, -45072, -67612, -90152?\n\"Answer: -22540*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -2. Let j = 8 + -13. Let k be (j + 2)*1\/3. What is the biggest value in u, k, -0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 788, 786, 770, 734, 672, 578, 446?\n\"Answer: -d**3 - d**2 + 8*d + 782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -86\/5 (b) 0 (c) 3 (d) 5\/4 (e) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.08? (a) -6.7 (b) -3 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -130051164 divided by -4.\nAnswer: 32512791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -15 + 0?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 43391 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 5*x**2 + 5. Let j(l) = -l**2 + l. Let s(a) = -9*a**2 + 10*a. Let p(t) = -10*j(t) + s(t). Calculate -g(u) + 5*p(u).\nAnswer: -u**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 5*a + a)*(1 + 0 + 0)*(37 - 12 - 11 + 2755*a**2 - 14).\nAnswer: 13775*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 115155736333 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q + 10. Let h be d(-4). Let l = -23 + 33. Let y = h - l. Solve -k - 4*c = -19, -5*c = -y*k - 5 - 3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.08? (a) -12 (b) -3 (c) 20\/37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1074*j**3 - 454*j**3 + 965*j**3.\nAnswer: 1585*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 852034533.\nAnswer: 3, 7, 241, 168353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**1*i)**(-16\/3))**6 assuming i is positive.\nAnswer: i**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*l**2 + l**2 - 5*l**2 + 0*l**2.\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 4*k**3 + k**2 - 1. Let g be o(-1). Let h = -214\/3 + 212\/3. Which is the second biggest value? (a) h (b) g (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 4*i + 22. Let y be (-18)\/(16\/(96\/12)). Calculate k(y).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27647?\nAnswer: 27647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 15, -4*j = 3*i - 3*j + 33. What is the remainder when i\/(-2)*(-5)\/(-25) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.13 * -0.5.\nAnswer: 0.565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*o = 8994 - 10065 for o.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1776003?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 7a3 (base 11) to base 14\nAnswer: 4c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (90\/10)\/(-9) - 7\/1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 19228*p**3 + 12*p**2 + 12*p - 8. Let v(l) = 19227*l**3 + 15*l**2 + 15*l - 10. Give 5*u(a) - 4*v(a).\nAnswer: 19232*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-5\/8)*t\/t**(-9)*t**(1\/2)*t*t*t\/(t\/(t**4*t)) assuming t is positive.\nAnswer: t**(135\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -669068*w - 781229*w + 333768*w.\nAnswer: -1116529*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11328302387 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-3996)\/(-259))\/(2\/42).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u - 6. Let i be a(-4). Let g be -7 - -2 - (38 - -3)*-1. What is the common denominator of i\/((-540)\/2829) + (-8)\/g and 101\/26?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/11, -3, 0.1, -4, 0, 1 in descending order.\nAnswer: 1, 7\/11, 0.1, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170*u + 2568 = -1195 + 363 for u.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-1 - ((5 - 4) + -3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*v + 42737 = 145841. What is the greatest common divisor of v and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - a - 21, -d = 5*a - 32 + 7. Suppose 197*t - 192*t + 4*k - 54 = 0, -2*t + 2*k = -18. Suppose d*r + 1315 = t*r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {s: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, w: 2, m: 1}. What is prob of sequence cw?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -277 - 61 = -2*k. Calculate the common denominator of 117\/10 and (-55)\/15 + 4 + k\/(-66).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 0. Let p(l) = 0*l**2 + 18*l - 20 - y*l**2 - l**3 - 5*l - 3*l**2. Calculate the remainder when p(-9) is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) 4 (b) -1\/4 (c) 2 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 5*i - 156. Suppose 3*d = 2*g + g - i, 4*d = -4*g + 52. Let q = 775046 - 775034. Solve g = 5*r - q for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(76) - (sqrt(19) - (2 + sqrt(19))**2*2).\nAnswer: 46 + 11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -4, -12, -2 in descending order.\nAnswer: 4, 2, -2, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c + 5*c = -4*a, 5*a = -4*c + 9 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150 = -33*b + 570 + 303 for b.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 9 (b) -0.3 (c) -142.6 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -501*k + 1262*k - 500*k + 25092 = 5256 for k.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**2 - 269989904419*g + 269989904419*g.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 - 25. Let b be (v + 1)\/((-2)\/(-20)). What is the remainder when (132\/b*-1)\/(21\/(-70)) is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 8, -0.1 in increasing order.\nAnswer: -5, -0.1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4025018 by 32.\nAnswer: -2012509\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**13)**15\/((o**(-10\/7)\/o)\/o**1) assuming o is positive.\nAnswer: o**(1389\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1865, -1877, -1903, -1949, -2021, -2125, -2267?\n\"Answer: -r**3 - r**2 - 2*r - 1861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2898 and 12834?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a tonne in kilograms?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r - 1 = -a, 0 = -5*a + 26585 - 26640 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/10*5)\/((-21)\/3).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55, -56, -57?\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -3*u**2 + 17*u - 7. Let k be d(5). Solve -8 = -5*t - o, -k*t - t - 3*o + 13 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10763919 <= -10763918?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2. Let d(c) = -41*c + 2 - 13*c - 43*c - 20*c - 26*c. Determine d(t(y)).\nAnswer: 143*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -2*o - 4556, 5*p + 149*o = 146*o + 11422. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23461 + -18883. What is the highest common factor of 294 and y?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -2*j**3\/13 + 1354*j**2\/13 - 33740*j\/13 - 72912\/13 = 0?\nAnswer: -2, 28, 651","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3*o**3 + 2*o**2 + o. Let k be (2\/(-6))\/(8\/24). Let h be p(k). Calculate the remainder when (h + 0)*(-14)\/4 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 5*u - 1448, -h - 490 = -0*h - 2*u. Let c = h - -865. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w + 7. Suppose r - 11 = 3*a, -r = -5*a - 0*a - 19. Let f be l(a). Calculate the highest common divisor of f and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 120*m + 69. Let z be j(-7). Let n = 1625 + z. List the prime factors of n.\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (5 - 6 - 7).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 58*j**3*n**4 + 4*j**3*n**2 + 12*j**2 wrt n?\nAnswer: 1392*j**3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*h**2 - 7 - h**2 - 5*h + 2*h**3 + 6*h as q*h**3 + k*h**2 + w*h + b and give b.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*t**2 + 0*t**2 - t**2)*(-3*t + 5*t - 5*t) + (5 - 4 + 1)*(3*t**3 + 2*t**3 - t**3) to the form i*t**3 + q*t + r*t**2 + k and give i.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0577 - 0.1577. Suppose 2*z = 5*o - 46, -3*o + 31 + 7 = -2*z. Sort d, z, -2 in descending order.\nAnswer: d, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10900182*z**3 + 16080572*z**2 wrt z.\nAnswer: 65401092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2500, 2500, 2498, 2494, 2488, 2480?\n\"Answer: -l**2 + 3*l + 2498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-48)\/(-22) + (-4)\/22. Suppose -4*g + 3*o = 4, l*g + 1 = g + 4*o. Let b be -4*(-1 + 3)*g. Solve -r - r - b = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*h + 28*h - 5*a + 27 = 0, -3*a - 3 = -h. Let d = 135 + -83. Calculate the greatest common factor of d and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 489*p + 11 - 239*p - 29 + 96 - 245*p. Determine q(-17).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 533513, 1067015, 1600503, 2133971, 2667413, 3200823?\nAnswer: 3734195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 2. Let j(x) = -x + 1. Let s(q) = -q + 2. Let p(k) = u*s(k) - 2*j(k). Let b(z) be the third derivative of -z**5\/60 - 18*z**2. Give b(p(a)).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*x + 10 = -h + 55*x, 4*h = -4*x + 40 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 178? (a) -982 (b) 3 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 3*y**2 + 10*y + 102. Is o(-35) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 96 or 97?\nAnswer: 96","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tpt when three letters picked without replacement from tttttttpttttttt?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1647?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oooo when four letters picked without replacement from ooooooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 + -8. Calculate the remainder when 201 is divided by q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 103179?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 5*x + 320, 4*r - 5*x - 190 = 64. Put 0, 4, r, -5 in decreasing order.\nAnswer: r, 4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -117 - -119. Solve 3 - 5 = -k*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.7 - -0.3. Let h be ((-16)\/24)\/((-4)\/(-6)). Which is the nearest to h? (a) 0.5 (b) y (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 30753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 189 + 139*w - 189 - 138*w. Let f be 1\/(-4) + (-39)\/4. Let x(b) = -4*b. Let z(k) = f*s(k) - 2*x(k). Let q(y) = 40*y**2. Calculate z(q(r)).\nAnswer: -80*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -3*q + 5 + 0*q - 1 - 3*q + 2*q**2. Let i be b(3). Solve -8*o + i*o - 16 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 1 + 6)*(-7*j**3 + 12*j**3 + 10*j**3) to o + c*j**3 + g*j**2 + s*j and give c.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -5*i + 4*n + 302, -4*n - 8 = 0. Calculate the remainder when 248 is divided by i.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2145989?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*b**2*c**3*q**2 + 8*b**2*c**2*q - 16*b**2*c**2 + 2063*b*c**3*q**3 + 33*b*c*q**3 - c**2 - q**2 wrt c?\nAnswer: -108*b**2*q**2 + 12378*b*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than -61832?\nAnswer: -61827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a + 8. Suppose 8*u - 5*u = -27. List the prime factors of q(u).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2241?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11322*b**2 + 11076*b**2 - 22324*b**2.\nAnswer: 74*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*i - 44*i**4 - 8*i**3 - 42*i**3 - 86*i**2 + 15*i**3 - 2*i**5 - 55*i**3 + 10*i**4 = 0.\nAnswer: -14, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + 16*z**2 - 27*z + 6. Let g be j(14). Solve 4*p = 2*s + 16, g = 3*p + 5 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 459 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (m + 0 + 0)*(2*m**2 + 3*m - 3*m) + 317*m**3 + 1852*m - 1852*m to the form v + z*m**3 + r*m + p*m**2 and give z.\nAnswer: 319","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 62623472?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - 5 - (3 + -11) - (0 + 0)) + 35?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(5\/4)*w*w**7\/w*w*w**(1\/3)*w**7)\/((w\/(w\/(w*w*w**(4\/9)))*w*w\/(w*w*w**8)*w)\/((w*w**(-1\/6)*w)\/w**7)) assuming w is positive.\nAnswer: w**(611\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of -3*j**2 - 1\/60*j**5 + 0*j**3 + 0 + 0*j + 1\/12*j**4. What is the second derivative of x(n) wrt n?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2747*s**4 - 17923*s**2 - 35825505?\nAnswer: -10988*s**3 - 35846*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1533000 a multiple of 163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -3*r**5\/7 - 28588*r**4 + 533663*r**3\/7 - 66716*r**2\/7 - 533660*r\/7 + 266832\/7 = 0.\nAnswer: -66708, -1, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 31, 22, -1, -44, -113, -214, -353?\n\"Answer: -y**3 - y**2 + y + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10.5 and -14959.2.\nAnswer: 157071.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -69*l - 27. Let u(z) = -33*z - 1. Let x(p) = -c(p) + 2*u(p). Give x(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/18919?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/2*4\/(-18)*3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r - 2*r + 4. Suppose -3*n = -4*u - 54 + 17, -r*u + 19 = n. Suppose 0 = 4*f - 9 - n. What is the remainder when 16 is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**6\/g)\/((g**(-1\/5)*g)\/g*g))\/((((g\/((g*g\/g**(4\/7)*g*g*g)\/g))\/g*g)\/g)\/(g\/(g*(g\/((g**3\/g)\/g))\/g)*g)) assuming g is positive.\nAnswer: g**(337\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -74165 or -0.1?\nAnswer: -74165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 - 13*f - 12. Let j be t(-12). Let z be (-16)\/(0 - (j + 2)). Let x(i) = 3*i + 3*i - z*i. Let d(c) = 3*c. Determine d(x(b)).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) + sqrt(220)\/sqrt(11))\/sqrt(4) + (sqrt(5) - sqrt(20)\/sqrt(36)).\nAnswer: 8*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -628 + 444 + 184 + 2774*t**2.\nAnswer: 2774*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/(-39))\/((20\/36)\/5*(-438)\/(-73))\nAnswer: 16\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wxwiwxwwt. Give prob of sequence xwwi.\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - 8*v**2 - v + 1. Let c be a(-8). Calculate the common denominator of 2\/(-4)*102\/(-30) and (-2)\/(12\/(-73))*c\/18.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3742795341?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -176.8822?\nAnswer: 884.411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 4*u**2 + u. Let y be x(1). Suppose -4*z = -5*a - 9*z, 0 = -y*a + z + 12. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, -114, -172?\nAnswer: -230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 367, 899, 1431?\nAnswer: 1963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 151 + -35 + -146 + -115?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/370 and -33\/16?\nAnswer: 2960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 231453?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 3*y**2 + 737*y - 246 = 0.\nAnswer: -246, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14.26 - -0.54. Let b = v - 8.2. Let p = -7 + b. Put -4, -4\/3, p in descending order.\nAnswer: p, -4\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 884 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: Expand -2*z**2 + z - z + 3 - 3 + 2*z**2 + (1 - 1 + z)*(0 + z + 0) - z**2 + z**2 + 2*z**2 - 8*z + 1 - 2*z**2 + 2*z**2 - z**2.\nAnswer: 2*z**2 - 8*z + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -794, 0.1, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(847) - (sqrt(847) - ((sqrt(847) - -2*sqrt(847))*1)**2) - (sqrt(847) - (sqrt(847)*2)**2)*2.\nAnswer: -22*sqrt(7) + 14399","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x**4 + x**4 + 6*x**3 + 0*x**4 + 21 - 5*x**4 - x - 3*x**2 - 23 as d*x + v + t*x**2 + i*x**3 + c*x**4 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -162, -2\/11, 1, 179?\nAnswer: -162","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 604689804 or 604689805?\nAnswer: 604689804","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -85 (b) 7 (c) -3\/11 (d) 1.9 (e) -2 (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50742468?\nAnswer: 2, 3, 7, 201359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rxxrxsaxgx. What is prob of picking 1 g and 1 s?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - 2*s - 12. Let i(b) = -2*b**2 + 5*b + 24. Let t(o) = 3*i(o) + 7*m(o). What is the remainder when t(-5) is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 q when three letters picked without replacement from cqdgcpqccdww.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-49413)\/15204)\/(26\/(-4))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/(-2) + -1 + -1. Suppose 5*o + g*p - 18 = 0, -18 = -o - 3*p - 4. Is 774\/8 - o\/(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 37*p**2 + 597*p - 4722. Let i be y(8). Calculate the greatest common factor of 84 and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*30\/16*6\/(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1433236 is divided by 716617?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of -183 and -0.3?\nAnswer: 54.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.0231 - -1.9769. What is the nearest to 2 in 2, -17, -6, m?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/3 + 4*j**2\/3 - 10*j.\nAnswer: 2*j*(j - 3)*(j + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -3*z**2. Let m = 0 - -4. Let o(k) be the second derivative of 0*k**2 + k + 0 + 0*k**3 + 1\/12*k**m. Calculate n(o(f)).\nAnswer: -3*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1214 is divided by 403?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-92*i - 36*i + 39*i)*((i - 2*i + 2*i)*(2 + 5 - 4) - i + 2*i + i).\nAnswer: -445*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38 and 285.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3461 (base 8) to base 9.\nAnswer: -2465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k**(3\/2)\/k))\/(k\/k**(-6)))\/(k**1)**(-5\/8) assuming k is positive.\nAnswer: k**(-55\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 9*t - 15 = 0. What is the smallest common multiple of t and 11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*2\/180)\/((2\/(-5))\/(19\/(-95)))?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/80 and -93\/8.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -158 and -1.0435.\nAnswer: -159.0435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + (-1)\/2)*-8. Let d be (1\/(-16))\/(1\/(-2)). Let r = -0.48 - -0.18. Which is the biggest value? (a) r (b) t (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 + 38. Let c be z\/5*4\/(-66). Sort c, -5, -4 in descending order.\nAnswer: c, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = 2*p - 24, 79*x - 76*x + 7 = -4*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 81 + -68. Suppose -7*a - 30 = -h*a. Suppose 0*q + a*p = 2*q - 445, -5*p + 475 = 2*q. List the prime factors of q.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -230 - -225. What is the nearest to 40 in 0.1, o, -0.5, -4\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 + 80 + -8 + -55?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(-15)\/(3150\/21).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -82160\/27 - -3045. Calculate the common denominator of 163\/1620 and a.\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 168 + -426. Let t = w + 394. What are the prime factors of t?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -802, -883, -992, -1129, -1294, -1487?\nAnswer: -1708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = -6*u + 591. What is the common denominator of 1 - (3 + -5) - u\/48 and -47\/6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1375567784?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 - 24. Let o = d - 18. Which is bigger: o or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20796392 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -21.836?\nAnswer: -6.5508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (18 + -16 + (-2 - -26)) - -13\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2928?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.1 + 3. Let i = -3\/83 + -151\/415. Which is the nearest to -1\/2? (a) p (b) i (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (10\/4 + -1)*(3 + 1). What is the remainder when 1\/(-3) + (326\/y - -1) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 7) to base 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + -3. Let p = 5 - 7.9. Let b = f - p. What is the closest to b in 0, -5, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 6*l - 28. Suppose g = -3*z - 39, -l*g - 3*z - 167 = -2*z. Is -40 smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -1. Let l(p) = p - 2. Let n(a) = 4*l(a) - 11*t(a). Calculate n(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/95)\/p)**(-2\/27) assuming p is positive.\nAnswer: p**(62\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (10 - 11)*0\/2. Let c be (m - 1)\/(2\/6). Which is bigger: -4 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4887)\/1215 + (-448)\/(-72)?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q - 3. Let x be z(8). Calculate the remainder when 714\/15 + (-3)\/x is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 - -17. Let b(w) = 2*w**2 + 4*w + 3. Let k be b(-3). Let q = f + k. Is q a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((1*sqrt(400)*6)\/(-2*sqrt(20)\/sqrt(2)))\/((sqrt(168)\/sqrt(3)*3)\/((sqrt(77)*-2 + sqrt(77))\/sqrt(11))).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58\/10 + 68\/(-85).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 6:05 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -1. Let o(x) = x + 13. Let h be o(d). Suppose -h - 56 = -3*i - 5*y, -4*y = -4*i + 48. What is the greatest common divisor of i and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 9290?\nAnswer: 27870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/102 and 46\/85.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31 is divided by (-120)\/(-2)*((-63)\/(-14) + -4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-26)\/(-3) - 3 - -2. Let r = -121\/15 + o. Is r less than or equal to 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2565886*m**3 + 48*m**2 - 1221*m - 2?\nAnswer: -15395316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49 divided by 13716.\nAnswer: 49\/13716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 69 + -39. Let a be 14\/49 - r\/7. Sort a, 1, -1.\nAnswer: a, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of -t**6\/15 + 3*t**5\/25 + t**4\/20 - t**3\/5 + t**2\/10 - 2. Solve a(u) = 0.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - (-346827)\/2)*304\/(-12). Let c = 8803218 + k. What is c rounded to the nearest one hundred thousand?\nAnswer: 4400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**5\/2 - 6257*j**4\/2 - 169473*j**3\/2 - 1225211*j**2\/2 - 530998*j = 0.\nAnswer: -13, -1, 0, 6284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15 by 79.\nAnswer: 15\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 224971 or 674912\/3?\nAnswer: 224971","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 935828009 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36 + -21. Suppose n + 33 = g. Suppose 27 + 1 = 2*r - 3*f, 4*f + g = 4*r. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2 = 33*o - 36*o, 2*q - 7 = 5*o. Which is the nearest to q? (a) -0.3 (b) 8 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56622823.\nAnswer: 61, 127, 7309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-6))\/(70\/(-84)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-20)*(-16)\/28)\/((-24)\/(-96))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 3*n + 4. Suppose 2 = -5*a + 22. Suppose 0 = -5*g + 3*p + 12, -13 = g - a*g - 4*p. Calculate the remainder when g is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(1\/3)*1. Suppose 2*o - l*w = -25, -2*o + 4*o + 24 = 2*w. Calculate the remainder when 29 is divided by 20 + o + (-1)\/1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l + 52. Calculate s(55).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14ad5 (base 15) in base 6?\nAnswer: 1232115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7719 + 6*w - w + 7706)*(3 + 31 + 13) to the form f*w + a and give a.\nAnswer: -611","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 2, 0 = 118*n - 115*n - 2*f - 3142. What is the greatest common factor of n and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2309546*w**3 - 16166823*w**2 + 18476361*w + 8 = 0 for w.\nAnswer: -8, -1\/2309546, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 747670 and 140?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of l - 19\/6*l**4 - 2\/9*l**3 + 13\/6*l**2 + 39 + l**5 + 1\/2*l**6. Suppose t(x) = 0. What is x?\nAnswer: -3, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1024.30677 + -932.306869. Let f = k - 92. Round f to 5 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-24) + (-253)\/(-138) + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 5*u = -u + 24, -4*r - 5*u = 4. Let w(n) = n**3 - 4*n**2 + 2. Let d be w(r). Suppose 0 = -d*i - 2*i + 520. Is i a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/54 and -46\/9?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wsy. Give prob of sequence swy.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 - -1038123?\nAnswer: 1038130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1298147011 to the power of 1\/2, to the nearest integer?\nAnswer: 36030","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (0 - -8) + (-319 - -297)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**4\/7 + 78*c**3\/7 - 255*c**2\/7 + 174*c\/7.\nAnswer: 3*c*(c - 2)*(c - 1)*(c + 29)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 11*k**2 - 2*k + 13. Let c be n(10). Let i = 100 - c. What is i rounded to the nearest 10?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 15 (b) 2\/5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 784 is divided by 461?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j**4 + j**3 - j. Let n(v) = -745 + 6*v + 126*v**3 + 745 - 20*v**5 + 40*v**2 + 84*v**4. Let o(k) = n(k) + 6*y(k). Suppose o(h) = 0. What is h?\nAnswer: -1, -2\/5, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -43191831*j**3 - 2459*j**2 - 67*j + 4?\nAnswer: -259150986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -23*y**5\/270 - 7*y**4\/36 + 2*y**3\/27 + y**2 - 54*y - 75. Let u(b) be the second derivative of w(b). Solve u(k) = 0 for k.\nAnswer: -1, 2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64, -107, -224, -451, -824?\nAnswer: -1379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of -4*b**3\/3 + 5*b**2 - 27*b. What is the hundreds digit of r(-26)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-67 - -145) + -94 - (-4 + 11).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1.096 times 2549.74\nAnswer: -2794.51504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fqqqjjfqqfaj. Give prob of picking 1 j and 3 f.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3126 + 3130. Sort -172, r, 3, -1, 0 in descending order.\nAnswer: r, 3, 0, -1, -172","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from tttytttytnyn?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - 2*i**2 - 34*i + 67. Let l be u(-6). Let t(o) = 119*o. Let k(n) = 15*n. Determine l*k(p) + 2*t(p).\nAnswer: -17*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 36 + 32 = 0. Let k = c + -21. Calculate the remainder when k is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10 + -5)*(-400)\/(-500). Let n = 14 + -10. Suppose -m = -n*d - w*m + 26, 3*d - 17 = -m. Sort d, 0.2, -2\/7.\nAnswer: -2\/7, 0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.6 times 0.2?\nAnswer: 14.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 10\/507 (b) 0 (c) 1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1987*z**3 - 605*z**3 - 1393*z**3.\nAnswer: -11*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 934366 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13886\/9 + -4628\/3. Let v = -0.3 + 0.2. Which is the closest to 0.2? (a) 0.04 (b) v (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r. Let j(f) = 3*f. Calculate j(p(x)).\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 177, 194, 217, 240, 257, 262?\n\"Answer: -i**3 + 9*i**2 - 3*i + 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vnvnvvnnvnvvv. What is prob of picking 2 v and 2 n?\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 502*a = 506*a - 2496. Let i = a + -617. Calculate the remainder when 132 is divided by i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -35*j - 2. Let f be k(5). Let y = -177 - f. Solve -7*h + 10*h + 15 = y for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -7*y. Suppose 5*k + 3*o + 12 = y, -2*o = -o + 4. Do 2\/287 and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 10351*y**4 + 12*y**3 - 14*y**2 - y - 122. Let j(w) = w**4 + 2*w**3 + w**2 - 2. Let h(b) = 6*j(b) - q(b). Find the third derivative of h(a) wrt a.\nAnswer: -248280*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61127 divided by -5.\nAnswer: 61127\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35, 265, 675, 1265, 2035?\nAnswer: 2985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(1*sqrt(99) + sqrt(99)))\/((sqrt(324) - (sqrt(324) + sqrt(324)*3 - sqrt(324))) + sqrt(324))*3)**2.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11810977 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -84b9c - 1?\nAnswer: -84b9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -20, -1, 47 in decreasing order.\nAnswer: 47, 4, -1, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -110*c**2*l**3 - c**2*l**2 - 9*c**2*l - 124424*c*l**3 - 5*c*l**2 + 2304*c*l + 2*l**3 - 2*l**2 - 6*l wrt l?\nAnswer: -660*c**2 - 746544*c + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2820105089 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -51071\/26 at most as big as -1964?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1330331, -1330316, -1330287, -1330238, -1330163, -1330056?\nAnswer: -1329911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38542 = -4*q + 5650. Suppose 0 = 8*w - 0*w - q. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 PM and 5:06 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/55 (b) 2 (c) 0.4 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 52*g**2 + 6492*g + 125258. What is r(-101)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1021300 (base 5) to base 6\nAnswer: 211015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 4*a**4 + 100*a**3 + 664*a**2 + 384*a - 1152 = 0.\nAnswer: -12, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - 8*g**2 + 4*g + 1. Let l be b(-9). Calculate the highest common divisor of 115 and l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -433 + 3c7?\nAnswer: -4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2807453352 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 + 10 = 3*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 34*f**2 - 5*f + 4. Suppose 4*u + d - 8 = 0, 3*d - 22 = -5*u - 5. What is the smallest common multiple of 15 and w(u)?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/(-23 + (-779)\/(-38)). Is -19\/11 at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3 - 1780*l**2 + 3552*l.\nAnswer: 2*l*(l - 888)*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 + q + 8. Let f be i(0). Let s = 10 - f. Let d = -1\/6 + 7\/18. What is the nearest to -5\/4 in d, -2, s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -15, -7, -11, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 - o + 1 - 4*o + 6*o. Let a(y) = 7*y**2 - 8*y - 6. Let x(l) = l**2 - 18*l + 71. Let q be x(7). Determine q*d(i) - a(i).\nAnswer: -i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/5 and 58\/2609307.\nAnswer: 13046535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 242 * -114.\nAnswer: -27588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 173774\/(-114) + -2*2\/6. Let u = -410 - c. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44172 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -37*n + 38*n. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 40 = 2*b, -4*b = -0*b - 3*s + 70. Let z = b - -20. Suppose f - 20 = 6*f. Sort z, f, -3 in decreasing order.\nAnswer: z, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1516709 and 0.4.\nAnswer: 1516709.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of -7*s**6\/120 - s**4\/12 + 10*s**2. Find the second derivative of f(h) wrt h.\nAnswer: -42*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from -64657535277.\nAnswer: -64657535274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 7 = 4*z, -3 = 2*g + 4*z - 1. Suppose -8 = -5*y + 7, -f = -4*y + 10. Solve -f*o = o - g for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v + 2*v - v)*(-v - 4 + 4) + (5 - 3 + 0)*(-v**2 + 0 + 0) - 3*v**2 + 3*v - 3*v.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2 (b) 4 (c) 0.33 (d) 8 (e) -144 (f) -1 (g) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 770, 9, -36\/17, -0.5, 0.5, -21?\nAnswer: -36\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 6*n**3 - 5*n - 2. Let c(b) = -23*b - 362. Let d be c(-16). Let a(z) = 6*z**3 - 6*z - 2. What is d*j(r) - 5*a(r)?\nAnswer: 6*r**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -2\/33 (b) -0.05 (c) -4 (d) 3\/4 (e) -105 (f) -5 (g) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 430202840.\nAnswer: 2, 5, 751, 14321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - 3*s**2 + 2*s - 2. Let k be a(3). Suppose 3*x + 4*o + 1499 = 0, 0*o - 513 = x + k*o. Let i = -270 - x. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, s: 1, o: 2, c: 4, r: 1}. Give prob of picking 1 o and 2 c.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 1, -6.03, -3, -0.5 in decreasing order.\nAnswer: 1, 1\/5, -0.5, -3, -6.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0*-2*1\/6. Let v(q) = -q**2 + 3. Let a be v(u). Let k be 5*(0 + (-8)\/(-10)). Is k at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -253*i - 19 + 26 + 67*i - 7.\nAnswer: -186*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -19*n**2. Let p = 4177 + -4174. Let x(c) be the second derivative of 0 + 0*c**2 + 12*c - 1\/3*c**p. Give z(x(r)).\nAnswer: -76*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8\/3 or 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42 is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3\/4 - 63*j**2\/2 + 360*j - 600.\nAnswer: 3*(j - 20)**2*(j - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.2 (b) 3 (c) 0 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 710*o*q**2*w + 130*o*q**2 - 4*q**2 wrt w?\nAnswer: 710*o*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + -3 + 5 + 2. Let u(m) = m**2 - 4*m + 7. What is the remainder when u(c) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 8. Let w = 50156 - 5567362\/111. Let v = -3\/37 - w. What is the second biggest value in p, -3, -1, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-15)*(-90)\/18\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47266 - 47630 = -48*d - 95904 for d.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2821307 * -0.4.\nAnswer: -1128522.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1873 and 0.3?\nAnswer: 0.4873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*o + 32*o + 56*o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 4 = 3*n, 2*n - 10*h + 5*h - 31 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/10, -1.2, 5, 1\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -4\/45611?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 72 + (-35 - (2 + -18)) - 10\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 952 divided by -119?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113690*w + 9088 = 112554*w for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7568 and 26961.\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 - 29 = -3*p. Let z = -1750 - -1735. Let f = p - z. Which is the second biggest value? (a) f (b) -1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = 5*m + 25, 10598*k = -3*m + 10596*k - 10 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 20544*c + 20632. Determine k(-1).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3914\/(-114) + 44 - 4518\/54.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 9. Let q = -6.6 + z. What is the smallest value in q, -0.4, -0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-72 + 191 - 371 - 624 + y - 195)*(-2*y + 2*y + y).\nAnswer: y**2 - 1071*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 112.33 and -19862.\nAnswer: -19749.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -503*i + 432 = -497*i. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26 - 28. Put -6, -4, i in descending order.\nAnswer: i, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 176 + 45?\nAnswer: 1bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/(-27) + (-6)\/(-27) + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5c9 + 87?\nAnswer: -542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2364*d - 93056 = 3452*d for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -289.9883 + -0.0117. Let a = j - -290.00046. What is a rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 64*y**2 - 4*y + 55. Is f(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -129249 divided by 129249\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2acbe (base 16) to base 11.\nAnswer: -10a779","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12.1 + -16.1. Let g be (-4)\/(-14) - (-244)\/28. Let u = 6 - g. Which is the second biggest value? (a) 0 (b) h (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/(sqrt(2)*2*6) + (sqrt(36)\/(sqrt(24)\/sqrt(4)))\/sqrt(3).\nAnswer: 13*sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-125)\/(-150)*(-24)\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 110*u**2 + 3158*u - 3158*u to the form r*u + o*u**2 + h and give o.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(250) + (sqrt(10) - (-2*sqrt(10)*1 + sqrt(10) + sqrt(10))))\/((sqrt(20)\/(sqrt(2)*1))\/(2*sqrt(162))).\nAnswer: -162*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 + 14*a - 50. Determine t(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*v - 2*l + 3*l, -2*v + 5 = -l. Let a be (2 + -1)*0\/(-4). Suppose -2*f - 3 + 2 = x, a = v*f. What is the third biggest value in x, 0.4, 2\/13?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21361.\nAnswer: 41, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 2*i + h - 12, 3*i + h = 22. Calculate the common denominator of (-52)\/i - 2\/(-4) and -69\/22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-6)\/(r**2*r))\/(r\/r**(-1))**3)**(1\/18) assuming r is positive.\nAnswer: r**(-5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v, 1 i, and 1 a when four letters picked without replacement from {a: 2, v: 2, i: 2}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -9059538.7.\nAnswer: -3623815.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.23 + 0.03. Let f = -2 + 2.1. Sort 4, y, f in ascending order.\nAnswer: y, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -107734386, -107734384, -107734382?\n\"Answer: 2*u - 107734388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -5, 0.4, 1, 3\/5 in decreasing order.\nAnswer: 1, 3\/5, 0.4, -1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -49 - -51. Let u = -0.081 + 0.181. Which is the nearest to u? (a) 1 (b) 7 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 + 1)*(-161)\/(-14) + 3. Let j be -3 + q + 4 + -2. Let w = j - -25. Solve -20 = w*o - 4*t, 2*o + 3*t + 1 = 2*t for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/4 - 45*i**2\/2 + 10243*i\/4 - 28938.\nAnswer: -(i - 56)*(i - 13)*(i + 159)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -3*a + 82. What is the remainder when 104 + (-2 - -3 - 1) is divided by a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -5*s**2. Suppose -74 = -6*h + 34. Let g(c) = h*c**2 - 3*c**2 + 0*c**2. Calculate g(d(f)).\nAnswer: 375*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*j + 200 - 672 = -82*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 44111919*y**2 + 1860293*y - 20.\nAnswer: 88223838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -4*r + 4*n, -161*r + 164*r - 240 = 228*n for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4 (b) 2950 (c) -8.34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, j: 2, k: 1}. What is prob of sequence jjk?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 3:10 PM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - v + 3*l + 9 = 0, -4*v - 2*l = -6. Solve 8 = 4*k, v = 4*u - 2*u + k for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 13*s - 60. Solve 5*v = i - 6*i + s, 0 = v + 2 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (n**3 + 3*n**2 - 31*n - 35*n + 77*n)*(-3 - 1 + 2 + (4 - 4 + 1)*(-4 + 7 - 2) + 0 + 6 - 9) in the form a*n**2 + o*n + c*n**3 + q and give o.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 480436 and 611952?\nAnswer: 2684","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 872372 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l. Let y be m(2). Suppose y*a - z = -110, 3*a - a = -2*z - 116. Let k = 89 + a. Does 13 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x. Let m be 3\/(-7) - ((-2080)\/70)\/4. Let a(j) be the first derivative of -16\/3*j**3 - m + 0*j + 0*j**2. Determine a(o(t)).\nAnswer: -16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -645 = 4*a - 93. Let j = a - -143. Suppose -j*w = -2*l + 32, 0*l - 5*w + 1 = l. Calculate the remainder when 31 is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -5*v - 6*l + 25, 0 = -4*v + 4*l + 12. Suppose 30 = v*j - j. Suppose -6*u + 10 = -u. Calculate the smallest common multiple of j and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 232 = 47*s - 51*s. Is 4 a factor of (-37 + (-2)\/(-2))\/(-59 - s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 41732280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.4 + -0.41. Let d = r - 1.19. Let y = d + -0.3. Round y to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**4 - 2 + 2 - 2*q**4 + 2*q**4 - 3*q**4 + (-2*q**2 + 2*q**2 + q**2)*(-7*q**2 + q**2 + 2*q**2) + 0 + 0 - 2*q**4.\nAnswer: -6*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*w**5 + 810*w**4 + 15585*w**3 + 21280*w**2 - 637980*w + 1234800 = 0. Calculate w.\nAnswer: -140, -14, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2676 + 1686 = -45*n for n.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38327\/20 - 1914. What is the common denominator of j and -29\/5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 2821?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 39136*j**2 + 1. Let n be b(2). Let s = 1068496 - n. Let v = -2531951 + s. Round v to the nearest 100000.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 1.43, 0.1, -10\/11?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*c**4 - 4*c**4 - c**4 + (0*c**2 - 2*c**3 + 0*c**2)*(0 + 0 + 2*c) - 3*c**4 + 5*c**4 - c**4 + 6 - 6 + c**4 + 5*c - c**4 - 5*c.\nAnswer: -2*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -262289300 to the nearest one hundred thousand.\nAnswer: -262300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 11:56 PM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (271 + z**3 + 0*z**3 - 275)*((2 - 2 + 2)*(6 - 4 - 1) + (-3 + 2 + 3)*(-76 + 149 - 10)) as q + p*z + l*z**2 + k*z**3 and give q.\nAnswer: -512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -43 divided by -5\nAnswer: 43\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3*d - 5. Let t(s) = s**2 + 2*s - 4. Let h(a) = 3*p(a) - 4*t(a). Suppose x - 2*u + 0 = 5, 2*x = -4*u - 14. Determine h(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u - 5*u + 0*u + (u + 3*u - 3*u)*(-2 + 1 + 0) - 16*u + 17*u + 21*u.\nAnswer: 20*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1312230 and 996?\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 35 = -3*g. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -3*p - 14. Let t be q(-7). Let r = t + -5. Solve 12 = 4*v + v - 2*o, -2*o = r for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6134 + 53974 = -12*k. Let f = k - -7204. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 77.463318?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**2 - 30216770*o - 60433548 = 0.\nAnswer: -2, 15108387","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - 2)\/4*0. Let u(k) = -2*k - 6*k + 11*k**3 + l*k**3 - 3*k. Let i(f) = 4*f**3 - 4*f. Let o(p) = 8*i(p) - 3*u(p). Find d such that o(d) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -7. Suppose -5*g + 4*y = 72, 0 = 5*g - 4*y + 6*y + 84. Sort g, 1, b in descending order.\nAnswer: 1, b, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -7. Suppose 2*t - z = -2*t - 15, l = t - 2*z + 9. What is the remainder when 1 - (t - 11) - -1 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus 31331.368?\nAnswer: -31334.368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.027 and -1.432.\nAnswer: 0.038664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 w when three letters picked without replacement from {w: 4, p: 2, m: 1, x: 1, u: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 162 and 90.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -29 (base 11) to base 7.\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1202232200 + 1?\nAnswer: 1202232201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 19\/8141, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 - 5*w + 5. Let o be a(4). Suppose -44 = 3*v + o. Let g = 22 - v. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 417 + (-1)\/((-3)\/6). Let t be x\/(-3)*(1866*3)\/(-6). Suppose 10*o - 1470309 + t = 0. What is o rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b (base 15) to base 4\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + m - 280, -69*m = -68*m - 4. What is the remainder when w is divided by 21?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of 29*c**3\/3 + 1641. Let u(w) = 7*w + 2. Determine u(t(z)).\nAnswer: 203*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -733, -696, -659, -622, -585?\nAnswer: -548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10 - 16088172?\nAnswer: -16088182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, m: 3, q: 4, h: 2}. What is prob of sequence mhl?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -225 - -216. Let m = -2 + 4. What are the prime factors of (-3)\/m*138\/n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*c + c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 + 211*z + 4547. Determine q(-24).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 3*h - 7, 3*h - n = n + 13. Suppose -5*g + 18 = h. Solve k - g*k = -6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3318 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: How many minutes are there between 12:19 AM and 6:57 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/28941 and 47\/17193.\nAnswer: 15078261","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-12))\/(42\/126*(-3)\/5)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 79 - 15 = 0. Let i = 33 - m. Sort -1, -9, i.\nAnswer: -9, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59580 is divided by 1139.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.22 + 0.33. Let t = q + -0.11. What is the closest to t in 0.5, -0.4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-24)\/(-21)*(-42)\/(-12). Solve c = -d - 0*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 151.65 plus 3?\nAnswer: 154.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52, -99, -146, -193?\nAnswer: -240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 - (75\/105 + 6\/21)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 6 = 2*y, 5*x - 551 = -556 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*t + 4*a = -39*t + 18, t + a = 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28.98315 centuries to decades.\nAnswer: 289.8315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of f**6\/120 + f**5\/20 + f**4\/12 + f**3\/3 - 5*f**2. What is the smallest common multiple of l(-2) and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3 - 4458*b**2 - 91032*b + 1012032.\nAnswer: 3*(b - 1506)*(b - 8)*(b + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0021065 rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 152*k**2 + 12925*k + 110*k**2 - 25834*k + 12909*k.\nAnswer: 262*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 5:17 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56058?\nAnswer: 2, 3, 9343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3 + sqrt(2299) + (0 + sqrt(2299))*-5 + -2*sqrt(2299) + -3 + (sqrt(2299) + (0 + sqrt(2299))*6 - sqrt(2299)))*-6.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, u: 1, v: 8, y: 1, r: 3, c: 2}. What is prob of sequence yb?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from {m: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 6825000 to the nearest one hundred thousand.\nAnswer: 6800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 709400 a multiple of 325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o + 216 = -936. Suppose 3*r - 4*w - 148 - o = 0, -r = -w - 82. Calculate the greatest common divisor of 63 and r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-421176)\/853944 + 4\/(-204) + 1\/(-3)\nAnswer: -11\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -53 - -64. Solve -3*c = z - p, -3*z - 2*c = c - 9 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1479.994316 - -1480. What is s rounded to four dps?\nAnswer: 0.0057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1870*h - 1872*h - 68 for h.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-2)*25*(-8)\/(-20)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 87 + -54. Suppose -2*y - 38 = -l, -62*y + 58*y = 2*l - 12. Calculate the highest common divisor of o and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -367180 divided by -91795.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144)\/sqrt(48))\/(-5*sqrt(8)*-2))\/(2*sqrt(75)*-2 - ((sqrt(75) - 3*((sqrt(75)*2 - sqrt(75)) + sqrt(75))) + sqrt(75) - sqrt(75))).\nAnswer: sqrt(2)\/200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -9*j. Let g(q) = -11*q - 3. Let h(x) = -43*x - 13. Let t(n) = -26*g(n) + 6*h(n). Calculate 16*r(m) + 5*t(m).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -19 - -b6ed?\nAnswer: b6d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -155935706*i**2*s**3 - 10236976*i*s**3 - 5*i*s**2 + s**3 wrt i.\nAnswer: -311871412*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -43 - -65. Calculate the highest common divisor of 187 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48677063 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 15777325400 rounded to the nearest one million?\nAnswer: 15777000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) -1588 (c) 4 (d) 15 (e) -0.4 (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 475 = -5*g, -3*g - 4*i - 291 = -i. Let j be (3\/4)\/((-36)\/g)*1. Solve 4 = 3*w + 2*t + j, 5*w + t = 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 9, w: 2, n: 8, j: 1}. Give prob of sequence wj.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 13998 divided by -13?\nAnswer: -13998\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*s**3 - 1)*(-5 + 0*s + s + 0*s).\nAnswer: -2*s**4 + 10*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1266\/(-4) - 33\/(-22). Let m = -186 - x. What is the remainder when m is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3274?\nAnswer: 2, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 + 22*d**2 + 68*d - 6. What is t(25)?\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/8? (a) 0.12 (b) 16 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*m - 7*m - 9*m - 9*m - 8*m - 7*m.\nAnswer: -11*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 less than 4651?\nAnswer: 4622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 475 + 9671?\nAnswer: 10146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -15573*v**3 - 70*v**2 - 1671. Let i(c) = 5190*c**3 + 21*c**2 + 557. Let t(g) = 3*f(g) + 10*i(g). Differentiate t(z) wrt z.\nAnswer: 15543*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k + 7 - k + 49*k**2 - 3*k - 5*k - 58*k**2. Let x(s) = -s**2 - s + 1. Let z(o) = -2*o. Let t be z(7). Give t*x(g) + 2*f(g).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -121*m + 132. Give n(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 21*d**2 - 24*d + 9. Let z(j) = -27*j**2 + 20*j - 10. Give -5*k(w) - 4*z(w).\nAnswer: 3*w**2 + 40*w - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + 31*w**2 + 9*w - 349. Is 13 a factor of y(-22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - 6*m**2 + 9*m - 41. Let l be c(6). Calculate the greatest common divisor of 91 and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 14*s = -10. Suppose 0 = 2*o + 4*y - 11 - 5, y - 28 = -s*o. Solve 4*z + o = 0, 3*z - 8*z = -f + 16 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -453.9 and -5.\nAnswer: 2269.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1555*n + 30 = -1545*n, 4*x - 2 = -2*n for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -576*g = -14*g - 2325 - 7791 for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -456.3 - -456. Let s(b) = -2*b**2 - 53*b + 28. Let k be s(-27). What is the smallest value in -1, k, -0.03, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 305439, -5, 5 in descending order.\nAnswer: 305439, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 + 14*n - 30. Let h = -1854 - -1838. What is l(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3060 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1244 by -58.\nAnswer: -622\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 337338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.7 and 643.\nAnswer: -1093.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 815989 is divided by 56.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + -4 - -1)*((-17 - 1645\/(-63)) + 4)\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-4) + (-2387)\/(-4340)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -206 by -206.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14515115 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -164 (b) 10 (c) -4 (d) -0.3 (e) -46.4 (f) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4\/3 (b) 15 (c) -3\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 62801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -18286 from -226.\nAnswer: 18060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -376942, -376943, -376944, -376945?\nAnswer: -376946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 - 9*p + 37. Determine u(5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 6:20 AM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, -0.53, 1\/2, 0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/10 + 6\/10. Let f(z) = -4*z**2 - 9*z + 8. Let s(c) = -c**2 + c + 1. Let w(p) = j*f(p) - 3*s(p). Is w(-12) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 297*o - 647*o = -1037*o - 1247*o - 160522 for o.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-28)\/(t**(-33)*t*t) assuming t is positive.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 plus -333?\nAnswer: -343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 - -30. Let p = 7 + -11. Let v = q - p. Does 20 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**2 + 0*s + 0*s)*(-s - 2*s + 2*s + (0*s + 0*s + s)*(651 - 963 - 1251)).\nAnswer: 3128*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80321 + 81063 = 53*x for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 + 4*z - 4. Let t be o(-5). Sort -4, t, -3.\nAnswer: -4, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of -p**3 + 409. Let u(t) = -5*t + 3. What is u(b(w))?\nAnswer: 15*w**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1847 is divided by 211.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2578 and 1.\nAnswer: 2578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*4 - (-8 + -9 + -297). Calculate the highest common divisor of 124 and h.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16875 and 5402500.\nAnswer: 625","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 - 9*q + 8. Let d be s(8). Factor 0 + 2\/3*j**2 + d*j - 1\/3*j**3.\nAnswer: -j**2*(j - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x**2 - 2*x**2 - 2*x**2)*(-38*x + 2 + 59*x - 4).\nAnswer: 21*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -8.4, -0.169, -17\/16?\nAnswer: -8.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 383291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 36 = -0*y. Let q(f) = 7*f**2 + 52*f + 105. Calculate the remainder when q(-2) is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 * -98.36\nAnswer: 1672.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(540)\/(1*sqrt(9)))\/(sqrt(144)\/sqrt(3)).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4471, -4247, -4043, -3859, -3695, -3551?\nAnswer: -3427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o + 36 = -70 + 166. Which is the fifth smallest value? (a) 1 (b) 6\/7 (c) -0.08 (d) o (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 4*m**2 + 2. Let t be z(-4). Calculate the highest common factor of t and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -5*j - 2*q - 28, 4*j + 2*q + 38 = 0. Let i be j*(1 + 0 + 1). Let p = -9 - i. Is p a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 12:05 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 >= -281\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 PM and 1:42 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 4, -0.5, 1\/7, -297598?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 35*l**2 + 28*l + 405. Let p be i(14). What is p rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 387911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4*b - 223 = -3*g, 0 = -5*g + b + 360. Suppose 3*q + 56 = g. Solve w + q*u - 19 = 5*w, -u - 1 = 4*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = v - 2. Let w = 1 - v. Let c(j) = 2 + 0 + j + w - 2*j. Determine c(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.18937km in micrometers?\nAnswer: 21189370000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.5, 0.3, 0.48, 509, 3, -3\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 12*j - 2. Let l be q(9). Suppose 39 + 98 = 4*d - r, 0 = -3*d + 4*r + l. Is d at least 37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2088 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700) + 1 - sqrt(700)) + -5 + sqrt(700) + 1*(sqrt(700) + -2) + -1 - (4 + 1 + (sqrt(700) - sqrt(700)*1))*2)**2.\nAnswer: -680*sqrt(7) + 3089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -3. Put 4, c, -4, 5 in increasing order.\nAnswer: -4, c, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by 23.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - (-9 - -18))\/(3 + (5 - 7))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*j**3 + 14*j**3 - 571 + 59*j**3 + 64*j**3.\nAnswer: 128*j**3 - 571","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1434495061 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/30 - 4550\/375?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 - 5*c + 37. Is m(-30) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2785667743 to the nearest integer?\nAnswer: 1407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 AM and 7:40 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20604 + -20600. Let o = 17.78 + -18. Which is the fourth biggest value? (a) o (b) -2\/9 (c) 2\/5 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ous when three letters picked without replacement from uos?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 49*n - 137. What is i(7)?\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 890 by -5.\nAnswer: -178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 9:10 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/1453921 or 16?\nAnswer: 3\/1453921","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -2*z + 3*z - 15, -3 = -j - z. Suppose -2*o - l = -1, 3 = -3*o + j*l - 0. Which is bigger: o or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15\/(-35) + (-304)\/(-7). Let n = g + -14. Calculate the remainder when n is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t**3 + 8*t**2 - 33*t + 27. Let v(m) = m**3 + 4*m**2 - 16*m + 13. Let r(j) = 13*v(j) - 6*x(j). Let y be r(-6). Put -4, -3, 2, y in descending order.\nAnswer: 2, -3, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 208869830 and 163?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 179, 58, -1, -71 in decreasing order.\nAnswer: 179, 58, -1, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 158809926 - 684\nAnswer: 158809242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 3) + (46 + -36 - (-8 + 8)) + -76?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*h**3*q + 2*h**3 - h*q**3 + 43*h - 87*q wrt q?\nAnswer: 3*h**3 - 3*h*q**2 - 87","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, -4, -50, -116 in decreasing order.\nAnswer: -2, -4, -5, -50, -116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7758425.\nAnswer: 5, 83, 3739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + 13\/9 + (-8011696861)\/(-15813) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - 0 - (-411)\/6. Let c = u - 69. What is the common denominator of c and 83\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, r: 1, m: 1, j: 4, d: 4, v: 1}. What is prob of picking 1 d, 2 j, and 1 v?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 105 and 630.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 5 + (-2 - -18) + -60.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000240651 rounded to seven decimal places?\nAnswer: -0.0000241","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeeeyeeeueeee. What is prob of sequence ue?\nAnswer: 13\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 47490464237 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 104, 99, 80, 41, -24, -121?\nAnswer: -256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + -0.0899\nAnswer: -0.5899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*n**3 + 4*n**3 - 3*n**3 - 2*n**2 + 0*n**3 as w*n**2 + i + v*n**3 + g*n and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**3 - 40*g**2 + 3*g + 32. Give u(20).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 37*h*y - 86*h - 10*y**4 - 1 with respect to y.\nAnswer: 37*h - 40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 30*l - 48. Let a(w) = 4*w - 7. Let z(s) = -27*a(s) + 4*x(s). What is z(3)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135478612?\nAnswer: 2, 33869653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32 - -47. Suppose -11 = -t + n. Suppose -2*g + 45 = 3*g. Calculate the highest common divisor of g and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*o + 159 = -19*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1*-3)\/(2\/(-4)). Suppose -2*x + d*x = 12. Let j(c) = -c**2 + 15*c - 13. Let h be j(14). Calculate the highest common divisor of h and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -963*c - 798. What are the prime factors of k(-14)?\nAnswer: 2, 3, 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9888 - 28792961\nAnswer: -28783073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 282335 is divided by 2192.\nAnswer: 1759","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 690 + -1128. Let g = 462.62 + a. What is g rounded to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/5, 9, 24?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1748561, -1748615, -1748679, -1748759, -1748861, -1748991, -1749155, -1749359?\nAnswer: -1749609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -969 divided by -3.\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11011010110110110001 (base 2) to base 8.\nAnswer: 3326661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of -k**6\/20 - k**5\/60 + k**4\/24 + k**3\/6 + 2*k**2. Let i be (24\/(-18))\/((-3)\/9). Suppose 10*u = 6*u - i. Determine o(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 29.03882 or -16?\nAnswer: 29.03882","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -103817 rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (142\/(-1740) + (-6)\/(-45))*4\/3.\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1074939, 2149870, 3224801, 4299732, 5374663, 6449594?\nAnswer: 7524525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -25. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 337 - 334. Let z(s) = -s**3 - 17*s**2 + 15*s - 4. Let c be z(-18). Let u = c + -45. Is u < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-52)\/(-12) - (-2)\/(-6). Suppose -k*t = -70 + 2. Suppose m = x - 0*m - t, 0 = 4*x + 3*m - 89. Does 10 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -115753, -115747, -115741?\nAnswer: -115735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, o: 4, u: 1, p: 3, b: 1, z: 1}. Give prob of picking 2 n.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 373 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 2*r + 7 - 5 = 0, -3*q - 2*r = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -692522 (base 16) to base 11\nAnswer: -3987171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, o: 8}. Give prob of sequence oa.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.1 - -6. Let c = 11.396 - -0.104. Let a = c + -8.5. What is the smallest value in l, -5, a?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 442138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(1 + sqrt(17) - sqrt(17)) - (sqrt(17) + (sqrt(51) - sqrt(102)\/sqrt(2))\/sqrt(3)))**2.\nAnswer: -2*sqrt(17) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qim when three letters picked without replacement from {i: 2, v: 1, u: 1, n: 1, m: 1, q: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 3*q = 13560000. Round q to the nearest one hundred thousand.\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -104 - -188. Let d be 4*((-86)\/u + 1). Let f = -10 - -11. Which is the second smallest value? (a) f (b) d (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.8 and 4875672.\nAnswer: 8776209.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22*l + 525*l**6 + 26*l - 166*l + 0*l**3 + 0*l**3 - 2*l**3 + 12*l**2 wrt l.\nAnswer: 63000*l**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 2045385?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + n - 38 = 0, 109*l - 20 = 107*l - 2*n for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -12*d**3 - 2*d**2 - 2*d - 1. Let s be q(-1). Suppose 1 = -2*c + s. Suppose 0 = y - b - 58, -2*b + 283 = c*y - 0*y. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159011921 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 146128 + 15*9\/(-27) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 599 is divided by 121.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 + 5*d**2 - d + 5. Let q be n(-5). Let x be (-1)\/3 - q\/24. Which is the third biggest value? (a) -0.2 (b) 2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one tenth of a century?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/28 + (-156)\/(-42)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 3*b + 8, -2*b = 5*r - 0*b - 18. Let q(p) be the second derivative of 1\/10*p**4 + 0 - 2\/15*p**3 - 1\/5*p**r + 6*p. Find d, given that q(d) = 0.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*i**6 - 7945*i**5 + 2*i**2 + 3661*i + 9 wrt i?\nAnswer: 360*i**3 - 476700*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(10\/(-60)))\/(10\/(-8)*-6).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wpimmpimvwipvppv. What is prob of sequence iwmm?\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1370694 and 140443416?\nAnswer: 1825764408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, x: 1, v: 8, f: 2, b: 7}. What is prob of sequence fw?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-57460)\/1040)\/(26\/16)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -606*z - 629*z - 904*z**2 + 2 + 906*z**2.\nAnswer: 2*z**2 - 1235*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*(1 + (-12)\/8). Let x be ((-12)\/(-10))\/(g\/(-30)). Round x to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 5, a: 11}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 246\/3182 + (-352)\/6512. What is the closest to -1 in 4, o, -3.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202 (base 4) to base 10.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2\/5, 0.1, -35, -2\/7 in increasing order.\nAnswer: -35, -1, -2\/7, 0.1, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*q = 21*q + 201. Let r = q - -75. What is the greatest common divisor of 1 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s**3 - 26*s**2 - s - 10. What is h(-13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-20)\/70)\/(-1)*-28)\/2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5*74.2\nAnswer: -371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*b - 2766 = -390. Calculate the common denominator of -23\/9 and (-2 - 896\/(-21))*3\/b.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*x**2 - x + 5*x**3 - 5*x**3 + x**4 - 2*x as n*x + u + v*x**2 + o*x**3 + k*x**4 and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 48172 - 48170. Suppose 21 = 2*s - 2*h + 3, -2*h = 4*s - 18. Let a = 15 - s. Solve 5*q + a = r*q, -3*q = 3*m + 24 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165953 is divided by 23550.\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110 = 2*b - 16. Let r be (12\/10)\/((b\/30)\/7). What is the derivative of 109 - 47 - 46 - 13*n**r wrt n?\nAnswer: -52*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 13278, 26594, 39904, 53208, 66506?\nAnswer: 79798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 456 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 c when three letters picked without replacement from {z: 8, c: 3}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*y + 2 + 13*y - 5*y)*(3 - 3 + 2 + 7 - 3 - 2 + 1 + 3 - 3 + (-1 - 1 + 3)*(1 + 0 + 0) - 4 - 2 + 5).\nAnswer: -5*y + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 139, -16, -295, -716, -1297, -2056?\nAnswer: -3011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (2 - 6) - 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5272 and 0.29.\nAnswer: 0.152888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.12, -3, 9325580?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2025\/(-18))\/(-45))\/(5\/(-12))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7\/(-5) - (-6)\/(-10). Let i(s) = -4*s - 1. Let m be i(d). Are 7 and m unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41 - (4 - -10 - (-22 + 35))\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -413*l + 2457. Let x(f) = 16*f. Determine h(x(j)).\nAnswer: -6608*j + 2457","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*46.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*t = 20*t - 27. Let a be (-1)\/((t\/(-2))\/(-9)). Solve 0 = -v + a*v + 4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/4*(-153)\/(-119)*(-1078)\/(-21)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 616980678?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -7 - -0.02\nAnswer: -6.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence se when two letters picked without replacement from {d: 3, s: 1, e: 3, j: 1, o: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 - -26. Let v be (b*6\/15)\/(-1). Which is greater: v or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 7623*x + 152594. Determine h(-20).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63 + 66 = 3*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1038 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57465178.\nAnswer: 2, 23, 1249243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21390, 21345, 21300?\nAnswer: 21255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -23271, -46882, -70499, -94122, -117751?\n\"Answer: -3*a**2 - 23602*a + 334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 1, -693778?\nAnswer: -693778","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*4*sqrt(6)\/sqrt(2).\nAnswer: -8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.21 (b) -3\/2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -45 + 60. Let k = 50 + z. What is the remainder when k is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 412*f - 415*f + 3*x + 9, 5*f - 4*x = 10 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -22403.828 rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y + 125759*y**2 - y + 3*y.\nAnswer: 125759*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -12*h**2 + 18*h - 30. Let u be a(2). List the prime factors of u*(-15 + (-6)\/(-2)).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9135111 * -3.\nAnswer: -27405333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-561)\/132 - -2)*(-160)\/(-39). Let t be (0 - -1) + -11 + 0. Is t equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of -f**9\/7560 - f**5\/40 + f**4\/6 + f. Let k(d) be the third derivative of z(d). What is the derivative of k(u) wrt u?\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 205516598?\nAnswer: 2, 7, 14679757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, 6, 332, 28\/15, 105\/2?\nAnswer: 332","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((795\/(-300))\/53)\/((-5)\/((-225)\/12))\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3286 = 80*p - 77*p, 1092 = p + l. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 3*b + 145651, -182078 = 4*m - 9*m - b. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-16))\/(2\/8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 u when two letters picked without replacement from {c: 3, u: 1, r: 1, v: 3, p: 2, s: 2}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*q**2 + 1 + 3*q**2 - 2*q**2 to z*q + t*q**2 + p and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 5*t + 5, 4*t - 2 - 39 = -5*v. Suppose 3*f + 2*y - 5*y = 12, -v*f = -y - 16. Suppose 0 = f*u - 100 - 62. Is 17 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 5*y + 5, y + 0*y + 1 = -v. Find the second derivative of -x - 3*x**2 + 6*x**2 + v*x wrt x.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1287\/(-3465) + (94\/(-56) - (-23)\/92)?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/6813 and -19\/9.\nAnswer: 6813","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 194 a factor of 26966?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/((-75)\/(-39) - 2). Let j = b + 23. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 5 + -13 + 44 + -4 + 0?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122974677 is divided by 167769?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 252907573?\nAnswer: 53, 4771841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -125081 divided by -1?\nAnswer: 125081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -176.8 + 168. Let c = d - -9. Which is greater: -0.1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -273, -1067, -2381, -4209, -6545, -9383, -12717, -16541?\nAnswer: -20849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5392517, 10785031, 16177545, 21570059?\n\"Answer: 5392514*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.042, 2, 4, 0?\nAnswer: -0.042","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13\/5 in 0.27, -5, -1\/3?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 36*b**2 + b. Let x be c(-1). Let t be (-14)\/x*3\/(-2). Is 2 != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence btb when three letters picked without replacement from btttttttttttbtb?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 22 (b) -2\/259 (c) -0.1 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -499*f**3 - 10 + 10 - 2*f**3 - 3*f**3 + 4*f**3 + (0 + 0 - 2*f**3)*(2 - 3 - 1) in the form u + q*f**2 + l*f + h*f**3 and give h.\nAnswer: -496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 8 + 0)*(-w + w - 3*w + 2*w + 0*w - 4*w + (7*w - 3*w - 2*w)*(2 - 1 + 2)).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-129)\/(-86)*(-8)\/(-30)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -12*n + 5*n + 5*n. Let q(w) = -5*w**2. Determine v(q(k)).\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3. Let v(h) = 129*h + 3227. Let j be v(-25). Let q(u) = u**3. Let d(t) = -2*t**3 + t**2. Let x(f) = -d(f) - 4*q(f). Determine j*x(z) + 3*g(z).\nAnswer: -z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 152.3094678 microseconds in weeks?\nAnswer: 0.0000000002518344375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 20820 to the nearest one thousand.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -831.682 rounded to the nearest integer?\nAnswer: -832","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - 9)*(117\/30 + -4).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 103 - 101. Let q(j) be the third derivative of 8*j**n + 0 + 0*j - 1\/60*j**5 - 1\/24*j**4 + 0*j**3. Calculate q(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 686965307 from -14677.\nAnswer: -686979984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*p**3 - 64*p**3 + 25*p**3 + 16*p**3.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 54356310*k**3 - 11398*k**2 + k + 12 wrt k?\nAnswer: 326137860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -155581381 - 456.418.\nAnswer: -155581837.418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 5*c + 18, 3*n - 4*n = 2*c - 4. Let s = -89 + 95. Suppose -u - 5 = 2*o, -u + 3*o + s = -14. Solve -u*g + n = -7, 3*l = 3*g - 21 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 32 and 6.9.\nAnswer: 220.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, c: 10, o: 1, k: 2, i: 1}. What is prob of picking 1 k and 1 b?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 5:14 PM?\nAnswer: 3:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 315\/(-2772)*(72\/30)\/(-3).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 934 - 149*o - 194*o - 934 in the form k*o + l and give k.\nAnswer: -343","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 3:25 AM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -20915 and 1356.8.\nAnswer: -19558.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*-9)\/((-390)\/(-260))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 w when three letters picked without replacement from {w: 2, j: 5}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -13 + (184 - 169).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3789462?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -5*1*(sqrt(72)*5 + -3)*2 + -3)**2.\nAnswer: -15600*sqrt(2) + 180676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 21\/2 of a millisecond?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x + 11. Let c be o(5). Let w(r) = r**2 - r + 2. Let b be w(3). Let f = b - c. What is the smallest common multiple of f and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 (base 10) in base 9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 0.2 (c) 0.3 (d) -0.68\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(399)*-2)\/sqrt(7))\/(sqrt(75) - (sqrt(75) + (sqrt(75) - -2*sqrt(75)) + sqrt(75))))**2.\nAnswer: 19\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lexl when four letters picked without replacement from fxfxxxexlxlelxxfx.\nAnswer: 9\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b - 12 - 44 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7552, -7543, -7524, -7489, -7432?\nAnswer: -7347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 878983837 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/1*1 - -3. Suppose 3*a - 4*a + 6 = 0. Suppose -2*s = -4*w + a, 3 = -s - t*s. Is w < -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sosggstts. What is prob of sequence sg?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 6:03 PM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 smaller than 2219512?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34092.99938154 + 34093. Round d to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = -17*c + 594. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 t when two letters picked without replacement from jjjgtjjjjjtjtgjt.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7408)\/(-4896) - (2\/4 - -1). Which is greater: 0 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3211*q - 593. Determine f(0).\nAnswer: -593","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8353836?\nAnswer: 2, 3, 232051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 + 3 + (2 - 2 + 1)*(8 + 6 - 18))*(-2*y + 6*y - 3*y) in the form g*y + h and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**5 - 2*a**5 + 6*a**5 + (-3*a**2 + 5*a**2 - 6*a**2)*(-a**2 + a**3 + a**2) + 5*a**5 - 3*a**5 + 0*a**5.\nAnswer: 2*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 18\/(-63) - (32\/28)\/(-4). Let b(f) be the second derivative of f**5\/20 - 2*f**2 - 2*f. Determine b(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1448 + -1449. Let m = -1.06 + 0.56. Which is the smallest value? (a) j (b) 0.4 (c) -4 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33 - 28. Which is the second smallest value? (a) -3 (b) f (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35489.3l to millilitres.\nAnswer: 35489300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/(28875\/(-50)) + 1278\/(-1155).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -3*g + 5*w, 3*g - 34 = -4*w - 104. Let x be 14\/g + (-2)\/9. What is the units digit of -2 + ((-6)\/x - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5830544 to the nearest integer?\nAnswer: 2415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 38241750683 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhbwwhwbbwwbwb. Give prob of sequence hwwb.\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 2.1. Let s = -11 + 6. What is the closest to 0.1 in 0.2, v, s?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/2, 0, -0.6, -0.5, 1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 4*z = 52, 5*d - 4*z - 15 = 59 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3305293 is divided by 2452?\nAnswer: 2449","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*o = -45*o + 231. Let a(i) be the first derivative of o - 1\/2*i**3 - 6*i - 3*i**2. Let a(q) = 0. What is q?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2 - 77978*l + 155952.\nAnswer: (l - 77976)*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 36788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 4:01 PM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5.073 + 1.46\nAnswer: -3.613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17 + 52 - 2042*n + 2040*n + 2*n**2 to the form r*n + o*n**2 + z and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 252 + -251. Sort -3\/5, 1\/3, j, -30 in descending order.\nAnswer: j, 1\/3, -3\/5, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4)\/(((sqrt(2) + sqrt(32))*-4 - sqrt(2)) + sqrt(2)))**2*-2 - sqrt(216)\/(sqrt(48)*-5 - sqrt(12)).\nAnswer: -1\/100 + 3*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2998422334*m + 2998422334*m - 6*m**3.\nAnswer: -6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/21 (b) -2\/7 (c) 1 (d) -3.642 (e) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 12:01 PM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -136180068*b**4 + 64873617.\nAnswer: -544720272*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.016 times 0.0585\nAnswer: -0.000936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 9415, 18830, 28245, 37660?\n\"Answer: 9415*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 7. Let x = -0.023 + -1.377. Let w = x + d. Which is smaller: w or -1\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.18 - -0.18000085. What is h rounded to 7 dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/22448 and 29\/303600?\nAnswer: 18519600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 26780123*s - 215007363 wrt s.\nAnswer: 26780123","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.73251 millimeters in micrometers?\nAnswer: 93732.51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6480)*2.\nAnswer: 72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {o: 1, i: 9, w: 1, q: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) 25\/18 (c) 0.1 (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10516 by 11.\nAnswer: 956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 16 - -2?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/((sqrt(40)*-1)\/sqrt(4)) + 5)**2 + 2 + -3*sqrt(704)*2.\nAnswer: -58*sqrt(11) + 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 249, 253, 259, 267?\n\"Answer: j**2 + j + 247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = -4*s + 6 - 24, -u - 6 = 2*s for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -52 - -200514132?\nAnswer: 200514040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39410\/5 + -10 + -1 + 0?\nAnswer: 17, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.23825 rounded to 2 decimal places?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11715 and 31064275.\nAnswer: 3905","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3ff (base 16) to base 15\nAnswer: -483","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 20 - 19 - 28 + v + 93 + 14.\nAnswer: v + 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -306 + 302. Let x be ((0\/4)\/3)\/j. Let u = 9 - 5. Solve x*d = -d - u for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t**2 - 17*t**2 + 15*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -54, 20, 45.\nAnswer: -54, 20, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 117*s**2 + 8*s + 1. Let i(g) = -55*g. Give i(k(j)).\nAnswer: -6435*j**2 - 440*j - 55","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 34, -91022, 0, -4 in descending order.\nAnswer: 34, 0, -3, -4, -91022","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -8*i - 111. Let k be t(-13). Let z(g) be the second derivative of -g**3\/6 + g**2\/2 + 8*g. What is z(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1783 - -1139. Find the common denominator of -15\/8 and 276\/p + (-5)\/(5285\/(-138)).\nAnswer: 1208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 383 + 132)*(-2*p + 6*p - 3*p) to g*p + d and give g.\nAnswer: 516","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -3*x**3\/5 + 4914*x**2\/5 - 2012283*x\/5 = 0.\nAnswer: 0, 819","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/7 (b) 786 (c) 1 (d) 11\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204053 is divided by 41?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 0*v - 3*v - 2346 = 0, -4*v - 8 = 0. Suppose -2*n = -8*n + o. What is the units digit of n\/15*14\/(-4)*-3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22678\/(-69))\/(-29)*(-27)\/(-6)*26\/(-39).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 - 13. Suppose -3*g + g + x = 0. Suppose -50 + 15 = -g*y. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 7, -35 in increasing order.\nAnswer: -35, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + w**2 + w + 5. Calculate f(-4).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**17*b\/((b*(b\/(b\/(b\/((b\/(b\/(b**(-3\/4)*b)))\/b))))\/b*b)\/b)*b*b**(-2)\/b*b**21*b*b assuming b is positive.\nAnswer: b**(149\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -2\/7, 2.\nAnswer: -5, -1, -2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1064397472 to the power of 1\/3, to the nearest integer?\nAnswer: 1021","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 3*p**2 - 139*p - 788. Let r(x) = -x**3 + x**2 - 2*x + 2. Let y(n) = 3*r(n) - t(n). What is the derivative of y(c) wrt c?\nAnswer: -12*c**2 + 133","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-6) + (-12)\/9. Is x at most as big as 1\/67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17146839349 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -43 - -44.7. Let w = d - 1.9. Which is the nearest to 1\/3? (a) -1\/3 (b) w (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -279*y - 3174. What is n(-12)?\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17)*1*4 + 2*(sqrt(17) + sqrt(17)*1) - sqrt(17)*2*1*4)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t**2 + 0*t**2 - 4*t**2 - 14*t**2 + 11*t**2.\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1678181 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a hour in seconds?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -p - 4*q, 4*p - 5 = -5*q - 2. Let m be (-18)\/p*4\/(-12)*1. Suppose -28 = -3*d - 4*f + 8, 0 = -2*f + 6. Solve m*i = -i + d for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 7:06 AM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 704051764 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -580 + 583. Let z = -2.4 + 2. Which is the second smallest value? (a) -2\/7 (b) z (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -82 - -81.7. Put 1\/3, 4, 0.3, z in decreasing order.\nAnswer: 4, 1\/3, 0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of 0*l - 4 + 1\/2*l**2. Let c(z) be the first derivative of z**2\/2 + 2. What is c(o(m))?\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 5*n + 20 = 0, 2*b - 2*n + 17 = -3*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**3 + 12768*a - 12768*a + 4*a**2 + 2338*a**4 + 205 + a**3 wrt a?\nAnswer: 56112*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a and 1 r when four letters picked without replacement from gyyygyggaaaggara.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -8, -142, -364, -674?\n\"Answer: -44*h**2 - 2*h + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117*t + 108*t = -427131. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 444\/53 and 157 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5819*n + 5816*n = 2*x + 5, 0 = 29*x - n - 61 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/5*(-4965)\/(-154908).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 84 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 68 and 18188?\nAnswer: 309196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23863 is divided by 310.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23995 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -t + 3, -3 = -2*t + 3. Suppose -4*n - 34 - 14 = f. What is the lowest common multiple of (2 + -6)\/2 - n and 3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - 1215.\nAnswer: -1215.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 15 = -5*r. Let h be (-2)\/(r\/(-4) - 1). Let v be h\/44 + 13\/11. Solve -a + 0 = v for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 320 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 90264420?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 1:29 PM?\nAnswer: 2:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 22 + -14 + -8 + 11.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1669*l + 8*l**2 - 4*l**2 - 1700*l.\nAnswer: 4*l**2 - 31*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.01 or -17496275?\nAnswer: -17496275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 1. Let s(m) = 3*m**2 + 8*m - 52. Let o be s(4). Suppose 2*j - 6*j + o = i. List the prime factors of j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -1819.\nAnswer: -9095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2806 and 506?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 129*d**2 - 252*d - 63. Give w(2).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q - 2561 = 2*i, -3*q - 3*i + 2*i = 1097. Let k = q - -370. Solve 0 = y + 2 + k for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + 37?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 58 divided by 29\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 968 - 481 - 357*g + 357*g - 487 - 4*g**3.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -p. Suppose -m = -p*m - 14. Let o be 2\/7 - 74\/m. Is o at most as big as -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of 5*f**6\/2 + 27*f**5\/4 - 13*f**4\/2 - 18*f**3 - 12*f**2 + 2*f. Factor o(l).\nAnswer: 3*(l - 1)*(l + 2)*(5*l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-252)\/(-21) - (-575)\/(-46))*(-2)\/(-13).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2\/7, -83.1, -1\/3 in descending order.\nAnswer: 2\/7, -1\/3, -5, -83.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.17 + -189.17. Let p = n - -188.000079. Round p to five dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3.1, 3, -2, -398145?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + r + 5. Let m be z(0). Solve 5*u = -m, -p - u = -3 + 4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*0.336.\nAnswer: 0.168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {v: 1, a: 3, c: 3, j: 7}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8706 to the power of 1\/2, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-3\/10)\/t*t**(1\/4)\/t*(t**0)**(2\/49))**(-3\/13))**(2\/19) assuming t is positive.\nAnswer: t**(63\/2470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -2, -0.1, -35?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*n + 140 = -43*n. What is the remainder when 108\/(-7)*n\/10 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, 5, 6 in ascending order.\nAnswer: 1, 2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-2*sqrt(35)\/(sqrt(5) - (sqrt(45) + sqrt(5))) - (1*(sqrt(252) - (sqrt(252) + 0 + sqrt(252))))**2).\nAnswer: -256 + 2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 5*p = 3 + 1, 10 = -u + p. Let v(i) = i**3 - 5*i**2 + 4*i + 2. Let s be v(4). Sort 0, s, u in descending order.\nAnswer: s, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z**3 - 11*z - 2*z**3 + 9*z to y*z**2 + x + v*z**3 + j*z and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 23, 42, 61, 80?\n\"Answer: 19*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*c**2*n**2*s + 36*c**2*n**2 + 279*c**2*s + 898*c*n**2 - 919*n*s wrt n.\nAnswer: 12*c**2*s + 72*c**2 + 1796*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, n: 3, x: 4, e: 1, d: 5}. Give prob of sequence qed.\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2931.4 - 2931. Let t = 4 + -3.94. What is the second smallest value in -0.2, t, x?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttgj when four letters picked without replacement from ttjttgttttjltgttjtt.\nAnswer: 13\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(-12)\/10*5. Let x(w) = 10*w**3 - 6*w**2 + 6. Let i be -3 + ((3 - 1)\/(146\/219) - -5). Let l(z) = -9*z**3 + 5*z**2 - 5. Determine i*x(s) + k*l(s).\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 260 or 267?\nAnswer: 260","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 14 + 4. Suppose y*p = 0, 5*p + 24 = -s + 5*s. Solve 6 = -3*x + s*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -208c55 - 2b?\nAnswer: -208c83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 - r - 2. Let q be t(-1). Suppose -l + 6*l = -2*v + 671, q = -4*l - v + 538. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33100 and 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**6\/y*y)**(3\/4))**(-1\/2) assuming y is positive.\nAnswer: y**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v**3 + 23*v**2 - 8*v - 1. Let x be i(11). What is the greatest common factor of 224 and x?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-84)\/120*205\/(-35)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44364195?\nAnswer: 3, 5, 985871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1270 divided by -45.\nAnswer: 254\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2892844 times 0.3?\nAnswer: -867853.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - -21004241402?\nAnswer: 21004241403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 386926 and 0.0734.\nAnswer: 386926.0734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 268 - 252. What is the remainder when 382 is divided by g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - 3970\/(2\/(-1)). Suppose 3*u + 3178 = -674. Let g = u + q. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -20, -4*l - 244 = -2*p - 0*l. Is 12 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -30*p**2 + 3*p - 3. Let i(l) = -61*l**2 + 7*l - 7. Let s(x) = 7*f(x) - 3*i(x). Let r(h) = 5*h. Calculate r(s(z)).\nAnswer: -135*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 74, 2\/11, -0.1?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 44921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(3\/5 + (-88)\/55). Let w = 1 - x. Factor -y**3 + y**2 - 5*y**4 + w + 6*y**4 - 4*y**2 + y.\nAnswer: (y - 2)*(y - 1)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118660056.\nAnswer: 2, 3, 4944169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.56925 + -1976.\nAnswer: -1980.56925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -67 - -70. What is the second smallest value in i, -0.5, 0.18?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136)\/(1*sqrt(256)))\/(3*(sqrt(2) - (sqrt(2) + (sqrt(2) - sqrt(8))*-1))))**2*4.\nAnswer: 17\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y**3 + 28*y**2 + 111*y - 66. Is 30 a factor of u(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 112 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 39224, 39037, 38850, 38663, 38476?\n\"Answer: -187*x + 39411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -149*p**5\/5 - p**4 + p**3\/3 - 87*p + 1315. Find the third derivative of q(k) wrt k.\nAnswer: -3576*k - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1530\/270)\/(1\/2238). Is o at most 12682?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*d = -55*d + 894 - 82 + 926 for d.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (107*x**2 + 138*x**2 - 10*x**2)*(0 - 1 - 1)*(14 - 9 + 7) to g*x**2 + z*x + b and give g.\nAnswer: -5640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1412?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d\/(d\/(d**(2\/7)\/d)*d))\/d*d**6)\/(d**0)**10 assuming d is positive.\nAnswer: d**(37\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 375 = 2*b - 3*v, 190 = b - 2*v - 0*v. Solve -172*m = -b*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 28 = -4*l, 1912*l - 1911*l - 3*w = 10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 3*m = -26 + 11, -5*t - 4*m + 24 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xqq when three letters picked without replacement from {p: 5, e: 1, q: 2, x: 2, f: 1, b: 5}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 + 60. Let j = -35 + d. Suppose 0 = 2*a + 5 + 3, a + 186 = j*c. Does 15 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7612 = 542*l - 102*l - 59972 for l.\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 315 + -186. List the prime factors of f.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3112.\nAnswer: 2, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*v**5\/9 - 418798*v**4\/9 - 1461165220*v**3\/3 + 3021055676*v**2 - 4970821050*v + 877218498 = 0.\nAnswer: -20943, 1\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 1\/375672401?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**3*(r\/(r*r**(-5\/3)))\/r)\/((r\/(r*r**(-3\/5)*r*r))\/(r**9*r*r)))**(24\/7) assuming r is positive.\nAnswer: r**(1928\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 528 divide 1893836?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -148 - -147.2. Let m = -0.27 + -0.03. What is the nearest to 3\/2 in m, -0.1, b?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 11*a**2 + 13*a**2 - 63*a**2 - 18*a**2 to the form s + l*a + x*a**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1010011000111 (base 2) to base 13\nAnswer: -2562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 16.9251 - -791.76\nAnswer: 808.6851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (225\/(-45))\/((-10)\/6)*12\/(-45).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2193, 8655, 19429, 34515, 53913, 77623?\nAnswer: 105645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -913480\/16653 - 8\/2379. Let t = n + 1180\/21. Factor 2*c - t*c**2 + 0 - 2\/3*c**3.\nAnswer: -2*c*(c - 1)*(c + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*j + 1)*(2 + 0 + 1) + 125*j - 186*j - 65*j.\nAnswer: -120*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/21 greater than -0.88?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -5*t**2. Let d(v) be the second derivative of -2*v + 0*v**2 + 0*v**3 - 1\/12*v**4 + 0. Give d(x(m)).\nAnswer: -25*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*c + 244 + 316. What is the highest common divisor of c and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, 0, 658, 8\/3, -5, -3 in descending order.\nAnswer: 658, 8\/3, 2\/13, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/8, -1\/4, -2?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000060684 to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -750958 and -11092.\nAnswer: -762050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 52 = -s + 68, -4*w + 26 = 2*s for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 4*k - 595, 7*k - 4*k = 2*w - 238. What is the greatest common divisor of 14 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (7\/4)\/((-3)\/48). Let c = o - -31. Suppose 2*a - d = -2*a + 1342, -c*a + 995 = 5*d. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 18*y**2 - 3*y - 2. Let f be h(-1). Let i = f - -5. Calculate the remainder when 71 is divided by i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2494\/9375 or 1?\nAnswer: 2494\/9375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*i + 401 = 131. Calculate the remainder when 122 is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*w - 5*s, 2*w + 2 = -3*s - 2. Is (w\/5)\/(12\/(-728430)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -66 (b) -0.9 (c) 3\/107\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.3, 261\/4, 4, 0, -4 in ascending order.\nAnswer: -4, -2, -0.3, 0, 4, 261\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2035257736 to the nearest integer?\nAnswer: 45114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -18394, -18180, -17824, -17326, -16686, -15904?\n\"Answer: 71*c**2 + c - 18466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39 + 40 + 35*s - 13*s)*(2 - 2 - 4)*(5*s**2 + 2*s**4 - 5*s**2).\nAnswer: -176*s**5 - 8*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/21 of a week in minutes?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -264*t + 4*l - 1020 = -39*t + 30*t, -2*l + 8 = t - 3*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 7}. What is prob of picking 4 h?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -94.6, -3?\nAnswer: -94.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z - 8. Let i(g) = -4. Let j = 173 - 175. Give j*r(q) + 5*i(q).\nAnswer: -2*q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.037212488 to 4 decimal places.\nAnswer: -0.0372","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8905?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38023 is divided by 12585.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -55\/2 - -27. What is the common denominator of q and 53\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of y**7\/210 - y**5\/40 - 2*y**3\/3 - 5*y**2. Let m(c) be the first derivative of l(c). Find the second derivative of m(b) wrt b.\nAnswer: 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 179943930 and 239925240.\nAnswer: 719775720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**18*g)\/g**24*g**26*g**(-1\/2) assuming g is positive.\nAnswer: g**(41\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 AM and 3:41 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t**3 - 20*t**2 + 25*t + 32. Let i be a(-11). What is the nearest to i in -3, 2\/5, 6\/5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 7 = -2*g, -4*s - 7 = 5*g - 8*g. Calculate the remainder when 76 is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccecceeccee. Give prob of picking 1 c and 1 e.\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 20 = 3*c. Let f be 12\/15*5\/2. Let s(o) = 0*o**2 + 3*o**f + c*o + 4 + 0*o**2 - 4*o**2. What is s(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + sqrt(22)\/(sqrt(22)\/sqrt(2)) - ((-2*sqrt(22))\/sqrt(11))**2.\nAnswer: -8 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + 0*n - 3 + 2*n**2 + 0*n - 5*n. Let h(w) = w + 1. Let f be (-6)\/4*2\/(-3). Determine f*i(q) + 5*h(q).\nAnswer: q**3 + 2*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2474558 is divided by 1628?\nAnswer: 1626","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + (-2)\/(-6))\/((-203)\/335037). Let p = 551 + s. Which is the smallest value? (a) 4 (b) p (c) -1 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, s: 2}. Give prob of sequence zs.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1565*-3\nAnswer: -4695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of 14*d**4\/3 - 2*d**3\/3 - d**2 + 3869*d. Let l(q) = 4*q. Give l(b(r)).\nAnswer: 224*r**2 - 16*r - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2693 is divided by 1196.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*m**3 - 47093 + 23547 + 23546.\nAnswer: -14*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x**3 - 4*x**2 + 8*x + 1. Determine n(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 268 = 4*k, 2*d - 9 = 5*d. Suppose y + 4*y = k. Solve -4*j = -5*o + 2, 3*j + 2*o + 2*o = y for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/13)\/(y**(-2\/13)\/y*y))\/(y**(-7)*(y*y**(-5))\/y) assuming y is positive.\nAnswer: y**(160\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.53 in 0.5, 4\/83, 5?\nAnswer: 4\/83","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2, 15, 30, 47?\n\"Answer: c**2 + 10*c - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 46711*r**3 - 40*r**2 - 658*r**2 - 45679*r**3 wrt r?\nAnswer: 6192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -57000 to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 36 + 33. Calculate the remainder when 1\/1 + 0 + 88 is divided by d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 3*l**2 + l - 6. Let u be y(-4). Let r be (20\/u)\/(32\/(-48)). Let a(f) = 5*f + 30. Let x be a(r). Solve k = x*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 38 in -1, 7851, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 6*h**2 - 68*h - 4. Let p(y) = -3*y**2 + 34*y + 2. What is 9*p(q) + 4*s(q)?\nAnswer: -3*q**2 + 34*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 480*w**2\/7 + 56649*w\/7 + 1062\/7 = 0.\nAnswer: -118, -3\/160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 185851?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by 44.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-20)\/(-6))\/((-74)\/1887). Find the common denominator of 27\/22 and 5 + 8\/((-50)\/s*-1).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21714561793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -19*a**3 + 2*a - 2. What is j(1)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 415303?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f**3*p**3 - 2390*f**3*p + 113*f**2*p**3 + 212*p**3 + 5*p**2 wrt p.\nAnswer: 6*f**3 + 678*f**2 + 1272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18.27326ml to litres.\nAnswer: 0.01827326","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + j = -10. Let b(l) = 4*l**3 - 3*l**3 - 7*l + 5*l + 1 - 4. Determine b(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 120276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*j + 90 = -12*j + 17*d - 20*d, -d - 46 = 11*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 30, 25, 8, -27, -86, -175, -300?\n\"Answer: -v**3 + 2*v + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -276 + 429. What is the remainder when p is divided by 47?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70, 568, 1920, 4552, 8890, 15360, 24388?\nAnswer: 36400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -248*j**3*m**2 + 3*j**3*m - 11*j**2 + 5*j + 737*m**2 - 50 wrt m?\nAnswer: -496*j**3 + 1474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.1 (b) -1 (c) 1\/5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 9103, 6745, 4387, 2029, -329?\n\"Answer: -2358*f + 11461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 116009 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, -5, 0.05, -2\/3, -0.6?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -663242 by -2.\nAnswer: 331621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -67.817101 to one decimal place.\nAnswer: -67.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4710 - 6771. Let i be ((-18)\/15)\/(-3 - p\/690). Calculate the highest common factor of i and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -7399?\nAnswer: -22197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -20 - 0. Let q = 9 - x. Let k = q + 0. Is 3 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 7*p - 60. Let r be 8\/p*10\/4. Let k = r - 1. Solve 5*v = -2*m, k = 4*m + 4 - 24 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**3 + 30700989*a**2 + 78545939849640*a + 235637543240100.\nAnswer: 3*(a + 3)*(a + 5116830)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13*-1*9*(-13)\/(-117).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5181 to the power of 1\/2, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2531212 - 0?\nAnswer: 2531212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 161911358?\nAnswer: 2, 7, 11565097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(3) - (0 + sqrt(3) + 1) - sqrt(12)\/sqrt(36)) + -4*(-4 + (1 + sqrt(363))**2).\nAnswer: -1439 - 265*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(((2 + sqrt(19))*1 - -1*sqrt(2736) - ((-2*sqrt(2736) - sqrt(19)) + sqrt(1425)\/sqrt(3))) + -5))**2.\nAnswer: -4950*sqrt(19) + 517500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-7)*q)\/q**(-27)*(q\/q**(-2\/11))\/(q**(-1\/25)*q) assuming q is positive.\nAnswer: q**(6111\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + -2 - (54 + -3 + -24).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -119343306*n*z**2 + 75948036*z**2 wrt n.\nAnswer: -119343306*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 36029 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 138 divided by 3057.\nAnswer: 46\/1019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 135 + -77. Suppose -3*t + 3*x + 1004 = -v, t + 3*x - 350 = 0. Let s = -163 + t. Round s to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of j**7\/630 - j**5\/120 - j**4\/4 + j. Let k(b) be the third derivative of r(b). Differentiate k(n) with respect to n.\nAnswer: 8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - y**2 - 68*y - 2901. Determine i(-13).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 187466 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-54)\/351 + (3 - (-435)\/(-130)). Which is the closest to -1? (a) r (b) 2\/11 (c) -0.4 (d) 0.36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 111122?\nAnswer: 111202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 30 = 40 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20324925?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-6)*((-26)\/(-195))\/(4\/(-6))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, n: 1, s: 1, u: 4, p: 3, x: 2}. Give prob of sequence uxs.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55826 is divided by 55747?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 303985 is divided by 475.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*n)*(-1 + 2*n + 1) + (-8*n + 7*n + 2*n)*(-10 + 10 + 10*n) - 2*n**2 - n**2 + 4*n**2.\nAnswer: 7*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w**3\/3 - 3053*w**2\/3 + 2033*w + 3051 = 0. Calculate w.\nAnswer: -1, 3, 3051","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6 + 77822\/5 + (-2)\/5. Let v = -10681 + g. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence grp when three letters picked without replacement from {k: 3, r: 1, s: 2, p: 5, e: 1, g: 1}.\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 14652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 2*h + 23 = 0, 3*p - 15 - 12 = -3*h for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4676354 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(9)\/(sqrt(12)\/sqrt(4)*-3).\nAnswer: 4*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c*c**(-2\/7)*c)**(-4\/7))**(-19))**(-8\/5))**(-28) assuming c is positive.\nAnswer: c**(29184\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 12 times 0.3\nAnswer: 3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 458 is divided by 78.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -8*n - 86. Put 1, -3, -4, n in decreasing order.\nAnswer: 1, -3, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 272 - 274. Put -16, z, -5 in decreasing order.\nAnswer: z, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a**0))\/(a\/(a\/a**(-1\/60))))\/(a**(4\/15)\/a*a**(-13\/5)) assuming a is positive.\nAnswer: a**(67\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - q - 2. Let v be a(3). Suppose 5*m - 4*p + 8 = 0, -2*p + 4*p = -m + 4. Let d(b) = -1 - 1 + 5*b**2 + 0*b**2 + m*b**3 - b**3 - b. Determine d(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 57*l**2 + 57*l + 110. Calculate the remainder when 198 is divided by n(58).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 30 - 70?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06734824513283 minus 5?\nAnswer: -4.93265175486717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -593\/5 + 119. Let x = 12 + 6. Let q be 3\/2*4\/x. Are r and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -83400 to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 627 + -346. Suppose 2*n - u = 5*c, -c = n - 4*n + 415. Is 11 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 - 3*q + 15. Let x be d(-5). Let g = 0.03 - -2.97. Let y = -2.8 + g. Which is the closest to y? (a) -0.1 (b) -1\/9 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47 + 1 - 2 - (141 - 145)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*-2*(-1)\/(-1). Suppose 6*q - 2*q = a - w, 0 = a + 2*q. Suppose -5*k + 4*h = -34, -30*k - 5*h - 36 = -33*k. Is k < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*f + 10881 = 9231 for f.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*p**4 - 247 + 247 + (2*p**3 - 2*p**3 + 3*p**3)*(-3 + 3 - p) + 2*p**4 - 3*p**4 - 2*p**4 to the form h + g*p**3 + q*p + z*p**4 + v*p**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3310 + 778 + 737 - 2*z**3 + 1021 + 774.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 83091 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3037854.\nAnswer: 2, 3, 41, 53, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -902 + -371?\nAnswer: -1273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -64, 0, 32, 4, 3, -5, -230 in decreasing order.\nAnswer: 32, 4, 3, 0, -5, -64, -230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 0.2 (c) 26.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 1. Let i(q) = q + 4. Let u = -5 + 7. Suppose 0 = 3*b + 4*j - 5, -u*j + 4*j = 2*b - 8. Determine b*m(t) - i(t).\nAnswer: -t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 7:33 PM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9204934?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-15))\/(3\/(-30))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 + 17*s - 8. Let d(l) = -2*l**2 - 18*l + 7. Let v(j) = 3*a(j) + 2*d(j). Is v(7) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 4:36 AM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16248 + -16245. Which is smaller: 384\/175 or k?\nAnswer: 384\/175","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 5*m + 6. Let x be y(5). Suppose -g + 74 = x. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -15 + 11*g + 5 + 8. Let h = 47 - 44. What is i(h)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 552*o**3 + 14*o**2?\nAnswer: 3312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -28 + 101 + -30 + -51\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vm when two letters picked without replacement from evvmmvmmevvmeevvmem.\nAnswer: 49\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-5)*a*a\/(a*a**(3\/7)*a))**49)**14 assuming a is positive.\nAnswer: a**3822","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21024?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -1 + 28. Let v(d) = 26*d**2 - d. Let a be v(1). Let r = a - y. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + r = 5*i - 38, r = -4. Let b(c) = c**2 + 7. Let m be b(i). Suppose 16 = 2*s + a, -m = -2*s - 4*a - 15. Solve -o = o - s for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 2*i + 6, -21*c - 3*i + 26 = -19*c. Let g(f) = -19*f - 27. Let p(x) = 11*x + 14. Let u(h) = c*p(h) + 4*g(h). Give u(13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/(-65))\/(((-1)\/(-4))\/(27\/72*-6))\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 3 - 3*m - m + 12 + 5*m. Suppose 2 = 3*v + l, 0 = -3*v - 4*l + l + 6. Give f(v).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1012 and 415784501.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 35\/83, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -18659944 divided by -2\nAnswer: 9329972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 7*s**2 - 7*s**2 - 2*s**4 - 4 + 53*s + 6 + s**3 - 2*s**2 as j*s**3 + y*s + z + f*s**4 + p*s**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 93 = -3*j, -3*c = -4*j - 25 - 71. Let q = 60 - c. Let l(a) = a**2 + 8. Let b be l(0). What is the highest common divisor of b and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.4 + -10.4. Let p = -769407 - -769416.00026. Let y = t + p. What is y rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*n = 2*n + 264. Let k(o) be the first derivative of -2*o**2 + 2. Give k(n).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/200 and -13\/2620.\nAnswer: 26200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5475727\/5 - 1095083. Factor t*l**2 + 3\/5 - 162\/5*l.\nAnswer: 3*(2*l - 1)*(52*l - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2+101041557201\nAnswer: 101041557203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7400 and 1900.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -130 + 170. Suppose -21*m + 16*m = -g. Solve 13*j = m*j - 25 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5010 divided by 338?\nAnswer: 2505\/169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 3)*-1*(126900\/2150 + -59)?\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of -8\/7*a + 4 - 2\/21*a**3 - 5\/7*a**2. Let v(y) = 0. What is y?\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 515518383 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: Solve -12*d - 1545 = -1077 for d.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 91?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - 18336?\nAnswer: -18331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -5. Suppose n = 3*n - m*a - 4, -3*n + 6 = 2*a. What is the third derivative of -6*w**6 + 14*w**2 - n*w**3 - 12*w**2 + 2*w**3 wrt w?\nAnswer: -720*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 750 divided by 3.\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y**3 - y**2 - 15*y - 5. What is f(-3)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/28376720 and -131\/17026032.\nAnswer: 85130160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.067 - -27.067. Let u = 2382285052.99999934 + -2382285026. Let l = s - u. Round l to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37 + -91. Let j = b + 92. Let d(x) = x + 21. Calculate the remainder when j is divided by d(-11).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-45)\/30)\/((-6)\/(-4)))\/(55\/(-60)).\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8706.882 litres to millilitres.\nAnswer: 8706882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-5637)\/(-7516)*(-72)\/2\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21? (a) 4 (b) 5492 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3649707 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 860006?\nAnswer: 2, 7, 47, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 - -21. Let x(d) = d**m + 2 - 12 + 8 + d. Determine x(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -477372, -477369, -477366, -477363, -477360?\nAnswer: -477357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2072 = 25*u - 53*u. Calculate the remainder when u is divided by 64.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -0.049 (b) -4 (c) 1 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.25 and 23304.2116.\nAnswer: 23304.4616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -500, -2187, -5390, -10427, -17616, -27275, -39722, -55275?\n\"Answer: -53*t**3 - 440*t**2 + 4*t - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -52802964.\nAnswer: -1\/17600988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 1 - 13. Let l be (-88)\/(-20) - j\/(-10). Suppose 0 = l*x - 20, 3*x - 13 = -h + x. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vi when two letters picked without replacement from {v: 1, f: 1, i: 1, j: 2}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -21*a**2 - a + 10. Let x be n(-8). Let z = -753 - x. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4 + (-3690)\/(-27))*(-66)\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1 - (-153)\/(-6)*-22.\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -9*t + 16. Let z(s) = -7*s + 15. What is -6*o(h) + 7*z(h)?\nAnswer: 5*h + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*w - 187*w + 45 = -3*u, 0 = -5*w + 3*u + 15 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 12*g**2 - 11*g. Let j be i(11). Suppose j*x + q = -4*x + 41, 2*q = -6. List the prime factors of x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-48)*9)\/(27\/288).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(13) + (sqrt(13) - (sqrt(1573) - (sqrt(1573)*-1)**2)) + sqrt(13)).\nAnswer: -4719 + 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7639 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(112) - (sqrt(112) + (sqrt(112) - (sqrt(112) + 4)) + 4 + sqrt(112)) - (sqrt(112)*-1 + 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1089818609 to 3 dps.\nAnswer: 0.109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -26c989 (base 13) in base 6?\nAnswer: -32104514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -10*q**5\/9 - 58*q**4\/9 - 98*q**3\/9 - 38*q**2\/9 + 4*q\/3 = 0.\nAnswer: -3, -2, -1, 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/9*(-34)\/((-340)\/15).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 - 7*g**2 - 5*g**2)*(3*g**2 - g**2 - g**2) + (2*g + 2 - 2)*(-g**3 + 2*g**3 + g**3).\nAnswer: -7*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 + 6*i**2 + 3*i + 1. Suppose o - 16 = 14. Suppose 6*l - l = o. Calculate the lowest common multiple of g(-5) and l.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43\/((-8)\/(-24*5)) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-34) - (-25899)\/(-93993).\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47 + -11. Let u be 188\/q - 4\/18. What is the second derivative of -o**u + 3*o**5 + 2*o + 0*o wrt o?\nAnswer: 40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1097 + 1095. Which is the fourth smallest value? (a) 1 (b) -14\/3 (c) 1.1 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237 not equal to 237?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 322847451182911 - -1\nAnswer: 322847451182912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 38\/247 - (-9508)\/52. Calculate the highest common factor of t and 122.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = c + 5*i, 0 = -0*c - 5*c + 3*i + 32. What is the second derivative of 142 - 118*d**c + 38*d**4 - 159 + 2*d wrt d?\nAnswer: -960*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from iiiaaqiiaiiia?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + -7 + 606\/101.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of -14 + 1\/6*i**3 - 3\/2*i**2 + i. Let f = 5 + -2. Determine q(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**(-1)*v*v)*v)\/v)**17*(((v**0*v*v)\/v)\/v)**(-35)*((v\/((v**(-1)*v)\/v))**(1\/12))**(-1\/9) assuming v is positive.\nAnswer: v**(-1\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13131?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 14, -1928, -1, 3.\nAnswer: -1928, -5, -1, 0, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 428797550.\nAnswer: 2, 5, 89, 167, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 515792 to the nearest integer?\nAnswer: 718","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1221556102 to the power of 1\/2, to the nearest integer?\nAnswer: 34951","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -4, -1\/3, -1\/6, 3 in decreasing order.\nAnswer: 3, 3\/5, -1\/6, -1\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k + 1. Let d be m(-5). Is -4 >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*((-646)\/133 + 4)?\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5671 - 3097. What is the hundreds digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o + 6. Let s be w(4). Suppose 10 = -b + s*b. Is b a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 55*r + 137. What is c(-2)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 + 6*d**2 + 6*d + 10. Suppose 5*n - 47 + 12 = 0. Calculate b(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 603257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*h + 18*h = 42 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 3. Suppose 3*n - 3*i = x*n + 11, -4*i + 16 = 0. Is n a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 - 30. Let p = h + 10. Let b = p + 6.5. Sort 0, b, -0.2 in decreasing order.\nAnswer: b, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -347736.42 and -0.44?\nAnswer: 347735.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 63023561 to the power of 1\/2, to the nearest integer?\nAnswer: 7939","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3613489.\nAnswer: 11, 89, 3691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -230.2 - 6455679?\nAnswer: -6455909.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11672 = 5*i - 11622 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/5 + (-24)\/90.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 7:24 PM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 51.7 + -3.7. Let v = t - 48.4. Suppose -4*k = -y - 14, -5*y - 5*k - 19 = 26. What is the second smallest value in 0.1, v, y?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 4*a - 53 = -3, -3*p - 138*a + 81 = -141*a for p.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f**6 - 8670409*f**5 - 53130760*f**2 wrt f.\nAnswer: 120*f**3 - 520224540*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**3 - 2*p**2 + 2*p**2)*(-71 + 7 - p + 27).\nAnswer: -2*p**4 - 74*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 4*k = z + 409, 2*z = 2*k - 200. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/2 - 420*a + 88200.\nAnswer: (a - 420)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*b**3 - 2908 + 2908.\nAnswer: 10*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 - 2)\/(1\/5). Suppose 3 = c*s - 2. Let j = -51 - -59. Calculate the highest common factor of s and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k**2 + 3*k + 4. Let j be n(-2). Let t = 2 + j. What is the least common multiple of t and 11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9 + 6 - -3) + -6 - -2) + -2\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 AM and 3:05 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/17, 14, -0.3, 8, 2 in decreasing order.\nAnswer: 14, 8, 2, 2\/17, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-19))**(19\/5)*i**(2\/27)*i*i*((i\/i**(-11)*i)\/i)\/i)**41 assuming i is positive.\nAnswer: i**(-327262\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 9924 = -g + 60070, 3*g = 3*w + 150438. Suppose 0 = 2*n + g - 6050146. Suppose 8*u - n = 7*u. Round u to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + 64*g**2 + 159*g - 13770. Give f(-57).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0)*(-2 + 4 - 3)*(1 - 2*l**5 - 1 + (0*l**4 + l**4 - 2*l**4)*(-4 + 2*l + 4) + 12*l**5 - 4*l**2 + 4*l**2).\nAnswer: 16*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 67.9 and -0.39462?\nAnswer: -26.794698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10\/1857 - -45257\/12999. Calculate the common denominator of t and -103\/2058.\nAnswer: 2058","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 147367 (base 8) in base 2?\nAnswer: 1100111011110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 535*a - 6 + 2 - 5.\nAnswer: 535*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10\/10 - -3) + 408\/42. Which is the third smallest value? (a) 1\/4 (b) 1.7 (c) j (d) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3800 + -3770. Solve -30 = -w*h + 20*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 200\/3 + -68. Suppose 0*b - 4*b - 8 = 0. Let i = -4 + 7. What is the closest to 1 in i, b, z?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -534600 (base 7) in base 13?\nAnswer: -33396","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -11*j + 142. Let n be d(13). What is the third smallest value in -4, -0.4, n, 34?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 58 + -62. Let i(b) = -3*b**3 + 4*b**2 + 4*b + 4. Let f(y) = 2*y**3 - 3*y**2 - 3*y - 3. Determine o*f(c) - 3*i(c).\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3464507 to the power of 1\/3, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2060*h**2*i**2 + 14311907*h**2*i + 2430*i**2 wrt i?\nAnswer: -4120*h**2 + 4860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 16 = -1. Let v = i - -2. Suppose -135 = -4*d - v. List the prime factors of d.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01295089 to four decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7616 a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -232, -226, -232, -256, -304, -382, -496?\n\"Answer: -g**3 + 13*g - 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/21 + 27720136*o\/7 + 288152227446936\/7.\nAnswer: 2*(o + 20790102)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 4*m**2 - 2*m + 1. Let y be q(1). Suppose y*p - 11 - 25 = 0. Suppose -l = -p - 8. Solve -l = -10*n + 5*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 + -17. Is (-2)\/b - (-2125)\/20 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 7:04 PM?\nAnswer: 4:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -591 (base 13) to base 14.\nAnswer: -4cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - (-12 - -18 - -1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01263 times 5?\nAnswer: -0.06315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2722 = -5*z + c, 10*c - 1267 = -5*z + 1488. Calculate the remainder when z is divided by 269.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b**3 - 339*b**2 + 14244 - 61*b**2 - 4508 - 1137*b - 8451*b + 11072 = 0. What is b?\nAnswer: -51, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yty when three letters picked without replacement from {s: 5, t: 1, h: 1, b: 1, y: 3, o: 2}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102809?\nAnswer: 7, 19, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-6)*(5 + -2). Let n = k + 4. Solve 3 = 5*f + 3*s - 29, f + n*s - 16 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 564392483 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 25 = -4*s, -258 = 7*w + 2*w - 232*s + 229*s for w.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-2))\/(9758\/1088 + (4 - 13)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*s**4 + 16934*s**3 - 103978*s**2 + 11216*s + 33720 = 0. Calculate s.\nAnswer: -1\/2, 2\/3, 6, 1405","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z - 2. Let v be m(3). Suppose -3*c + 2*p + 11 = 0, c + 3*p = -2*c + 6. Let n = c - v. Calculate the remainder when 14 is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 + 15*v**2 - 27*v - 343. Calculate k(-5).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 200532953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2068 divided by 4277?\nAnswer: -44\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j - 194 + 164 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.01 in -4, -2\/763, -1\/3?\nAnswer: -2\/763","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1282 is divided by 1280.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000033542555 to seven dps.\nAnswer: -0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1771478 minus 1912.643?\nAnswer: -1773390.643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of 107*v**4\/12 + 23*v**3\/6 - 37*v**2. Is r(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 422524 to the power of 1\/2, to the nearest integer?\nAnswer: 650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -23\/8*r - 1\/8*r**3 - 15\/8 - 9\/8*r**2.\nAnswer: -(r + 1)*(r + 3)*(r + 5)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/7? (a) 3\/8 (b) 0.3 (c) 5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, y: 4, l: 6, m: 1, g: 7}. Give prob of sequence ggm.\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -268*d**2 + 827*d**2 - 287*d**2 - 270*d**2.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 61937 and 160368?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*l - 408*l**2 + 144*l**2 + 6*l in the form g*l**2 + h*l + k and give g.\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 7.28. Let l = 0.1 + -0.38. Let a = l + v. What is the third smallest value in 1\/6, a, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3*f = 651, -8*m + 13*m = 4*f + 815. Is m at most as big as 153?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 311 a factor of 18169934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 793 divided by -123526\nAnswer: -61\/9502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 36958220 greater than or equal to 36958220?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102000121210211 + 1?\nAnswer: 102000121210212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2. Let i(u) = -6*u**2 + 2*u - 3. Let k(d) = -i(d) - 5*z(d). Let w be k(2). Sort 2\/3, w, 5 in ascending order.\nAnswer: 2\/3, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14842.\nAnswer: 2, 41, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-149695)\/3185 - 96\/(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f**3 - 888*f**2 - 899*f + 4155. Calculate w(445).\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2300411 + -1?\nAnswer: -2300412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5591? (a) 0.1 (b) -2\/3 (c) -49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -3. Suppose -5*j = -0*x - 3*x + 16, 3*j + 2 = -d*x. Let o be (-4 + 2\/x)\/7. Sort 1\/2, -2, o in descending order.\nAnswer: 1\/2, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k - 38. Let w be y(14). Let h = -29 - w. What is the remainder when h is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 994 a factor of 3542616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*i**5 - 428*i**3 - 7346*i**2 wrt i?\nAnswer: -600*i**2 - 2568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12*(-24)\/(-192))\/((-3)\/4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -4330 and -0.3037 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -129 + (6 - (5 + (-1 - 13) - -2) - 4).\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {p: 3, z: 3, u: 2}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 62411776 and 1376?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.7 - 1. Let k = 0.4 + -1.4. What is the second biggest value in z, -2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-8))\/(2\/(-16)). Suppose 19*y = -11*y + 120. Suppose 2*u - 13 = -3*m, 2*u = -y*m + 35 - 19. Solve v = i*v - m for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32 - -20. Calculate the lowest common multiple of 6 and (-44)\/(-3)*y\/(-8).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 7 (c) 0.19 (d) 2 (e) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 6 = m, 2*n + 3*m = 4*n - 16. Suppose -4*q = -2*q - 2*p - 336, -n*q = -3*p - 340. List the prime factors of q\/14 - (-4)\/14.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 1. Let g = p - -9. Suppose -23 = -9*k + g*k + 4*a, 2*a = k - 7. Which is smaller: 2 or k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -3. Let n = -4 + p. Let h = 37 + -36.7. What is the smallest value in -1\/4, h, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36132.\nAnswer: 2, 3, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1277\/5 + 15529\/60. Let n = 26927252 + -592209821\/22. Let d = -8620 + n. Calculate the common denominator of d and g.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2 - 9924348*a + 12311585403138.\nAnswer: 2*(a - 2481087)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 4. Let d = -977 + 988. Suppose 10*s - d - 9 = 0. Solve -s*c = -4*c - q for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -516 times -3?\nAnswer: 1548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -153 - (-124 + (65 - 24)).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 0*f = 0. Let t = -2.94 - 0.06. Is t at most f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -415, -171.5 in descending order.\nAnswer: 6, -171.5, -415","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirteen fifths of a centimeter?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v**2 + 68*v. Let g(l) = 5*l + 204. Determine m(g(c)).\nAnswer: -50*c**2 - 3740*c - 69360","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 230 and 2875.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -103*m + 24889. Is n(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -234 + 248. Suppose 4*x - f*x = -90. Let h(y) = -y**2 + 6*y + 1. Let d be h(3). Solve x*p = 4*p - d for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100122212110 (base 3) to base 12.\nAnswer: 92079","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -97164 divided by 9?\nAnswer: -10796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 + 11 - 23) + (22 - -3)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8 - -2) + -16 + 16. Let j(m) = -m - 1. Let f(b) = b - 6. Calculate s*j(r) + f(r).\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 4*a**2 - 43*a - 9. Let w be h(11). Suppose -k = -4*v + 133, 0*v - 2*v = w*k - 74. What is the remainder when 64 is divided by v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22143.\nAnswer: 3, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -22, -51, -92, -145, -210, -287?\nAnswer: -376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/2419646 and -34\/6861.\nAnswer: 7258938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - a + 1. Let n(v) = -6*v**2 - 5*v + 5. Let k(c) = -10*j(c) + 2*n(c). Let y(z) = 5*z**2 - 2*z**2 - z**2. Determine y(k(p)).\nAnswer: 8*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 65\/21 + -1 + (-285)\/(-315). Let d(r) = -4*r + 3. Let y(v) be the second derivative of 1\/6*v**3 + 2*v + 0 - 1\/2*v**2. Give m*y(b) + d(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 2:21 PM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 196.\nAnswer: -980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + h**3 + 0)*(2*h - 4*h - 22 + 4*h).\nAnswer: 2*h**4 - 22*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 5 - 3. Let q(a) = -a - 1. Let k be q(-4). Suppose 0 = -i*r + 2*v + 102, 4*r = r - k*v + 141. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide ((-91)\/(-28))\/(2\/32)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -32, 3, 3\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 70 = 2*l, -4*l = -0*l + 5*a - 95. Is l a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 169 or 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3182690979?\nAnswer: 3, 13, 509, 4111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffffff. What is prob of sequence fff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.91 + 7. Let q = -0.19 + d. Put -1\/3, q, 1 in increasing order.\nAnswer: -1\/3, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (60\/1080)\/((-3)\/(-2))\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29995319 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 315?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 11) in base 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a millennium in months?\nAnswer: 43200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*((-28)\/(-88) + 6\/33).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -4*c - 3 + 14, 2*c - 12 = 4*a. Suppose -6*n + 4*x + 188 = -c*n, 485 = 5*n - 5*x. Does 25 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 3*y - 10 = 0. Suppose -2*n + 8 = y*x - 36, -3*n + 28 = x. Suppose 0 = 12*u - 61*u + 1862. Calculate the greatest common divisor of x and u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -679*r**4 + 902*r**2 - 3 wrt r.\nAnswer: -16296*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1660 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of f**3\/3 + f**2 + 2*f + 1. Suppose 13*s + 21 = -5. Give h(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6d4 (base 16) in base 14?\nAnswer: 8cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20*c**2*s**2*v + 88*c**2*s**2 - 60*c**2*s + 84*s**2*v + 2*v with respect to v.\nAnswer: -20*c**2*s**2 + 84*s**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/3942 and 55\/54.\nAnswer: 3942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 38, -1, 5, 1.\nAnswer: -23, -1, 1, 5, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 5*i**2 - 6*i. Let p be w(-4). Let n(y) = 2*y**3 - 2*y**2 + 4*y. Let g(u) = 5*u**3 - 6*u**2 + 11*u. What is p*n(l) - 3*g(l)?\nAnswer: l**3 + 2*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + 10*q**2 - 3*q - 6. Let s be n(-8). Suppose 0 = -z + 3*o - 6*o + s, -2*z + 299 = -o. Suppose -359 = -4*t + z. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 4*o = o + 20, -3*t = -o - 4. Solve 0 = -3*m + 2*i - i + 17, 3*m + 4*i - 7 = t for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -117*x**3 + 2*x**2 - 3*x - 5. Let m be k(-1). What is the greatest common factor of 9 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 152626947?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/20 - (-100)\/160?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 274 + -215. Let f = s - 66. Put f, 3, 20 in increasing order.\nAnswer: f, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 62 + -57. Let g(c) = -4*c - 14. Let z be g(-6). Suppose z = d + 4*d. Solve n*t = d*t - 9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3177*t - 1075*t - 1016*t - 1085*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -17. Put 5, 3, a, -5 in decreasing order.\nAnswer: 5, 3, -5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7454669 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -817.8 and 1324985.\nAnswer: 1324167.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 484 = 10*f - 106. Suppose -w - 55 = -f. Differentiate 15 - 41*y**w - 56 + 25*y**4 with respect to y.\nAnswer: -64*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -221 (b) -42 (c) 2915 (d) -5 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(((-236)\/(-14))\/((-109)\/763))?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of 1\/6*s**4 - 1\/2*s**3 + 2*s + 0 + 3\/2*s**2. Suppose 1 = 5*r - 9. Calculate n(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1059 + -1063. Is b <= -161?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -7, 0, 1 in decreasing order.\nAnswer: 5, 1, 0, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/6 - 10\/6. Let b be v\/((-2)\/1) + -12. Let n = b + 19. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 8:44 AM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*g - 1163415*l + 1163417*l - 80, g - l = 20 for g.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 4:30 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/4 - (-12)\/8. Let w = p + -5. Let s(i) = i**2 - 1. Determine s(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*b + 6262791 = 6258663 for b.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in 0.3, -2\/5, 52, 22, -0.2, -0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 4*k - 38 = 0, 3*s + 2*s = -5*k + 55. Let m(i) = 6*i**3 + 2*i + 6*i**2 - 7*i**3 + 0 - 1. What is m(s)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -2\/2451 (b) 0 (c) 7 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(252) + 1*sqrt(252) + sqrt(252)) + sqrt(252))*2)\/(sqrt(144)*5 - 2*sqrt(18)\/sqrt(2)).\nAnswer: 20*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 6 = -154. Let v be 2\/8 - 380\/f. Let x(q) = q**2 + 12*q - 20. Let k be x(-14). Solve -2*s - 3*d + 2*d = 8, -2*s - k = -v*d for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 10:18 PM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 451384941 and 1113.\nAnswer: 1113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d + 5. Let n = 1 - 1. Let x be g(n). Suppose 0*l = -4*t - 4*l + 40, -4*t + 2*l + 22 = 0. Solve 4*c + x = -t for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (50 + 8*b + 46 - 87)*(4 - 2 - 4).\nAnswer: -16*b - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-8)\/3*(-66)\/44 and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 250199161 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of 0 + 0*k**3 + 0*k - 25*k**2 - 1\/70*k**7 - 1\/336*k**8 + 1\/20*k**5 + 1\/12*k**4 - 1\/120*k**6. What is d in l(d) = 0?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 16*g**4 - 1. Let r(j) = 4*j**4 - j**4 - 6*j**4. Let p = -37 + 26. Let b(c) = p*r(c) - 2*v(c). What is the first derivative of b(k) wrt k?\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 3*x + 4, -3*h = h - 4. Suppose 3*n - n - 104 = x. What is the remainder when n is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 r when two letters picked without replacement from ccrrcbrrrbrcr.\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9\/68 - 1\/4. Let v be (-4)\/10*3\/(-2). Sort j, v, 5 in descending order.\nAnswer: 5, v, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.16 or 8.21?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 5. Let y be b\/(4\/(-8)*1). Let s be y*(1 + 0 + 0). Solve s*g - 6 = -g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.44845 - -0.04845. Which is the nearest to -0.1? (a) -60 (b) -48 (c) -2 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22*h**2*u**3*x**2 + 5*h**2*u**2*x + 8*h*u**3*x**2 - 2*h*u**3*x - 2*u**3*x + 2*u**2 wrt x.\nAnswer: -44*h**2*u**3 + 16*h*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2344412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1332091 + 2877316451\/2160. Find the common denominator of o and 49\/1200.\nAnswer: 10800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.005 (b) -3 (c) -6 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 333469141.\nAnswer: 1783, 187027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -s**4\/6 - 200*s**3\/9 - 217*s**2 + 2895. Determine m, given that v(m) = 0.\nAnswer: -93, -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 25*s + 3. Let r(q) = q**2 - 11*q + 12. Let y be r(9). What are the prime factors of w(y)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y\/(y\/(y*y**(-5\/3)*y))*y)*y)**(-13)*(y*(y\/(y**(-2\/43)*y))\/y)**(2\/17))**35 assuming y is positive.\nAnswer: y**(-1662605\/2193)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 89, 96, 113, 146, 201, 284, 401?\nAnswer: 558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(2\/25)\/h)\/h**(-5\/4))\/(h\/h**(-1)*h)**(32\/5) assuming h is positive.\nAnswer: h**(-1787\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 - 23. What is the closest to j in -2\/7, 0.07, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 281419.2 months to centuries.\nAnswer: 234.516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 15, -13 = 3*z + 3*w + 8. Let i(a) = -a**2 - 4*a + 5. Let k be i(z). Solve 2 = 4*b + 2*m - 0, -3*b + k*m - 5 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 1211529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**10)**28\/(v**28*v*v**(-10)) assuming v is positive.\nAnswer: v**261","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 3:48 PM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 440 = -5*d + 5*r, -d - r + 21 = 109. Let s = 88 + d. Let 2\/3*i + s + 2\/3*i**3 - 4\/3*i**2 = 0. Calculate i.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 92 - 232*p**2 - 91 + 1757*p**2 + 1045*p**2 + 364*p**2 to the form g*p**2 + b*p + m and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.41 to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 790705 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = 4*g + 52, 0 = 2*y + 4*g + 62 - 38 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {g: 12, n: 6}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 274143*k - 2 + 1 - 274131*k + 1.\nAnswer: 12*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.2 + -0.2. Let i = a - -7. Let v = -5 + i. What is the third biggest value in v, -3, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56432 is divided by 11283?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 112 = 4*s, -3*s + 44 = p - 71. Suppose -110 = 4*t + 5*c, -2*t - p = 2*t - 2*c. List the prime factors of 24\/t*(2 - 157).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 7. Suppose -3*g = 34 - 79. What is the highest common factor of g and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2*g - 25 = 0, -2*g = -4*p - 4*g + 10. Let k(c) = -c**2 - 12*c + 12. Let v be k(-12). Suppose -v = -5*l - 2. Solve -p*b + l*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) 5 (c) -6\/11 (d) -872 (e) -4 (f) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0\/(-2))\/(14\/(-7)). Let j(i) be the third derivative of -1\/4*i**3 + g + 1\/16*i**4 - 3*i**2 + 1\/40*i**5 + 0*i - 1\/80*i**6. Factor j(b).\nAnswer: -3*(b - 1)**2*(b + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 45*a**2 + 120*a - 89. Let h be 8\/12*3\/2*47. What is the units digit of k(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 - 9*j + 7. Let g be o(9). Suppose 10 = u - g. What are the prime factors of (u + -1)*4\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -o - 26, 2*t - 4*o = 2156 - 2142. Solve -t*h + 4*w = -15, -2*h = -3*w - 2 - 4 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-22)\/(-77) - 593\/(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -25\nAnswer: 7\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-5)*10\/2. Suppose 8*f = i*f + 40. Let o = -27 + 45. What is the lowest common multiple of o and f?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/2602240 and 15\/32.\nAnswer: 2602240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30 + -34. Let g = -1 - 3. Let d be (-14)\/4*(g + 5). Is x at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*v**5 - 484440*v**3 + 379706*v**2 + 10 wrt v.\nAnswer: 180*v**2 - 2906640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30 + 324?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*g - 18*g - 203400. What is g rounded to the nearest one thousand?\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -27*y**5 + 744*y**4\/7 - 885*y**3\/7 + 270*y**2\/7 + 12*y - 24\/7 = 0. Calculate y.\nAnswer: -2\/7, 2\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 + 20*r + 4. Let y be f(-20). Suppose 0 = -2*c - y*c + 420. Let q be (c\/(-42))\/(2\/(-6)). Solve -2 - 8 = q*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 4*r = -2*q - 140, 0 = -r - 5. Let m = q + 47. Is 6\/m - 1479\/(-15) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 1)*(-4*d**4 + d**4 - 12*d**4) + 2*d**4 - 6*d**4 - 4*d**4 - 3*d**4 + 2*d**4 + 0*d**4.\nAnswer: -39*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 5*q = -9402, 0 = -9*x + 4*x + q + 15642. Suppose -4*h + 2594 + 505 = -5*j, -4*h + x = j. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3732 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 19668550 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 38419 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*h - 146 = -47 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 7*t + 35. Let g be d(-6). Let o(z) = 2*z**2 - 6*z - 21. List the prime factors of o(g).\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 (base 8) in base 11?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -23*u**2. Let l(h) = 0*h - 5*h - 3*h + 17*h - 7*h. What is l(z(n))?\nAnswer: -46*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 393958 is divided by 333.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11236481*i**2 + 12784876 with respect to i.\nAnswer: -22472962*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 26619586 to the power of 1\/5, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 926492\/15 - 1164596524\/18855. Let z = c - -6\/419. What is the second biggest value in -0.7, 2\/11, z, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*z - 6*z**3 + 33*z**2 + 22*z + 5*z**3 to the form a*z + d + g*z**2 + o*z**3 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**13*p)\/(((p\/(p\/(p**15*p*p)))\/p)\/p*p))\/(((p*p\/p**23)\/p)\/(((p*p**(-18))\/p)\/p*p)) assuming p is positive.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmv when three letters picked without replacement from mmmzv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35277 + 527399\/15. Let g = -286 + 169. Let r = f - g. Which is bigger: r or -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 10:19 AM?\nAnswer: 9:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7573 - 106095\/14. Let c = 8613921907\/745380 - 13\/186345. Let l = c - 11567. Calculate the common denominator of t and l.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2027 rounded to the nearest one hundred?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -16. Let i = -5.7 + f. Round i to 0 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (18\/(-8))\/((-16)\/64). Solve -13 - y = 11*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - (-102)\/3*2 - -3. Let i be (c\/(-90))\/(1\/(-400)*2). Calculate the remainder when ((i\/(-25))\/2)\/(4\/(-30)) is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -3. Let m(f) = 3*f**2 - 2*f**3 + 0*f**2 - 2*f**2. Let l be m(-1). What is the second biggest value in w, l, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 123021?\nAnswer: -123032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 274\/14 + (-12)\/(-28). Let n = v + -10. What is the greatest common factor of 70 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142 is divided by 35.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19.3 - -19.4. What is the closest to -1 in -0.3, u, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 + 19. Suppose -3*k - 2*k = -5*g - u, -2*g + 10 = 2*k. Solve -k = 2*m + 1 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -3*m - 731, 8*v - 6*v = -4*m + 382. Let g be 2\/(((-24)\/(-333))\/4). Calculate the greatest common divisor of g and v.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(64)*-2*-6)\/(2*sqrt(32)\/sqrt(4)) + -3.\nAnswer: -3 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 104.2277 to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 3. Suppose -158 = -5*k - 3*f - f, -s*k + 2*f = -86. Suppose -2*v = -2*x, 10*v = 5*v - 5*x + k. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -59*832\/(-1416)*9\/12?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 5*h - 10, c - 5 = h - 3. Suppose h*p - 44 = -4*p. Let u(l) = -5*l + p*l + 20*l**2 + 3*l - 8*l. Calculate u(-1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 - 2*a)*(-2 + 0 + 1) - 3*a - 2*a - 4*a)*(2*a**4 - a**4 + 0*a**4).\nAnswer: -7*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven halves of a century?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19589 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1531 - 1507. Let q(y) = y**3 - 5*y**2 - 9*y. Let s be q(7). Suppose -s = -4*f - 3*p, -3*p + b = 9. Solve -f*u - 9 = -3*u + 3*h, 4*h + 32 = 4*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/39)\/((-105)\/(-70))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i + 352*v + 764, 2*i - 4*v + 42 = 5 - 75 for i.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of a**4\/12 + 2*a**3\/3 - 5*a**2 + 15*a. Let p be b(-9). Suppose 23*n = 18*n + p. Solve -2 = 3*d + n for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 163, 1, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4 - 0.2. Let m = z + -0.4. Let x be (-27)\/12 - (-629)\/148. Which is the third smallest value? (a) 1\/5 (b) x (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z**2 + 15*z - 6. Let o be w(6). Solve -4*h + o = -8 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 179.5 - 155. Let o = -24.5000157 + y. Round o to six dps.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 154.738 - 153.7. What is l rounded to 2 dps?\nAnswer: 1.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16316 divided by -526?\nAnswer: -8158\/263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6653619?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 9*l**3 + l**2 + l + 1. Let t be b(-1). Let w = t + 20. What is the least common multiple of w and 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**4 + 53895956*l**3 + 363096759144242*l**2.\nAnswer: 2*l**2*(l + 13473989)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 18*s + 54. Calculate the remainder when x(8) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -141 + 139. Let y be 1\/3 + (-74)\/6. Sort u, 5, y in increasing order.\nAnswer: y, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((616\/6)\/11)\/(((-99)\/27)\/11)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 10*z**3 - 85*z**2 - 7*z + 378. Let m(s) = -3*s**3 + 28*s**2 + 2*s - 126. Let n(d) = 7*m(d) + 2*w(d). What is the first derivative of n(j) wrt j?\nAnswer: -3*j**2 + 52*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 5, 8\/13.\nAnswer: 8\/13, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, g: 6, e: 5, t: 2, j: 1, p: 1}. What is prob of picking 1 d and 1 g?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 345 and 32937495?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8840160 and 2762550.\nAnswer: 44200800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26785?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -2\/134861237?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*q**5 - 4*q**5 - 2*q**5 + (-3*q + q + 3*q)*(12*q**3 - 10*q**4 - 12*q**3).\nAnswer: -9*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -117 - -156. What is the remainder when 89 is divided by y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 + 18. What is the second smallest value in v, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 12:41 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2884 + 2577. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of 3*t**2\/2 + 8*t - 156. What is z(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x**2 - 34*x - x**2 + 34*x.\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-43 - -66) + -39 + 10 + (12 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27975 + 27977.9234. What is a rounded to 1 dp?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ysbyasc. Give prob of picking 1 b and 1 s.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1009\/7? (a) -1 (b) -10 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*l - 210*l + 628*l.\nAnswer: 430*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7\/4 of a kilogram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 6*n**2. Let k(g) = 38*g**3 + 3*g**2 + 3*g + 1. Let i be k(-1). Let t = -22 - i. Let l(w) = -t*w + 24*w - 5*w. Calculate l(q(b)).\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 254*f**2 - 8550. Let n(d) = -d. Calculate v(n(b)).\nAnswer: 254*b**2 - 8550","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1407 and 2751?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 507409 is divided by 576.\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3943.743m?\nAnswer: 3943743000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 108 and 72.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*a - 7 = 0, -a = -4*k - 0 - 8. List the prime factors of k + 14 + -1 + 1.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 88.65 + -84.65. What is the smallest value in 66\/47, b, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -5*s + 20. Suppose 5*v + t = 3*v + 79, -89 = -2*v - 3*t. Let p = v - 113\/3. Which is the closest to p? (a) 2\/15 (b) -4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -5*d + 13. Let m(j) = 8*j - 14. Let w(y) = -2*m(y) - 3*u(y). Let n(p) = -p. Give n(w(z)).\nAnswer: z + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -4 + 2*d + 3 - 8*d + 26*d**2. Let t be (-1)\/11 - (-5762)\/(-1474). Is o(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 + 17*y - 12. Let h be f(11). Let s be 6\/27 + (-39)\/h + 1. Which is smaller: s or 31?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n. Let v be g(-5). Suppose -2*p + v + 20 = 5*d, 0 = -5*p. Let k(m) = -m**2 + 9*m + 13. What is the units digit of k(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (37\/111)\/((-2)\/6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -289*w + 22*w = 17*w - 64*w + 10120 for w.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 3*b + 14, -5*b + 4 + 6 = 0. Calculate the smallest common multiple of 22 and 5 - (-1)\/a*2.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 57\/5 + -6 + (-4)\/10. Sort o, 2, -6.\nAnswer: -6, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 4*k - 5224, c - 9729 + 8686 = -k. What is the least common multiple of 2104 and c?\nAnswer: 2104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of -h**6\/135 - h**5\/45 - h**4\/54 + 4*h. What is n in o(n) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/4 (b) 2\/5 (c) -0.2 (d) 0.2 (e) -1.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 169234?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 306.42 - 271.362. Let c = z + -0.058. Let u = c + -36. What is the third biggest value in 0.3, u, 6?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/2*(-9)\/(-15). Let m(i) = i - i - 6*i - h*i. Let x(b) = b. Let r(v) = -m(v) - 6*x(v). Let w(d) = 3*d. Give w(r(n)).\nAnswer: 9*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 25 - 123 = 0. Let m = 28 - z. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1078 and 7018.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45979 is divided by 110.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/10548 and -56\/51.\nAnswer: 179316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l - 56 = 12*l. Suppose 0 = 4*g - 0*g - l. Suppose -j + g = -0. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*u = -n - 25*u + 403, 10 = -2*u. Suppose -n + 2856 = 3*w. Does 68 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43803152 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 i when two letters picked without replacement from {r: 10, z: 1, i: 3, f: 2, d: 1, o: 1}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-24)\/18*(-6)\/2. Suppose -5*h + p*d - 819 = 0, h - 5*d + 166 = -2*d. Let l = -71 - h. What are the prime factors of l?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - 10)*8\/6. Let k = 3 - l. What is the first derivative of -16*c + k*c + 1 - 4 wrt c?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - 6*j + 6. Let b be m(4). Let v be b\/5 + (-34)\/(-10). Is -2*(-4 + v + -2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in 2\/7, 3, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -3 (b) 5 (c) 3\/10 (d) -2\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (144\/(-108))\/((-1)\/6).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -34 or -38?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -15*t + 196. What is the units digit of w(-27)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4711, 4703, 4683, 4645, 4583, 4491?\nAnswer: 4363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 190256 by -88.\nAnswer: -2162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 290.942217 to the nearest ten.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32 or -103?\nAnswer: -103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 3:32 AM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 360?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 158269 > 158266?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 47520520517 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 11:56 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 931694.4 kilometers to centimeters.\nAnswer: 93169440000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/6*-1*6. Suppose 298 = 5*n + m. Suppose -n = -o + 19. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 2*i = -k - 1767, 4*i + 4*k = -1752. What are the prime factors of 16\/(-10) - -2 - i\/5?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -1 (c) -0.3 (d) 1372 (e) -2\/9 (f) 38\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/((-225)\/20)*-5. Let c = -5 + 23. What is the smallest common multiple of (-18)\/l*12\/(-27) and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -10 + 6 + -1 + 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*s - 46 - 2. Suppose -5*a = s + 7. Let b be (a\/(-2))\/((-21)\/(-70)). Solve -b*w - 20 = -0*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sxskxxxsxsxssxxsxss. What is prob of sequence xk?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20 + -8 - 3) + -11 + -6.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 220\/(-40)*168\/42.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1885 + 1922.71. Let v = s + 0.29. Let l = v + -36. Put -0.5, 19, l in descending order.\nAnswer: 19, l, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.07 + -43.07. Let s = -42.9999963 - i. What is s rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 139 + -105. Suppose -4*n = -o - d, 7*n + 5 = 8*n - 2*o. Calculate the remainder when 214 is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6 - 10)\/(4\/(-13)). Suppose -15*m + s*m = -3522. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -16, -16, -10, 2?\n\"Answer: 3*i**2 - 9*i - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16371)\/2568*(13 - 5)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ksk when three letters picked without replacement from {k: 9, s: 2}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - 3*q**3 + 3*q**3 + q**2. Let w be g(-2). Let n = 1 + 3. Put 2, w, n in descending order.\nAnswer: n, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/117 - -122\/585. What is the nearest to -0.04 in -1, 0, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*b**3 - 32*b**3 - 191*b**3 - 180*b**3.\nAnswer: -444*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -4*y**2\/7 - 17421904*y - 132791198306032 = 0.\nAnswer: -15244166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*y + 2*y - y)*(6*y**2 + 0*y + 0*y)*(-8*y - 2*y + y).\nAnswer: 270*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19.75 - 22.75. What is the smallest value in -0.5, -112, b?\nAnswer: -112","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v - p = -27, -4*v - 9*p + 19 = -8*p for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/3, -2.67, 9, -0.4, -2\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (32 - 1) + (15 - (45 + -15)) + 15\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 1 = -h. Suppose -k + 5*k + 4 = 5*l, -h*l + 5*k = 0. Let i(q) = l*q**2 - 5*q**2 - 1 + 3*q**2. What is i(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 102 = 84. What is the remainder when u is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 457276565 to the nearest integer?\nAnswer: 21384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*f - 145*f + 29*f + 32*f + 45*f.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**2 + a + 1. Let w(u) = -17*u + 9. Let z(s) = -4*j(s) - w(s). Let g(p) = -247 - p + 11*p - 2*p**2 + 244 - 2*p - 5*p. Give 26*g(h) - 6*z(h).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 86.05 - 89. Let d = -42 + 41.95. Let p = l + d. Which is the second biggest value? (a) 2\/15 (b) p (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 6:25 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 550, 546, 538, 526, 510, 490, 466?\n\"Answer: -2*d**2 + 2*d + 550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1947, -4183, -6419?\nAnswer: -8655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/115349508 and 43\/276.\nAnswer: 115349508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4137500 + -396917.2\nAnswer: 3740582.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -2*t**4 + 7726948*t**3 - 9950727564984*t**2 + 4271110949915256880*t + 375934827292624488064 = 0.\nAnswer: -88, 1287854","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 2, 54 in descending order.\nAnswer: 54, 23, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of g**5\/120 + g**4\/24 - g**3\/4 - 3*g**2. Solve f(o) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*(-14)\/2 + (12 - 17). Calculate the remainder when -23*15\/(-10)*t - 2 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x + 7. Let z be 25\/4 - (-1)\/(-4). Let k be d(z). Let l be 720\/432*(-24)\/10. Put 2, k, l in ascending order.\nAnswer: l, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -48*p**3 - 49*p**2 - 9*p - 40. Let u(w) = 17*w**3 + 17*w**2 + 3*w + 14. Let m(q) = 6*s(q) + 17*u(q). What is m(6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6677 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13913 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 - 8*f + 3. Let m be a(8). Suppose -o = 3*x - 15, 2*x - 57 = -m*o + 2. Suppose -o*q = -23*q + 354. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -13*s - 8. Let a = 2 - 7. Let m(w) = 12*w + 7. Let f(d) = a*x(d) - 6*m(d). Differentiate f(g) wrt g.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3756 by 2.\nAnswer: 1878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 5*k**2. Let i = 16 + -11. Let z = -1 + i. Let d(x) = -5*x. Let r(u) = 4*u. Let s(f) = z*r(f) + 3*d(f). Calculate b(s(g)).\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 6 = 3*q, -2*g = q - 8 - 5. Suppose q*j + 0*j = -u + 448, 5*u + 144 = j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 93 and 117036284?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + 0. Solve -5*q = -4*u + 37, 9 = -0*u + m*u for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-1))\/(-3)*(-19)\/(-38).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = s - 6. Let n = s - 3\/2. Let -1\/2*j**3 + n*j**2 - 1\/2*j**4 + 1\/2*j + 0 = 0. Calculate j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 + c - 1. Let j(f) = 4*f**2 + f - 3. Determine 5*g(k) - j(k).\nAnswer: k**2 + 4*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 9*n**2 - 2*n - 9. Determine f(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**19\/(w*w*w**15))\/(w*w\/w**(-10)*w*w*w**(-17\/3)*w) assuming w is positive.\nAnswer: w**(-22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, y: 1, v: 6, l: 5, c: 5, m: 1}. Give prob of picking 1 v and 2 l.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 9*o - 129. What is the least common multiple of 22 and j(25)?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - (4 - (-9 + -10)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -7.926\nAnswer: 15.852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 88 (base 11) to base 7\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 89633.7 millennia?\nAnswer: 89633700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18134280 rounded to the nearest 1000000?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -7*s**2 - 14*s - 18. Let n(f) = -20*f**2 - 41*f - 51. Calculate -17*j(p) + 6*n(p).\nAnswer: -p**2 - 8*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - -1)*-1*(-61913)\/(-202). Which is bigger: -612 or c?\nAnswer: -612","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 0.2 (c) -0.2 (d) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 (base 7) in base 10?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*q + 5*t - 162 = 0, 4*t - 2 = -q + 3*t for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/2314 and -65\/8.\nAnswer: 9256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -674201 by -4.\nAnswer: 674201\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + -13. Let a(h) = -h**2 - h + 2. Let o be a(x). Suppose n - 2*r - 10 = 0, 4 = -2*n - o*r + 24. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 2415722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-21)\/(63\/2))\/(4\/(-30)). Suppose a*t = -23*o + 20*o + 3779, -2*o = 2*t - 2522. What are the prime factors of o?\nAnswer: 3, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -61 - -65. Solve v*g - 41 = 5*j + 8*g, -2*g - 18 = 2*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a tonne in kilograms?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -36 - 64. Let k = c - 39. Let z = k + 43. Calculate the greatest common divisor of 8 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 78 = 207. Let j = 135 + p. Calculate the lowest common multiple of (-9)\/(72\/(-32)) - ((-8)\/1)\/((-10)\/(-25)) and j.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 38061\/8 - 4751. Calculate the common denominator of (10\/(-16))\/(5\/75) and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 - 7*m. Let d be a(7). Do -5\/4 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 + 14*r**2 + 15*r + 2. Calculate the least common multiple of h(15) and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(135\/20)*3\/12*72\/44?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnnnkkkknxnknxkkk. Give prob of sequence nnk.\nAnswer: 32\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3472\/(-310)*70\/28?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -4 - 2. What is the lowest common multiple of (-9)\/(54\/12) + 7 and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u - 9. Calculate m(16).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 8:20 AM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1293326 to the nearest integer?\nAnswer: 1137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x = -20*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {d: 3, f: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 225.183186 nanoseconds to days.\nAnswer: 0.000000000002606286875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 908*h + 486523. Is d(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -89?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 3*b + 412 = 407, 0 = -9*y + 3*b - 27 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -3*t**2 + 6*t - 4. Let v be -1 - -7*(3 + -2). Let k(a) = 3*a**2 - 7*a + 5. Suppose -14 = -5*c + 3*c. Give c*s(d) + v*k(d).\nAnswer: -3*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1240488, -1240498, -1240522, -1240566, -1240636, -1240738, -1240878, -1241062?\nAnswer: -1241296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 divide 2287778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -168956*o**3 - 29609*o**3 + 19814*o**3.\nAnswer: -178751*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uwu when three letters picked without replacement from {h: 4, i: 9, u: 4, w: 3}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 divided by -23?\nAnswer: 20\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d + 18 + 90 + 11.\nAnswer: d + 119","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1449\/21)\/(-3) + 0\/1.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of 33\/2*c**2 + 0*c - 31. Let v(f) = -21*f**2 + 42*f**2 - 20*f**2. What is o(v(z))?\nAnswer: 33*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/4, 2, -1\/9, 2839, 5, 40\/13, 1\/3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -544, 4, 2, -4, -12 in ascending order.\nAnswer: -544, -12, -4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/39, -65, 1\/3 in increasing order.\nAnswer: -65, -2\/39, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a second in milliseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 10, u: 4}. What is prob of sequence um?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 107027829 and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -2 - (5 + 12 + -5).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4336*k - 234 = -3*p - 4337*k, -67 = -p - 4*k. Let n be 1\/((10\/(-84))\/(-5)). Let x = n - 14. Calculate the remainder when p is divided by x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 37144 and -4?\nAnswer: -148576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-6)*(3 + -13). Put 0.2, 0.4, x in descending order.\nAnswer: x, 0.4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -4*i**2 + 15*i + 141. What is n(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -8 - (1 - (-30 - -8))) + 4.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -6. Suppose -5*g - 769 = -4*s, -4*s - g + 781 = -k*g. Let v = 18953 + -18931. Calculate the remainder when s is divided by v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -1, 487, -2\/9, -3\/5 in ascending order.\nAnswer: -1, -3\/5, -0.5, -2\/9, 487","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of c**6\/300 - 13*c**5\/6 + 26887*c**4\/60 - 25921*c**3\/5 + 1272*c**2. Factor q(n).\nAnswer: 2*(n - 161)**2*(n - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-184)\/(-96) - (-10)\/(-6). Which is the closest to -2\/3? (a) -0.4 (b) -0.2 (c) 4 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*n**3\/5 - 92*n**2\/5 + 246*n\/5 - 72\/5 = 0. What is n?\nAnswer: 1\/3, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/4648 and 45\/196.\nAnswer: 32536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 1, -3, 0, 6, 121.\nAnswer: -12, -3, 0, 1, 6, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 19 - 8 = 0. What are the prime factors of (168 + -22)\/(2 + (-16)\/x)?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f - 5*f + 4*f)*((-4 - 1 + 10)*(2 + 1 - 1) + 31 + 64 - 6).\nAnswer: -198*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 10*u - 287. Suppose 0 = -9*f + 10*f - u. Suppose 22 = 3*g - f. What is the highest common factor of g and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -230 - -782. Is q a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2086*n**2 - 2019*n**2 + 4097*n**2.\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -270*h - 3464. Does 36 divide n(-47)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3544.\nAnswer: 2, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 38.522?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -1 - (2 - (1 + 0))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one tenth of a kilometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-1)\/(c\/(c\/(c\/c**(-1\/10)*c))) assuming c is positive.\nAnswer: c**(-31\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -0.167 (c) 2\/13 (d) 0.5 (e) 83\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1100494?\nAnswer: 2, 421, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - 10*j**2 + 2*j + 11. What is z(10)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 715139592 - -6131\nAnswer: 715145723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 983095966*a - 983095969*a - 1 + 3 + 0 - 2.\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence trb when three letters picked without replacement from {b: 3, r: 2, t: 4, v: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6831*o**4*p**3 - o**4*p**2 + 62723*p**3 with respect to o.\nAnswer: 27324*o**3*p**3 - 4*o**3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-9401)\/2016 - -6 - (-6)\/(-27) and 53\/160.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32 + 82. What is the highest common factor of 75 and f?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -7*r + 62. Determine t(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 15 = 7. Solve -3*f = -2*q - s, -4 = -4*f + q + 5 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 179\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) -22 (c) -0.4 (d) -2\/11 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 24*l**2 - 2163*l - 11123. Give r(95).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.15871 - -4.\nAnswer: 4.15871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27354814?\nAnswer: 2, 113, 121039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (234\/8)\/((-7)\/(-112)*4). Suppose 3*x + u = -8*l + 11*l, -2*x = -4*l + 150. Solve r = l - 40 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4579*u**5 + 4*u**4 + 19*u**3 - u**2 + 450732.\nAnswer: -274740*u**2 + 96*u + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(360)\/sqrt(12)*-2*3)\/((sqrt(90) + (sqrt(90) - -6*sqrt(90) - sqrt(90)) - sqrt(10))*3) + 0.\nAnswer: -sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -67069*b + 1073093. Determine h(16).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2022\/794669 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, -5, -6, 3, 5 in descending order.\nAnswer: 5, 3, -5, -6, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 6*t**2 - 145*t - 293. Calculate the lowest common multiple of y(-2) and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/(-8) + -1)\/((-1)\/(-440)). Find the common denominator of -44\/5 and -1 + l\/(-32) + 0.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z + 5*z**3 + 0*z + (-2*z**2 - 10*z**2 + 18*z**2)*(3*z - 3*z + z) + 13*z**3 - 4*z**3 + 13*z**3.\nAnswer: 33*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = 4*m - 8, i = -2*m + 185 - 178 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6657 = -4*p + 2*n - 251, -n - 5 = 0. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -8*u + 5 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*3*(-102)\/612*(-8)\/(-6)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1126.8 take away -1923.1528?\nAnswer: 3049.9528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 + 10*a - 11. Let c be n(8). Let g = c + -1. Suppose 0 = -t + 5, -3*l - g*t + 27 - 7 = 0. Solve -z + 5 = -l for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*d**3 - 189*d - 7*d**2 - 133 + 3*d**3 + 131.\nAnswer: 10*d**3 - 7*d**2 - 189*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -13.8.\nAnswer: -13.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*h + 90*h - 184*h - 2*z - 63 = 0, -2*h - z + 163 = 172 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 121*q + 8. Let x(l) = -3630*l - 242. Determine -121*k(u) - 4*x(u).\nAnswer: -121*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -18\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 136327439 + -938069104782\/6881. Let d = -4\/983 + f. Factor 3\/7*k - d*k**2 + 0.\nAnswer: -3*k*(k - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/g**(1\/6)*g*g**(-1\/4))**(-32) assuming g is positive.\nAnswer: g**(-248\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-7)*(-36960)\/(-96800)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -359.172 to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1060*a**3*m - 11*a**3 + 2808*a**2*m + 2*a**2 - 2*m wrt a.\nAnswer: -6360*m - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24359*i + 6213*i + 22253*i.\nAnswer: 52825*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + 6*l**2 - 2*l + 1. Let t be u(4). Let a = -25 + t. Let m(b) = -b + 3. Let z be m(a). Solve -z*f - y = -f + 1, -3*f + 5*y = 8 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 1 = 2. What is the second smallest value in 0.5, 0.2, g?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 353 is divided by (107920\/(-30))\/19*(-6)\/8.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yay when three letters picked without replacement from {y: 10, s: 3, p: 2, a: 1}?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101100001011010 - 1?\nAnswer: 101100001011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 15*n**2 - 7*n + 88. What is p(15)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -26*v**3\/3 + 778*v**2\/3 + 20*v = 0.\nAnswer: -1\/13, 0, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -4*o**3 + 8*o**2 + 8*o + 3. Suppose 52*n = 60*n + 56. Is s(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51\/10, -5, 1\/4 in ascending order.\nAnswer: -5, 1\/4, 51\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 11, h: 2}. Give prob of sequence xx.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 199*d**3 - 201*d**3 - 1 + 1.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 278 - 6 - (-7)\/(-35)*15 is divided by 46.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12.071 - 8.071. Sort -6, n, 3, -2, 7.\nAnswer: -6, -2, 3, n, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 + 10*r + 9. Let x be f(-9). Let b = -1 + 4. Let j be b\/6*(4 - x). Solve -1 = -g + j for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - 3*h**2 + 2*h + 2. Let f = -13 + 23. Let j = f + -13. Let l(d) = d**3 + 3*d**2 - d - 3. Let p(a) = j*c(a) - 2*l(a). What is p(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of -24*p + 0 + 12*p**2 - 25\/6*p**3. List the prime factors of b(-7).\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -2*j**3\/17 - 1348*j**2\/17 + 259274*j\/17 + 260620\/17 = 0.\nAnswer: -830, -1, 157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**5 + 505*p**4 + 6855*p**3 + 35775*p**2 + 82080*p + 69660.\nAnswer: 5*(p + 3)**3*(p + 6)*(p + 86)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 506 and 4367?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 267*d + 92. Let z(g) = -121*g - 47. Calculate 6*x(v) + 13*z(v).\nAnswer: 29*v - 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 3 (b) 209 (c) 5 (d) -0.12 (e) 44\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 283*l + 6. Let f(u) = -u**2. Calculate o(f(z)).\nAnswer: -283*z**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.65 and -303.7.\nAnswer: -303.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 43045 + -2c?\nAnswer: 43018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-120)\/(-432)*(9 - (-46)\/(-5))?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 67 - 57. What is the hundreds digit of -322*(25\/c)\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 206 to the power of 1\/2, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1027 - 606. Suppose -7*s = -d - 111. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 10 = 5*j, -5*g + 4*j + j = -30. Let k = 11 + -5. Let s = -6.2 + k. Which is the third biggest value? (a) g (b) 4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2378 in 0.1, 5.17, -2\/7, -3\/8?\nAnswer: 5.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4.02 - 751370864\nAnswer: -751370868.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 AM and 10:20 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t + 32*t - 1936 = 0. Solve -95*o + t*o = -35 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -2*z**2 + 3608*z - 3606 = 0.\nAnswer: 1, 1803","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/9 (b) 2426 (c) -1\/35 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.545831ml in litres?\nAnswer: 0.003545831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -69*n + 104*n - 70. Put -4, n, 72 in descending order.\nAnswer: 72, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2225638.\nAnswer: 2, 47, 23677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 5*z - 19 = -6*l, l = 2*z + 1 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7497, -14966, -22417, -29844, -37241, -44602, -51921, -59192?\n\"Answer: h**3 + 3*h**2 - 7485*h - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xvvvvx. Give prob of sequence xvx.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 5*t + 15 = 5*f, 0 = 3*f + 5*t + 23. Let v be 10\/(-40) + f + 0. Which is smaller: 0 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 1:39 AM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73408 divided by -9176.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 34*748\nAnswer: 25432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + o = 8, 0 = 5*f + 4*o - 0 - 7. Suppose -l + 2*c = 4*l - 103, 0 = -l - 3*c + 24. What is the remainder when l is divided by (f\/(-3))\/((-1)\/(-18))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -6959*a + 1071707. What is k(154)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 6 = p. Let a(w) = -w**2 - 2*w - 5. Let o be a(p). Let h = o - -12. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -246*t**3 + 82*t**3 - 202 + 82*t**3 + 80*t**3 in the form k*t**3 + o + m*t**2 + i*t and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - 29. Let a = -15 - d. Solve 10 = -3*p + 2*y, -2*y + a = -5*p + 3*y for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, l: 5, z: 8, v: 4}. What is prob of sequence tlzl?\nAnswer: 1\/459","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c**2 - 5*c - 2. Let m be j(-3). Let p be (-2)\/m + 154\/(-35). Let y be 2 - 2 - (2 + p). Solve -b = -y*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -601*z - 1535*z - 959*z**3 + 960*z**3 to the form r*z**3 + l + s*z**2 + x*z and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5312 + 88404 = 28*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 57, 1, 0, -4 in ascending order.\nAnswer: -4, 0, 1, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 38*p**5\/17 + 118*p**4\/17 - 330*p**3\/17 + 154*p**2\/17 + 20*p\/17 = 0?\nAnswer: -5, -2\/19, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/((-264)\/280) + 2\/(-11). Let v(f) = 13*f**3 - 7. Let k(y) be the second derivative of -3*y**5\/10 + 3*y**2\/2 + y. What is b*v(z) + 7*k(z)?\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5214, 11210, 17982, 25530, 33854, 42954?\nAnswer: 52830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*z - 22 - 38 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = u - 3*n + 13, -5*n = -25. Let v be 24\/(-18)*u\/(-2). Does 8 divide 12*(v - 8\/(-3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pm when two letters picked without replacement from mplemeppeeele.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-30)*-2)\/(6\/9).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 102 = -12*y for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43512, -174067, -391658, -696285, -1087948, -1566647?\nAnswer: -2132382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (41 - 41 - 8*r)*(-48 + 48 + 37*r**3) + 3*r**2 - 3*r**2 + 2 + 2*r**4 in the form a + c*r**3 + y*r**2 + h*r + q*r**4 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a**3 - 75*a**2 + 39*a - 66. Let v be -2 + 12\/6 + (-111)\/(-3). Let o be f(v). Solve o*g - 4 = -28 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -159*v**3 + 6*v**2 + 10*v - 3. Is i(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 141, -10, 20, -5, 1, 9, 0 in decreasing order.\nAnswer: 141, 20, 9, 1, 0, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -8, 8 in ascending order.\nAnswer: -8, -4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 23 + 213. Let c = -64 + i. Put -10, 0.5, c in ascending order.\nAnswer: -10, c, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 4. Suppose 3*d - y = 6. Find the third derivative of 6*p**d + p**4 - 4*p**2 - 3*p**4 wrt p.\nAnswer: 96*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 0 = -3*n. Let v = 510 - 491. Suppose -v*t = -13*t + 18. Which is the closest to t? (a) -4\/9 (b) 4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -154\/3 + 52. Let j(i) be the first derivative of 0*i + 0*i**2 - 1\/4*i**4 + 2 + r*i**3. What is the third derivative of j(p) wrt p?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 601319 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 80.146962 seconds in weeks?\nAnswer: 0.000132518125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 9*n - 27. Suppose -244*f = -242*f - 2, 3*m - 11 = 4*f. Determine x(m).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 21849138 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 7 + (-1 + 0 + 3)*(-3 + 2 + 0) + 0 - 2 + 1 - 3 + 7 - 2)*(0*d + 0*d + d).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2935 + 3?\nAnswer: -2932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 4 = -1. Suppose -2*g + 0*g + 10 = 0. Suppose 4*o = 2*o - 4*w - 16, g*o + 5*w = -20. Sort z, 3, o.\nAnswer: o, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f**3 + 21*f**2 + 3*f - 12. What is the remainder when j(4) is divided by 144?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 216228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -1757*n + 5284. Let v be c(3). Let i(y) = y**3 - 12*y**2 - 14*y + 9. Determine i(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91816 = -78*k + 777338. List the prime factors of k.\nAnswer: 11, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1088932 by -172.\nAnswer: 6331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -29*a**5\/5 - 11*a**2 + 3. Find the second derivative of y(g) wrt g.\nAnswer: -348*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47 - 95 + 1408*j + 48.\nAnswer: 1408*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 239827593 to the power of 1\/2, to the nearest integer?\nAnswer: 15486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 101076398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -2*r**2\/5 - 86500196*r\/5 - 935285488504802\/5 = 0?\nAnswer: -21625049","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3067.9 - 2917. Let n = 151 - a. Put -4\/3, 5, n, 1 in descending order.\nAnswer: 5, 1, n, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.79999978 + 0.8. What is m rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 65286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -540 + 342032?\nAnswer: 341052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1411005?\nAnswer: 3, 5, 109, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 4:23 PM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*x + 52*x + 37*x - 135*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of -780*n**7\/7 + 163*n**3\/3 + 2*n**2 + 538. Find the third derivative of i(b) wrt b.\nAnswer: -93600*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-10)*((-42)\/(-9))\/(6*92\/1035).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 4*r**2 + r**2 - 4*r**2. Suppose f = 6*q - 3*q + 1, -f + 1 = 3*q. Let t(l) = q*l**2 - 7*l**2 + 31*l**2. Determine p(t(g)).\nAnswer: 576*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 - 4. Let d be ((2 - 2)\/(-1))\/(-1). Suppose 1 - 16 = -5*x. Solve -x*y + d*y = -z for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -a60214?\nAnswer: -a60219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -6*d. Let s(z) be the third derivative of -1\/20*z**5 + 0 - 9*z**2 + 0*z**3 + 0*z + 0*z**4. Give r(s(q)).\nAnswer: 18*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(450))**2*-5.\nAnswer: -2330 + 600*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 222634 = -a, 146*a - 142*a + 133562 = 3*w. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*f**2 + 172*f**2 - 40*f**2 - 39*f**2 - 48*f**2 - 31*f**2.\nAnswer: -14*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 1 = -1. Suppose 3*v - v - 2 = 0. What is the remainder when s is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**5 - 3*p**2 + 3*p**2 + (-p**2 + 2*p**2 - 3*p**2)*(4*p**3 - p**3 - p**3) + 2*p + 4*p**5 - 2*p.\nAnswer: 3*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -15494, -30982, -46470, -61958, -77446?\n\"Answer: -15488*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112229 is divided by 301.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18 - 18 - 27*r to i*r + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pf when two letters picked without replacement from sfsffffsxspppf?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 2:51 PM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 10:31 AM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 0 (c) -0.3 (d) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8 (b) 0.1 (c) -476\/37 (d) -589\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -1\/3 (c) 208 (d) -1\/7 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b**2 - b**2 - 12*b - 4 - 3*b**4 + 11*b + 2 to the form t*b**2 + h*b**4 + w*b**3 + k + s*b and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j + 9. Let d be x(8). What is the tens digit of 1*(-54)\/(d + -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 97690 to the nearest integer?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c**3 + 90200*c**2 + 510211968*c + 19258025472 = 0. Calculate c.\nAnswer: -11256, -38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-8)*(-8)\/30. Let q(w) = 15*w**2 - 75*w + 1. Let h be q(5). Does x = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -33004696.6 to the nearest 10000.\nAnswer: -33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -0.211.\nAnswer: 0.211","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2)*u*(u*u**5)\/u*((u\/(u*u**(-2\/5)))\/u)**(16\/11))**(-28) assuming u is positive.\nAnswer: u**(-4816\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 - 9 = o + d, 3*o - 5*d = -5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*y - 12*y + 25*y**2 to the form z + f*y**2 + j*y and give f.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4509?\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by 6354686?\nAnswer: -6\/3177343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32615 (base 14) to base 4.\nAnswer: 131301023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 59 - 59.6. Let k = h - -0.6000051. Round k to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3*k - 10. Let g be n(5). Suppose -2*o = -8, g*d - 84 = d + 3*o. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d - 31573*d**2 + 4*d.\nAnswer: -31573*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -163.996 - 0.004. Let f = -5 + u. Let y = -168.99831 - f. What is y rounded to four dps?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0351489915 to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 73245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 11 + 2 + 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12*(10\/(-60))\/(2\/(-16)). Suppose -5*v + a = -4. Let z(j) = j**3 - 3*j**2 - j - 7. Let t be z(v). Solve 0 = -3*x, t*x - 7 = -5*i + 3 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 + 39 + 52*k - 66*k + 45*k to t + y*k and give y.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5.4 from -0.037609326.\nAnswer: -5.437609326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -7*g. Let h be 606\/8 + 18\/(-24). Let v(c) = c - 75 + 150 - h. What is z(v(b))?\nAnswer: -7*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - -16)\/((-11)\/(-55)). Calculate the highest common factor of i and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0089252 to 3 dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-6 - (-5 + 0))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, p: 6, l: 2, a: 3}. What is prob of picking 1 z and 3 p?\nAnswer: 16\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 p when four letters picked without replacement from nkhkzkzpkhzpkpkppkk.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1072 and 285420.\nAnswer: 1141680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2613 divided by -67\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2672 + 7a?\nAnswer: -25a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9427 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 78730.77cm?\nAnswer: 787307.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4*r = 12, r = -1 - 1. Solve l*c = 5*c - 6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3397288\/37 less than -91820?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -1 + 26. Suppose -f*w + 10 + 26 = -2*j, 0 = 3*w - 5*j - 14. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29 - 21. Suppose -s - 6 = d, 4*d - 3 = 9. List the prime factors of q\/(-3)*s\/2.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -9. What is the units digit of m\/14 - (-6)\/21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45, -63, -101, -165, -261, -395?\nAnswer: -573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 78*y**2 + 36*y + 241. Is v(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*n + 1160 = -12*n. Solve 0 = -4*o + 20 - n for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -7 + (16 - 1) + -7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/9 and 254\/24*8\/(-20)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 21, 2\/13, -1.4, 1\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w**4 + 61955*w**3 - 154770*w**2 - 340685*w + 433510 = 0. What is w?\nAnswer: -2, 1, 7\/2, 6193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15 by 3724.\nAnswer: 15\/3724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 571 = 3*x - 0*x, 0 = -5*m - 10. Suppose 2*d - d = x. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 288047 and -0.019.\nAnswer: -5472.893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 - 2*m + 1. Let k be v(3). Suppose 0 = 3*a - a - k. Let x = 18 - 10. Solve 0*b - 4 = -4*b - 2*l, -a*b = 4*l - x for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/2)\/(5\/(90\/12)). Suppose -b - c*b = -3*w - 3, 2*w = -2. Suppose -6*r + 13*r - 126 = b. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - 9. Suppose 0 = -3*p + 4*x + 85, 3*x = -3*p - 0*p + 120. Calculate the highest common factor of p and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 5 = -11 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -12*s - 26. Solve 2*v + s - 5 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, 12, -4, 196 in ascending order.\nAnswer: -4, -3, 5, 12, 196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*v = -197*v - 6327 for v.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -53*v**2 + 231*v - 250. Calculate g(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -2 - (1 + 3 + -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*h - 13*h - h)*(-120 + 20*h - 99 + 411 - 132) to the form j + y*h**2 + p*h and give y.\nAnswer: -320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8*(-21)\/(-336)*2. Let m = 1\/71 + -97\/1846. Sort m, 0.2, 1\/3, b in decreasing order.\nAnswer: b, 1\/3, 0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17745?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do -4354 and -4742 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Convert 213 (base 4) to base 3.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(18\/3)\/(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/13? (a) -0.21 (b) -2 (c) 1140\/31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 - 15*z - 17. Let a(h) = h**3 + 3*h**2 - 8*h - 3. Let t be a(-5). Let p be o(t). Suppose p*d - 11*d + 156 = 0. List the prime factors of d.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + -3. Solve t = 5*v + 12, v = 2*v - 4*t + f for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 62 - ((6 - 20) + 15 + (-6 - (11 - 24))).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 53291216.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2. Let s(v) = 5*v**2 - 40. Determine k(s(f)).\nAnswer: 25*f**4 - 400*f**2 + 1600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.452 times -448.226\nAnswer: 202.598152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 2:10 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(39)\/(sqrt(3) - -1*sqrt(6)\/sqrt(2)) - -2*1*(sqrt(468) + 1)**2) + -1.\nAnswer: 49*sqrt(13)\/2 + 933","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 948 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 226926 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a week in hours?\nAnswer: 2604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 778 smaller than 120508\/155?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49 - (16 - (34 - 7) - -7)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11122010 - 20?\nAnswer: 11121220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and -1046340692.\nAnswer: -1046340696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 130.72 and 238.\nAnswer: 31111.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 1328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 2*r**2\/13 + 2842*r\/13 + 383540\/13 = 0.\nAnswer: -1270, -151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0 (b) 26 (c) -4\/155\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21.1 + 16.74. Let x = q + 4.77125. Let u = 0.41 - x. Round u to 4 decimal places.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*v**3\/2 - 14237934*v**2 + 22524297684525*v\/2 + 7508105556147.\nAnswer: 3*(v - 1581993)**2*(3*v + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -9*q + 5. Let s be h(-5). Let k = -53 - -73. Calculate the greatest common factor of s and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 395, 795, 1203, 1619, 2043, 2475?\n\"Answer: 4*l**2 + 388*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1283997 and 832?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 2550 = -n, -n + 4*f + 1225 = -1316. List the prime factors of n.\nAnswer: 5, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 4237326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 + -25. Solve -o = 2*k - 1 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qmc when three letters picked without replacement from mcqfsfffs.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -r**4 + 12171*r**3 - 2*r**2*s**3 + 4*r*s**3 - 8*r + 19*s**3 - 5*s wrt r.\nAnswer: -12*r**2 + 73026*r - 4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 13*l**3 - l**2 + 2*l + 9. List the prime factors of y(3).\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - h = h + 2, 2*h = 3*j + 3. Put 0.4, j, -1\/2 in decreasing order.\nAnswer: 0.4, -1\/2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3505.2 rounded to the nearest 100?\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1273, 5388, 12239, 21820, 34125, 49148, 66883, 87324?\nAnswer: 110465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 24177.13612 to 0 decimal places.\nAnswer: 24177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 15783?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**3 - 2*j**3 + 3*j**3)*(-1 + 1 + 1) + 20*j**3 + 0*j**2 + 0*j**2 + (-2*j + 6*j - 3*j)*(-6*j**2 + 3*j**2 + 2*j**2) + 2*j**3 - j**3 + j**3.\nAnswer: 22*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-60)\/(-14) + (-8)\/28. Suppose -i*n - b - b = -758, -394 = -2*n - 4*b. What is the highest common factor of 17 and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29 + 57. Suppose 3*p = -4*z + 171, -5*p + v + 19 = z. List the prime factors of z.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -2*o + 541 - 126, 3*h - 205 = -o. Which is smaller: o or 210?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 0*x + 2*x**2)*(5 + 2*x**2 - 5) + 2*x**4 + 4*x**4 - 5*x**4 - 3*x**4 + 6*x**3 - 6*x**3.\nAnswer: 2*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2687, 10526, 23641, 42038, 65723, 94702, 128981, 168566?\nAnswer: 213463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(2*s**4 - 2*s + 2*s + (-5*s + 5*s - 2*s**2)*(s**2 + 2*s**2 - s**2) + 3*s**4 + s**4 - s**4).\nAnswer: 2*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 2*o + 6. Suppose 8*r + 144 = o*r. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1272*t + 1293*t - 4080 = -1330*t + 3963*t for t.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**1)**39*(l\/(l*l**(-3\/8)*l))\/(l\/l**4)*(l**(-1\/5)*l**(4\/5)*l)**(-37) assuming l is positive.\nAnswer: l**(-713\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -10286 take away 0.01?\nAnswer: -10286.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1184375 and 17055?\nAnswer: 1895","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 316698701?\nAnswer: 11, 83, 346877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 o when three letters picked without replacement from {u: 1, z: 1, n: 1, o: 2, r: 1, k: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 3485874?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 - 8*p - 6. Let i be c(-5). Suppose 0 = -l + 3 + i. Calculate the remainder when 2\/7 - 152\/(-7) is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44581643 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 55*t**3 - 3*t**2 - 3*t + 12. Let p(c) = 55*c**3 - 4*c**2 - 4*c + 17. Calculate 3*p(q) - 4*x(q).\nAnswer: -55*q**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4732, -10573, -17528, -25603, -34804, -45137, -56608, -69223?\nAnswer: -82988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 + 44. Calculate the lowest common multiple of m and 4\/4 - (-1 - 2).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = -8*v + 82. Calculate the greatest common factor of 38 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -18\/37 (b) 1\/4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1 - -2) + -1)\/2. Suppose -5*c + i + 28 = 3*i, 3*c + 5*i - 13 = m. Factor 3*o**2 - 2*o**3 + 2*o - 4*o**4 + c*o**4 - 6*o**2 + o**2.\nAnswer: 2*o*(o - 1)**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/49)\/(1\/(-14))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23\/69)\/(40\/(-48)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_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: Collect the terms in -2*s**3 + 45 + 110*s + 286*s + 3*s**3 + 4*s**2.\nAnswer: s**3 + 4*s**2 + 396*s + 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26 - 2*p + 2*p**2 - 19*p**3 + 10 + 0*p**2 + 16*p**3 to the form o + m*p + f*p**2 + l*p**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 4*r - 7, 0 = -12*o + 15*o - 5*r. Let n(f) = -f**2 + 3*f - 3. Calculate n(o).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 61161 and 2775.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1181922, 2363844, 3545766, 4727688, 5909610?\n\"Answer: 1181922*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5 - 3) + (3 - (-25)\/(-5)). Solve 6 = -2*s - h for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13681 and 6.\nAnswer: 82086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 10:23 AM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*k + k - 6*k)*(-3 - k + 3) + (-7*k**2 - k - k**2 + 30*k**2)*((-4 + 2 + 4)*(-2 - 1 + 2) + 5 - 3 - 3 + 3 - 6 - 1) as z + s*k**2 + y*k and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i - 2. Let q be a(5). Suppose -4 = 2*z + 4, -z - 673 = -q*t. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c - 7. Let b be o(-5). Suppose 0*k - 4*k + 5*p + 57 = 0, -k - b*p - 7 = 0. Let z be 7*(3 - (-2)\/2). Solve -k = -4*f - z for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (3 - 0) - -2 - 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1738*a + 4*a**2 - 2*a**2 + 243*a**5 + 1733*a wrt a?\nAnswer: 14580*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, y: 3, g: 6, v: 1}. Give prob of picking 2 y.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 560, 2249, 5066, 9011, 14084, 20285, 27614?\n\"Answer: 564*z**2 - 3*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*x**3 - 82*x**2 - 8*x + 8 = 0. Calculate x.\nAnswer: -1\/3, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 - -35. Solve -2*r = r - w for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/9129 or -1?\nAnswer: -1\/9129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28661 - -112599\/4. Let u = h - -523. What is the common denominator of 164\/(-28) - (-2 - -1) and u?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 76*x - 4. Let d(n) = 41*n - 4. Calculate 4*b(r) - 7*d(r).\nAnswer: 17*r + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l - 2*l + 4146. Let f = 12545\/6 - l. Calculate the common denominator of -131*(2 - 11\/6) and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9453)\/(-78775))\/((-78)\/(-200))?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/((-2)\/1*(-3)\/18). Suppose 0*z = t*z - 408. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 114489?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 - 5*w + 1. Let j be b(-4). Let t(y) = -3*y + 23. Let u(v) = -v + 8. Let r(f) = 3*t(f) - 8*u(f). Let z be r(j). Solve -5*g + 0 + 20 = z for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5*c - 9317 = 0, c - 10363 - 5184 = -5*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ov when two letters picked without replacement from {o: 2, v: 2, u: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 5*r = 21, -5*v = -0*v + 5*r + 15. Suppose v*y - 6 = 4. Suppose 0 = 5*t - y*z - 75, 4*z - 9 = -t + 1. Is t a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 7*l - 8 + 19 = 0, 3 = -c - 2*l for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -708*d**2 + 10708*d\/5 - 264\/5 = 0. What is d?\nAnswer: 22\/885, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -128184 by -8.\nAnswer: 16023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 + 43. Which is smaller: u or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -840 - -17?\nAnswer: -824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/3))**(-2)*(h\/(h**1*h))**28)**(5\/3) assuming h is positive.\nAnswer: h**(-410\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of -w**3\/2 - 13*w**2\/2 + 10*w. Let r be f(-6). Calculate the highest common factor of 40 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 1 + 1 + -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.094326494939 from 17.\nAnswer: 17.094326494939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 232 = -a. Let n(k) = 9*k + 132. Calculate the remainder when a is divided by n(-13).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-48)\/40)\/((88\/(-17050))\/((-2)\/(-5))). Let x(v) = 2*v**2 + 5*v - 2. Let u be x(3). Calculate the greatest common divisor of f and u.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2943479252925+-0.4\nAnswer: -2943479252925.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = -4*o - 4, -4*z + o + 3*o = -4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.152 + 52.648. Let v = 53 - y. Which is the nearest to v? (a) -2 (b) 3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000005917 rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.8 (b) 1\/3 (c) 1\/5 (d) -1\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h. Let w be ((-45)\/(-27))\/((-5)\/(-6)). Let c be o(w). Let s(b) = b - 1. Let z be s(5). Solve 3*p = -u + z*p + 4, 8 = c*u - 3*p for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44805975 is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3*m**2 - 13*m - 1. Let h(a) = -a. Calculate h(u(x)).\nAnswer: -3*x**2 + 13*x + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1971 - 303 = 6*t. Let c = t + 388. Let l(g) = g**3 - 4*g**2 + 2*g - 2. Calculate the lowest common multiple of l(5) and c.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.12504 and 0.0129.\nAnswer: -0.001613016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1081 is divided by 57?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-15)\/100 + 18\/(-72) - (-2)\/(-70). Let o = -0.3 - -0.2. What is the smallest value in 4, s, o, 0.01?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/520*13)\/(15\/24)*(-80)\/(-792)?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -2) + (26 - 11 - 12 - 49) + 0?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (208\/39*2\/(-12))\/((-2)\/(-2))?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 1)*(38*u**4 - 54*u - 129*u**4 + 98*u**4) as n*u**2 + w*u**3 + o + l*u + y*u**4 and give l.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1107)\/(-728) - (-8560)\/479360?\nAnswer: 20\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 44964355 to the nearest integer?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 4143.66mg?\nAnswer: 4143660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 478495 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16724 - 116794 = -77*h. What is the thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 10 = -2*m, 40 = 8*m + 16*t - 18*t. Solve -4*k - m*c + 3 + 1 = 0, 4*c + 4 = 4*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 51 = -3*j + 185, -4*l + 130 = j. What is the greatest common divisor of l and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*c = -34*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 24214100022?\nAnswer: 24214100032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39488555.\nAnswer: 5, 19, 415669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/23)\/(y**4*y))\/(y**2*y**(-1)) assuming y is positive.\nAnswer: y**(-140\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 3*z = -162. Suppose -4*j + 22 = i - 20, -2*i - 2*j + z = 0. What is the remainder when i is divided by -3*((-44)\/12 + 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t = 10*t - 71*t + 2108. What is the remainder when 7779 is divided by t?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a tonne in kilograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 47a + -3?\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 1:36 PM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -36\/11, -0.1, 3, 203, 36\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (182\/13)\/(-1 - -3) + (-165)\/20?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v - 50994 + 906 = 0. What are the prime factors of v?\nAnswer: 2, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -5*x + 12. What is p(12)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of -3*u**2 + u + 1. Let j be (1\/1*-1)\/1. What is n(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -126*h + 101 - 201 + 100 as r + w*h and give w.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 49 + -44. Let n = -18 - 123. Let z = 141 + n. Solve -y*b + 3*g - 4*g - 15 = z, 0 = 2*b - 5*g - 21 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -6*o - 6. Let n = -4138 + 4143. Let d(u) = 13*u + 11. Calculate n*k(y) + 3*d(y).\nAnswer: 9*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 127 - 130. Let j(h) = h**2 + 1. Let y(u) = -4*u**2 + 2*u - 3. Calculate g*j(a) - y(a).\nAnswer: a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 5*g**2 - 32575*g + 55878250. Let x(d) = -5*d**2 + 32746*d - 55878249. Let m(k) = -4*c(k) - 5*x(k). Suppose m(s) = 0. Calculate s.\nAnswer: 3343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 249531 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 82 - ((-1 - -3) + 0). Suppose 59 = 4*t + n, -t + 5*n + c = 4*t. What is the remainder when 44 is divided by t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(sqrt(12)*2) - sqrt(7) - sqrt(7))*-5 - (2*sqrt(560))\/sqrt(5).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - (-12 - -22 - 19)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of -w**6\/60 + w**3\/2 + w**2. Let d(u) be the first derivative of i(u). Let r(v) = -2*v. Give d(r(t)).\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8.9 + -0.1. Let g = f + 9.9. Sort 0.1, g, -2.\nAnswer: -2, 0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 856631.1l in millilitres?\nAnswer: 856631100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3*c - 52. Suppose -2*z = z - 4*m - 34, -5*z = -4*m - 70. Let l be a(z). Sort 5, 3, l, -3 in increasing order.\nAnswer: -3, l, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -643735, -643753, -643771, -643789, -643807?\nAnswer: -643825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-9)*3 + 1. Suppose 0*q - 5*h = -g*q + 17, 0 = -3*h - 15. Let v be q\/(-14) - 8\/14. Which is smaller: v or 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48 - f**2 - f + 4*f + 46 + 2*f**4 to p*f**3 + c + m*f**4 + k*f + i*f**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -1441.\nAnswer: -2\/1441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/((-7 - -5)\/(-20)). Solve f + v = 5*f, 32 = -4*a + 4*f for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22431283097 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10222 - 10?\nAnswer: 10212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1898 - 1898 - 38*x**2 + 17*x**2.\nAnswer: -21*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**4\/2 + 491*z**3\/2 - 1747*z**2 - 1992*z.\nAnswer: z*(z - 8)*(z + 1)*(z + 498)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 481 divide 1047883512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u + 3*t - 4 = 9*u, 5*t = -2*u. Solve u*q + 25 = v, 7*v - q - 24 = 3*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 593718?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 11:24 PM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -199, 2, 1, 3, -0.4, 4, -12 in increasing order.\nAnswer: -199, -12, -0.4, 1, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28761 - 57465 + 28741 = g + 5*w, -2*g - 5*w + 34 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of 19*h**4\/2 + 4*h**3\/3 + 18. What is the third derivative of y(t) wrt t?\nAnswer: 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 71.42 to zero decimal places.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 906 > -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 0*z**3 + 3*z**3 + 9*z**2 + 10 - 9*z - z**3 - 3*z**3. Let s be f(8). Suppose 41*o - 66 = 19*o. Solve -u - s*u - o*w = -21, w - 1 = u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 1 = 15. Let s(l) = l**2 - 12*l + 2. Let c be s(12). Let n(r) = -9 - 2*r - r**c + 4 + 7. Calculate n(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 224*j + 7282. Determine u(-35).\nAnswer: -558","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 41077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 126181448 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.14, -0.13, -9, -21?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3913 is divided by 64.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a century in decades?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-46 + -24 - -158) + -43?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 16) to base 13\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 77*m**3 - 10*m**2 + m - 15. Is q(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 65 and 4732.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 divided by -1572?\nAnswer: -65\/1572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/4)\/v)**(-10)*((v*v**2)\/v)**43 assuming v is positive.\nAnswer: v**(187\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1261\/194*(-351)\/3042.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8600*g**3 - 6467 wrt g.\nAnswer: 25800*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j + 37. Let q be t(23). What is the highest common divisor of 98 and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*z + 30 = -19*z - 2*o + 113 + 19, -5*z + 30 = -o - 3 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -5*m**2 - 180*m + 2. Let u be r(-36). Solve -6 = 2*l - 3*t, 3*t + 12 = -4*l - u*t for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -10*k + 4. Let n(y) = -3097*y + 8. Determine -n(b) + 2*u(b).\nAnswer: 3077*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -903*l + 461*l = -448*l + 4*t - 16, -5*t = 5*l - 20 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-1 + sqrt(304) + sqrt(304))**2 + sqrt(304) + -4)*3 + -5.\nAnswer: -36*sqrt(19) + 3643","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zwzwzdddzzd. What is prob of sequence zzwd?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of j**3 + 2*j**2 - 6*j - 8138 wrt j?\nAnswer: 3*j**2 + 4*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y**2 - 103*y - 532. Determine l(-46).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13154694, -26309388, -39464082?\nAnswer: -52618776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1239 - 1238. Let j be 10\/(-14)*(-12)\/(-30). Let l = 15\/2 + -7. What is the fourth biggest value in l, -0.3, j, p?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/12)\/(3*9\/(-702)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-41)*3\/(-216)*-9*6\/3\nAnswer: -3\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27877 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 107 - 177. Let q = y + 74. Which is the third biggest value? (a) -4 (b) q (c) 0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24650 and 20538380.\nAnswer: 4930","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -342 + -24?\nAnswer: -421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eppepgeegpgcppgpee. What is prob of picking 2 p and 1 g?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + (0 - -6 - (-43 + 6 + (17 - 5))).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7 - -4 - -12 - (-7 - (11 - 9))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 + r + 2. Let z be m(0). Suppose 7*x + t = 2*x + 221, -53 = -x + z*t. Does 45 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (2988\/(-24))\/((-2)\/124)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, g: 4, m: 5}. Give prob of picking 4 g.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = l - 1. Let x be l\/(1 - (-3)\/(-2)). Let a(u) = x + 6*u + 3 + 0*u. Let q(p) = 15*p + 12. Give 12*a(y) - 5*q(y).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.249305 and -0.13.\nAnswer: -0.16240965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkrjcsjjrjljr. What is prob of sequence jks?\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27693.1 - 27693. Which is the biggest value? (a) -3\/4 (b) 3 (c) -80 (d) 1 (e) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2913 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 7:03 AM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 436982?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*k + 3*k - 3*k + (7 - 4*k - 7)*(-1 - 1 + 1) + (2 - 2 - 1)*(-k - 2*k + k) as r*k + d and give r.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -42330335.1 to the nearest one hundred thousand.\nAnswer: -42300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33034?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 10*b**3 - 12. Let i(q) = -10*q**3 + 18. Let g(h) = 4*i(h) + 5*p(h). Let v(k) = -k**3 - 1. Calculate g(m) + 12*v(m).\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00671508629 rounded to 7 dps?\nAnswer: 0.0067151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of 0*j**3 + 0 + 0*j**5 + 0*j - 17\/120*j**6 + 6*j**2 + 1\/6*j**4. What is the second derivative of v(b) wrt b?\nAnswer: -102*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1113*a - 28570 = 928*a - 693*a + 63094 for a.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 5*n**2 + 12*n - 228. Calculate s(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 69*n**3 - 2*n**2 + 69*n - 68. Determine o(1).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.02 + 0.45. Let n = -0.03 + y. Suppose -c - 2*c = 9. Sort c, 3\/2, n in descending order.\nAnswer: 3\/2, n, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of 3*t**5\/16 + 13*t**4\/48 - t**3\/12 + 47*t - 53. Let p(m) be the first derivative of s(m). What is y in p(y) = 0?\nAnswer: -1, 0, 2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: -5b11c3 (base 14) to base 13\nAnswer: -8509a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15816503 to the power of 1\/2, to the nearest integer?\nAnswer: 3977","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228) - sqrt(228)*2)\/sqrt(12) + ((5*sqrt(76))**2 - sqrt(19)).\nAnswer: -2*sqrt(19) + 1900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 + 18)\/((-1 + 2 + 0)*3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 2 + 10. Calculate the remainder when 34*(10\/z - -3) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 7 - 8 + 61*b + 1. List the prime factors of i(1).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwdqqwk. What is prob of picking 1 d and 1 q?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w - 5*w + 3*w + 4 + w - 4 + (5 - 4 - 3)*(2*w - 2 + 2) + 0*w + w - 4*w + (-4 + 1 + 1)*(w - 6*w + 4*w) - 7*w - 4*w + 2*w to c*w + i and give c.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8 - 5\/((-15)\/(-6)). Let m be 4\/u + 64\/12. Let p(o) = -o**3 + 7*o**2 - 3*o + 1. Does 9 divide p(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14598.\nAnswer: 2, 3, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 8*t**2 - 4*t - 4. Let d be k(-2). Let h = d - -64. Calculate the highest common factor of h and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 763.7427 - 733.13. Let v = z + -30.6. Round v to 3 decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3*p + 14. Let q = 469 + -476. Calculate v(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 623216 - -8?\nAnswer: 623224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -251? (a) 0 (b) -0.288 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 s when two letters picked without replacement from {q: 1, a: 1, s: 1, d: 1, m: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + 1. Let r be ((-36)\/6)\/((-6)\/4). Suppose 0*o = 2*o - r. Solve 3*u = 2*d - 7*d - n, 10 = o*u for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6222607 (base 8) to base 3.\nAnswer: 10002201122022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183 is divided by 21.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9347 = -38*a - 9613 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44986170 and 480?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -591, -4802, -16235, -38502, -75215, -129986?\n\"Answer: -602*n**3 + n**2 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 - o - 2. Suppose -7*i = -4*i + 6. Let w be u(i). Factor 0*c**5 + 4*c**5 + 4*c**4 + 4 + w*c - 22*c**2 - 8*c**3 + 14*c**2.\nAnswer: 4*(c - 1)**2*(c + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-460)\/(-8) + 2\/(-4). What is the highest common factor of f and 114?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*2*(-3 + sqrt(128)).\nAnswer: -64*sqrt(2) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + -7. Suppose -2*m - j*d = -17, -5 = -2*m - d - 0*d. List the prime factors of (53 + -3 + -1)*m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of 1\/2*n**2 + 2 + 4*n. Differentiate y(z) with respect to z.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/99*48*396\/(-880)?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29072904?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 - 5*j - 9. Let p be i(6). Let t be p*(5\/(-15) + -3). Suppose -3*z + 8 = -t. Calculate the remainder when 20 is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -16*x**2 + 2*x - 3. Let q(t) = 8*t**2 - t + 2. Give 3*c(i) + 5*q(i).\nAnswer: -8*i**2 + i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55 - (6 + (-61 - -46)).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - (23 - (10 + 2))) + 10.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**4*d**(-6)*(d\/(d\/d**9)*d)\/(d**(-3\/5)\/d) assuming d is positive.\nAnswer: d**(48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 4 + (-2 - 4 + 4)*(6 + 0 - 4) + 3 - 1 - 3 + 0 + 4 - 1)*(-173*f - 235*f + 66*f).\nAnswer: 1026*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*z - 47 - 10 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2*y - 15 = 0. Suppose 0 = 3*b + 2*u + y, 3*b + 6*u = 2*u - 13. Suppose 2*n - 5*x - b = 0, -4*n + 2*x + 7 = -3. Solve n + 2 = -5*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/8 - ((-3)\/(-8))\/(1\/53).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*l**3\/7 + 1726*l**2\/7 - 3506*l\/7 + 1762\/7.\nAnswer: 2*(l - 1)**2*(9*l + 881)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13861?\nAnswer: 83, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 30*r + 2. Let z(v) = -13*v - 1. Let n(a) = 4*t(a) + 9*z(a). Let l be (-8)\/(-24) + (-16)\/(-6). Determine n(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1201 - -1205. What is the third smallest value in 2\/43, l, 0.29?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 169 - 167 = -z, 3*m + 1020 = 3*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 1. Suppose 18 = -y*m - 10. Let t = m + 26. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) 5 (b) -2\/9 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -957 divided by -319?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**3 + 15*h**2 + 2190*h - 2200.\nAnswer: -5*(h - 22)*(h - 1)*(h + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/15606 + -10128307\/202878. Let b = 11588287273\/286 + -40518432. Let i = b + n. Calculate the common denominator of -29\/4 and i.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.288 + 0.218. Is o > -4\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 123662628 and 3036.\nAnswer: 1360288908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kqkkdqqkdqkkk. Give prob of picking 2 q.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -167224, -334443, -501676, -668929, -836208, -1003519, -1170868?\n\"Answer: -n**3 - n**2 - 167209*n - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(100)\/sqrt(2) - 4*(sqrt(50) + -2))**2.\nAnswer: -480*sqrt(2) + 1864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1\/8, 0.03 in descending order.\nAnswer: 0.03, -1\/8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 6. Let s(h) = h**2 + 5*h + 3. Let z be s(o). Suppose -3*i - 5 = -2, 0 = 3*n + 2*i - 10. Solve -z*a + 5*p = 5, n*a + 2 = p + p for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2.2 and 110349.\nAnswer: 110346.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.2 - -1. Suppose -f - 4*f + 25 = 0. Let z(s) = 2*s**2 - 4*s + 3. Let l be z(2). What is the second smallest value in l, d, f?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -432130 to the nearest 10000.\nAnswer: -430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -25*j. Let c(g) be the third derivative of 0 + 6*g**2 + 1\/12*g**4 + 0*g + 0*g**3. Determine -35*c(a) - 3*k(a).\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a - 13*a - 18 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of -1\/2*r**4 + 0 + 10*r**2 + 0*r - 2*r**3 - 1\/60*r**5. Give s(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 0 + (-5 - (-13 - -11))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5196 - -5456. What is the greatest common factor of 3484 and h?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of 8*o**4 - 61*o**3\/6 - 2*o - 69. What is the second derivative of x(n) wrt n?\nAnswer: 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -5. Let o(t) be the third derivative of t**5\/60 + 7*t**4\/24 + t**3\/6 + t**2. Let k be o(q). Let g(b) = -b - 4. Let w(y) = 1. Give k*w(v) + 2*g(v).\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = -4, -4*u + 62 = -281*z + 287*z for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 4*a**2 - 2*a + 2. Suppose 7*c - 3*c = 12. What is the units digit of o(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**3 + b**2 + 5*b + 3. Let c(j) = 3*j**3 + 2*j**2 + 9*j + 5. What is 3*c(p) - 5*h(p)?\nAnswer: -p**3 + p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14540.6 - 14557.3743. Let f = j - -0.1143. Let m = f + 17. What is m rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 25, 87*c + 62 = 2*z + 89*c. What is the remainder when 117 is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 3024403003?\nAnswer: 3024403013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -41949 (b) 0.4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -7*g**3 - 2*g + 6. Let s = 28 - 22. Let w(a) = -8*a**3 - 2*a + 7. Determine s*r(m) - 5*w(m).\nAnswer: -2*m**3 - 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 8) to base 7.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*u**2 + 12*u**2 + 31*u**4 - 34*u**2 + 8*u**2 wrt u.\nAnswer: 744*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 55*r - 16. Suppose -17 + 5 = -p + 3*a, 0 = -2*p - 3*a + 15. Let w be b(p). Suppose 5*m + l = w, 5*m - 4*m = 2*l + 87. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 4*n - 58626, 27*m - 23*m + 58596 = 4*n. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q - 9*q + 2996 = 0. Is q\/8*68\/(-17) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - 236?\nAnswer: -238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(187) - (1*(sqrt(187) + -2*sqrt(187)) + sqrt(187)) - sqrt(187) - sqrt(187)))\/(2*sqrt(1584) - sqrt(1100)*-1).\nAnswer: 2*sqrt(17)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -4938920?\nAnswer: -4938920","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = n + 90. Let a be 3146\/10 + n\/30. Suppose 2*v - a = -0*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -13*y - 1. Let k be c(-2). Let u = -12 + k. What is the remainder when 38 is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/14))**(3\/16)*n**(-2\/39)*(n\/(n\/n**(16\/3)))\/n)**(-48) assuming n is positive.\nAnswer: n**(-37525\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 l, 1 m, and 1 r when four letters picked without replacement from {m: 1, r: 1, c: 2, n: 3, d: 3, l: 2}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21.9111, -10\/9, 4\/5.\nAnswer: -21.9111, -10\/9, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 14, 19, 22, 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + 12*y**2 - 20*y. Let p be g(10). Which is greater: p or -2\/23?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -79, 1, -5, 0 in decreasing order.\nAnswer: 1, 0, -5, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7, -3, -13, -17, -9?\n\"Answer: j**3 - 6*j**2 + j + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/15 (b) 5 (c) -0.06 (d) 1231\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**4 - 134045*a**3 + a**2 + 179663*a - 2 wrt a?\nAnswer: 48*a - 804270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of -x**5\/60 + 91*x**2. Let s = -22 - -21. Let l(y) = 4*y**3 + 6*y**2. Give s*l(b) - 6*w(b).\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-910)\/(-525)*30)\/(-2)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/1990342 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -902*a - l = -905*a, -4*l - 3 = -2*a - 7*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 1:00 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (37 + (-6 - 22) - (-40 + -2)) + -12.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 46009771303 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -3 (b) 5 (c) 0.5 (d) -64\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 y, and 1 m when three letters picked without replacement from {a: 4, y: 3, m: 1, l: 1, v: 1, q: 2}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 409500 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 96832 divided by 544\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1633 is divided by 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {i: 5, r: 1, j: 1, v: 5}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5858*j**3*u**4 - 2*j**3*u**2 - 39461*j**3*u - 15*j**2*u**5 + j*u**2 wrt u?\nAnswer: -140592*j**3*u - 900*j**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 41\/2 of a millennium?\nAnswer: 2050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6565 + 10.\nAnswer: -6555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 935, 1872, 2809, 3746, 4683, 5620?\n\"Answer: 937*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 p, 1 i, and 1 h when four letters picked without replacement from npuihih?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (120\/25)\/((-2)\/(-55)). Let q(w) = 2*w**2 + 8*w - 12. Let o be q(-6). Calculate the greatest common factor of h and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 213045891 to the power of 1\/2, to the nearest integer?\nAnswer: 14596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -47 - -57. Let w(f) = 18*f + 16*f + m*f - 5*f. Let l(d) = d**2. What is w(l(k))?\nAnswer: 39*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + 87754670.\nAnswer: 87754670.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2 + r**2 + (2 + r - 2)*(r - r - r) - 5*r**2 + 3*r**2 + 0*r**2 + 3*r**2 + 0*r**2 + 0*r**2 in the form q*r + d + u*r**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 89417 = 89309?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 544*x**2 - 49*x + 95. List the prime factors of o(6).\nAnswer: 5, 3877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 3025?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.23243 - 45.66557. What is y rounded to one dp?\nAnswer: -45.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 575871.\nAnswer: 3, 19, 10103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -3*u**2 + 7*u - 6. Let x(i) = -4*i + 134. Let b be x(32). Let m(l) = l**2 + l - 1. Determine b*m(w) - r(w).\nAnswer: 9*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 13*o**2 - 18*o - 238. Let v be 9 + 636\/(-72) - 31\/6. Let s(n) = -12*n**2 + 22*n + 238. Let q(a) = v*j(a) - 4*s(a). Differentiate q(l) wrt l.\nAnswer: -34*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -748, -1531, -2314, -3097, -3880, -4663?\n\"Answer: -783*q + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48, -191, -428, -759, -1184, -1703, -2316?\nAnswer: -3023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 - n + 7. Let m be k(3). Let g(b) = -2*b**3 - 7*b**2 - 3*b + 3. Is g(m) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2*r + 2 = -2*i, 26 = 5*i + 2*r. What is the least common multiple of (16\/28)\/((-5)\/(-385)) and i?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v**3 + 18*v**2. Let g be x(9). Let b be 297\/(-198) + 70\/4 + g. Solve -3*s = -0*q + 3*q - 9, 4*q = -5*s + b for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**3 - 14*n**2 + 196*n + 440 = 0 for n.\nAnswer: -22, -2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 317*x**2 + 2 + 21*x**2 + 23*x**2.\nAnswer: 361*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-2)*3*(-40)\/(-15). Solve 0 = -u + h*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/3*t**2 + 0 + 0*t - 50\/3*t**4 - 40\/3*t**3.\nAnswer: -2*t**2*(5*t + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170263766 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7081, -7086, -7093, -7102?\nAnswer: -7113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/1639604 and 67\/10657426?\nAnswer: 21314852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2011 (base 6) to base 15\nAnswer: -1e4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4318300*m**4 - 13757660?\nAnswer: -17273200*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 2*y + 2*y)*(2*y**3 - 4*y**3 - 3*y**3) + (3*y**3 - y**3 - 3*y**3)*(-4*y + 2*y + 4*y).\nAnswer: -17*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -499*r - 2*s = -500*r + 29, 0 = 3*s + 27. Solve r*c + 154 = 33*c for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 10*y - 104. Give j(15).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21*s**5 - 12*s**5 + 29*s**5 - 3*s**3 - 4*s**5 + 3*s**3 + (-4*s**3 + 3*s**3 - s**3)*(-3*s**2 + 3*s - 3*s).\nAnswer: 40*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10646004 is divided by 1774333.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 13 = -5. Let g = 8 - 2. Find the common denominator of n\/g + 46\/20 and 81\/4.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46 + -3 + (-44 - 7).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m**2)*m\/m**(1\/2))**35 assuming m is positive.\nAnswer: m**(-105\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13512700739 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -15*v**3 - 2*v + 1. What is t(1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -87 - -84. Let t be 1\/v*594\/(-24). Is 8 != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5045.87 + 5046. Sort 2, 2.7, z in descending order.\nAnswer: 2.7, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*q = 4*u + 8331 - 3279, -q = -2*u + 84 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/4 (b) 6\/59 (c) 3\/11 (d) -144\/197\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15923, -15908, -15879, -15830, -15755, -15648?\nAnswer: -15503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 21\/2 of a meter?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 213509587 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/70?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -97, -205, -345, -511, -697?\nAnswer: -897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 84*u - 375 - 446 - 187 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -53133 + 106279 - 53137 + 7*h. Let c(t) = -6*t - 8. Suppose v + 3*v = 20. Let f(z) = v*i(z) + 6*c(z). Calculate f(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2856)\/(-21) + -129 - (7 + 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/(-14))\/((-24)\/(-672)). Let p(i) = 5*i + 93. Let t be p(z). Solve 0 = -2*b - 2*h + 16, 0 = 4*b - 2*h - 3*h + t for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 12:37 PM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -18*z**2. Let c(n) = 2*n + 17. Let j(m) = -3*m - 16. Let l(k) = 2*c(k) + 3*j(k). Let u be l(-4). Let y(s) = -s - 3*s + u*s - s. Determine f(y(q)).\nAnswer: -18*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 2, 3, -1 in increasing order.\nAnswer: -1, 2, 3, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/3, 1\/6, -2\/9, -0.5, -76?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6.1 + -0.1. Which is smaller: o or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6536.698 millennia to years.\nAnswer: 6536698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 47731 and 11326.\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 209613, 209528, 209387, 209190, 208937, 208628, 208263?\nAnswer: 207842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -412, -821, -1218, -1597, -1952, -2277, -2566, -2813?\nAnswer: -3012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*y + 14*y - 16*y - 5*y + 21*y.\nAnswer: -47*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 17.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 2*m - 2*m)*(2*m**2 - 4*m**2 - m**2) + (-m - 2*m - m)*(3 - m - 3 + (2*m - m - 3*m)*(1 + 1 + 0))*(2*m + 2*m - 3*m).\nAnswer: 23*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x - 5*x - 9*x + x**2 + (3*x + x - 2*x)*(-2*x + 2*x - x).\nAnswer: -x**2 - 15*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -179*x = -10375 - 30437. What is the highest common factor of x and 798?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 5\/57212?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/3)\/a*a*a*(a\/(a*a\/a**2))\/a*a)\/(a**16*(a*a*a\/(a*a**(-5\/4))*a*a*a)\/a) assuming a is positive.\nAnswer: a**(-223\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 458496593?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 221 divided by 24?\nAnswer: 221\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40 - 39.4. Let l be ((1\/(-2))\/1)\/(2\/(-28)). Let j be 10*l\/(-18) + 4. Which is the closest to 0? (a) 5\/3 (b) j (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f + 50*f**2 - 3*f - f - 3*f + 11. Is u(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/101, 4, 228, -1\/6 in increasing order.\nAnswer: -1\/6, -5\/101, 4, 228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -126 + -46. Let c = -24052.5381 + 24224.538021. Let f = q + c. Round f to five decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1139 + 385 - 11*y + 373 + 381 + 12*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 317*d**5 - 646*d**2?\nAnswer: 19020*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -4. Let b = -255 + 254.6. Suppose m = -0*m + 3*i - 3, -3*m = 4*i + 61. Sort r, b, m in descending order.\nAnswer: r, b, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k**(-1\/5)\/k)\/(k*k**(2\/3)\/k))\/((k\/(k*(k\/k**(-2\/3)*k)\/k))\/k*k)**(10\/9))**(5\/7))**(-1) assuming k is positive.\nAnswer: k**(2\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2963*d = 2962*d + 137, -3*u + 207 = d. Solve 45*w = 31*w + u for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 406 is divided by 68?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vllhlvqhqlhlhhh. What is prob of picking 1 q and 1 v?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 7 - 8)*(36*b - 5*b**4 - 36*b)*(-2*b - 2*b + 3*b).\nAnswer: -45*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -13*c**3 - 48*c**2 + 7*c + 8. Let g(s) = -2*s**3 - s**2 + s + 1. What is -2*d(i) + 14*g(i)?\nAnswer: -2*i**3 + 82*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3816, 15114, 33878, 60108, 93804, 134966, 183594?\nAnswer: 239688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/5)\/((-2)\/10). Suppose 0 = -0*w - 2*w + x*u - 10, 0 = -5*w - u + 30. Let h = -0.2674 + 0.1674. What is the closest to h in -5, 4, w?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3725, 3, -1 in descending order.\nAnswer: 3725, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -14*t. Let s(h) = -66 + 66 - h. Let o = -11 + 10. Let i(v) = o*m(v) - 6*s(v). Let z(n) = -2*n. Calculate i(z(b)).\nAnswer: -40*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-21)*9*-1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4\/16311 - 1093045\/848172. Find the common denominator of 23\/12 and f.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4134 and 472056.\nAnswer: 25018968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 4*s - 2. Let l(n) = 2*n**2 - 14*n + 4. Let p be l(7). Let a be y(p). Calculate the highest common factor of a and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7226c + -2?\nAnswer: 7226a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-6))\/(1435\/52808*((-12)\/(-5))\/(-2))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76149 = -30*m - 1719. What is the thousands digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -131 - 64 - 3*y**3 + 2*y**3 + 4*y + 37 + 26*y**2 + 15*y**2. Calculate z(41).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 12, -4, 3, 58, 1136 in decreasing order.\nAnswer: 1136, 58, 12, 5, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 612954 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 80\/25 - (-252)\/390\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -5*l**3 - 1875*l**2 - 182160*l - 1184960 = 0.\nAnswer: -184, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3547*w + 29. Let v be z(25). Let s be 4\/10 + (v\/60)\/4. What is the highest common factor of 37 and s?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1205\/(-5))\/((-1)\/41) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q**4 + 2*q**4 - 5*q**4)*(-2*q + 0*q + 3*q) + 0*q**3 + 0*q**3 - 3*q**5 + (-20 + 20 + 19*q**3)*(0*q**2 + 4*q**2 + 0*q**2).\nAnswer: 74*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12672808 + -0.1.\nAnswer: -12672808.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3*l + 3510 = 735, 2*l = q + 1388. Let z = q - -2281. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(315\/6)*21\/(-14).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of 4*i + 17 + 0*i**2 + 0*i**3 + 1\/12*i**4. Calculate t(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5832097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -5 (b) 0.3 (c) -11 (d) 0 (e) -3 (f) 116\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4906552 and 18?\nAnswer: 44158968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 768 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 (base 8) in base 5?\nAnswer: -104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -1001000101101110011?\nAnswer: 1001000101101110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2250002*o - 4. Let p be i(2). What is p rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, 1\/4, -24, -5, 0?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 864838\/928 - 2\/(-32)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (228 - 318888\/1442)\/(11\/(-7)).\nAnswer: -48\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19950732 to the nearest integer?\nAnswer: 4467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2573 - 20*l - 2573.\nAnswer: -20*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2652 and 231714452.\nAnswer: 231714452.2652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -71 + 70. Let z(x) = -23*x**3 + x**2 + 2*x + 2. What is the lowest common multiple of z(t) and 15?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 5. Let h(j) = -j**2 - 5*j + 3. Let r be h(v). Let k = 0 + r. Solve m + 17 = 5*o, 5*m - k*o = -o - 16 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 24\/20*(2 + -7). Let t = 46 - 44. Suppose 3*h - 2*h + 3*j = -5, -3*h - t*j - 8 = 0. Which is smaller: c or h?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 5 = -4*p - 1, 5 = -p + 2*n. Suppose p*m - 31 - 62 = 0. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + 11*j**2 - 9*j - 6. Let p be s(10). Suppose 3*f + 2*f + 25 = 0, p*g = -f + 15. Solve -4*b - 3 = g for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6 - (5 + -3) - 0. Suppose 3*m = 7*h - 2*h - 9, 3*h - 15 = 5*m. Suppose h*q = q - 25. Solve q = g + n*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4)\/sqrt(2))**2*1 - sqrt(22)\/sqrt(99) - ((sqrt(36)\/sqrt(2))**2 + -3 + (sqrt(2) - -1*sqrt(2))).\nAnswer: -13 - 7*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -53*r - 905. List the prime factors of b(-32).\nAnswer: 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -3*h + 39. Let i(l) = -1. Give 6*a(j) + 234*i(j).\nAnswer: -18*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that t**2\/8 + 297*t\/8 = 0.\nAnswer: -297, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9.8 - -7534.69.\nAnswer: 7544.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.36 + 1.5\nAnswer: 1.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + 19*z + 16. Calculate the least common multiple of s(-19) and 14\/6 + 1\/(-3) + 246.\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - -5) + (-8 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3302 - -29717\/9. Which is the second biggest value? (a) 2 (b) 0 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (-4 - -4)) + -7 + 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -2*j + j + 8, 32 = 107*p - 104*p - 5021*j + 5016*j for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, o: 2, u: 5}. Give prob of sequence uood.\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 24 = 3*l - 4*m, 5*m - 40 = -2*l. Let i be -4*l\/(-16)*4. Let v be ((-6)\/(-9))\/(i\/(-105)). Which is the biggest value? (a) -2\/3 (b) v (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k**(-1\/7)\/k*k)\/k))\/(k\/((k*k\/k**(-1\/15))\/k)))\/((k\/(k**(3\/2)*k))\/k**(-4\/9)) assuming k is positive.\nAnswer: k**(2057\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-32)\/12*(-18)\/(-4). Suppose 2*b + 66 - 28 = 2*u, 4*u - 31 = b. Let k = b - j. Let p(m) = -m**2 - 6*m - 4. Determine p(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + -11. Let y be 3\/(-9)*1 + 2\/q. Put -10, 2\/3, y in ascending order.\nAnswer: -10, y, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 AM and 11:40 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2 = 3. Which is smaller: 1\/16 or r?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 83, 302, 663, 1166, 1811, 2598, 3527?\nAnswer: 4598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -270 = 3*g - 276. Solve 40 = -g*c + 34 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -697 + 1601. What is the hundreds digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(99) - (-1 + sqrt(99)) - sqrt(99) - sqrt(99)) + sqrt(99)))**2*-5 + 1.\nAnswer: -4499 + 270*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -103*q**3 + 69*q**3 - 55*q**3 + (-3*q + 3*q - 4*q)*(-2*q**2 + 11*q**2 + 5*q**2) to s*q**2 + i*q**3 + y*q + k and give i.\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 - -26. Suppose u*j + 246 = 10*j. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -31*u + 135 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*b - 3*b - 2*b)*(-11 + 4 + 2) + 1 + 3*b - 1 to the form r*b + n and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -864*z = -560*z + 6688 for z.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-337)\/(-17)*((-208)\/(-91))\/16. Let t = -19\/7 + d. Which is the closest to -1? (a) -5 (b) t (c) 25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4099, -7860, -11375, -14644, -17667?\nAnswer: -20444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*a - 5*a. Suppose -a*u = -2*p + 2, -2*p - 2*p + 12 = -2*u. What is the highest common factor of u and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 PM and 4:06 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pgwupro. What is prob of sequence po?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57814, -57863, -57996, -58255, -58682?\nAnswer: -59319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -456875, 5, -3, -2, 8, 2, 4.\nAnswer: -456875, -3, -2, 2, 4, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12702 + 12489. Sort 1, -2, 2, d in descending order.\nAnswer: 2, 1, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -133db + 2?\nAnswer: -133d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13855351 to the nearest integer?\nAnswer: 3722","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 611 - 3057\/5. Which is the second smallest value? (a) j (b) -1 (c) -38\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - 5)*(130\/30 - 6). Find the third derivative of -16743*m**r + 16745*m**5 + 45*m**3 - 168*m**2 + 40*m**2 wrt m.\nAnswer: 120*m**2 + 270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d**2 - 3*d + 3. Let h be n(6). Let v be 3167\/(-55) - (-4)\/10. Let j = v + h. What is the second biggest value in j, 3\/2, 2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 6*g**2 + 2*g - 4. Let f(x) = 3*x - 5*x**2 + x + x + 4*x**3 - 11 - 14*x**2. Let b(u) = 2*f(u) - 7*m(u). Let c be b(-5). Sort c, -2, -3.\nAnswer: -3, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8905 - 0?\nAnswer: 8905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-2 + -12) - 2) + (121 + -254 - -37)\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 374.39.\nAnswer: -374.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.073 - 2.073385. Round p to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -28) + (78 - 91).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 78144 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**4\/m*m*m*m*(m**(-1\/5)\/m)\/m*m*(m\/m**(2\/7))**(-12\/17) assuming m is positive.\nAnswer: m**(2556\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 3*j**2 + 31*j - 10. Let s be x(7). Solve 5*f + s = -2*z, 0*z = -3*f + 2*z - 13 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -294, -587, -878, -1167, -1454, -1739, -2022?\nAnswer: -2303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = 3*c - 8, 5 - 1 = 4*c - f for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 887 divide 1594826?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x**3 - 42584810636*x**2 + 42584810636*x**2.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00069723 to 5 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2952 and 4100?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - -2*sqrt(1539) - (sqrt(76)\/(sqrt(12)\/sqrt(3)) + sqrt(19))) + 0.\nAnswer: 17*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bvbh when four letters picked without replacement from mbchhvbhh?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + 2. Let c be 66\/24 - (-1)\/a. Suppose -4*y + 2 = -z, c*z = -3*y + 2*z + 5. What is the third smallest value in -12, -5\/3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 1) + 9 + -2 + -3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*g*o**3 - 2*g*o**2 - 2*g*o - 47*g + 12795685*o**3 + 516143*o wrt o?\nAnswer: -78*g*o - 4*g + 76774110*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 r when four letters picked without replacement from zfkfrzkryzkzzryykazk?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 4\/3, -10\/7, -1\/7, 0?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 22342563?\nAnswer: 22342564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -4*q + 45. Let x = q - 12. Let y(p) = 3*p - 2. Give y(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -6*m**4 - 2*m**2 + 16*m. Let w(a) = 13*a**4 + 5*a**2 - 33*a. Let l(f) = -5*n(f) - 2*w(f). What is the second derivative of l(x) wrt x?\nAnswer: 48*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2012 (base 7) in base 6?\nAnswer: 3115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 - (0 + 2\/1 + 0). What is the remainder when (7\/(-1) - a) + (-3 - -422) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-21)\/(-6) + (-2)\/4. Let y = -3 + 3. Suppose -1 = f - 5*z, 5*z + y*z = 0. What is the closest to f in -0.3, r, 0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**5 - 39*c**4 + 108*c**3 + 48*c**2 - 480*c + 432 = 0. What is c?\nAnswer: -2, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 7*n - 15. Suppose -30 = -w + 2*p - 7*p, -20 = -5*w + p. Let b be h(w). Suppose b = f + 3*f. 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 the next term in -135537, -135535, -135533, -135531, -135529?\nAnswer: -135527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 7:33 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3943579 is divided by 164301.\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 301448211?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 78.2 + 7.5. Let t = 86.2 - s. What is the nearest to -1 in 9, 3, 4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (0 + (-3*(sqrt(18) + 5)*1)**2)*-2.\nAnswer: -778 - 540*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 923903 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*t**3 - 5*t + 4780*t**4 - 4782*t**4 + 10*t + 3 in the form r*t**2 + h + o*t**4 + d*t + v*t**3 and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h. Let x(b) = 537*b. Calculate q(x(k)).\nAnswer: -537*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 391725\/380794 - -13\/4051. Let d = -105469\/2 - -52723. Find the common denominator of b and d.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 12 - 414475?\nAnswer: -414463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = a - 4*u, 3*u - 20 = -u. Let y = 6 - 2. Suppose 15 = -3*p + 48. Solve -p - a = y*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3401, 3459, 3531, 3623, 3741, 3891?\nAnswer: 4079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 26478 = -t, -5*o - 2*t + 132397 = -4*t. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(10\/3)\/(a\/a**10)*(a**(1\/11)*a)\/(a**(-2\/55)\/a))**(-3\/31) assuming a is positive.\nAnswer: a**(-2386\/1705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 6:58 PM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 95 and 2185?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 332 and 9130?\nAnswer: 18260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-19)\/(-5) + (-7)\/(-35). Let x = 4.356 + 0.044. Let n = x - 4. What is the second biggest value in -0.5, v, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 498 a factor of 8853444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31 + -17. Let d(t) = 26*t - 20. Let i be d(7). What is the remainder when 10\/(-4)*i\/(-15) is divided by j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b - 2*b**2 - 2*b - 5*b)*(-272*b**3 - 225*b**3 + 576*b**3) + (-6*b**3 + 0*b**3 + 16*b**3)*(-3*b - b + b**2 + b).\nAnswer: -148*b**5 - 188*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 PM and 10:26 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in -0.05464, 61, 0.2, 0.1, -4, -2?\nAnswer: -0.05464","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -17972.423 rounded to the nearest 1000?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (7 + -13)*1\/(-3). Suppose 2*y - 15 = 7*y + 3*l, 3*y + 10 = -v*l. Suppose 5*g - 2*g - 51 = y. What is the remainder when 50 is divided by g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4509010 divided by 5\nAnswer: 901802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - 8*i**2 - i - 11. Let l be u(-8). Let r = -3.595 + -0.405. Sort -5\/6, r, l, -0.3 in increasing order.\nAnswer: r, l, -5\/6, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15310127 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**3 - 5*a - 5. Let t(m) = -m**3. What is g(o) + 4*t(o)?\nAnswer: -2*o**3 - 5*o - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vddq when four letters picked without replacement from sbbvdddbddqbqbvbqddb?\nAnswer: 7\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4077 and 11?\nAnswer: 44847","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21568969 or -21568970?\nAnswer: -21568970","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5 - -2)\/((1 - (-44)\/(-33))*-3). Solve m*j = 8*j + 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.71 - -9.71. What is the biggest value in 0.17, n, 0.1, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4442 - 241512?\nAnswer: -233030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(12\/11)\/z**(-12)*(z\/(z*z*(z\/(z*z*z*z*z**(-22)*z*z*z*z))\/z))\/z*z**(2\/25)\/z*z assuming z is positive.\nAnswer: z**(-778\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 5.4. Let h(q) = 2*q**2 - 5*q - 4. Let r be h(4). Suppose 0 = 9*w - 5*w - r. Sort n, w, 0.4.\nAnswer: n, 0.4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, k: 8, s: 2}. Give prob of picking 2 k and 2 s.\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -173*x**3 - 3*x**2 + x + 3. Let s be y(-1). Factor -l**3 + 190 + 128*l + 432 + 32*l**2 + 2*l**3 - s + 157*l.\nAnswer: (l + 2)*(l + 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 209*q**2 - 18. Let a(t) = -5838*t. Calculate r(a(i)).\nAnswer: 7123188996*i**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 261 divided by 9\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of 1\/6*l**3 + 0 - l + 0*l**2. Let z(d) be the third derivative of 11*d**5\/60 - 2898*d**2 + 2. What is c(z(p))?\nAnswer: 11*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 1)*(1048*d - 228*d + 28*d + 289*d).\nAnswer: 2274*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65369 divided by -131.\nAnswer: -499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a century in years?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 + 8 + 0*c + 3 - 37*c as t + h*c and give h.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 2:50 PM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1767*b**4 + 882 wrt b?\nAnswer: 7068*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4291434 and 21693.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 875.9945 decades in centuries?\nAnswer: 87.59945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 + o + 1. Let m(z) = -9*z**2 + 2*z + 2. Determine -m(k) + 2*p(k).\nAnswer: 7*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/5)\/(4 + (-295)\/75). Suppose -4*s + 532 = -92. Calculate the greatest common divisor of s and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.34673 rounded to two dps?\nAnswer: -15.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 11101011100100 (base 2) to base 16\nAnswer: 3ae4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 357 = 3*v. Let s = v + 75. Suppose 0 = -y - 3*t + 41, -149 = -6*y + 3*y + 4*t. Calculate the remainder when y is divided by s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 36, 40, 28, -6?\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of p**7\/840 + p**4\/2 + 6*p**2. Let m(s) be the second derivative of b(s). Let w(v) = 3*v - 2*v + v. Calculate w(m(i)).\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3*q - 276 = 0, 0 = 3*i + 43*q - 38*q + 828. Let x be (36 + -45)\/(63\/i). Are 38 and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1387239?\nAnswer: 3, 7, 9437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -114 + -5?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2 - 5*j**2 + 2*j**3 - 6 - 6*j - 2 - 2*j**2. Let s be g(6). Suppose 0*m = -2*m + s. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-476)\/(-63))\/(-17)*2\/(-8). What is the second smallest value in -1\/69, m, -0.2?\nAnswer: -1\/69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 7, r: 4}. Give prob of picking 3 r.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 4470?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -59370 divided by -6?\nAnswer: 9895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63 is divided by 16\/(-18)*-6*3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 486\/(-3 + 6) + 3*1. Suppose -t = -2*r + 7*r. Let u = -27 - r. What is the highest common divisor of u and 78?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = -3*h + h, -h + 35*l - 10 = 32*l for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -42*u + 43*u. Let x = 853 + -848. What is the remainder when u is divided by x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1004 times 77.033?\nAnswer: -77341.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -3*t**2 - 19*t + 3. Let d(x) = 2*x**2 + 13*x - 2. Calculate 7*d(s) + 5*l(s).\nAnswer: -s**2 - 4*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35)\/((-3500)\/(-25))*(8\/5)\/(-4)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -37.4, 4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 20, f - 2*n - 3*n - 28 = 0. Suppose 0 = -5*d - 4*t + 1091, 891 = f*d + 3*t + 237. What are the prime factors of d?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.84086 times -0.02?\nAnswer: 0.1168172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7263 and 232060113.\nAnswer: 232060113","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1414*l**5 - 2*l**4 - 42*l**2 - l + 55 wrt l?\nAnswer: 84840*l**2 - 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of -p**8\/5880 + p**6\/210 - 2*p**5\/105 + p**4\/28 + 2*p**3\/3 - 9*p - 250. Let k(m) be the third derivative of v(m). Factor k(i).\nAnswer: -2*(i - 1)**3*(i + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.06 and 79493428?\nAnswer: -4769605.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 19) + (-82 - -101) + 6\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1389855301?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -78*x**3 + 151*x**2 + 4*x - 2. Let s(q) = q**3 + q**2 + 2*q - 1. Let k(c) = j(c) - 2*s(c). Find the third derivative of k(l) wrt l.\nAnswer: -480","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17237 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 108630191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(448) + 1 + sqrt(448) + 0.\nAnswer: 5 + 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -17*m**2 - 11*m - 5. Let l(x) = 6*x**2 + 4*x + 2. Let z(f) = -11*l(f) - 4*v(f). Factor z(j).\nAnswer: 2*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 102122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25\/50 + (-22)\/(-4))*81\/54?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*k*v*w - k*v + 22*k - 157108*v + 35*w + 726 wrt v.\nAnswer: -4*k*w - k - 157108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1001882898707 - -1001877415752.29861. Let v = -5482985 - u. Let k = v + 30.3. Round k to four decimal places.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 1\/2 (c) 3\/2 (d) -0.4 (e) -807\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 11*q**2 - 131*q - 1719. Calculate z(-9).\nAnswer: 351","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1c0ac (base 13) to base 9.\nAnswer: 83475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57 and 54511.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 31257979 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/25826 and 57\/8695.\nAnswer: 6069110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of b**8\/126 - 11*b**7\/315 - b**6\/60 - 14*b**2. Factor h(q).\nAnswer: 2*q**3*(q - 3)*(4*q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11516 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*g**3*h**2 + 26817*g**2*h**2 + 644*g*h + 5*g + 10*h**2 wrt g?\nAnswer: -60*g*h**2 + 53634*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -48 - -84. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 5*w. Let v(c) = -3*c**3 + c**2 - 4*c - 4. Let a be v(-1). Let r be 4 - -3*4\/(-6). Let j(d) = 3*d - r*d - a*d + 0*d. Give i(j(h)).\nAnswer: -15*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 319 - -12. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 8, y: 5, q: 3}. Give prob of sequence sqys.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30 - -8. Let g be b - -3*(2 - 1). Let x = 31 + g. Calculate the smallest common multiple of x and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 118*n + 51*n - 11 + 4.\nAnswer: -67*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*x + 226 = 0, 3*x - 656 = -3*q + 5*x. Suppose 8*g - 10*g = -4*t + 900, -t = -3*g - q. List the prime factors of t.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 3*f**2 + f - 2. Let u(k) = -2 + 0*k + 2*k + 0*k**2 - k**2 + 6. Let r be u(2). What is the units digit of b(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + (-9)\/(-12) + (-2)\/(-8). Suppose 0 = 3*b - 21 - j. What is the second smallest value in 0.2, b, -0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -15*x - 3. Let r be f(-1). Let y be ((-4)\/r)\/((-2)\/(-18)). Put 5, -1, y in decreasing order.\nAnswer: 5, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = 4*f - 16, 4 = -39*f + 39*f - 2*i for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 66.8? (a) 3 (b) -0.1 (c) -4 (d) -165\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25038.\nAnswer: 2, 3, 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -910918 <= -910949?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200)*2*-4 + sqrt(200) - -1*1*sqrt(200))**2.\nAnswer: 7200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -n - 560*q + 561*q - 40, 19*q = -4*n + 615 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - 6*g + 33. Let i be p(8). Suppose 4*d = -b + i + 86, 3*d = -5*b + 760. Calculate the greatest common divisor of b and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 4\/145 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -26 (c) -0.15 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -31.6\nAnswer: -15.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14046\/29 + 2144746\/4437. Which is greater: 0 or o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 46716861771 and 1409.\nAnswer: 46716863180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccxwxw. Give prob of picking 2 w and 1 x.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2925?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, i: 1, d: 2, p: 1, t: 1, y: 2}. Give prob of sequence ipd.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.798 + -3.8. Let b = -2.5 + 0.5. Let y = o - b. What is y rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(1\/3))**(-2\/63)*(g*g*g**(4\/7)*g*g)**(-19) assuming g is positive.\nAnswer: g**(-16420\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 844561 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29665 = 11*s - 136145. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(55) - 1*sqrt(165)\/sqrt(3)))\/(-5*(sqrt(80)*-2 - sqrt(80)) + sqrt(80))*-5)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.08 in -0.5, 7, -4, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/16 in 47, 0.4, -31, 2\/21?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 559 + -556. Let k(m) = -m - 3. Let d(o) = -o**3 + o + 5. Give z*d(h) + 5*k(h).\nAnswer: -3*h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -2, -1, 3 in ascending order.\nAnswer: -19, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tdyb when four letters picked without replacement from yyybytyyydzzyyyy.\nAnswer: 11\/43680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 66905 from 0.4.\nAnswer: -66904.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 6*(-2 + sqrt(63)).\nAnswer: -15 + 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 41 + -2. Let f = k - -77. Suppose 4*l = -f + 476. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 12:34 PM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -83, -140, -197?\n\"Answer: -57*y - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 2\/7, -256?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0504 + 871431640.\nAnswer: 871431640.0504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w + 8*w - 13*w + 34)*(-3 + 3 + 3)*(37 - 37 + 8*w).\nAnswer: -24*w**2 + 816*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (50\/(-300))\/(-1 - (-3290)\/(-1644) - -3) is divided by 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 674*d + 90954 = -793*d for d.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(114) - (sqrt(114) + 3*sqrt(114) + sqrt(114))*-6)*-4)\/(sqrt(216) + (sqrt(216) + -4*sqrt(216) - sqrt(216))*6))**2.\nAnswer: 73036\/4761","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1196055 and 26711895?\nAnswer: 80135685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 7, t: 7, w: 1, l: 3, s: 2}. Give prob of picking 1 t, 1 s, and 1 y.\nAnswer: 49\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9.1 - -7.3. What is the second smallest value in v, 3, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1447 + -883. What are the prime factors of m?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 PM and 11:45 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 673398 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 6*a = -5*o + 5, -3*a - o = -14. Suppose 25 = 2*w - 3*w - 5*p, 0 = -5*w + 5*p - a. Let c(l) = l**3 + 4*l**2 - 5*l - 7. Give c(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2*c + 1179 = 0. Let t(l) = c*l - 12 + 3 - 405*l. What are the prime factors of t(-6)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -23)*(-46 + -22 - -67)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3155\/72 - 21797\/504. What is a in -104\/7*a + 18\/7*a**4 + 66\/7*a**3 - g*a**2 + 48\/7 = 0?\nAnswer: -3, -2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/5111 + 5120\/45999. Let x = -0.2 - 0.8. Sort x, -5, f.\nAnswer: -5, x, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -5*d**3 - 365*d**2 + 4480*d - 11760 = 0.\nAnswer: -84, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - 4*d)*(-d + d - 3*d)*(0 - 2 + 0) + (5*d + 4*d - d)*(1 - d - 1) to n*d + y + o*d**2 and give o.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5.747562 millilitres?\nAnswer: 0.005747562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -51*f + 1826. Give u(36).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 6*o**2 + 2*o + 4. Let n be (-3)\/(-12) + 6\/8. Let t be n\/(1\/(-7)*1). Does 13 divide a(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26b (base 13) to base 10\nAnswer: -427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1d65 (base 16) to base 2\nAnswer: 1110101100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 + -15. Do s and 2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -4*u**3 + 53*u - 3. Let x(z) = z**3 - 1. Calculate -2*p(y) + 6*x(y).\nAnswer: 14*y**3 - 106*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (13 - (13 - 9)) + -4.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -244*w**3 - 5*w**2 + 122*w**3 + 5*w**2.\nAnswer: -122*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -223 (base 13) to base 12.\nAnswer: -267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 - 5?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -432103 (base 6) in base 4?\nAnswer: -20222013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -20202200 (base 3) in base 9?\nAnswer: -6680","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112231 (base 7) to base 9.\nAnswer: 30407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5490000 rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + (-4 - -9) + (-8 - -3) + 9. Let d be ((-4)\/6)\/(4\/6). Sort 2, d, x.\nAnswer: d, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1226 minus -8898.44371?\nAnswer: 10124.44371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + w = 1. Let n be (-48)\/(-112) + 10\/(-7). Let z = w + n. Solve 0 = 3*m + 4*b + 15, z*m + 4*b + 16 = -4*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*(2 - (-44)\/(-6)). Let i = y - -28. Suppose -i = -4*w - 0. Is 2 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 9. Suppose -k*q - q = 0. Let h = -8 + q. Find the common denominator of -49\/5 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*h = 578*h + 240*h - 32523 for h.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-224)\/1008*30\/4.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -524.8798 rounded to one dp?\nAnswer: -524.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of d**6\/6 - 4*d**4\/3 - 16*d**3\/3 + 64*d**2. Let v(s) = -3*s**3 + 5*s + 5. What is 5*o(f) + 32*v(f)?\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.8 + 3. Let j = 0.3 + 0.2. Let q = j + -3.5. Which is the third smallest value? (a) 1\/4 (b) m (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of 25\/12*b**4 + 0*b - 1\/60*b**6 + 1\/105*b**7 - 13\/30*b**5 + 1 - 4*b**3 - 44*b**2. Factor w(x).\nAnswer: 2*(x - 3)*(x - 1)**2*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/3*3)\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -473 - -311. Let u = i + 161.903. Round u to 2 decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - 4*o - 2. Let b = 23 + -17. Suppose 3*d + 3 = -b. Give s(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 1. Suppose -l - 4 = -3. What is f(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -237 + 133. What is the units digit of g*((-10)\/4)\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18555 = 26*j - 9759. Which is smaller: -0.1 or j?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 427899*0.676.\nAnswer: 289259.724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7189 by 79.\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -224170470835 - 0?\nAnswer: -224170470835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-17 - (-19 + 7)) + (-2 - (-1 - 0))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 - 3*d**2 + d + 1. Let k be p(-4). Solve 3*u - k = 5*o, o + 4*o = u - 11 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + 8*b**2 + 84*b + 292. Calculate l(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63, -116, -155, -174, -167, -128?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90958.\nAnswer: 2, 7, 73, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggze when four letters picked without replacement from zgzezgeez?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 51*q - 11. Let f(b) = 129*b - 26. Let n(s) = 6*f(s) - 14*u(s). Let a(g) = 24*g - 2. Calculate n(a(x)).\nAnswer: 1440*x - 122","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 390312?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1170)\/36)\/(2090\/(-209)).\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(-3 - (-4)\/4). Suppose -4*r + 90 - 82 = x. What is the third derivative of -46*c**5 + 2*c - 2*c + 41*c**5 - 26*c**r wrt c?\nAnswer: -300*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of v**3\/3 + 5*v**2\/2 + 15*v + 1. List the prime factors of q(-6).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1799.941 - 1801. What is x rounded to 1 decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 639*u - 3*u**3 - 3*u**2 + u**3 - 627*u.\nAnswer: -2*u**3 - 3*u**2 + 12*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from dpdddpppppdd?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(252)*2*-2.\nAnswer: -24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 412? (a) 1 (b) -3 (c) -2\/517 (d) 2\/9 (e) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 95608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00743805337 rounded to 5 decimal places?\nAnswer: 0.00744","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -417 + 101 - 2*v**2 + 1541*v + 104 + 108 + 106 to w + s*v + i*v**2 and give s.\nAnswer: 1541","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 - 7 + 4*d)*(9 + 7*d + 6*d - 7) as b + w*d**2 + v*d and give v.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/23)*z**(-31))**4)**(-2\/7) assuming z is positive.\nAnswer: z**(5696\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2145)\/(-44) + 1\/4. Let o = z + -47. Suppose -k + 250 = k + 4*a, -o*k - 2*a = -242. List the prime factors of k.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/81*27 + (64\/(-21))\/1?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.1 (b) -9 (c) 26\/7 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -130.1 - -130.5. Put -2, b, 1 in descending order.\nAnswer: 1, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 5*g**2 + g**3 + 0*g**2 + 5*g**2 + 3*g**4 to the form k*g**3 + q*g + b*g**4 + l + y*g**2 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/(-3))\/(22\/36). Let t = -3.1498 + -0.8502. Sort 4, t, 2, x in decreasing order.\nAnswer: 4, 2, x, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/267 (b) 6 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-one quarters of a tonne?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2999.\nAnswer: 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 46619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + -15 - (6 - 4 - 18).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -260 (b) -0.3 (c) -0.0304 (d) 61 (e) 0.4 (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 75*l*m + 1847562*l - 1205*m wrt m?\nAnswer: 75*l - 1205","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/9))**(-6\/13)*(v**(-2\/9)*v*v)**(-2\/89))\/(((v\/((v\/(v\/v**(-2))*v)\/v))\/v)**(-13)\/((v*v\/(v*v**(-8)*v))\/(v\/(v**4\/v)))) assuming v is positive.\nAnswer: v**(375520\/10413)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p*p**(-1\/2)\/p)**(-2\/17)*(p*p**(-14)*p)\/(p*p\/(p**(1\/3)*p*p)))**(2\/83) assuming p is positive.\nAnswer: p**(-1208\/4233)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26150190 and 132?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(((y\/(y**(-7)*y)*y)\/y)\/y))*y**8*y)\/(y**9\/(y\/((y**(-6)*y)\/y)))*((y**0)**(-4\/29))**(-4\/5) assuming y is positive.\nAnswer: y**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 24942367?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19.7 or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29*p - 36*p + 35 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*g - 5*g + 0*g + 30*g as n + u*g and give u.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 286 = 166*g - 257*g + 741 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2243 - 2243 - 2*q**2 - 481*q to n*q**2 + d + m*q and give m.\nAnswer: -481","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 3*a - 0*f + 30, -2*a = 4*f + 20. Is 34260\/75 - (-1 + (-8)\/a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l. Let d = 0 + 2. Let q be j(d). Suppose 4*m - u = 2, -2*m + 2*u + 2 + q = 0. Which is the second smallest value? (a) -3 (b) -1\/4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2\/7 + 5382114*m\/7.\nAnswer: -3*m*(m - 1794038)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -105900000 rounded to the nearest one million?\nAnswer: -106000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**2\/2 - 1416*p + 11360 = 0.\nAnswer: -2840, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -36*j**3 + 7*j**2 - 6*j - 8. Let i(n) = 73*n**3 - 12*n**2 + 10*n + 14. Calculate -3*i(q) - 5*v(q).\nAnswer: -39*q**3 + q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-4)\/(y\/y**(5\/2)))**(-16)\/(((y\/(y*y*y**(-1)))\/y)**(-1\/49)*(y*y\/(y\/y**(-4\/9)))\/y**(-5)) assuming y is positive.\nAnswer: y**(15181\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8 - 6)\/((-18)\/(-63)). Let c(d) = -3*d + 9. Determine c(w).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 387\/15 + (-2)\/(-10). Suppose 3*u - a = -20. Let d be 4\/u + (-10)\/5. Solve q + h = 4, -3*q = -4*h - d*h + 9 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3918*a*c**3*s**2 - 68*a*c**3*s + 98*a*c**2*s - 12*a*s**2 - 6*c**2*s**2 + 2*c*s**2 wrt c?\nAnswer: -23508*a*s**2 - 408*a*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -51 in decreasing order.\nAnswer: 0, -5, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 - 19*t + 34. Let o be n(17). Let x be o\/2*(-9)\/(-18). Suppose x = 7*l - 11*l + 32. Calculate the remainder when 15 is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**3 - 2*v**3 + 6*v**3 + ((-2 + 1 + 9)*(4*v + 2*v - 5*v) - 3*v - v + 3*v)*(-3*v**2 + v**2 + v + 3*v**2).\nAnswer: 13*v**3 + 7*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/15? (a) 2 (b) -11 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of -c**5\/120 + 49*c**4\/4 - 7203*c**3 + 7013*c**2. Factor x(v).\nAnswer: -(v - 294)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9246551 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 - z - 1. Let v(h) be the second derivative of h**5\/10 - h**4\/6 - h**3\/3 - h**2 + 5*h. What is 2*g(p) - v(p)?\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of 0*c + 0 + 0*c**3 + 1\/12*c**4 - c**2. Let t(w) = w - 1. Let a(f) = 7*f - 6. Let i(v) = -a(v) + 6*t(v). Determine g(i(u)).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -9125*l + 9116*l. Which is the third biggest value? (a) l (b) 0.3 (c) -0.2 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1827.2511us to hours.\nAnswer: 0.00000050756975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c**2. Let l(z) = 30*z. What is l(k(s))?\nAnswer: -60*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1306 or 2\/25375?\nAnswer: 2\/25375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 PM and 7:38 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.74 - 0.059.\nAnswer: -0.799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 6:58 PM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 742673058?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**2 - 4 - u**2 + 2)*(2*u**2 - 5*u**2 + 2*u**2).\nAnswer: u**4 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i - 4*i - 10 = 0. Solve -p - 2 = g, -i = -3*p + 2*g - 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/2*r**3 - 5\/2*r + 3 - r**2 = 0. Calculate r.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2639, -5325, -8153, -11195, -14523, -18209, -22325, -26943?\n\"Answer: -12*m**3 + m**2 - 2605*m - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*l + 8*l**2 + l**2 - 8*l**2 - l wrt l?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 742698?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/5)\/(3\/(-15)). Let x(i) = 6*i**3 - 2*i + 1. Let t be x(s). Solve -4*p - t = -25 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/14)\/((-19)\/(-23028)*-24)?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 12726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5124 is divided by 95.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 2*c - j, 3*c - 7 = -3*j - 13 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 509*x = 514*x - i + 9, 0 = 4*x - 3*i + 5 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -10103540 (base 6) to base 5\nAnswer: -33213224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 90 - 360. Calculate the remainder when m is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15919536317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 + -11. Calculate the greatest common divisor of 14 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**3 - 355*n**2 + 10658*n - 10304 = 0 for n.\nAnswer: 1, 32, 322","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -7. Suppose 8 = o*r + 2. Suppose -r*a = a + 2*u - 50, 2*a - u - 24 = 0. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 15. Suppose -3*t - g*t + 20 = 0. Suppose t*s - 16 = -2*q, 5*q + 0*s - 13 = -s. Solve 3*n + 10 = 4*w, -3*n + q*w = -0*n + 8 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ummmduvdvdduuvxmuvw. What is prob of picking 1 d, 1 w, and 1 v?\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/7 + 4232*t\/7 - 63930\/7.\nAnswer: 2*(t - 15)*(t + 2131)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 3, 1, 109, -5 in descending order.\nAnswer: 109, 3, 1, -2\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -377, -1495, -3359, -5969?\n\"Answer: -373*c**2 + c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17229 is divided by 17.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2432 and 22277500.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 806543 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1895.2 + -0.2\nAnswer: -1895.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/139 and -31\/6.\nAnswer: 834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -0.1075.\nAnswer: 0.8925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.1 + 0.5. Let i = 15 - 15.67. Let b = f - i. What is the nearest to b in 0.4, -2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 144 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of 4*a**6\/5 - 7*a**4\/6 + 18*a. Find the third derivative of n(w) wrt w.\nAnswer: 576*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -19 + 0?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 227040568?\nAnswer: 2, 193, 147047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 104501 and -0.04.\nAnswer: -4180.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -56 - -58. Let g be 3\/(3\/v) - (9 + -10). Solve -3*r + g*l = r - 19, 4*r = 5*l + 21 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x**2 + 3*x**2 + 3*x**2)*(-2091*x + 629*x - 826*x).\nAnswer: -2288*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 551649979 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (t + 2*t - t)*(24*t - 35*t - 82*t) as k*t + j + c*t**2 and give c.\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4413168 (b) 0.1 (c) 1.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(1539) + -5 + 3)*-4 + ((-6*(sqrt(1539) + -4) - sqrt(1539)) + sqrt(1539) - (5 + sqrt(1539)*5 - sqrt(1539))))**2.\nAnswer: -972*sqrt(19) + 6885","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 18 - 4*k + 13 - k**2 - 36. Give n(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7008, -14018, -21028, -28038, -35048?\nAnswer: -42058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35810.49 - -35644. What is o rounded to zero dps?\nAnswer: -166","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-2 - -2) + -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 77 + 6. What are the prime factors of b?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 - -41. Let d(m) = -u*m - 5*m + 7*m - 4 - m**2. What is the units digit of d(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (604\/(-336) + (-6)\/21)*(-106)\/(-265)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 376*j = -3018 - 14278 for j.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x + b - 26 = 2*x + 68, -3*x + 2*b + 59 = 0 for x.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 17 (b) 4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1227 a factor of 510501628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1891?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.552 + -13.448. What is the nearest to 1 in -1, 1, k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1545792 and 17848?\nAnswer: 35553216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 2:51 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {d: 8, w: 5}.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 4*i**2 + 3*i - 7. Let x be b(-5). Let d(v) = -5*v - 1 - x*v**3 - v**3 - 3*v**2 - v**2. Is d(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 309 - 161. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33898 = 5*y - 3*n, -61*y + 60*y = -3*n - 6782. Is 15 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/6*(2 - 67501) + -2. What is i rounded to the nearest 10000?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*(-6*r + 15*r - 26*r).\nAnswer: -17*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1100 + -10?\nAnswer: -1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 - -341124144?\nAnswer: 341124133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 3643.99144 to the nearest ten.\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {n: 11, g: 2}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -440636 (base 9) to base 5.\nAnswer: -31403314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-15795)\/(-25))\/3 + 4\/10 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 2*p + 16 = 0, 5*p + 12 + 0 = a. Suppose 5*w - 4*y - 12 = 0, 4*w - a = 5*y - 1. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-4 - -1)) + 3 + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14.2 + 14.137. Let l = p + -1.937. Put l, 4\/7, 0.3, -0.5 in ascending order.\nAnswer: l, -0.5, 0.3, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -9613, -19114, -28493, -37756, -46909?\n\"Answer: -v**3 + 67*v**2 - 9695*v + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 2 - 4. Let h(k) = k**2 + 9*k + 9. Calculate the least common multiple of r and h(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - 3. Let v = b - -14. Calculate the remainder when 1 + 2 + 3 + v is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6492 and 79.\nAnswer: -512868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1)\/m**(-5)*(m\/(m\/((m\/m**(-1\/2))\/m*m)))**(-9\/2))**(2\/5) assuming m is positive.\nAnswer: m**(-11\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 2 g, and 1 b when four letters picked without replacement from {i: 1, b: 3, a: 1, g: 2, d: 12}?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*u**5 + 2*u + 0*u**5 + 0*u + (-3 + 3 - 2*u)*(-2*u**4 - 2*u**4 + 14*u**4).\nAnswer: -15*u**5 + 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -276*3\/(-12)*2. Suppose 208 = d*j - 134*j. What are the prime factors of j?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 9. Let t be 3\/9 + 2\/(-2). What is the nearest to 0 in -0.5, t, r?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 + 10*r - 7. Let w be j(9). Suppose p - 4*b = -4 + w, p = -2*b + 10. Suppose -p*d + 7 = 1. Which is smaller: -0.06 or d?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 + 17. Sort 2, -2, x in increasing order.\nAnswer: -2, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44974842 to the power of 1\/2, to the nearest integer?\nAnswer: 6706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-32)\/(-6))\/((28\/516)\/7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**3\/3 - 14668*k**2\/3 + 58696*k\/3 - 19568 = 0. What is k?\nAnswer: -7338, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggjs when four letters picked without replacement from gsjjfjgjjjjffjjjjjj?\nAnswer: 13\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-3*((-6*2*sqrt(14))\/(sqrt(14)\/(sqrt(35)\/sqrt(5))))**2 + -5.\nAnswer: -3029","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.9 - 0.7. Let u be (-4)\/(-8) - 5\/2. What is the nearest to 1\/4 in 4\/9, h, u?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, r: 4, d: 1, m: 2, x: 3, p: 1}. What is prob of sequence xd?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 9 - 1. Let k be 8 + (4 - d) + 48\/(-10). Which is the nearest to -0.1? (a) 1\/2 (b) k (c) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 9369 = -2*f, 93*g = 91*g + 3*f + 6233. List the prime factors of g.\nAnswer: 3121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2829.3 + -2829. Let d = 4 - 3.92. Which is the closest to -1? (a) d (b) -5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 1 + 0)*(-g - 2*g + 0*g) - 5*g + 4*g + 4*g)*(0*g - 8*g + 0*g).\nAnswer: -72*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.945 + -0.055. Sort -2\/11, 2\/3, g in increasing order.\nAnswer: g, -2\/11, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 18 - 2 = 0, 2*x = o - 14. Suppose 5*p + 4*m - 395 = 0, 0*p - 290 = -o*p + 2*m. Is (p - 1)\/(12\/42) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 19. Let d = -1226\/65 + 240\/13. Let h = -0.1 - -0.2. Which is the closest to d? (a) 5 (b) x (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -51 (b) -5 (c) -858\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.91433762 to four dps.\nAnswer: -3.9143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/((y\/(y\/(y\/((y*y**(-8))\/y*y))*y))\/y))\/y)\/(y\/(y*(y\/(y\/(y*y**(-2\/37))*y))\/y*y)))\/(y**7*y*y*y**6) assuming y is positive.\nAnswer: y**(-779\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 1580 = 4*o, 3*o - 1162 = -0*o - 2*t. Suppose -5*a + 56 = m - 51, 5*m = 4*a + o. Let q = m - 42. Is q a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 44\/3 - (-2)\/(-3). Let f be 8 - (-1 + 6 + 0). Suppose -b = f*d - 68. Calculate the remainder when d is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 72*i + 16 - 29 + 26*i + 12.\nAnswer: -46*i + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 7:41 PM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - 28*m**2 - 50*m + 52. Suppose -87 = 3*n + 22*h - 25*h, 3*n + 66 = -4*h. Let j be p(n). Solve 3*y = 2*l + 7*y + 10, j = 3*l + 2*y + 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/39)*b\/(b**(-10)*b*b)*b\/(b*b**(4\/7))*b\/(b\/b**(-26)))**(17\/3) assuming b is positive.\nAnswer: b**(-81787\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.752 - 6.652. Is z greater than 3.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1\/8, 0.5, -1\/11 in ascending order.\nAnswer: -4, -1\/8, -1\/11, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - 3 - (5 + 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -7\/8 (b) -185 (c) 4 (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 76715400 rounded to the nearest one hundred thousand?\nAnswer: 76700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 6}. What is prob of sequence aaaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.190075953 to four dps.\nAnswer: 1.1901","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -7*t - 67, -4*i + 2*i - 2892*t + 32 = -2896*t for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**12*g)**41\/(g*g**15*g*g*g)**(-3\/26) assuming g is positive.\nAnswer: g**(13915\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1585)\/2536*(3 + ((-136)\/15 - -1))?\nAnswer: 19\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*w - 3*o, 7*w - 5*o + 28 = 9*w. Let x(b) = b**2 - 17*b - 13. What is the smallest common multiple of x(18) and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/72)\/((-4)\/(-16)). Let v be 10\/(-4) - 6\/(-4). Which is the third smallest value? (a) t (b) -0.3 (c) -0.04 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2947470 and 46854.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28690797379 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 10) to base 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3212)\/1533 - 2\/(-21).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79 - 166 - 10*n + 3*n + 87.\nAnswer: -7*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 0 + 2 + 2*i - 3*i + 7. Suppose 2*w - 50 = -3*w. Suppose w = 2*v - 0. Determine y(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 2:38 AM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*u = 25*u - 34. What is the nearest to 0.3 in u, 225, -1\/5, 2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 6*u - 52905. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 422*4\/(-52) + (-1134)\/(-2457).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0493 - -8333838.\nAnswer: 8333838.0493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16 in 1\/3, 0, -3, 0.5, -1\/4, -27.9?\nAnswer: -27.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 69155 - -3?\nAnswer: 69158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8 - 9) + 12\/(-5) + -4 - -6. What is the nearest to f in 0.5, -16, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-6))\/(-5) + (-3 - -1)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1\/(q**(-7)\/q))\/(q**(-3\/7)\/((q**(-2\/17)*q)\/q*q*q))*(q**(2\/3)\/(((q\/(q\/q**1))\/q)\/q))**1 assuming q is positive.\nAnswer: q**(4633\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 - -14. Which is the second biggest value? (a) 5 (b) 50 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1902763407?\nAnswer: 3, 439, 1444771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*s**2 - 20447*s - 34572*s + 30 - 30.\nAnswer: 36*s**2 - 55019*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 10 + 2 + 2 - -7?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3293*d**2 + 1675*d**2 + 1639*d**2)*(2*d**2 + 0*d**2 + 6*d**2).\nAnswer: 168*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 62.4 and 85.\nAnswer: 5304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y + 3. Let h(k) be the second derivative of k**3 + k - k**3 + 5*k**2 + 0*k**3 + k**3. What is -7*b(f) + 2*h(f)?\nAnswer: -2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of 4*b**2 - 11\/360*b**6 - 1\/24*b**4 - 1\/60*b**5 + 1\/3*b**3 + 0*b + 0. Let g(o) be the first derivative of t(o). What is g(-1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 395 at least -15282?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/295? (a) 1 (b) 1\/4 (c) 0.4 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 26 = -v, 16254*v - 2*i = 16258*v - 38 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -0.2 (c) 1\/3 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22380347?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 48\/(-8) + -7 + 17. Solve 0 = y*z - r - 21, -5*z + r + 7 = -19 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -938, -5, 2, -0.5 in descending order.\nAnswer: 2, -0.5, -5, -938","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 574116?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 90 and 90540?\nAnswer: 90540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7446134?\nAnswer: 2, 3723067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 29108779 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.791 rounded to one dp?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 129565 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 25 = 3*q. Suppose 0 = t - q*t + 28. Is 3 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vnv when three letters picked without replacement from {y: 9, v: 2, n: 2}?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -3*w + 17. Give s(9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 12 = -0*r - 2*m, -10 = -5*m. Suppose 3*o + 20 = r*o. Solve 0 = -0*y + o*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 5*y = -4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 4*o - 8 = 0, -2*o = 4 - 2. Let x = -3 - -3. Let h be 18\/(-16)*(-2)\/3. What is the nearest to -0.1 in h, v, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1283917062?\nAnswer: 2, 3, 151, 389, 3643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by -8.\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160 is divided by 25.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 53994 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -178*n**2 - 4 + 3 + 4 - 2.\nAnswer: -178*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 472*y**2 + 25*y + 106*y - 20*y.\nAnswer: 472*y**2 + 111*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a + 0*a**4 - 4*a**4 + 2*a**3 + a as q*a + p + x*a**3 + k*a**2 + y*a**4 and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/12 - 1\/(-4)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 4*h + 42, -172*h + 180*h = -3*o + 126. What is the highest common factor of 1022 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -4*s + 3*i - 0*i, -i - 18 = 3*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1053) - (sqrt(1053) - (2 + sqrt(1053) + -1 + sqrt(1053)))**2) + sqrt(1053) + 0 + -6*(0 + sqrt(1053))*6)*-3.\nAnswer: 3162 + 972*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (2121 + -2107 + (-1662)\/110 + 1)\/((-4)\/(-10))?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -16?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of 7*j**4\/12 - 2*j**3\/3 + 2*j**2 - 43. Let t(k) = 2*k. What is t(s(v))?\nAnswer: 28*v - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -8*x**5 + 92*x**4\/5 - 12*x**3 + 4*x**2\/5 + 4*x\/5 = 0.\nAnswer: -1\/5, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 - 3*k - 15. Let r(q) = -2*q**2 - 10*q - 46. Calculate -2*r(y) + 7*v(y).\nAnswer: -3*y**2 - y - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -241 in ascending order.\nAnswer: -241, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -7786 at least as big as -7786?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*h**2 + 75*h**2 + 18*h**2 to p + f*h**2 + d*h and give f.\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, u: 3}. What is prob of sequence uu?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*m = 114*m + 291 + 948 + 763 for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -4*q + 7. Let j be z(1). Suppose 13*r - 24 = 5*r. Suppose 0 = j*l + 3*v + r, 3*l - 5*v = -0*v + 29. Solve 18 = -3*u + l for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1364\/800 + 6\/(-75) - 84\/224?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.29 + 0.19. Suppose -5*b + 2*b + 9 = 0. What is the closest to f in 4, b, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -21216*a - 763761. What is u(-36)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -237, -499, -947, -1587, -2425, -3467?\nAnswer: -4719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1560, -3, -4.463?\nAnswer: -4.463","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*g**2 - 1858125*g + 5574420 = 0. Calculate g.\nAnswer: -371628, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 2679925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 32 * -6\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*s**4 + s - 4*s**4 + 2*s**2 - 4*s**4 + 2*s**3 to the form p*s**2 + m*s**4 + k + v*s**3 + u*s and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 + 9*c + 5. Give i(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 723482251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*1*((-8)\/(-2) + -3). Which is smaller: -2\/55 or j?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -135\/172 + 3\/86. What is the third biggest value in s, 0, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-30)*-6*30\/(-20)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - -52)*(-3)\/(-4). Let y be (-4)\/6 - (-154)\/6. Let p = n - y. Calculate the greatest common factor of p and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11141 (base 5) in base 12?\nAnswer: -564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1584 and 11649264?\nAnswer: 34947792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of -8 + 29*d**3 - 6*d - 21*d**4 + 3\/2*d**2. What is l in p(l) = 0?\nAnswer: -1\/4, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/34200 and 67\/1590.\nAnswer: 1812600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 9239, -4, 3, 981, 5 in decreasing order.\nAnswer: 9239, 981, 5, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 7*x - 40 = 0. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10181.83484 to the nearest ten.\nAnswer: -10180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3542097? (a) -4 (b) 1 (c) -5 (d) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.2 + -0.8. What is the second smallest value in 2\/3, c, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 197.4 - 203. What is i rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(-2\/3))\/h)\/h)\/h**(-2)*(h**1)**(-17\/2) assuming h is positive.\nAnswer: h**(-49\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/4 - (1 + (-69)\/60).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4748 divided by -15\nAnswer: 4748\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19023 is divided by 19017?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -19368476\/21 != 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15642*q**2 - 3921*q**2 - 3902*q**2 - 3910*q**2 - 3905*q**2.\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 689 - 684.61. Let o = -0.39 + h. Which is the fourth smallest value? (a) 0 (b) 5 (c) 0.3 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -12*q**3 + 5*q**2 + 282*q - 453. What is a(4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 183632904 and 1008.\nAnswer: 367265808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-1\/14)*g)\/g**(-7))\/(g**(-2\/5))**(3\/7) assuming g is positive.\nAnswer: g**(91\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-6)*(-740)\/2405?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1343*w - 1 = -1344*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 6, 0.53, 2\/3, -2, -2\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10107 is divided by 539\/4 - (110\/40 + -1)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -232, -429, -616, -787, -936, -1057, -1144?\nAnswer: -1191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2288.9? (a) 188 (b) -3\/2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do 2281\/37 and -1\/16 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 348 and 10.\nAnswer: 3480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 28, 48, 66, 70, 48, -12, -122?\n\"Answer: -2*n**3 + 11*n**2 + n + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y**2 - 2*y - 14. Let r = -36 + 30. List the prime factors of g(r).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a tonne in kilograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -31*s**2 + 9*s + 4. Let v be g(-2). Let p = -119 - v. Let y be (-1)\/(5 - p\/4). Which is smaller: 0.05 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3*y**2 + 48*y + 206. Let w be b(-16). Is w <= -1332?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 11*k**2 - 7 - 5*k**2.\nAnswer: 6*k**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2577 is divided by 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/16 and -113\/720.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2, 63, 168, 313, 498, 723, 988?\n\"Answer: 20*x**2 + 5*x - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of -2*u**3\/3 + u**2\/2 - u. Suppose -4 = -8*p - 20. Let s be d(p). What is the highest common divisor of s and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - -11) + (-3)\/1. Suppose 0 = -g + 2*g - p. Calculate the highest common factor of 6 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95745 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of -c**2\/2 - 6*c - 26. Let t be q(-12). Suppose 0 = -t*z + 5*z + 167. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(2\/9)*d**9*(d**(-4\/7))**(2\/7) assuming d is positive.\nAnswer: d**(3995\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and 63574164686564.\nAnswer: 63574164686559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 - -472\nAnswer: 472.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of -s**5\/30 - 230*s**2. Let k(l) = 32*l**2. Determine w(k(u)).\nAnswer: -2048*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 5 = 19788*i - 9901*i - 9890*i, 2*i = -5*n + 5 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000036 to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/8 and -79\/44?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(700) + -1)*-2*6)**2.\nAnswer: -2880*sqrt(7) + 100944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -102 and 0.067.\nAnswer: -6.834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 5*g - 477. Determine l(92).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -2.8. Let l be -5*(-6)\/(-60)*24\/21. Let z = 7\/19 - 2\/57. Which is the nearest to z? (a) l (b) w (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 PM and 2:19 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -1854 and -1847 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(6\/(-42)*1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of c**5\/30 + c**4\/24 + c**2. Let v = -1 + 0. What is y(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6646215 (base 7) to base 6.\nAnswer: 25313220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y\/(y\/y**(10\/3)))*y))**(11\/8) assuming y is positive.\nAnswer: y**(77\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 22, -0.2, 0.01, -1, -1\/3, 1.48, -1\/168?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 2*p - 5, -p + 0*p = -5*h - 30. Let z(o) = -o**3 - 6*o**2 - 4*o + 3. Let u be z(h). What is the nearest to -1\/3 in 1\/9, 0, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of 7*f**5\/30 + f**4\/12 - f**3 + f**2. What is the units digit of p(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-six fifths of a kilogram in grams?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 6 = 2. Let b(z) = -z**2 + z + 1. Let j(h) = 3*h**2 - 1. What is v*j(u) + b(u)?\nAnswer: 2*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 h when two letters picked without replacement from zhhh.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -5*y**2 - 1718768*y + 1. Let i(l) = -l. Determine q(i(h)).\nAnswer: -5*h**2 + 1718768*h + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 - 3*a**2 + 4*a - 2. Calculate z(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + 3 - (-4 - -4). Suppose -5*l = a + 2*a + 85, l + b*a = -17. What is l rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -401 by 1.\nAnswer: -401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.083 in -3, 0.2, -0.033, -0.14, -4?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.557461 rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.5057 + 0.0943. Let m be (4\/3)\/(-4)*6. Which is the closest to m? (a) y (b) 0.5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1298 divide 4850626?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-78)\/(-12))\/(8\/80) is divided by 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/3 (b) 57\/8 (c) 80\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 20820357 divided by 1\nAnswer: 20820357","meta":{"dup_signals":{},"source":"arithmetic__div_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: Round 19.916566257 to one decimal place.\nAnswer: 19.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 50 and 3\/(-2)*(-21)\/(882\/280).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 AM and 3:58 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/10)\/((-6)\/(-15))*2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 73*x**5 + 116*x**2 + 5*x**4 - 140*x**5 + 69*x**5 wrt x?\nAnswer: 120*x**2 + 120*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iziir. Give prob of picking 3 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*y + 4*y - 232 = -58*y for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 4*t = 16, 4*t = -9*j + 8*j + 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -180 in 10, -0.01, 16?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 4427060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -189766.402 to the nearest 1000.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 56, 0.1 in descending order.\nAnswer: 56, 0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of -t**6\/120 - t**5\/60 - t**3\/6 + 8*t**2. Let i(r) = 4*r**3 + 2*r**2 + 2*r + 4. Give -i(d) - 2*o(d).\nAnswer: -2*d**3 - 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -112 in 2, 2\/17, -1\/6, -1\/7?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10843, 86911, 293429, 695623, 1358719, 2347943, 3728521, 5565679?\nAnswer: 7924643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-g**2 + 2*g - 2*g)*(-4*g + 4*g - 2*g) - 7*g - g**3 + 0*g**3 + 0 - 1 as a*g + j*g**2 + c + p*g**3 and give a.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of 2*t**6\/15 + t**5\/60 - t**4\/12 + t**3\/6 + 5*t**2. Let r be 1\/2 - 1\/(-2). What is the common denominator of -14\/9 and h(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -10 + 14 - (-7656)\/(-1916). Is s > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: c5b (base 14) to base 2\nAnswer: 100110000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/((2\/3)\/((99\/(-9))\/11)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1301*d*z**4 + 11*d*z**2 - 10876*d wrt z.\nAnswer: 5204*d*z**3 + 22*d*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + x**2 + 3*x + 5. Calculate k(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -75219\/2, -3\/4, 0.2, 3, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (700\/(-8))\/5*-8. Suppose 4*r = 5*w - l, -112 = -4*w - 2*r + 7*r. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 690192049 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1853084813 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 9936 divided by 368?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, l: 11}. Give prob of sequence llll.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (10 + 5 + -32).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 3, -1, -5, -3 in ascending order.\nAnswer: -28, -5, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**3 + 4*p**3 - 3*p**3)*(3 + 2 - 3 + (-4 - 2 + 4)*(0 - 1 - 1) - 105 + 971 + 199).\nAnswer: -1071*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z**3 - z**3 - z**3)*(6589*z - 124*z**2 - 6589*z).\nAnswer: -372*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.8365 and 285?\nAnswer: 1093.4025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3189337 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116 + 128 + 145 + 16*q**2 - 389.\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*h**3\/5 - 12*h**2\/5 - h.\nAnswer: -h*(h + 1)*(7*h + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**3 + 8*a - a**3 - a**2 - 6*a - 2. Let s be k(1). Suppose -2*q + 18 = 5*h - s*q, 0 = -2*h - 5*q + 24. Sort h, -1, 3 in ascending order.\nAnswer: -1, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (17556\/(-2280)*(-12)\/7)\/((-63)\/(-30))?\nAnswer: 44\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24601?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17.5 + 6.5. Let g = -8.93 - 0.07. Let h = g - u. Which is the nearest to h? (a) 4 (b) 3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of 3*o**5\/4 + o**3\/6 + 3*o. Let u be y(1). Let q = 25 - u. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11263 - 5552 + 221*w - 220*w + (2*w - 1 + 1)*(-1 + 0 + 0).\nAnswer: -w - 16815","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + -0.1. Let c = -8 + 11. Let a = c + -4. Put l, 0.3, a in ascending order.\nAnswer: a, l, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 145 = -3*w + 24, 2*l = 24*l - 4*w - 778 for l.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -470*a**3 + 473*a**3 - 5*a**2 + 2*a**4 + 15*a**2 - 3*a**2 to q*a + n + d*a**3 + y*a**4 + t*a**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of -z**4\/12 + 2*z**3 - 7*z**2\/2 - 18*z. Let m be -6*(-3)\/2 - -1. Calculate the remainder when v(m) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -28 + -2236b5?\nAnswer: -223710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 7240 = 6*n. What is the common denominator of n\/480 + (-4)\/6 and -85\/2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - ((-6)\/48)\/(4\/168)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 888130253 - 888130253 - 25*q**3.\nAnswer: -25*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -95.5 * -4.\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 1.501383.\nAnswer: -0.4504149","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11\/2 of a millennium?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q - 9*q + 4*q as v + h*q and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3404592 and 568?\nAnswer: 3404592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101111110111110100111101 + 11?\nAnswer: 1101111110111110101000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 2 = 4*n, -c + 4*n = -6. Suppose b = r - 18, b + 64 = c*r + r. What are the prime factors of r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 3*f = 0, -3*c + 5*f - 1 + 5 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -608657.1 rounded to the nearest 10000?\nAnswer: -610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7\/26 - 411\/754. Let o = n + 114\/203. Which is the biggest value? (a) -5 (b) 4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 19*r**3 - 6*r**2 + 21*r - 214. What is the units digit of o(15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 5. Suppose -2*r + 16 = -2*f, -2*f + 7*f = -r - 46. Which is the nearest to 1\/4? (a) t (b) -2 (c) 4 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7003678, -7003639, -7003600, -7003561, -7003522?\nAnswer: -7003483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.3000006 - 3.3. Round w to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o - 10. Let h be b(-6). Solve -8 = 2*t - h for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**1\/s)**23*s*s**3*s*s*(s\/(s**(2\/7)\/s))\/s assuming s is positive.\nAnswer: s**(47\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**(-9))\/t**(-3\/7))\/((t*(t\/(t**4*t))\/t)\/(t**1\/t*t)))**22 assuming t is positive.\nAnswer: t**(2376\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000213701 rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**3 + 155254*c - 155254*c.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1267*m - 3 + 1272*m + 3.\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 88991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 - 19.8. Let k = y + -0.2. Which is the third biggest value? (a) k (b) 0.1 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d. Let n(s) be the second derivative of 3*s**4\/4 - 10*s**2 - 2616*s. Determine i(n(r)).\nAnswer: -9*r**2 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -70*y + 65*y + 3785. Calculate the remainder when y is divided by 69.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((3 + -6*(sqrt(1216) + -1)*-4)**2 - 2*((sqrt(1216) + -1)*3)**2*-4).\nAnswer: -9216*sqrt(19) + 788479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7\/430557 or -4\/33?\nAnswer: -4\/33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18\/75*5\/(-9) + (-245794)\/(-30).\nAnswer: 3, 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/1600 and -119\/11087520.\nAnswer: 110875200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/((-6)\/(-2)))\/(((-9405)\/(-30))\/(-19)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-4)*12\/(-9). Let t be (24\/15 - f)*-35. What is the greatest common divisor of t and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjsjccjjsssjs. Give prob of picking 2 j and 1 c.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a kilogram in grams?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110750 is divided by 55.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 + 5 - 5)*(3*q - 5 + 5) + 15 - 6*q - 15.\nAnswer: -69*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 25245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (10 - 5) + (15 - -11)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 431 a factor of 6547752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33879, 33880, 33881, 33882, 33883, 33884?\nAnswer: 33885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1273, -173, 5, 1, -4 in descending order.\nAnswer: 5, 1, -3, -4, -173, -1273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 209 = -20*o - 0*o for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9 + -2 - (-1)\/1. Suppose -4*m - g - 8 = 0. Let h(r) = -3*r - 6. What is the units digit of h(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4667 and 169.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 5 (b) 4 (c) -0.1 (d) -3\/2 (e) -2\/3 (f) -1\/1422\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of x**5\/225 - 7*x**4\/180 - x**3\/5 + 79*x**2. Factor h(n).\nAnswer: 2*(n + 1)*(2*n - 9)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28930790 to the power of 1\/2, to the nearest integer?\nAnswer: 5379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*h - 5*h**3 + 0*h**4 - 1 + 1 - 2*h**4 to b*h + g*h**4 + i + k*h**2 + n*h**3 and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 153831289 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-15)\/9 - -3)\/(20\/9195).\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 160*a**4*y + 90*a**2*y + 3439*y + 50 wrt a?\nAnswer: 640*a**3*y + 180*a*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-19 - -32) - -21\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-8) + 2 - 1*6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 474*l**3 - 1408*l**3 + 468*l**3 - 80*l + 470*l**3 + 32*l**2 = 0. What is l?\nAnswer: -10, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 56842 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-54))\/(-1)*4*176\/(-352)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 8, -171 = 4*f + 4*t + 125. Let u = f + 77. Solve -16 = u*c - 3*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 11*o**4 + 5*o**3 + 5*o**2 + 9. Let y(v) = -6*v**4 - 3*v**3 - 3*v**2 - 4. Let z(h) = -3*u(h) - 5*y(h). Find the first derivative of z(g) wrt g.\nAnswer: -12*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - w = 4*w + 3, q + 5*w = -11. Suppose 76 = q*s - 220. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 405304?\nAnswer: 2, 29, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2089057 to the power of 1\/2, to the nearest integer?\nAnswer: 1445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 309543 and 1326.\nAnswer: 10524462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 4*s - 1. Let d be (-1)\/(-2)*(6 + -4). Let b be m(d). Let h be b\/(((-108)\/16)\/(-9)). Is 5 smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of 811*g**3\/6 + 12*g**2 + g. Let k be u(16). Round k to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 8*n**3 - 4*n**3 + n**2 + 0 - 3. What is the units digit of m(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, s: 1, i: 2, l: 1}. What is prob of picking 1 i, 1 r, and 1 l?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30167 by 4.\nAnswer: 30167\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 276875 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006237415924 rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5 - 0)\/((-1)\/(-22)). Let l be (-1)\/(-3) + (-174)\/(-18). Calculate the highest common factor of f and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -69*m**3*w - m**3 + 24930*m**2*w + 34*m*w + m + w - 25378 wrt m.\nAnswer: -414*m*w - 6*m + 49860*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 104.89 - 105. Let g = j - -0.1100107. Round g to six dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 + 8*z**2 - 6*z - 3. Let d be k(7). Suppose -p = d*p - 15. What is the second derivative of 3*a + a + p*a**4 - 2*a wrt a?\nAnswer: 36*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573.4944l in millilitres?\nAnswer: 573494.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 415426002347+-200\nAnswer: 415426002147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 203807*t + 13. Let b(n) = 203806*n + 14. Let v(p) = -3*b(p) + 4*f(p). Let m be v(-21). Round m to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6836, -4, 0 in descending order.\nAnswer: 0, -4, -6836","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2553*l + 224*l + 91387 = -590*l - 63495 for l.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -89*f**6 - 69*f**5 + 16090*f**2 wrt f?\nAnswer: -10680*f**3 - 4140*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -25*c**2 + 599380*c + 8396220 = 0. Calculate c.\nAnswer: -14, 119946\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -103755 + 103653.2336. Let z = t - -99.87. Let r = z - -1.9. What is r rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -2*j - 1. Let m be ((-10)\/(-15))\/((-712)\/708 - j). Let l = m + 273. What are the prime factors of l?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 9*b + 53 = -4*b + 449 for b.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of -k**4\/3 - k**3\/2 - k. Let q = -959 + 974. Suppose 5*b = -3*f - 1 + q, 0 = -3*f - b - 2. Determine o(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**3\/3 - 60*z**2 - 324*z - 468.\nAnswer: -4*(z + 3)**2*(z + 39)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25468, 102058, 229768, 408598?\nAnswer: 638548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**2 + 3*y - 21. Suppose -c - q - 7 = -0*q, -c = -3*q + 3. Let v be b(c). Suppose 176 = -2*i + 6*i. Calculate the highest common factor of i and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2 + 2963958*i.\nAnswer: 3*i*(i + 987986)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 760*f**3 + 5*f**2 + 7*f - 2. What is k(-1)?\nAnswer: -764","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(216)\/(sqrt(12)*-1) + sqrt(18) - sqrt(18))*-6)\/(sqrt(216) + -2*sqrt(216)*5).\nAnswer: -sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/90 and -97\/2.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (54\/36)\/(6\/(-64)). Let d = f + 78. List the prime factors of d.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -38.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -318*t**3. Let f(i) = 7630*i**3. What is 2*f(z) + 49*n(z)?\nAnswer: -322*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -5*w - 4. Suppose 0 = -2*a - 4. Let k(q) = 3361 - 3364 - 4*q + 0*q. Let j be 3*(0\/(-1) - -1). Determine a*h(m) + j*k(m).\nAnswer: -2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m**2 + 18687 - 4*m**2 + 8*m**3 + 13*m**3 - 18687.\nAnswer: 21*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 66916978*b**4 - b**3 - b**2 + 1556810*b?\nAnswer: 1606007472*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 144389 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -378.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 41.182 - 40.6. Let a = r - 32.682. Round a to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 + 149. Suppose 5*v - 175 = 5*x, -4*v + 4*x = 6*x - c. Calculate the highest common factor of 20 and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 129288?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00041285 rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -33484*w - 401810. Calculate z(-12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 + 8*o - 3. Give j(9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 123916427 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 4 + 0)*(6 + 0 - 4) - 1 + 0 + 2)*(7*u + u - 4*u)*(-3*u + u + 4*u).\nAnswer: -40*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -22*82\nAnswer: -1804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 9*j - 2. What is the remainder when 108 is divided by c(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s, 1 k, and 1 o when four letters picked without replacement from {f: 3, o: 1, k: 2, s: 3, j: 1, p: 8}.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -9 - 1 - 7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -89 + 100. Let w = -7 + z. Suppose -w*v + 162 = -v. Is v a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/a**(5\/4)*a*a**(-2\/9)\/a*a assuming a is positive.\nAnswer: a**(19\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -2 - (15 + 13 + -24 + (9 - -20))\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 543 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 858 and 6474?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3064, -2367, -522, 3047, 8916, 17661?\n\"Answer: 96*t**3 - 2*t**2 + 31*t - 3189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.25 - 0.7. Let w = -2.55 + d. Let h = -0.568 + -0.032. Which is the nearest to 2\/3? (a) h (b) w (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7076 + -7075.8. Put 1\/7, b, 10, 3\/5 in increasing order.\nAnswer: 1\/7, b, 3\/5, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qw when two letters picked without replacement from {q: 1, k: 1, w: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 440*b**3*n**2 - 11222*b**2*n**2 + 33611614*n**2 wrt b.\nAnswer: 1320*b**2*n**2 - 22444*b*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -7. Let d = 5 - p. Which is bigger: d or 2\/19?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*m - 20 = i - 50*m, 4 = -5*i - 4*m. Put -2, -128, i, 5, 2 in ascending order.\nAnswer: -128, -2, 2, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*o - 8 = 41*o - 0*o - 22*o - 5*v, -o - v - 2 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gy when two letters picked without replacement from {n: 2, b: 1, y: 1, g: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -504 + -11?\nAnswer: -515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 194 = -178. Let x = 51.5 + -52. Which is the third biggest value? (a) -2 (b) v (c) 3 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of r**3\/6 - 4*r + 3. Let j(s) be the first derivative of q(s). Let d(o) = -4*o - 1. Determine -d(h) - 6*j(h).\nAnswer: -2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 7 + 1)*(b + 2*b - 4*b + 0*b - 4*b + 2*b + (2 + 1 - 4)*(0*b + 2*b - b) + 0 - b + 0) in the form m + k*b and give k.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 - 5*u - 13. Let c be a(7). Let j(z) = z**2 + z + 1. Let v be j(-1). Is c less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -252 - 2.06088171?\nAnswer: -254.06088171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 36. Does 6 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + v = -4*f + 19, 0 = -5*f + 5*v + 5. Suppose 10*t - r = 9*t - 3, f*t = 4*r - 10. What is the third smallest value in t, 1\/2, -0.06?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - 0 - (-72 + (-83 - -120) + 91).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.4 + 1.43. Let h = -5.03 + 5. Let z = u + h. What is the third biggest value in z, 0.3, 0.5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1019, -1012, -1001, -986?\n\"Answer: 2*p**2 + p - 1022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a millisecond in microseconds?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 256 + c**2 - 257 - 6*c**3 + 4*c**3. Suppose k + 4*k + 5 = 0. Give d(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1478 = -20*w + 982. What is the lowest common multiple of w and 4 + (2\/(-2) - -4)?\nAnswer: 861","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35872, 35874, 35876, 35878, 35880?\nAnswer: 35882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*r + 14 + r**2 + 2*r + 9*r as t*r**2 + p*r + n and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -9\/2, -2\/5, 2\/7, 0, 1\/449 in descending order.\nAnswer: 5, 2\/7, 1\/449, 0, -2\/5, -9\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -15*c**2 - 39. Let z(a) = 2*a**2. What is z(l(g))?\nAnswer: 450*g**4 + 2340*g**2 + 3042","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(-3)*(g*g**(-2\/7))\/g*(g*g*g**(-1))\/g**(-1\/6) assuming g is positive.\nAnswer: g**(-47\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m - m + 112 = 0. Differentiate -21*y**3 - m + 6*y**3 + 17*y**3 wrt y.\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/141 and 61\/45?\nAnswer: 2115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/128 and -97\/162000.\nAnswer: 1296000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*q - 53 - 12 = 7 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*k = 24 - 33 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 145, 151, 161, 175, 193, 215, 241?\nAnswer: 271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1.43*23245\nAnswer: -33240.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 449772353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 2*u**2 - 77*u + 32. Determine w(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2339\/2 at most as big as -1170?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 789*j - 10*j**2 + 11 + 794*j - 1594*j + (-1 + 5 - 3)*(-4*j - j**2 + 4*j).\nAnswer: -11*j**2 - 11*j + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 - x - 9. Let h be s(4). Suppose -h*a - 10 = -1. Let f = a + 47. Is f a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -362262 (base 9) to base 7\nAnswer: -1566056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 57772761497 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1843857?\nAnswer: 3, 47, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 + 4 - 1)*(4 - 3 + 1) + 0 - 5 + 2)*(5 - 5 - 2*v - 2) + 14 - 15 + 6*v - 7 to the form w*v + m and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3*u**2. Let l(b) = 191*b. Give a(l(q)).\nAnswer: 109443*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 4*j**2 + 1. Suppose -2*f - 5 = 3*f. Let w be a(f). Solve 3*b = -w*g - 27, 5*g - 2*b + 4 = -3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 37 + 3 = 0. Suppose 4*z + k = 9*z. Suppose z*o - 54 = o. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 160030.83 to the nearest 10000.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8513 + -4668. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1, -5, -11, -19, -29, -41, -55?\n\"Answer: -l**2 - l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 + 175*q + 4921. Calculate d(-33).\nAnswer: 235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 + -22.2. Let u = y + 4.2. Which is the second biggest value? (a) u (b) -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 v and 2 t when three letters picked without replacement from ttvfvf.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 7) in base 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {f: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 262 + -246. Solve 4 = -5*i + 2*a, i = -i - 4*a - w for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 72 = 2*d, -33*n = -19*n + 23*n + 35 - 109 for d.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -147, -151, -157, -165, -175, -187, -201?\nAnswer: -217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 75 by -3281223.\nAnswer: -25\/1093741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 610*0.592\nAnswer: 361.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 409376472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 574*g**3 + 5 + 397*g - 585*g**3 - 397*g.\nAnswer: -11*g**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -3644*c**3 + 9*c**2 - 14*c - 1. What is the thousands digit of v(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vro when three letters picked without replacement from rrvvrrvvsssoshr?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 71 + -76. Which is the biggest value? (a) 5 (b) f (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*k = -910*k - 367*k - 218*k + 120560 for k.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 500674019 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 43\/2 of a centimeter?\nAnswer: 215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*r**3 - r**3 - 8*r**2 - 2 + 11*r**2 + 2*r + 4*r**3 to the form k + s*r + m*r**2 + o*r**3 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.8 + 2.2. What is the nearest to 2\/3 in 3, f, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 12204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 + 3*s + 58. Let d be z(9). Suppose 5*x = y + 3, -3*y + d*x + 36 = y. Calculate the smallest common multiple of 5 and y.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -6.2, -18, 2\/7 in increasing order.\nAnswer: -18, -6.2, 2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 4*v + 25, 2*z + 0*v + v = 5. Suppose 0*q = z*q - 105. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29175*c**3*q**2 - c**3 + 13*c**2 + 41*q + 1 wrt q.\nAnswer: 58350*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (7 - (21 - 7) - 8)) + 19?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwwwwwwqiwwwww. Give prob of sequence iqw.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -16*z + 7*z + 9*z + 18*z**2. Let k(v) = 5*v**2 + 270*v - 270*v. Determine r(k(l)).\nAnswer: 450*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 121 + 99. Let a = r + 24. Let q(i) = i - 14. Determine q(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from piipipiiii. Give prob of picking 4 i.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*o + 31*o + 57*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1553992 is divided by 1036?\nAnswer: 1028","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 7*t**2 - 29*t - 12. Determine f(8).\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -14*((-333002)\/868)\/131\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 + 30*b - 37. Let p be m(13). Let h = p - 182. Solve -2*y - 2 = t - 0*t, -23 = -h*t + 5*y for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-5))\/(6475\/375 - 17).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 10*x + 3849 = 3*y, 0 = -4*x. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2 - 5531*x - 5014932.\nAnswer: (x - 6324)*(x + 793)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -317*d - 21563. Calculate u(-68).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 45 + -40. Let h be (-1 - -6) + 0 + -3. Find the second derivative of -a**5 + 3*a + h*a**5 - 5*a**k wrt a.\nAnswer: -80*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.1 - 2. Let o = -0.1358 + 130.3358. Let y = -131 + o. What is the second smallest value in y, r, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -12*y**3 - 5*y**2 - 4*y - 4. Let i(m) = m**3 + m**2 + m + 1. Give 3*i(t) + j(t).\nAnswer: -9*t**3 - 2*t**2 - t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1948354*g + 1025355 wrt g.\nAnswer: -1948354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -291 - -294. Suppose 9 = -a + 2*a - z*m, -5*a + 2*m + 19 = 0. Solve 0 = 7*c - a*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 223 - 222.997704. Round c to four decimal places.\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.4 + 1.4. Let v = 14 + -13.7. What is the nearest to 2\/5 in v, 0, t?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -20773085*s**2 + 54690*s + 9115. Let n(d) = -9115*d**2 + 24*d + 4. Give 9115*n(q) - 4*r(q).\nAnswer: 9115*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -3*r + 4. Suppose 2*m = -2*m. Suppose m*l - 282 = -3*l. What is the remainder when l is divided by d(-4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 306624.1 weeks?\nAnswer: 3090770928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 165006648 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 801?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23834361.\nAnswer: 3, 7944787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -155, 552.6, -0.08, 3\/4, 1 in increasing order.\nAnswer: -155, -0.08, 3\/4, 1, 552.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.09025649 to 3 decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 198 - (5 + -3 - 1). Suppose -43 - w = -3*x. Is 16 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*c + 20*c - 12 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3740 - -22309\/6. Calculate the common denominator of -51\/16 and s.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40 + 68. Does 28 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*g**2 - 3*g**3 + g**3 - 2 + 1 + 0*g**2 as z*g + k + i*g**3 + c*g**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -244*f + 8 = -246*f. Put f, -30, -5, 3 in descending order.\nAnswer: 3, f, -5, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -6. Let c be -6 + 2 - (-2)\/((-6)\/(-15)). Is -1 + (11 + n)\/c a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**2 + 3 - 3 + (0 + 2*w + 0)*(-4*w + 3*w + 5*w).\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 12:31 PM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 174.1403ml to litres.\nAnswer: 0.1741403","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*h - 10. Let r = 44 - 44. What is the tens digit of (h - 2)\/3 + r + 71?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72776134.\nAnswer: 2, 197, 184711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 11808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.8 - 6.42. Let z = p + 0.535. Let y = -0.015 + z. What is the smallest value in y, 0.03, 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - 4*a**2 + 9*a - 5. Let l be b(3). Suppose -16*i = -1453 + l. What is the remainder when i is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.06565 - 4614.93435. Let p = 4614.8107 + o. What is p rounded to two decimal places?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -30.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*h - 1549 - 11303 = 0. Is 34 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7651214?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1539556 to the power of 1\/4, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*p, -2*p = r - 4*p - 1148. Let l = -352 + r. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/4 + 102 + 11623\/(-118). Let g(r) = -3*r - 2. Let u(n) be the third derivative of n**4\/2 + 3*n**3\/2 - n**2. Give x*u(o) + 18*g(o).\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6873*y**3 - y**2 + 18863 wrt y.\nAnswer: 20619*y**2 - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1142 + 1401. Calculate the greatest common factor of r and 925.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = m - 5, -5*m + 2 + 23 = 0. Suppose -5*x = -s*x + 10. Let b = x - -30. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 - 203*i - 756. Give f(-5).\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -25441*r. Let o(v) = 4*v**2. Give o(p(l)).\nAnswer: 2588977924*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1678689 to the power of 1\/2, to the nearest integer?\nAnswer: 1296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60625, -120015, -179405, -238795, -298185?\nAnswer: -357575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 3390579?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -2*m - 4*p, -12*m + 7*m + 8 = -2*p for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 2:47 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.4826 - 0.0277. Let o = u - 2.4627. What is o rounded to one decimal place?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.099 or 50?\nAnswer: -0.099","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 0*q - 2*q = 8, -r + 9 = 4*q. What is the third derivative of 3 - 3 - k**2 + 0*k**5 + k**r wrt k?\nAnswer: 60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-3)*750\/(-875).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -2\/5 (b) -3 (c) 1 (d) 0.373\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) + sqrt(432)*2*-4)\/sqrt(9).\nAnswer: -28*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -6*h. Suppose v - 3 = -0*v. Suppose -r = v*c - 17, -c - 3*c = 2*r - 24. Let u(l) = r*l**2 - l**2 + 0*l**2. Give u(g(k)).\nAnswer: 36*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*1 - (9 + -6). Let v = q + 16. Suppose -o - 3*o = v. Which is the closest to -0.1? (a) 3 (b) -3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 120 and 520?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010 + -110000?\nAnswer: -11110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of 8645*r**4\/12 + 3491*r**2 + 26*r - 230. Differentiate v(t) wrt t.\nAnswer: 17290*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 66064?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -35656 or -35653?\nAnswer: -35653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11088 = -10*o + 5402. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -18904860*g. Let k(s) = 3*s. Give k(a(v)).\nAnswer: -56714580*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -6*i**5 + 369*i**4 + 1011*i**3 - 3141*i**2 - 7809*i - 4032 = 0.\nAnswer: -7\/2, -1, 3, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 19\/(-45) - 27\/(-135). Suppose -2*g + g + 1 = 0. Is u equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 2) in base 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/14 and -55\/188336?\nAnswer: 1318352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -294800923*y**4 + 1633166*y**2 - 4*y wrt y.\nAnswer: -7075222152*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iyey when four letters picked without replacement from wieyyer?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/(1\/2 - 2). Let j(p) = -p**3 + 6*p**2 + 6*p + 6. Is j(l) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**3 - 4*p**3 + 2*p**3)*(-3*p + 6*p + 0*p) - 316*p**4 - 981*p + 981*p.\nAnswer: -328*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 134*i = 136*i - 34, 0*i + 10 = 2*z - i for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3 or 9674.14?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 5*d = -38, -2*d = x - 0*d - 24. What is the units digit of (x\/(-20))\/(2\/(-410))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -4. Let u = -2.55 + 1.46. Let j = u - -1.19. Which is the second smallest value? (a) 1\/3 (b) p (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-2\/7)\/(j\/(j\/j**10)) assuming j is positive.\nAnswer: j**(-72\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -8*o**2 - 3*o - 2. Let m be s(-1). Let u be (21\/m)\/((-3)\/19). Let v be (u + -18)\/(7\/(-2)). What is the nearest to 2 in v, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -164 + 597\/4. Find the common denominator of 77\/(-2) + -6 + 2 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67630062, 135260122, 202890182, 270520242?\nAnswer: 338150302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 0, -5, 0.4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1234, 1231, 1226, 1219?\n\"Answer: -j**2 + 1235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54*(2*4 + 414\/(-54)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - 7*p**2 - 3*p - 1. Let m(i) = 2*i**2 + 17*i + 3. Let j be m(0). Let y(c) = -2*c**3 - 14*c**2 - 5*c - 1. Give j*y(r) - 5*n(r).\nAnswer: -r**3 - 7*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 14*x + 11. Let r = -45 + 38. Let w(v) = 2*v**2 + 12*v - 10. Let i be w(r). Let g(t) = 5*t + 4. Calculate i*a(k) - 11*g(k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 258 + -89. Let d = n - 167. Solve 4*x - d*f = 2*x - 2, 4*f = -5*x + 22 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 124931, 249820, 374673, 499496, 624295, 749076, 873845?\n\"Answer: f**3 - 24*f**2 + 124954*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -112*w + 152.\nAnswer: -112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 142769959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 70452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (d - 2 + 2)*(14*d - 19 + 19 + (-1 + 2 + 1)*(-d + d + d) - 2 + 2 + 2*d - 2 + 2 + d)*(-1 + 0 + 0) in the form w*d**2 + t*d + p and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31970.0282804 + 6603669.0301004. Let a = q - 6571808. Let h = a + 109. Round h to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-1150)*-23*(-10)\/12?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 y when three letters picked without replacement from {a: 1, l: 1, o: 1, f: 1, y: 2, b: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8 - -1)*18\/18. Let v be ((-6)\/i)\/(2\/(-3)). Let q be v\/(6 + -4 + 5). Which is the smallest value? (a) -5 (b) q (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1755 - 1754. Let a(c) be the third derivative of c**4\/24 + c**3\/6 + c**2. Let q be a(3). Solve 0 = -h + q*w + f, 3 + 2 = 5*h + 4*w for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*s + 1128751 - 193837 = 0. Is s a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, r: 6}. Give prob of picking 2 r.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -3*x + 17. Let h be q(5). Suppose -2*j + 12 = 4*a, 0*j = h*j - 5*a + 15. Suppose j = -85*s + 84*s. Solve 3*l - 7*l - 12 = s for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 648046 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -105721, -211410, -317095, -422776, -528453?\n\"Answer: 2*k**2 - 105695*k - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 104 and 136?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - ((-3)\/4 + (-14)\/(-56))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 3*r**2 + 5*r**2 - 10*r**2 as q*r + n*r**2 + w and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence huo when three letters picked without replacement from {u: 1, h: 4, a: 9, o: 2, x: 3}.\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 p when two letters picked without replacement from {a: 1, s: 4, d: 1, e: 9, p: 1, o: 1}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/10)\/(2\/(-4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 20 - 4 = 0. Solve -5*r + v*l = -0*l + 17, 5*r = 5*l - 20 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -234422 times -0.18\nAnswer: 42195.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6 + 5)\/((-1)\/2). Let a = 4 + -2. Suppose 0 = m + a*m - 12. Solve -2*y - h = -m for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s - 7. Let o be u(6). Let b be 7 + -2 + -2 + 2. Suppose o*v - b = 4*v. Solve -2*p - 3*z + v = -0, -2*p = -3*z - 11 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9789120 a multiple of 240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -365231.370013 - 0.8.\nAnswer: -365232.170013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 303 + -334. What is the tens digit of v*((-149)\/8 - (-66)\/(-176))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/182 + (0\/(-5))\/(-2)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6046488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.043 + -0.0795. Let s = a + 4.2265. Let n = -2.36 + s. Round n to one decimal place.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -451*l - 384 + 384 to the form y + s*l and give s.\nAnswer: -451","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 2, 5\/1038?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.5 - 5.5. Let s = r + 6. Is s at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1986050627?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -156.648 - -156. Round w to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -4 - -48 - (-33 + 23 + 1 + 12)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79807?\nAnswer: 7, 13, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 3\/4 (b) -1 (c) -1\/2 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 140904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177968557.\nAnswer: 13, 37, 369997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -43549, -174203, -391965, -696841, -1088837, -1567959?\n\"Answer: -g**3 - 43548*g**2 - 3*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/7 + ((-215)\/(-129))\/(35\/18).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51792, 4, -10 in descending order.\nAnswer: 51792, 4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8583\/8 + -111611\/104. Let y = 202\/63 + -58\/21. Which is the smallest value? (a) 17 (b) y (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(98) + (sqrt(98) - -3*sqrt(98)) - sqrt(98)) + 3)*1 + 5)**2.\nAnswer: 448*sqrt(2) + 1632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/16 and -67\/863480.\nAnswer: 1726960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-50881)\/(-1825) - 13) + (-30)\/(4\/2)\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54526 (base 9) in base 14?\nAnswer: -d262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2160132041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - x = -7*i + 44, i - 3*x = 28. Suppose 0 = -i*j - 5 + 122. What is the highest common divisor of j and 225?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -566539780 to the nearest one hundred thousand.\nAnswer: -566500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8480.\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -102310 + -3?\nAnswer: -102313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1057, 2115, 3173, 4231, 5289?\n\"Answer: 1058*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8470974 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: What is prob of picking 1 k and 1 n when two letters picked without replacement from {e: 5, n: 1, k: 5}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1096135150 rounded to the nearest one hundred thousand?\nAnswer: -1096100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8782838 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence isxq when four letters picked without replacement from {i: 1, q: 3, x: 6, u: 1, s: 3}.\nAnswer: 9\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13\/3, 2, -4, 1\/2, 6 in decreasing order.\nAnswer: 6, 13\/3, 2, 1\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2. Let l(r) = 20*r - 237. Calculate x(l(w)).\nAnswer: 400*w**2 - 9480*w + 56169","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 759 and 68772?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(112) + -3 + 4 + -1.\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**3\/2 + 2905827*r**2\/2 - 5811663*r\/2 + 2905833\/2.\nAnswer: 3*(r - 1)**2*(r + 968611)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -360 + 519. What are the prime factors of c?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -172114?\nAnswer: 172110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-3)*5142\/(-41993)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.01 + -5.31. Let s = -0.7 + g. Let d = 0.3 - 0.6. Put 0, d, s in ascending order.\nAnswer: s, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -6 - 4*v - 6 + v**2 + v + 6. Let k be i(5). Solve -k*h + 5*h = 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*((l**10*l)\/l*l)\/l*l)*l)**(-29) assuming l is positive.\nAnswer: l**290","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -8399699 (base 10) in base 4?\nAnswer: -200002231103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i + 14. Let f be m(14). Suppose -5*r + 3*r + 32 = f. Does r = 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 2*f**2 - 3*f + 2. Let t(k) = 2*k**3 - 4*k**2 + 6*k - 5. What is 3*t(a) + 7*x(a)?\nAnswer: -a**3 + 2*a**2 - 3*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37 and 88430?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of -l**5\/4 + l**3\/6 - l**2\/2 + 9*l - 1. Let w(z) = -16*z**3 + 4*z - 3. Calculate -7*q(p) + 2*w(p).\nAnswer: 3*p**3 + p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 2*p**2\/15 + 299806*p\/15 + 299804\/15 = 0.\nAnswer: -149902, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/21 + 612\/(-14). Let w = -22 - -72. Let z = u + w. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -49*q - 1459. Let k be c(-28). Is k greater than -67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30 - 21. Suppose 0 = -4*x - 4*f + 44, -x + 5*f - i - 10 = 0. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/3114 and -95\/332.\nAnswer: 516924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of -f**5\/120 - 25*f**3\/6 + f**2\/2 + 4*f - 5. Let c(x) be the second derivative of r(x). Let o(v) = 33*v**2 - 2. Give c(o(t)).\nAnswer: -33*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10*u**2 + 163 + 3*u**2 - 150 wrt u.\nAnswer: 26*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 827\/5 - 165. Put v, 9, -0.1 in increasing order.\nAnswer: -0.1, v, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 781.1773l in millilitres?\nAnswer: 781177.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -18*x + 129. Let z be y(7). Suppose -z*w - 766 + 1954 = 0. List the prime factors of w.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/15 + 32\/10. What is the remainder when -14*((-9)\/2 + 2) is divided by ((-19)\/2)\/(z\/(-8))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -5*f**3 + 355*f**2 + 1560*f - 4500 = 0.\nAnswer: -6, 2, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1545341 + 16?\nAnswer: -1545322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 66*a**2 + 8*a - 5. Determine d(1).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.6*-0.2.\nAnswer: -0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198867 is divided by 7648.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 610 - 452. Let m = j - 475\/3. What is the closest to 0.1 in -27, -5, m, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express x**4 + 2*x**4 - 5*x**4 + (-x + x + x)*(1 - x**3 - 1) + 2*x**4 - 1318 + 1318 + 8*x**3 as h*x + w + j*x**2 + u*x**4 + n*x**3 and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 635265 and 513.\nAnswer: 1905795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -57.809 rounded to the nearest integer?\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -291 + 494. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + -21 + 4\/2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - 6*s**2 - 2*s + 10. Let p be f(-5). Let b(q) = -q**2 + 2*q - 5. Let d(m) = -m + 2. Give p*d(v) - 2*b(v).\nAnswer: 2*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((a*a**(-1\/3)*a)\/a))**(-48))**39\/(a**(-1\/6)\/a*a\/(a\/a**(-8))*(((a\/(a**0\/a*a*a))\/a)\/a*a)**5) assuming a is positive.\nAnswer: a**(-3659\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 42, -361, -3.\nAnswer: -361, -26, -3, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -6547\nAnswer: 4\/6547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 + 26*s**2 - s - 3. Let p be a(4). Suppose -r = -337 - p. Is r a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 2. Solve l*f + 2 = 2*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnynnyynn. What is prob of picking 1 n and 1 y?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04842552818 rounded to 5 decimal places?\nAnswer: -0.04843","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 9\/10 of a decade?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 4*h**3 - h + 1. Let s be z(1). Let d = s + 0. Suppose -9 = 3*w - d*w. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 485602495?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 82\/(-6) - 1\/3. Let a = 103 + -116. Is a < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 4*l**2 + 2*l + 11. Give r(5).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*q = 115800 + 419477. Is q 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 -3, 22, 47, 72?\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 758 a factor of 601282742?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-102*w - 5*w**2 + 102*w)*(4 + 2 - 4) - 5*w**2 + 2*w**2 + 2*w**2 + 5*w**2 - 2*w + 2*w - 12*w + 12*w + 13*w**2 in the form j + y*w**2 + l*w and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 u when two letters picked without replacement from {h: 6, u: 6, y: 4, j: 2}?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 547 a factor of 21565269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t*t**7*t)\/t*((t\/((t\/(t*t*t*t\/(t\/(t*t**(-1\/5)*t))*t))\/t))\/t)\/t)\/(t*t**(-2\/7))**18)**(15\/7))**(-2\/47) assuming t is positive.\nAnswer: t**(12\/2303)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 - b + 1. Let q be z(-2). Let t(r) be the first derivative of r**3\/3 - 9. Calculate t(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {y: 11, e: 4, w: 4}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-2\/39)*o\/o**7*o**(2\/7)\/(o*o**(-18)\/o))**(-43) assuming o is positive.\nAnswer: o**(-156563\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 (base 6) in base 10?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7\/11? (a) 4 (b) 0.5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*k + 3*k**3 - 341 + 24 - 53 in the form x*k + n*k**3 + z*k**2 + a and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of -8*w + 0 + 3*w**2 + 1\/6*w**3. Determine y(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40 - (38 + -85)) + 5 + (0 - -1).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/29? (a) -2\/3 (b) -0.5 (c) 0.08 (d) 3 (e) 0.39 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 14*w - 18926*w**4 - 9*w**2 - 11*w + 18922*w**4 as u*w + o*w**2 + y + q*w**4 + p*w**3 and give o.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/2 (b) 0.09 (c) 4 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 12:07 AM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -21*w**2 - 7*w - 25. Let c(g) = 14*g**2 + 5*g + 17. Let t(a) = 5*b(a) + 7*c(a). What is the derivative of t(s) wrt s?\nAnswer: -14*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -75535 + 36466 + 36313 - 1624*b**4 wrt b.\nAnswer: -6496*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8878117?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 + v + 6. Let o be y(3). Suppose -16 = -d - 3*d. Suppose 36 = 4*r - o*r - 5*w, 0 = d*r + 5*w - 36. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4556.6887 + -4557. Let v = l - -0.42104. Let b = 0.11 - v. Round b to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 5*s. Let g = 77 - 73. Suppose 3*t - 6 = -m, 0*t - 7 = -g*t - m. Give o(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + -61668?\nAnswer: -61671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/27234 and 19\/2241?\nAnswer: 6781266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 695 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*i**3*n**3 - 2*i**3 - i*j*n**3 + 2*j*n**3 - 16*j - 2*n**2 wrt n?\nAnswer: -54*i**3 - 6*i*j + 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -4, 171, -5, -51?\nAnswer: 171","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -101 + 110. Suppose 2*n = i - 3. What is the third derivative of 8*g**3 + 9*g**2 + 2*g**3 + 14*g**2 + 4*g**n wrt g?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 16 = -4*a, 4*j + 2 = -5*a + 13. Let t be (-1)\/(6\/(-4))*a. Suppose 0*w - 1\/2*w**t - 3\/2*w**3 + 0 = 0. What is w?\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssa when three letters picked without replacement from {s: 2, x: 1, g: 4, a: 10}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*p**3 + 1031280*p**2 + 3093783*p - 10312710 = 0. Calculate p.\nAnswer: -343757, -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 19 = 5. Let p(j) = 5*j**2 + 18*j - 38. Let r be p(-5). Let f be r*d\/(-18) - -4. Put f, -2, 2, 5 in decreasing order.\nAnswer: 5, f, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 4*y + 106 = 0, 5*m = m - 5*y + 141. List the prime factors of m.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -82?\nAnswer: -24.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (14\/1)\/(49410\/(-74115))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 4 - 91 = 4*i, 1316 = 36*h - 4*i for h.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = 2*b - 3*s - 6, -2*s - 8 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -145*x + 168*x - 2392. Is x at most 103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**2. Let g(d) be the first derivative of -661*d**3\/3 + 350. Determine g(a(u)).\nAnswer: -2644*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 2*u)*(u**3 + u**4 - u**3) + (6 - 7 - 6)*(-5*u**5 - 2*u**5 + 4*u**5 + (7*u**4 + 10*u**4 + 15*u**4)*(-1 + u + 1)).\nAnswer: -205*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 243 + 125. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggtt when four letters picked without replacement from gzttttfgtttttt?\nAnswer: 15\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.8 less than 291714?\nAnswer: 291692.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of 0*q + 25*q**2 + 0*q**3 - 2\/35*q**7 - 5\/8*q**4 + 0*q**5 + 0*q**6 + 0. What is the second derivative of g(k) wrt k?\nAnswer: -144*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**4\/11 - 5268*a**3\/11 - 4110210*a**2\/11 - 800804744*a\/11 = 0 for a.\nAnswer: -1171, -292, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 685085 (base 9) to base 10\nAnswer: 410504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -554 (b) -133 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 71019?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -800 - -799.7. Which is the nearest to 2\/39? (a) 1\/8 (b) u (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 2564*b**2 - 1731*b**2 - 1594*b**2.\nAnswer: -5889*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13760 and -63.\nAnswer: 866880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 + 41 = 3*r - 5*o, -3*r - 2*o = 16 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -23*m**2 - 68*m - 65. Give x(-1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50 - ((-3 - 0) + -66 + 47 + 9 + 20)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*i**3*l + 24231*i**3 + 2*i**2*l + 4*i**2 - 6386*i*l - 3*i wrt i.\nAnswer: -30*l + 145386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 - 15. Let g be 35 + (2 + 1 - j). Suppose -4*t = -4*h + 2*h + g, -4*h + 37 = 5*t. Is 5 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 6 + 14 = 0. Is -2*1\/(w\/(-170)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -19*d**5 + 2*d**3\/3 + 19*d + 128. Find the third derivative of z(p) wrt p.\nAnswer: -2280*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/(p*p**2))\/((p**(-2\/11)\/p)\/p*p)*p\/(p\/p**(-2))*p\/((p**(-2\/31)\/p)\/p))**(-2\/11) assuming p is positive.\nAnswer: p**(-850\/3751)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -7*n**2 + 2*n. Let x(p) = 3*p - 3. Let d(g) = 2*g - 2. Let o(m) = -7*d(m) + 5*x(m). Let v(t) = -c(t) + o(t). Determine v(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1222787 to the nearest integer?\nAnswer: 1106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -149*v**2 - 31*v + 1. Let b(f) = -150*f**2 - 26*f + 1. Calculate -6*b(s) + 5*z(s).\nAnswer: 155*s**2 + s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b - 6. Let d(y) = -18*y**3 + y**2 - y + 1. Suppose 0 = 2*a - l - 7, -2*a + 2*l + 11 = -1. Let p be d(a). Let g(i) = 3*i - 17. Give p*h(x) + 6*g(x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9667, -19344, -29021, -38698, -48375, -58052?\nAnswer: -67729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mqq when three letters picked without replacement from minuqcq?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 344, 1277, 2796, 4901, 7592, 10869, 14732?\nAnswer: 19181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00029911 to 6 decimal places.\nAnswer: 0.000299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3a286 (base 11) to base 6.\nAnswer: -1122305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 142 - 142.3. What is the closest to -0.3 in 0.2, -1, 4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -h + 4, 4*s - 15344 = -10*h. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-58)\/3625*155)\/(((-80)\/(-100))\/(2*-1))?\nAnswer: 31\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(-8)\/(-20))\/(5*58\/(-100))?\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 + 12*j - 43. Let s be u(-15). Suppose -4*z + 2*g = 20, -s*g + 3*g = -4*z - 20. Let b(c) = -c - 11. Let v be b(-5). Is v at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a gram in milligrams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/(-5))\/(20\/50). Suppose 5 = b*s - 1. Let q = 1540 - 1537. Solve q*r = 4*d - 4, 5*d + 6 = s*d for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*o**2 + 2*o**2 + 3 - o**4 + 2*o**4 - 2*o**2 to v*o**2 + i*o + l + a*o**4 + y*o**3 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from ccccccnncn.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 23555101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 4*c. Let p(f) = 1. Let i(m) = 3. Let u(q) = 3*i(q) - 8*p(q). Let a(x) = -x + 5. Let o(v) = a(v) - 5*u(v). What is o(g(h))?\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 3:12 AM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 128 = c + 5*s, -4*c + 2*s = 152. Let a(o) = o**2 + 9*o - 3. Let z be a(-7). Let u = z - c. Solve 5*y = 3*l - 2*l + u, -4*y = -5*l - 32 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 477 + -491. Which is smaller: d or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*o - 7*o + 230200 = 0. What is the thousands digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -120351 divided by -17193?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-b**4 + 0*b**4 + 3*b**4)*(29000 + 11618 + 56284 + 13740) to i*b**3 + s + h*b**4 + t*b + r*b**2 and give h.\nAnswer: 221284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = u + 2. Suppose -3*f - u*f = -1035. Suppose 59 = i + 5*n - f, -n - 1169 = -4*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (10 - 3) + (-2)\/1. Suppose i - 2*x = -t, 0 = -x + 5 - 0. Suppose -2*d = -3*c + 4, -d = -3*c + i*c - 5. Solve -4*v + 5*v = -c for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 390 = -4*j, -f + 112 - 23 = -3*j. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 10:48 PM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 81*l**2 - 4 + 79*l**2 + 7*l - 2*l. Suppose -3*v = -6*v + t + 20, 2*t = v - 15. What is the units digit of w(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 924771576 a multiple of 3247?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -3*z**2\/2 + 9*z + 13. Let i be r(6). Find the common denominator of ((-932)\/(-16) - -4)*2\/i and 50\/11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 (base 10) to base 2\nAnswer: 10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 99 + -92. Let g(r) = r**3 - 5*r**2 - 6*r + 7. Let x be g(y). Let v = 89 - x. What is the highest common factor of v and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 5:46 AM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 6 = 4*r. Suppose r*m - 5*y - 22 = -0*y, -4 = -4*y. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -13*f. Suppose -d + 2*u = 3, 2*d - 2 = d + u. Let c(b) = 7*b. Give d*c(j) + 4*s(j).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 230*a + 227. Let z be u(7). Suppose f = -3*f + 40. Suppose 0 = -f*q - q + z. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -96 + 62. Let z = x + 5. Let d = -27 - z. What is the greatest common factor of d and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 172 and 0.02.\nAnswer: 3.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79728.\nAnswer: 2, 3, 11, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1115*i - 5487 + 12375 = -10362 - 7280 for i.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n + 10. Let h be w(-9). Which is bigger: h or 2\/7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -6*a - 59. Let k be n(-10). Let h(s) = -4*s**3 - 2*s**2 + 1. Calculate h(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/600 and -59\/2120.\nAnswer: 31800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (310\/(-496))\/(20*(-8)\/(-192)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 61.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7367*j - 7366*j = 3*n + 336, 0 = -2*j + 2*n + 684. Which is greater: j or -12?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583.9533 micrograms in tonnes?\nAnswer: 0.0000000005839533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2549 - 2545. Let x = 312 - 310. Which is the nearest to -0.1? (a) x (b) 15 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - 13. Let r = 1 + -1. Suppose -5*o = 2*c, 2*c = -0*c - 4*o + 4. Solve r*b + 2*b + c = f for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/k**(-25)*k*k*k*k\/(k*(k*k**(-34))\/k*k)*k*k*k assuming k is positive.\nAnswer: k**65","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -166930000 to the nearest 1000000.\nAnswer: -167000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 5*z + 4 - 28, -z = 4*a + 32. Is 408 + (-14)\/(-56) + (-6)\/a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2459100 divided by -140\nAnswer: 17565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*u - 3. Let n be 10 - 5\/(u + 5). Let b(r) = -r**3 + 9*r**2 - 9*r - 3. Is b(n) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-90)\/(-24))\/5*-4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 569, 939, -48\/5 in descending order.\nAnswer: 939, 569, -0.2, -48\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-44)\/12 + (3 - 0). Let q = -8 + 11. Suppose -4*x + 7*x = -k - 26, -15 = q*k. Is r at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -422773 + -25?\nAnswer: -422808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 20845.35 to the nearest one thousand.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -53?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -161\/30 and -25\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of -13*c**2 + 0*c + 0*c**3 - 1\/60*c**5 - 5\/24*c**4 + 0. What is v(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3.16? (a) -9\/5 (b) -3 (c) -5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 - 35*u**2 + 72*u**2 + 2 + 11 in the form q*u + g*u**2 + m and give g.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (1 - 41) + -118 + 139.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1310358.\nAnswer: 2, 3, 7, 4457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 45*m**2 - 55*m + 421. Is b(26) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (9\/(-6))\/(12\/(-632))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of 4 - s**2 + 5\/3*s**3 - 6*s + 1\/4*s**4. Calculate l(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1681 != 1681?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*b**4 + b + 12*b**4 - 2*b**3 + 16*b**4 in the form c*b**3 + z*b**2 + v*b + r*b**4 + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 607886.8ms?\nAnswer: 607.8868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*z**2 - 5*z**4 + 8*z**2 + 8*z - 6*z + 5*z**3 to g*z**3 + l + k*z**2 + c*z + h*z**4 and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12011 by 25336.\nAnswer: 12011\/25336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of 2*b**5\/25 + 58*b**4\/5 + 2392*b**3\/5 + 12992*b**2\/5 + 25088*b\/5 + 1443. Factor p(v).\nAnswer: 2*(v + 2)**2*(v + 56)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + b + 1. Let l = -60 + 61. Suppose -l = 81*g - 80*g. Give a(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 196\/21 - 5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -7 + 227*v - 108*v - 112*v. Determine h(-8).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -188813, -188821, -188829, -188837, -188845, -188853?\nAnswer: -188861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, u: 3}. Give prob of picking 2 u and 1 q.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*r - 5*r + 7*r**3 + r**2 + 97*r**3 + 92*r**3 - 51*r**3 as a*r + c*r**3 + q + u*r**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 928*m**2 + 238 + 431 + 666*m - 1856*m**2 + 925*m**2 = 0. What is m?\nAnswer: -1, 223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -128 and 0.09.\nAnswer: -11.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 756 and 10746036.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 912 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -140d3 (base 14) to base 3.\nAnswer: -2112000012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -36*g**3 - 15*g**2. Let y(o) be the second derivative of -o**5\/4 - o**4\/6 - 2*o. Give -2*r(q) + 15*y(q).\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5*(24\/(-20))\/3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -5*o**3 + 2*o**2 + o - 1. Let a = 17 - 19. Let w be (a - (0 + -1)) + 0. Let k be b(w). Solve 0 = -f - 4, k*d + 21 = -4*f - 5 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n + 38255418 - 38255418.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-114114)\/(-12) - 1\/(-2). What is j rounded to the nearest one hundred?\nAnswer: 9500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.02 + -0.09. Let z = l + -0.03. Let b be ((-6)\/(-15) - 0)*(-92)\/(-184). What is the smallest value in z, 2, b?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1820 and 390.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 97495.3 rounded to the nearest one hundred?\nAnswer: 97500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9365\/2 + 4683. Let b be 0 + 1\/120*5. Which is smaller: n or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) + -1*sqrt(252))\/sqrt(6))\/((sqrt(24) + sqrt(6))*5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 + y - 2. Let q be (-20 - -16) + (2 - 1). Let r be d(q). Solve 0 = -5*u + r*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 + 19 - 1)*(3 - 3 - 2*i) as p + u*i and give u.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720) + sqrt(720) + -1 + -1)**2 + sqrt(720) + (sqrt(720) - (sqrt(720)*2 + sqrt(720) + -1))**2.\nAnswer: -132*sqrt(5) + 5765","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*q - 50 + 182. Calculate the highest common divisor of 110 and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2226*k**3 + 6788*k**2?\nAnswer: 13356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -297 + 306.11. Let l = -0.11 + q. Let k = l + -9.3. Which is the closest to -2\/7? (a) k (b) 3 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 333211 (base 4) in base 5?\nAnswer: 112234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 + 11*g - 87. Determine y(-15).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 15*u - 511. Determine s(36).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -951.52 + 947.4571. Let z = 0.0629 + p. Which is the second smallest value? (a) 4 (b) z (c) -21 (d) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(4*(2*sqrt(288))**2 - sqrt(288))*-6.\nAnswer: -72*sqrt(2) + 27648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3176849, -6353703, -9530557, -12707411, -15884265, -19061119?\n\"Answer: -3176854*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, -41\/12, 4, 0.1, 2?\nAnswer: -41\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 64\/(-1024)*1872\/9\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(-150)\/(-14) + 2\/7. Let i(m) = -m**3 + 13*m**2 - 4*m - 9. Is i(d) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (444\/(-592))\/((-1)\/(-4)*-1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.9 + 1.5. Let p be (-43)\/(-9) + (-8)\/(-36). Let t be (2\/p)\/(11\/(-5)). What is the second smallest value in l, 0, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -13*x**3 - 5*x**2. Give v(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 188187 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 11 + -2 + 0 - -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + 7*u**2 - 6*u + 8. Let s be 4\/(4 - 0)*6. Let q be c(s). Let x = 13 - q. Solve 0 = -x*i + 3*f + 8, -i - 3*f - 16 = -8*f for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 532 by 28.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 802812 and 1341.\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.1296 - 240.\nAnswer: -236.8704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1290 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: Simplify (2*-4*-1*sqrt(245) + 5)**2.\nAnswer: 560*sqrt(5) + 15705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -y + 6675, 2*y - 57477 = -7*h - 10782. Does 19 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (10 - -3) + -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*a - 0. Suppose -a*y**3 + 0*y + 50 - 44 + 9*y = 0. What is y?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/36 and 53\/46.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157 = -5*c - 17. What is the greatest common factor of 476 and c?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 + 2*r - 10. Let k be o(7). Let i = 71 - k. Calculate the highest common factor of 45 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -177288299 - j + 177288299.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/2)\/(15\/(-4)). Let r be (48\/36)\/(4\/(-54)). Let f be 2\/(((-12)\/18 + 0)*r). Which is greater: n or f?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 12 = -5*d. Let x be 22\/(-5) - (-4)\/10. Sort 3, d, x.\nAnswer: d, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 699 - 23955*h - 349 - 350.\nAnswer: -23955*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 14*q**2 - 581*q + 880. What is v(40)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 107788044?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405)*2 - sqrt(5)) + 3*-2*sqrt(5))**2 - (-6*(1 + sqrt(605) - sqrt(605))**2 + sqrt(605)).\nAnswer: -11*sqrt(5) + 611","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -78*c**2 - 17*c + 35*c**2 + 16*c to the form i + k*c + m*c**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 p, and 1 v when three letters picked without replacement from {v: 8, a: 2, p: 5, o: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1384589 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/4))**21\/(y**(1\/4)\/(y\/((y**(-8)\/y)\/y))))\/((y**0\/y)**(-50)\/(y**2)**(-18\/5)) assuming y is positive.\nAnswer: y**(-206\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zylzzzzzzzlzzzzzz. What is prob of picking 1 z and 1 l?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 465, 931, 1397?\nAnswer: 1863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i*i**(2\/7))*i**(-2)\/i*i*i*i**(-9)*i*(i\/i**6)\/i assuming i is positive.\nAnswer: i**(-107\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 - 4*y - 1. Let i be l(6). Let x(r) = -r**2 + 10*r + 16. Let z be x(i). Solve z*m - 3*m = 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 36 - 50 = -3*j, -149 = -5*j - p. Let l(v) = 30*v - 63*v + j*v. Let f(n) = 10*n. Give l(f(t)).\nAnswer: -30*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0297, -16, 0.1, -3\/16 in increasing order.\nAnswer: -16, -3\/16, 0.0297, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11172?\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -50*f + 2. Let m be w(-5). Calculate the common denominator of (27\/72)\/((-9)\/(-284)) and (-926)\/m - (-2)\/7.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1843 - 1841. Solve u*p + 2*k = -2 - 0, 0 = -4*p - 2*k - 6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 435644291 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 373*u + 148 = -378*u, -15*u = -2*t + 429 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -7*d + 6. Let c be -2 + (1 - 1) + 1. Let t(m) be the third derivative of -m**4\/24 + m**3\/6 - 24347*m**2. What is c*h(r) + 5*t(r)?\nAnswer: 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/61))**26 assuming y is positive.\nAnswer: y**(52\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199*p - 195*p + k - 38936 = 0, -5*p - 4*k = -48670. List the prime factors of p.\nAnswer: 2, 31, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 - 27. Determine c(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/6)\/((-1992)\/9). Let b = -6141\/664 + c. Find the common denominator of 35\/6 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -90*-22.03\nAnswer: 1982.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*v - 12578 + 19182 = -14164. Which is smaller: v or 943?\nAnswer: 943","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2. Let a(w) = -w - 5. What is t(a(h))?\nAnswer: h**2 + 10*h + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -98, -237, -436, -713, -1086?\n\"Answer: -3*j**3 - 12*j**2 - 82*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-4) + 6\/(-4). Let h = 12 + w. Find the common denominator of ((-127)\/5)\/(12\/h) and -71\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133148*a**2 + 133140*a**2 - 3 + a - a.\nAnswer: -8*a**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5457 and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4984679 to the power of 1\/3, to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*(-4)\/40*-8*12\/1392*2?\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -64537*p**2 - 23534 wrt p.\nAnswer: -129074*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from iiii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 6:07 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28017 and 3228747?\nAnswer: 849","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (sqrt(50)*2)**2) + -5.\nAnswer: -205 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence luu when three letters picked without replacement from jjlujulllulj.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 42 = 20. What is the units digit of 44\/(-11) + 0 + x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2500\/(-140)*(-350)\/(-125)\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 4*c + 15565418 = 19*c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 16\/8*(-1)\/(3\/2235). What is i rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 862744.\nAnswer: 2, 107843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 1530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5484907.\nAnswer: 113, 48539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 947, 927, 913, 905, 903, 907, 917?\n\"Answer: 3*j**2 - 29*j + 973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14691*t**4 + t**2 + 19623 wrt t.\nAnswer: -352584*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 383804 and 1660916.\nAnswer: 1676","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -161297 divided by 101\nAnswer: -1597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21 in 5, -0.2, 0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 3)*(-3*l + 3*l - l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c + 56. Give d(-27).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 1 + 14*x - 19*x + 6*x. Let s be -5 - 5\/(-5)*(2 - 0). Calculate j(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 614 - 608. Suppose -2*z = -4 - 2. Solve -2*x + f*x = 3*t + 4, -z*t - 10 = -x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4626*o + 4626*o - 2*o**2.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2112 + -2143. Which is the second biggest value? (a) 2\/3 (b) 9 (c) h (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 31*a**4 - 25*a**2 - 5. Let w(r) = -15*r**4 + 12*r**2 + 2. Let n(j) = -2*o(j) - 5*w(j). Find the third derivative of n(p) wrt p.\nAnswer: 312*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 16 and 1610.1378?\nAnswer: 25762.2048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 168198.65 to the nearest 10000.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 7*p**2 - 25*p + 5. Let o = -10 - -9. Let q(w) = -w**2 - 1. Let i(c) = o*n(c) - 6*q(c). Is i(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(((x\/(x\/x**(-2\/5))*x)\/x)\/x))\/x**(3\/5))\/((x*(x*x\/(x\/((x*x**(1\/8)\/x)\/x*x*x)))\/x)\/(x**(-1\/3)*x)) assuming x is positive.\nAnswer: x**(41\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -580 and 417136993.\nAnswer: 417136413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117*t + 45784*t + 62414*t.\nAnswer: 108315*t","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03 * 193.5.\nAnswer: 5.805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 26761 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 17*f + 6. Let n(j) be the third derivative of 11\/8*j**4 + 11\/6*j**3 + 0*j + 0 - 12*j**2. Let m(u) = -11*b(u) + 6*n(u). Let i(x) = -2*x. Give i(m(d)).\nAnswer: -22*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 15416, 62013, 139728, 248567, 388536, 559641?\n\"Answer: d**3 + 15553*d**2 - 69*d - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 104 by 52.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4*b - 3 = 2, -5*b + 64 = -4*z. Suppose 9*f - 163 - 89 = 0. Let u = z + f. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/78625197 and 31\/78625197?\nAnswer: 78625197","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10415 + 8612. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 6*m**2 - m + 1. Let y(z) = 2*z + 69. Let v be y(-34). Let x(p) = 2*p**3 - 25*p**2 - 3*p - 3. Let t(o) = v*x(o) + 3*i(o). Give t(-7).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -252, -244, -236, -228, -220, -212?\nAnswer: -204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -10. Let n be (-18)\/(-5) + g\/10. Suppose 16*f = 12*f + 4. Solve -a + 3*d = f, 3*d - n = 2*a - 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24\/(-28)*7\/(-2) + 2714?\nAnswer: 11, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 0 + sqrt(1125) + 2)*2.\nAnswer: 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4698 by -6.\nAnswer: -783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1542267 is divided by 52.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 36706000 rounded to the nearest 100000?\nAnswer: 36700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15)\/sqrt(20) + -3)*-4)**2 + (sqrt(54)\/sqrt(2)*-2)\/(sqrt(9) + (sqrt(729) - -2*sqrt(729) - sqrt(729) - sqrt(729)) + sqrt(729)).\nAnswer: -914*sqrt(3)\/19 + 156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3*f + 7 = 4*k, 5*k = f + 2. Suppose -2*m - f*h + 62 = -5*h, 3*m - 93 = h. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6027303 to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 812 and 222314.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2491 - 2475. Calculate the greatest common divisor of 84 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 4*q = 11*b - 5304, 2*b + 3*q - 5309 = 0. Let z = -1004 + b. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5285\/7550*(-10)\/(-35)*-2 - (-1)\/(-2)?\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 3*((sqrt(11) - 1*sqrt(11)) + 0 - ((sqrt(11) + sqrt(11) + 2)*2 + sqrt(11) - sqrt(11)))**2.\nAnswer: 96*sqrt(11) + 577","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16)\/sqrt(4))\/sqrt(2) + -5.\nAnswer: -5 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17270*f**4 - 2*f**2 - 5595*f?\nAnswer: 414480*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pjrwwpqpjqnrjppjpjqp. Give prob of picking 2 j, 1 n, and 1 w.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -85986, -85860, -85732, -85602, -85470, -85336, -85200?\nAnswer: -85062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, d: 1}. What is prob of sequence tdtt?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.10943867 to 5 decimal places.\nAnswer: 0.10944","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 14764.\nAnswer: 1476.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6635?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -29 (b) -1\/6 (c) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 4)*(-2 + 6 + 0)*(3 - 3*r - 3)*(-4 - 16 + 6)*(-5 + 2 + 1) + 2*r - 6*r + 2*r.\nAnswer: -674*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38341?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20\/3? (a) -8 (b) -3 (c) 1\/8 (d) -98.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19096.03 milligrams to tonnes.\nAnswer: 0.00001909603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 864 - 102. Let n = d + 127. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (0 - -5 - (3 - -1 - (33 + -5)))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.8114294 nanoseconds in hours?\nAnswer: 0.0000000000021698415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -100 and -31987.\nAnswer: 3198700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 565681 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -1889827?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 57 + -42. Let x be -4 + 1 - b\/(3 + -8). Which is smaller: 1\/6 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2701835*q*s*v**2 - 54397*q*s*v - q - 2*s*v**2 + 2*s*v + 2*s - 51*v wrt v.\nAnswer: -5403670*q*s - 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 76*z + 342. Let a(f) = 582*f. Calculate t(a(i)).\nAnswer: 44232*i + 342","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to 35\/48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12049, -13131, -14213, -15295, -16377, -17459?\nAnswer: -18541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 977 is divided by 324?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7191545 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12\/2)\/(92\/460 - 26\/(-20)). Let d(q) be the third derivative of 0*q + 10\/3*q**3 - 23*q**2 - 1\/6*q**m + 0. What is the derivative of d(i) wrt i?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 AM and 11:02 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2041 - -0.0959. Which is the nearest to 15? (a) 0.2 (b) p (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.008037 to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 289 - 271. What is the remainder when 2*(24 - (-1 - 1)) is divided by r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*c - 3125 = -209. What is the remainder when 317 is divided by c?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -16) + -6 - 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -3 + -8 + 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2 - 1) + 4 - (-3 - -2)) + -279 + 273.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -49*h**2 + 4193*h + 1869. What is b(86)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3.3, -3, 2, -2\/375?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 920714822.\nAnswer: 2, 79, 5827309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 4 = 2*z, 3*x = 3*z - 4 + 1. Suppose 4*t + 7*d - 2*d + 49 = 0, 4*t + 58 = -2*d. Let l = t + 21. Solve -z*f - l = -5*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/9)\/(20\/(-720))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 168827759 and 519.\nAnswer: 506483277","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -21901 >= -591287\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 6*s**2 + 11*s - 11. Let m(j) = j**2 + 2*j - 2. Let a(n) = 4*f(n) - 22*m(n). Let q(w) = -6*w. Give a(q(h)).\nAnswer: 72*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, 244.5, 38121 in decreasing order.\nAnswer: 38121, 244.5, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 89270539\/20 - 4468796. Let f = m + 5275. What is the common denominator of f and 7\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/5 - 35022*o**2 + 700416*o\/5 - 700408\/5.\nAnswer: 2*(o - 87551)*(o - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 56 and 70.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1042399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/6465602 and 35\/23218.\nAnswer: 122846438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7, -3\/7, 0.1, -6\/11, 4, -473?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5224*m**2 + 2*m**3 - 2617*m**2 - 2607*m**2.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3*x**2 - 30*x + 251. What is f(6)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l - 4. Let v be d(-3). Let u be -2*v\/2*3. Solve 5*f = 3*y + 7*f - 7, -u*y + 5 = f for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffffflfll. Give prob of picking 2 f.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23*x**4*z + 12259703*x**3*z + 906*x**2*z - 576760*z wrt x?\nAnswer: 552*x*z + 73558218*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9*(-4)\/(-42))\/(2\/14). Let w be (-100)\/(-12) + -1 - (-2)\/t. Suppose w*d - 6*d = 114. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -23*i**2 - 6*i + 6. Suppose c - 4*z - 10 = 0, 0 = -5*c - 38*z + 37*z + 29. Let f(s) = -s + 1. Give c*f(o) - h(o).\nAnswer: 23*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a week in minutes?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - 11. Let m = 51 + k. Let y = 38.000019 - m. Round y to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2802928 by -1049.\nAnswer: 2672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4510 and 70110?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2203603 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -333\/7 or -47?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 114711 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: Let j(l) = 2*l**2 + 2*l + 1. Let y(u) = -1575*u**2 - 168*u - 84. What is 84*j(b) + y(b)?\nAnswer: -1407*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.0298 (b) 2\/17 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -328*p - 330*p + 657*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (30 - -1)*(0 - -1). Let p = o + -18. Is 11 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 60 = -78. Suppose -127 = -4*s - 3*q, 0 = -5*s + 2*s - 5*q + 109. Let g = s - j. Solve 4*b - 3*d - 4 = 0, 4 + 6 = 5*b - g*d for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -336*n**2 - 6 + 20 - 35*n + 8*n.\nAnswer: -336*n**2 - 27*n + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 46090, 46095, 46110, 46141, 46194?\n\"Answer: k**3 - k**2 + k + 46089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -8450*k**3 + 5632380*k**2 - 938571138*k = 0?\nAnswer: 0, 21663\/65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -100741954 rounded to the nearest one million?\nAnswer: -101000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 5*t**2 + 9*t + 9. Let p(i) = 2*i**2 + 4*i + 4. Let z(a) = -4*f(a) + 9*p(a). Solve z(y) = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6602.07 millennia in centuries?\nAnswer: 66020.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -337*n - 3*q = -341*n + 46590, 0 = 2*n - 5*q - 23316. What is the hundreds digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102200200010012 + -20?\nAnswer: 102200200002222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -188*o - 92 + 1631*o - 80 - 78 + 250.\nAnswer: 1443*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 w, and 1 x when three letters picked without replacement from avwxqqavxxkv?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2 - 1 = 0, 3*f + 7 = q. Is 1*(f - (-1 - 222)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2756133841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.03*-79\nAnswer: -2.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3809257 to the power of 1\/3, to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1046045, 1046044, 1046043, 1046042?\nAnswer: 1046041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 419, 511, 685, 959, 1351, 1879, 2561?\nAnswer: 3415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32*b**3*m**3 - 8*b**3*m**2 + 44*b**3 + 5656*b**2*m - 7*m**3 wrt b?\nAnswer: -192*m**3 - 48*m**2 + 264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that n**2\/6 - 152535*n = 0.\nAnswer: 0, 915210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/20*1615\/1292.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 334e?\nAnswer: 334e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-4\/5))\/(o**(-7\/4)\/o))\/(o**3*o)**23 assuming o is positive.\nAnswer: o**(-1781\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ls when two letters picked without replacement from {i: 1, l: 1, h: 2, f: 1, s: 1, z: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103183941 is divided by 4188.\nAnswer: 4185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -225 + 253. Calculate the remainder when 530 is divided by s.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3240 = 5*v + 10*v + 15*v. Calculate the lowest common multiple of 12 and v.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m*m*m**(2\/7)*m*m)\/m)\/m)**(-5)*((m**(-1\/7)\/m)\/m)\/(m\/m**(-5)) assuming m is positive.\nAnswer: m**(-172\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 2*t - 5*t - 27, 5*t - 4*o + 37 = 0. Sort -3, 2, t in increasing order.\nAnswer: t, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118999 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 times -14?\nAnswer: -9.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffmtmmmfftfftmtmtmt. Give prob of sequence mf.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.13 - 1.9. Let n = 229.3009905 + -229.071. Let j = n - o. Round j to six decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -0.2167\nAnswer: 0.10835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (85\/34)\/((-6)\/(-4)). Let y = -0.18 + 8.18. Let q = y + -7.6. Sort -2\/7, s, q in descending order.\nAnswer: s, q, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*o + o + 0*o)*(-3*o**2 - 2 + 8*o**2 + 3) to the form q*o + d*o**2 + i + j*o**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4081848?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + 6*(-27)\/(-2). Let s be u\/25*(-50)\/(-4). Suppose -6*w + s = -2*w. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 361403722 - -5?\nAnswer: 361403727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 103 = -0*j - 3*j, 2*j + 50 = 2*m. Suppose h - 11 = m. Let x = 27 + h. Is x a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**3 - 8*l**2 + l + 11. Let j(x) = x**3 - 4*x**2 + x + 6. Let u(o) = 5*j(o) - 3*w(o). Determine u(5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -855625*q**5 - 15404950*q**4 + 115442771*q**3 - 184315572*q**2 - 798660*q - 864 = 0.\nAnswer: -24, -2\/925, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-156)\/10 - 4\/10. Let t = -9 - n. Let i = 34 - 23. Calculate the lowest common multiple of i and t.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/504264 and 65\/252132.\nAnswer: 504264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = v + y, 3*v + 5*y = v - 5. Suppose -f = i - 2*i + 8, -3*i + 5*f + 34 = v. Let t(l) = 4*l**3 + 3*l - 5. Is 14 a factor of t(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-120 + 39 - -38) + 35\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -10*p. Let h(f) = 2*f. Let x(v) = -16*v - 21*v + 39*v. Let a(c) = -4*h(c) + 5*x(c). Determine u(a(w)).\nAnswer: -20*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -102 - -336. What are the prime factors of w?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2359944.95 to the nearest 100.\nAnswer: -2359900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -10, 80 in ascending order.\nAnswer: -10, 4, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -4*q. Let s be w(-1). Suppose s*i + l + 2*l = -194, -i - 54 = -2*l. Round i to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 + 22. Let a = q - -199. What is the highest common divisor of a and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -124? (a) 4 (b) -3 (c) 28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156*o = -385*o + 648299. Is 149 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z. Let n be a(-2). Let j(c) = 9*c**2 + 3*c - 5. Let x(s) = -17*s**2 - 5*s + 10. Let t(b) = -11*j(b) - 6*x(b). Is t(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 4*w = 1076, 5*y - y = 3*w - 1437. List the prime factors of y\/14*(-18 - -8 - -3).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.10963 - -0.02963. Which is the nearest to -0.06? (a) o (b) 0.5 (c) 0 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 4. Suppose -2*d - 9 = 7*d. Let m be -4 + d + 999\/185. What is the closest to m in -4, 7, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -11*j**2 + 6*j - 3. Let i(x) = -82*x**2 + 44*x - 22. Let u(m) = -3*i(m) + 22*r(m). Let v(q) = 843*q - 1. Calculate v(u(p)).\nAnswer: 3372*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05713 to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 AM and 6:17 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-2 + (-5 - -3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004895 to 7 decimal places.\nAnswer: -0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + (-6)\/(-54)*-21*(-135)\/105.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -294*j**3 + 8*j**2 + 8*j - 5. Let h(t) = 98*t**3 - 3*t**2 - 3*t + 2. Give -8*h(g) - 3*l(g).\nAnswer: 98*g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/(9\/(1485\/55))\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 89 - 61. Calculate the least common multiple of 2 and y.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 48*w**3\/5 - 40812744*w**2\/5 - 20406381*w\/5 - 2550798\/5.\nAnswer: 3*(w - 850266)*(4*w + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14826 or 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 47707394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51389 - 185146 = -680*u + 6745*u for u.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -4*r**2 + 2*r + 9. Suppose -k - 16 = -3*f, 22 = 2*f + 19*k - 14*k. Let j(t) = -5*t**2 + 3*t + 10. Calculate f*v(w) - 5*j(w).\nAnswer: w**2 - 3*w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4*g = 45, -g = -4*p + 59 + 14. Suppose 5*a - 4*k = p, 2*a - 2*k = 3*k + 11. Is a even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 2106?\nAnswer: 2106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2 + 54\/24)*(-2096)\/(-2).\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 72997 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 = -148?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3256 and 242?\nAnswer: 35816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -103 (base 7) to base 12\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.2 - 0.2. Suppose -210*s + 42 = -224*s. Put 0, r, 3, s in ascending order.\nAnswer: s, 0, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -96*c**2 + 5775*c - 906. What is r(60)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is 40 + (37 - 25 - 24) - -21?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (53\/11)\/(-1) - 18\/99. Which is the second smallest value? (a) w (b) 3\/7 (c) 2\/17 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 497760 divided by 6222\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q**2 - 2*q + 2*q + (-3 + 5 - 1)*(-2*q**2 - q**2 + 0*q**2) - 247*q + 120*q - 1006*q**2 + 127*q.\nAnswer: -1012*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 23718651637 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3269*p + 1640*p + 1630*p + 16 = -4*j, 0 = 5*j + 5*p + 5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2587 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 7157 + 4318. Let w = z - -7116. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 24 - 2 = 0. What is the greatest common factor of a and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a microgram in nanograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 598245797 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 - 8. Suppose 2*o = -3*j - 27, 0 = -o + 4*j + 1 + 2. Let n = o + c. Is 3 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 + 9*u - 16. Suppose 0 = 758*h - 757*h + 10. Give v(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(-7)*s))**(-35)*s**(-1\/19)\/(s\/s**(-19)) assuming s is positive.\nAnswer: s**(-5036\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**2 - 19 + 13*n**2 - 105 + 4*n**2 + 124.\nAnswer: 19*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - -1) + (-2 - -1). Let v(h) = -16*h - 3. Let r(p) = 33*p + 6. Let t(k) = -4*r(k) - 7*v(k). Is t(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 18924*f**3 + 9450?\nAnswer: 56772*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 3*w. Let i be b(-2). Let p = 1 - i. Is p a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 53*h - 627. Let f be m(12). Suppose 0 = x - 2*x + 2. Solve 5*g = -5*c - 21 - f, x*c = -10 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 32 = -4*a - 4*r, 3*a + 5*r = 30. Suppose 0 = 3*i + a*h + 4, 3*i + 2*h - 11 = -0*i. Solve 5*p + 5*g = -10, 9 = -2*p - i*g + 4*g for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109 is divided by 57?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -56*p + 7. Let b(s) = -39*s + 5. Let u(m) = -7*b(m) + 5*q(m). Let o(w) = -6*w**2. Determine o(u(z)).\nAnswer: -294*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3608\/((-165)\/15)*-3*1. Suppose 4*h - l = -3*a + 2418, -3*h + 4*a = -2564. What is the hundreds digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -109, -98, -87, -76, -65, -54?\n\"Answer: 11*u - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of 0 + 0*p + 13\/60*p**5 - 7\/12*p**4 + 2*p**2 + 0*p**3. What is the second derivative of d(i) wrt i?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 57 - 17. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -228 + 4334\/19. What is the closest to -12 in -2, g, -3\/2, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w. Let s(j) = -5*j + 13. Let g(i) = -9*i + 25. Let n(c) = -3*g(c) + 5*s(c). Let u be n(6). Let z(l) = 9 + 0*l**u - 9 - l**2. Determine z(d(o)).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*b**4 - b**4 - 2*b**4 + 380*b + (-2 + 2 + 2)*(-4 - 2*b**4 + 4) + 2*b**4 - b**4 - 6*b**4.\nAnswer: -3*b**4 + 380*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -514088 divided by -2\nAnswer: 257044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of -v**5\/15 + 157*v**4\/24 - 95*v**3\/3 - 2*v**2 + 22*v + 40. Solve p(m) = 0.\nAnswer: 5\/4, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of 1301*i**6\/40 + i**5\/15 + 7*i**4\/24 - 25*i**3\/6 + 3785*i**2. Find the third derivative of m(s) wrt s.\nAnswer: 23418","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 4:46 PM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 7, k: 7}. Give prob of sequence kss.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*n = -7*n - 120 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -303*c = -67 - 236 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2002920077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 4 - (4 - (10 + -1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1497690 and -352.25?\nAnswer: 1498042.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 2) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 1 - (7 + (-8 - -6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244*b + 4*f + 4 = -240*b, 5*f = 20 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 8*o + 3*o = 0, 3*o + 6 = 0. Suppose c*j + 3*j + 2*l = 629, -l = 3*j - 378. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - 19) + -22 - -34?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 70 or 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of -3\/2*x**2 + 1\/5*x**5 + 0*x**3 + 4*x + 0*x**4 + 0. What is the derivative of b(y) wrt y?\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 3*r - 32 = 5*s, 2*r + 5*s = 13. Solve r = 3*d + o, -6*o + o - 19 = -d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 3*z - 67. Let j be f(21). Let a(q) = 3*q - q**3 - 5*q - 8*q - q - 10 + 2*q**2. Is a(j) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 15\/4 of a tonne?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12 + 270?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0074095 rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/5 + (-1)\/3. Let m = x - 23\/15. Suppose -2*v - 2 = 5*t - 0*t, 0 = 2*t + 3*v - 8. Which is bigger: t or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 459040183?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 121 - 365\/3. Which is the third smallest value? (a) g (b) 13 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 + 4*l - 2. Calculate a(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12469 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 118 and 40.\nAnswer: 2360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -845, -1119, -1643, -2471, -3657?\nAnswer: -5255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 14.8?\nAnswer: 2.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/92754 and 119\/35424?\nAnswer: 182539872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1964868, -1964872, -1964876, -1964880?\n\"Answer: -4*k - 1964864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 66766051 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 411220 is divided by 412.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(456)\/(sqrt(24)\/sqrt(3)) - sqrt(57) - 2*sqrt(2052))\/(2*sqrt(132)\/sqrt(11)).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36\/809 + -41797\/24270. Let o be (-5)\/(-4)*(48\/18 + -4). Let v = o - l. Which is the second smallest value? (a) v (b) -0.5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 3:32 AM?\nAnswer: 5:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.528662427 and -3.\nAnswer: -1.471337573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 5*z - 4*s - 235, 2*z = 3*s + 70. Calculate the remainder when (-2)\/(-10) - (-1813)\/z is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**2 + 231*q - 2029. Give v(100).\nAnswer: 1071","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + 21*w**2 + 41*w + 23. Let y be s(17). Suppose y = 13*i + i. Is 19 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*n - 420 = 54*n for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5275738 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 34 and -1063946?\nAnswer: -36174164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -30 (b) 0.25 (c) -28651\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 10, -1 = -3*o + u + 12. Suppose -5*x + 2*w - 83 = 0, o*w - 20 = w. Let q = 39 + x. Is 6 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15754049?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2201020201 (base 3) to base 8.\nAnswer: -150226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (107 - 48 - 2*l - 54)*(-10 + 0 + 1).\nAnswer: 18*l - 45","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 37543561 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 5*q**2 - 9*q - 10. Let i(h) = -h**2 + 2*h + 2. Suppose -1320*b = -1359*b + 78. What is b*k(n) + 11*i(n)?\nAnswer: -n**2 + 4*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -443 + 2217?\nAnswer: 1664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -35*u**3 - 4*u**2 - 2*u + 1. Let d be a(-1). Let t be (-1 - 0)*6*-10. Let z = t - d. List the prime factors of z.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -2\/3*k**3 - 2\/3*k**5 + 0 + 4\/3*k + 2*k**2 - 2*k**4 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100101101011001000010 - 100?\nAnswer: 10100101101011000111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6 and 19.\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -39, -85, -137, -189?\nAnswer: -235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.3 (b) 9 (c) 0.2 (d) 8\/3 (e) 0 (f) 2 (g) -2019\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -4*u. Solve -2*a + u = -2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide (-1708)\/(-294)*35 + 8\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -163475.\nAnswer: 490425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 15) in base 13?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3690488 a multiple of 287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a + 2. Let x be y(-5). Let s(u) = -15*u - 3. Let f be s(-6). Let v = f - 95. Is v not equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27 or 1437?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**2\/4 - 106793*q\/2 - 11404744849\/4 = 0. Calculate q.\nAnswer: -106793","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2027893, 76 in ascending order.\nAnswer: -2027893, 3, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 10. Let m be 18 + ((-2)\/b - (-12)\/3). What is the second derivative of 62*t**4 - 32*t**4 - 30*t**4 - 17*t + m*t**5 wrt t?\nAnswer: 420*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 678716.7 to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 80 = 4*x, -3*r + 2*x - 70 = 2*r. What is the tens digit of 51*(-2 + (-40)\/r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 224, 379, 538, 701?\nAnswer: 868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -301001 (base 4) to base 7.\nAnswer: -12101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 7*y**2 + 10*y + 26. Let a be (2\/(-3))\/(-6 - (-1024)\/168). Let d be h(a). Do -44 and d have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 0.5. Let u(g) = -1022*g**2 - 3*g - 1. Let k be u(-1). Let a be (-6)\/16 + k\/(-1440). Put a, x, -3, 2 in descending order.\nAnswer: 2, x, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/(-6)*58\/3 + 1. What is the greatest common factor of i and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**4 + h**4 + 0*h**4 - 32*h**4 + 192 - 192 + (2*h - h + h)*(h**3 - 1 + 1) to the form i*h + c*h**4 + u + g*h**3 + n*h**2 and give c.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5432868 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 AM and 11:45 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 5, -11 = u - 5*g + 2*g. Sort 3, -10, 11, u in ascending order.\nAnswer: -10, 3, u, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x = -473 + 1203. Let v = x - 69. Solve -3*s = 4*a + 4, v*s = -2*a - 3 - 9 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 771.614 nanograms?\nAnswer: 0.000000000771614","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 - -2) + 6\/1. Let f = r + -1. Factor -10*a**4 - 2*a**4 - 7*a**5 + 2*a**3 - 4*a**f + 3*a**4.\nAnswer: -a**3*(a + 1)*(7*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 3 + (-2 - 5).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1036*b - 1036*b + 123*b**2.\nAnswer: 123*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -15539 (base 11) to base 6\nAnswer: -245331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*p**2 + 9*p**3 - 2*p - 1 - 2*p**4 + 0*p**2 + 2*p**2 - 10*p**3 in the form u*p**3 + w*p**4 + i*p**2 + d*p + l and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 5*b - 27 = -118, 0 = -l + 4*b + 31. Let q = 11 - l. Let n(f) = 4*f + 1. Let o(y) = 11*y + 2. Calculate q*n(z) + 3*o(z).\nAnswer: z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 4*o - 4. Suppose 5*d + 3*c = 71 - 5, 0 = -5*c + 10. Suppose x = -x - d. Let g be ((-2)\/x + 2)\/(3\/9). Let b(a) = -3*a + 3. What is g*b(r) + 5*q(r)?\nAnswer: -r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 11:53 PM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -11.5. Let n = -304741\/63 + 41764\/9. Let c = n + 197. What is the biggest value in k, c, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 AM and 9:55 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 q when three letters picked without replacement from ryoqoqqzzoqr.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.76? (a) 1\/4 (b) 473 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 105829329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6863137232?\nAnswer: 2, 7, 139, 440849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2227.8689 rounded to the nearest ten?\nAnswer: -2230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -377*x + 4. Let b(n) = -942*n + 10. Give 5*b(k) - 12*z(k).\nAnswer: -186*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f - 9. Suppose -5*g = 5*j - 30, -g + 2 = -j - 0. Let h be q(g). Let p be 30 + (0\/1)\/5. What is the greatest common divisor of p and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40 - 39.06. What is z rounded to one dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 133 = -3*m, -t = 2*m - 3*m - 68. Is t a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -27 - 43*m + 3*m + 27. Let g(s) = -39*s**2 - s. Calculate p(g(w)).\nAnswer: 1560*w**2 + 40*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 20 in ascending order.\nAnswer: -1, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -64 + 65. Suppose -i - 4*z = -d, 7*z = 2*z. Solve -i - 11 = 3*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9110760 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1913 is divided by 82?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.08599191 or 7\/6?\nAnswer: 0.08599191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of -7*q**3\/3 - 3*q + 11. What is the first derivative of y(d) wrt d?\nAnswer: -14*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 6, -0.4, -0.038?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*q - 0*q, 4*c + 22 = -5*q. Let j be 1\/(-2 + 52\/24). Suppose 3*f = j*o - 3*o + 24, 3*o + f + 12 = 0. Put 3, o, c in ascending order.\nAnswer: o, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 9:39 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2 + 50352*f + 1160212.\nAnswer: -4*(f - 12611)*(f + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.008681484495 rounded to 5 decimal places?\nAnswer: -0.00868","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -164*b**3 - 8*b**2*r**3 - 2*r**3 + 1196*r wrt b?\nAnswer: -492*b**2 - 16*b*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11156*a*n**4 - 23*a*n**2 + 2*a*n - n**2 + 80 wrt n?\nAnswer: 267744*a*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 6*b**2 - 2*b + 8. Let m be s(6). Let i = -9 - -7. Let w be (i\/(-12))\/(3\/(-9)). What is the third biggest value in w, m, -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1377)*4 - sqrt(102)\/sqrt(6)*-1.\nAnswer: 37*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2142, 2097, 2044, 1989, 1938, 1897?\nAnswer: 1872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of -p**5\/20 - p**4\/4 - p**3\/2 + 14*p**2. Factor r(x).\nAnswer: -3*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*h = 51*h - 336. Which is the nearest to 0? (a) -2 (b) h (c) 1\/8 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -9*h. Suppose h = -5*o + 3*o. Solve -8 = -o*j + 4*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -59605*g - 953645. What is u(-16)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111001111 + -1000001000000111010000?\nAnswer: -1000001000000000000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 4:08 PM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/60 and 43\/412260.\nAnswer: 412260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 76 - 14a?\nAnswer: -a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 195055.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/4 - 528626*j**2 - 1117788134989*j\/4 - 3353326344003\/2.\nAnswer: -(j + 6)*(j + 1057249)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 152145 and 230?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 3 + (0 + 1 - 3)*(1 - 3 + 1) + 5 + 3 - 6)*(3*v**4 + 1 - 1)*(26 - 7*v - 26).\nAnswer: -189*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 23588 times -27?\nAnswer: -636876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -2.1. Let k = 56.8 - 4.8. Let v = 51.98 - k. Is g greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u**2 - 44*u - 232. Let r(t) = 4*t**2 + 45*t + 226. Let o(b) = 2*r(b) + 3*v(b). Give o(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 1519 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 AM and 10:24 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -331*j - 702*j + 207*j.\nAnswer: -826*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p**2 - 3*p + 1. Let v be b(1). Is v != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2571?\nAnswer: 3, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19206 by 16823.\nAnswer: 19206\/16823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 116*j + 6. Let b(l) = -131*l - 7. Let w(k) = -8*b(k) - 9*z(k). Let d(p) = -p + 1. Give -6*d(g) + 3*w(g).\nAnswer: 18*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 587542700 divided by -2?\nAnswer: -293771350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 4, -7939, 3 in increasing order.\nAnswer: -7939, 2\/11, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -1667330892*h**5 - 28331232948*h**4 + 650486679696*h**3 - 5223573760*h**2 + 13984384*h - 12480 = 0.\nAnswer: -30, 2\/747, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 190c31 - -1d?\nAnswer: 190c4e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h + 12*h + 2*h)*(4*h**2 - 3*h**2 + h**2 + (8*h + 5*h - 6*h)*(4 - 4 + h)).\nAnswer: 90*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3 + 7076*q**2 - 8*q - 28304.\nAnswer: 2*(q - 2)*(q + 2)*(q + 3538)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 6. Let t = -7 + 7.5. Let g be ((-10)\/(-35))\/((-4)\/(-7)). Which is the nearest to g? (a) t (b) 4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -7. Let r be ((-1)\/w)\/(4\/(-6)). Let b = -4.9 - -4.8. What is the nearest to r in b, -6, -5\/2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 560.485g to milligrams.\nAnswer: 560485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (0 - 3) - (80 + -20 + 9 + -12)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}