diff --git "a/data/dm_maths/full_data_1/11216_11255.jsonl" "b/data/dm_maths/full_data_1/11216_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/11216_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let a(q) be the first derivative of 3*q**5\/20 - 9*q**4\/8 - 99*q**3\/4 + 243*q**2\/2 + 2187*q - 311. Factor a(m).\nAnswer: 3*(m - 9)**2*(m + 6)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 12:21 PM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100 (base 3) to base 15.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -9*m**2 - 24838*m - 49674. Determine c(-2).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of p**8\/336 - 8*p**7\/105 + p**5\/15 - 43*p**4\/6 + p**3\/3 + 1624*p**2 + p + 2. What is the second derivative of z(v) wrt v?\nAnswer: 20*v**3 - 192*v**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 38*s + 3. Let b(g) = -2*g**3 - 32*g**2 - 98*g + 6. Calculate the remainder when t(3) is divided by b(-12).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -3. Let c(x) = x**3 - 5*x**2 + 5*x - 1. Let q be c(4). Find r such that 9\/4*r**g - q*r + 1 = 0.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -167666870 to the nearest one hundred thousand.\nAnswer: -167700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3 - 1000*b**2 - 2004*b.\nAnswer: b*(b - 1002)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = 15*c + 85 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 + -7. Suppose -12*u + h*u - 10 = 0. What is the remainder when 15 is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 8875 and 2.4?\nAnswer: 8872.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -30*u**2 + 81*u - 9. Let o(p) = 3*p + 1. Let v be o(-1). Let s(i) = -3*i**2 + 8*i - 1. Let l(j) = v*a(j) + 21*s(j). Suppose l(f) = 0. Calculate f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/17, 0.17, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) + sqrt(171) + sqrt(171)*-3*-6)*-3)\/(4*sqrt(225)*-3).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-5)*o**(-5))\/(o**(2\/3)\/o**(-7))*(o*o**7)\/(o\/(o\/o**(-2)))*o**(1\/7)*(o*o**(-3\/2))\/o assuming o is positive.\nAnswer: o**(-379\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-2)\/(-13))\/((-23)\/(-299)) - -1 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 31664546 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j + 6, 0 = -2*x - 2*j - 0 - 6 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -5*t**2 + 9*t - 4. Let q(k) = -9*k**2 + 17*k - 7. Let u(z) = 11*c(z) - 6*q(z). Let n = 13 + -1. Suppose 3*r = -r - n. Determine u(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/9 - 164*j\/3 + 5120\/9.\nAnswer: -2*(j - 10)*(j + 256)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 167\/914790 and -61\/3245.\nAnswer: 593698710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -272903 and -0.2.\nAnswer: -272903.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 337*p**5 + 272*p - 2 wrt p?\nAnswer: 6740*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**8*o\/o**(-9)*o*(o*o**0)**46 assuming o is positive.\nAnswer: o**65","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -2*p. Let s be ((-9)\/(-12))\/3*4. Let v be p + -3 + 8*s. Solve -5*r + 0*r + 40 = v*d, 22 = -r + 5*d for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 624 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 + 1. Let t(f) be the first derivative of 10*f**3\/3 + 9*f + 4. Let m(v) = t(v) - 5*y(v). What is the first derivative of m(j) wrt j?\nAnswer: 10*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4*1*(-1 + -4). Let d be 115\/s + 3\/(-4). Suppose -240 = -d*n + 3*n. Calculate the highest common factor of n and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 1\/249, 2, 5?\nAnswer: 1\/249","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7494719583?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -20 - 5 + 4 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 19 - 23. Let i be g - (-3 + (3 - 3)). Let t(w) = 0*w**3 + 2*w + i - 3*w**2 - w**3 - 5 - 1. Determine t(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.5 * 0.3\nAnswer: 0.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.5, -4663, -2, -26?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 7*l**2 - 10*l + 26. Let w be r(6). Suppose 0 = -w*p - 5*p + 140. Solve -d - 3*d + p = -5*k, k - d = -4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 AM and 5:19 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 10319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -65872648*v**3 - 116349379*v wrt v?\nAnswer: -395235888*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 - (-7 - 39) - 27 - (-1 + -90).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5430176599\/6397 - -848863. Let b = -876893\/268674 + c. Let u = -31453\/16 + 1965. Calculate the common denominator of u and b.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqg when three letters picked without replacement from {w: 5, g: 3, q: 8, d: 2, o: 1}.\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express x + 29*x**2 - x in the form n*x + i + b*x**2 and give b.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/4)\/((-3)\/(-618)). Let x be 6\/(-8) + a\/(-4). Suppose -x = -3*j - 2*j. Solve 4*f + 3 = -j for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 16*i**2 - 6*i - 18. List the prime factors of y(-4).\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -7\/5, -2.8, 17, -3, 0.1, 0.3?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dgkkd. Give prob of picking 1 k and 1 d.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 112182891?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -140 + 98. Let a = 42 + o. Suppose 5*x = -l - 0*x + 16, a = 5*l + 4*x - 164. Does 21 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66\/217 less than 812?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 - 9*n**2 - 74 + 11*n**2 in the form d*n + p*n**2 + y and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p**4 + 765*p**3 - 31735*p**2 + 194715*p - 318780 = 0. Calculate p.\nAnswer: 3, 4, 69, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of -x**4\/4 - 5*x**3 - 75*x**2\/2 + 6*x. Factor c(q).\nAnswer: -3*(q + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -12 + 17 + 2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) 1\/5 (b) -2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) -3.2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-1\/5)*f*f)**2*f*f**0*f\/((f\/((f\/f**(-1\/12))\/f*f))\/f) assuming f is positive.\nAnswer: f**(521\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*y + 418*y + 17910 = 0 for y.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n - 2*n**2 + 107*n**3 + 6*n - 2*n + 0*n - 2*n.\nAnswer: 107*n**3 - 2*n**2 + 6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1316 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -329360*p*t**3 - 396522*t**3 wrt p.\nAnswer: -329360*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 50918 + 0*v - 50927 + 3*v. Let l(p) = 5*p. Calculate l(z(a)).\nAnswer: 15*a - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8346 and 17394?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6574, 13147, 19720, 26293?\n\"Answer: 6573*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 161 + -177. Let o be b\/(-5) + 40\/(-200). Calculate the greatest common divisor of o and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -1603*m + 3. Let y(p) = -2*p**2 + 31*p + 7. What is i(y(g))?\nAnswer: 3206*g**2 - 49693*g - 11218","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -3*v - 62. Give j(-19).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -4*k + 14, 2*c + 4 = -2*k + 4*k. Suppose 0 = -z - 5*n + 19, n - 3*n = c*z - 14. Solve -z*t = -3*p - 8, -5*t + 4 = -t - 4*p for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h*h*h\/((h\/h**0)\/h)*h)\/h)\/h)**8)**(2\/57) assuming h is positive.\nAnswer: h**(32\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s*(s*s*s**1*s)\/s)\/s)\/s*s)\/(s*(s\/s**(1\/2))\/s))**7*(s**6*s*(s*s*s**7)\/s)\/(s**(-1\/3)*s**4) assuming s is positive.\nAnswer: s**(173\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5102\/(-12755)*10\/2*2\/(-6).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1868448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -6 + (5 - -1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 - 20. Suppose 406*p + 300*p + 2881 = -649. Which is the closest to -0.02? (a) q (b) -0.2 (c) -3 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -97, -216, -383, -598, -861?\nAnswer: -1172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1154941*t**4 + 2*t**3 - 2*t + 108954 wrt t.\nAnswer: -13859292*t**2 + 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -471, -467, -463, -459?\n\"Answer: 4*m - 475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(280)\/(1*sqrt(252)))\/(sqrt(80)\/(sqrt(250) - -2*sqrt(250) - sqrt(250)))*-3.\nAnswer: -5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -2. Let g(n) = 142*n - 2 + 5*n**2 - 58*n - 72*n + 5. Let c(r) = -r**2 + r + 1. Let v(l) = j*c(l) - g(l). Find the second derivative of v(u) wrt u.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15586208*p**3 - 29058751*p**2?\nAnswer: -93517248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 7, h: 6}. Give prob of picking 2 h.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-104)\/(-12)*219 - 6. Let x = 3207 - o. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106381 is divided by 264?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 0.3, 5, -4\/7, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c = -5*c - 291. What are the prime factors of c?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24520, 4, 3, -3, 93 in decreasing order.\nAnswer: 24520, 93, 4, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89.47291ug to grams.\nAnswer: 0.00008947291","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -8*(-2)\/56 + (-13962)\/14. Let d be 3 + (-5)\/(5\/y). Suppose -7*k = -5*k + d. What is k rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44152 = -72*o - 11536. Calculate the remainder when o is divided by 112.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 227*u - 9. Let a(x) = -681*x + 25. Give 3*a(k) + 8*n(k).\nAnswer: -227*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by 11751\nAnswer: 5\/3917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 56 in 2\/3, 770, -4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 6*g**2. Let o(l) = -l**2 - 61*l. Calculate o(d(z)).\nAnswer: -36*z**4 - 366*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuzyonwuwwn. What is prob of sequence nyo?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.103*-2212.4.\nAnswer: -227.8772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 821691.\nAnswer: 3, 13, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 766902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of -u**6\/24 + 22*u**5\/15 + 89*u**4\/24 + 933*u**2 + 1. What is the second derivative of j(a) wrt a?\nAnswer: -30*a + 176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -58*r + 87. Let i(o) = 1. What is -87*i(s) + w(s)?\nAnswer: -58*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 1, 7097, 157, -5, 0.\nAnswer: -15, -5, 0, 1, 157, 7097","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 6) to base 15\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (37\/(-296))\/(6\/(-32))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 4:00 PM?\nAnswer: 3:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -1. Let k(j) = -2*j + 4. Let m = 13 + -11. Let i be 1*m\/(-6)*3. Calculate i*k(w) - 3*y(w).\nAnswer: 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 153 and 816?\nAnswer: 2448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 140*i + 6. Let r be x(0). Let v(p) = p**3 - 4*p**2 + 6*p - 5. Determine v(r).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 253 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(3) - (sqrt(6)\/sqrt(2) + 2)))**2 - (-2 + (sqrt(192)*3)**2).\nAnswer: -1662","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a milligram in micrograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*q = -3*d - 31*q - 21, 19 = -2*d + 3*q for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and 10351153231608.\nAnswer: 10351153231607.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*z + 70*z - 351 = 0 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 11*q - z, 29 = -5*q + 3*z + 27 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, r: 2, l: 1, k: 1}. Give prob of picking 1 r and 1 l.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-324972)\/3927 - -84) + 4\/22?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1270?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 9*k - 492. Let r(u) = 1 + 2 - 4 - k*u. Is 20 a factor of r(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**3 - 16*p**2 + 15*p + 11. Calculate the remainder when h(7) is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 AM and 1:44 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.55*0.019.\nAnswer: 0.01045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 981894 and 651?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-9)*(-45)\/(-6))\/(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 471\/7880?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - 12*p**2 - 14*p + 1. Let w be u(-10). Let z = 13 - w. What is the remainder when z is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 437 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 0.07002?\nAnswer: -0.007002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35159 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mwgf when four letters picked without replacement from wywcfmgg.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (32 + -2)*8979\/205?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - w**2 + w - 77. Let p be k(0). Let s = 0 - p. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*v - 75435 = 647*v + 431*v - 200*v for v.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -402 from 5.\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 1) + -5 - 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 99\/99*(0 - ((-2)\/19 - 31947\/(-437))).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 432 and 2412.\nAnswer: 28944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 662269, 662284, 662315, 662368, 662449?\n\"Answer: f**3 + 2*f**2 + 2*f + 662264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37 - 34. Suppose 0 = u*n + 4*n + 28. Put n, 5, 2 in increasing order.\nAnswer: n, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-9)\/(-24)*40\/90)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ereereegrereee. What is prob of picking 1 e and 3 r?\nAnswer: 36\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**3\/3 + 506*j**2\/3 - 1018*j\/3 + 170 = 0. Calculate j.\nAnswer: -255, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 + 69\/5. Let b = -0.12 + -0.38. Let c = 0.1 - 0. What is the third biggest value in w, b, c?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 3*a + 1666 = 0, 0 = -3*f - 2*f + 4*a + 1652. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 22*c - 18*c. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 82362?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 885.28.\nAnswer: 882.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1340280 to the power of 1\/3, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 2 - 3 - 32*r to d + u*r and give u.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of 5*d**8\/56 - 11*d**4\/12 + 7*d. Find the third derivative of u(b) wrt b.\nAnswer: 600*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 186246493.\nAnswer: 19, 37, 264931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 + -23. Let s(d) = d**2 + 8*d + 7. Let p be s(x). Do -5\/6 and p have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 1994.5, 36\/5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 11:23 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 2)*(-2 - 3). Let v be ((-2)\/(-6))\/(1\/(-3)). Let r = v - 0. Put 2, u, r in decreasing order.\nAnswer: u, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 5:03 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3183678 and 8667.\nAnswer: 9551034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 27d648 (base 14) in base 16?\nAnswer: 151460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(275)*4 + (sqrt(99) + 4*sqrt(99) + sqrt(99))\/sqrt(9).\nAnswer: 26*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 22 - 16 = -4*g, 86 = 4*m - 2*g. Let r be 2\/8 + m\/(-4). Let i(t) = -3*t - 2. Let l be i(r). Solve -4*s = 3*k - 0*k + l, s - 14 = 5*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**3 - d**3 - d**3)*(2*d**2 + 5 - 5) - 3*d - 17375 + 17375 + 2*d**5.\nAnswer: -4*d**5 - 3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(2\/23)*j*(j**(-11)\/j)\/j*j**(2\/7)\/(j*j\/j**(-4\/13)) assuming j is positive.\nAnswer: j**(-29166\/2093)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 4*m - 40 = 66, -3*v - 2*m + 62 = 0. Suppose -v*x - 24 = -22*x. Suppose 10*j = x*j + 156. Is 10 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 12:31 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.61*-270.\nAnswer: -434.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (49078\/143 - 2) + (-2)\/(-11). Let r = -599 - -940. Let o = w - r. Which is smaller: o or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 28, 104, 228, 400, 620, 888?\n\"Answer: 24*p**2 + 4*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t**2 + 17*t - 5. Let p be l(-9). Sort 3, p, -1, -3.\nAnswer: -3, -1, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.33 (b) 199 (c) -2.729\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 0.1, 7, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-639)\/4 - (-15)\/(-60). Let c = -43 - i. List the prime factors of c.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3*q + 2*r = 50, -2*r - 6 = 0. Let s = 58 - q. Solve -3*w - 4 = 2*w + s*b, b + 2 = -4*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -0.4, 2\/11, -0.2 in descending order.\nAnswer: 2\/11, -0.2, -0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 31410 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i**3 + 14*i**2 - 2*i - 4. Suppose 325 - 241 = -12*a. What is o(a)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 12 - 4*z**3 - 4*z + 3*z + 3*z**3 - z**2. Let c = 25 - 35. Let a(o) = -o**2 - 9*o + 10. Let n be a(c). Give t(n).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165*x = -2365 + 220. Solve 38*h - 25*h = -x for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3, 2, -126\/11, 6\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in eleven halves of a milligram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -65 in 1, -0.2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -17*j - 92. Let x be p(-8). Let v = 98 - x. Does 5 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 + 4*m - 1. Suppose 4*r = a + 15, 4*a - 3 = 3*r + 2. Give j(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 164 in 38, 0.4, 2\/221, -2?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*y + 7*y - 5*y to the form w + t*y and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 3 = -g, -4*i + 4*g + 2140 = 0. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oot when three letters picked without replacement from {o: 5, t: 10, n: 1, g: 1}?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 81 = 3*q. What is the smallest common multiple of q and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3612 (base 11) to base 12\nAnswer: -28a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 14*h + 3. Let l be d(3). Suppose -1930 - 1040 = -330*r. What is the highest common factor of r and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + 87*o**2 - 1388*o + 116. What is y(66)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 4*a + 559, 2*a - a = 5*c - 579. Is 15 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18637 * 321.77.\nAnswer: 5996827.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 7 + -36 + 24?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -75 - -186. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of -s**6\/60 - s**5\/20 - s**4\/6 - s**3\/3 + s**2. Let g = -9 - -6. Is u(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -36\/7*i**2 - 192\/7 - 3\/7*i**3 - 144\/7*i = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 510*r + 175. Let v(s) = -47*s - 16. Let p(g) = 6*m(g) + 65*v(g). Determine p(-6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(425) - 2*(sqrt(17) + -3).\nAnswer: -7*sqrt(17) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-12) - (-34)\/6. Let p(s) = -s**3 + 8*s**2 + 2*s - 3. What are the prime factors of p(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 4*p**3 - 5*p**2 + 41*p + 125. Determine o(-3).\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - (-5 + 2)) + 10. Let h be (-14)\/49 - (-32)\/c. Suppose -h*t = s - 87, -5*t - 6*s = -s - 205. What are the prime factors of t?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 3*h**3 - 10*h**2 - 3*h + 9. Let u(z) = z**3 - z + 12*z**2 - 17*z**2 + 4 - 2 + 2. Let m(n) = 2*i(n) - 5*u(n). Calculate m(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5240 by 40.\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.041*-83.4\nAnswer: -3.4194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 + d + 4. What is the units digit of q(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -14*t. Suppose -k - 4*k + 4*u = -28, 4*k + 4*u - 8 = 0. Suppose i + i = -3*l + 40, 10 = l + k*i. What is the least common multiple of l and q(-1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((144\/210)\/(-3))\/(14\/105))\/(297\/(-1386))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q**3 + 12*q**3 - 8*q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (15*m**2 + 40*m**2 - 28*m**2)*(11 - 4 - 3)*(-2 + 2 - 2*m)*(2 + 1 - 1) in the form q*m + o*m**2 + y*m**3 + u and give y.\nAnswer: -432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-3)*2\/3. Let m be 2\/(1\/(2\/16)). Which is the closest to k? (a) -1 (b) m (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*i + 2*i**2 + 49*i - i**3 + (-4 + 4 - i**2 + (1 + 1 - 4)*(87*i**2 - 46*i**2 - 72*i**2))*(5*i - 2*i - 2*i) as s*i + f*i**2 + b*i**3 + j and give b.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 4*f = 28036, -13*f - 157 = -m + 5377. Is m a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1696*j**5 - 4*j**3 - 3*j**2 - 6*j - 51 wrt j?\nAnswer: 101760*j**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of -a**7\/7 + 173*a**6\/15 - 11*a**5 - 115*a**4\/3 + 113*a**3\/3 + 57*a**2 - 9*a - 146. Determine f, given that j(f) = 0.\nAnswer: -1, -1\/3, 1, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 3. List the prime factors of -1 + n + 0 + 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (11\/(-2))\/(-3 - 715\/(-240)). Let l be (b\/294*7)\/((-6)\/(-7)). Let s be (-55)\/75 + 4\/10. What is the second smallest value in s, 1\/5, l?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 440, 772, 1102, 1430, 1756, 2080?\nAnswer: 2402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 115 + -79. Let a be 35\/f + (-21)\/28. Factor -8\/9 + 10\/9*h - a*h**2.\nAnswer: -2*(h - 4)*(h - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -7*4\/(-70)*20*1. Suppose w*o = -o - 1161. Let c = -97 - o. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 5812567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b - 1. Let t(l) = -6*l**2 - 7*l + 8. Let i(k) = 5*k**2 + 7*k - 7. Let r(g) = -5*i(g) - 4*t(g). Let s be r(-7). Give a(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1407 + -21)\/(-21) - -29?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 3*p - 15. Let q be 0\/2 + 0 + 8. Let f be x(q). Let h = f - 2. Solve 0 = 3*r - 3*a - a + 6, -h = -5*r + a for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -262473 from -4.\nAnswer: 262469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -22*r**3 + 82*r**2 + 18*r - 5. What is the ten thousands digit of k(-13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 + 9*k + 5. Let h be l(-8). Let p = -1558\/13 - -120. Which is the nearest to h? (a) 0 (b) p (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -414882*k**3 + 6655*k**2 + 11 wrt k.\nAnswer: -2489292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0055668 months in millennia?\nAnswer: 0.0000004639","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w - 7. Let x = -7251 - -11613. Let d(i) = 2182 - x + 2181. Calculate 28*d(p) + 4*y(p).\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -23, -59, -129, -251, -443, -723, -1109, -1619?\n\"Answer: -3*y**3 + y**2 - 18*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4484172430 to the power of 1\/2, to the nearest integer?\nAnswer: 66964","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.4 at least 0.13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 10*w**2 - 13*w - 1. Suppose -15*s + 14*s - 10 = 0. Let c = s + -1. Is d(c) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from nnaa?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 217964 and 261.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.87 - 1.683.\nAnswer: -3.553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 217513600\/483 + -450339. Let a = 10\/69 - i. Are a and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 17*p + 1846. Let k(w) = 36*w + 3659. What is -13*b(m) + 6*k(m)?\nAnswer: -5*m - 2044","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -26938200 to the nearest one million.\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 5*h + 9*h + 4 - 13*h. Give u(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 36 (b) 1 (c) 0.053\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -220*v - 387. Let j be d(-4). Suppose 3*s - 100 = m, -3*m - 2*m + 44 = s. What is the greatest common divisor of j and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -9 (b) -2\/3 (c) 0.4 (d) -0.4 (e) -2 (f) 8 (g) 6225\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 - 46*h + 368. Let s be z(-53). Which is the fourth smallest value? (a) 335 (b) -5 (c) -1 (d) 3 (e) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/20 and -13\/680.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnbb when four letters picked without replacement from {n: 6, b: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -52264 or -52265?\nAnswer: -52264","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 + 13*r + 613. Let c be q(32). Solve 6*o = -4*a + 3*o - 16, c*o = 5*a + 20 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84654.33362 rounded to the nearest one hundred?\nAnswer: 84700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 141*h + 116. Is x(13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2. Let a(z) = -z - 1. Let r = 4 - 6. Let b(w) = r*a(w) - g(w). Let p(n) = -7*n. Give p(b(u)).\nAnswer: -14*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 118*b**2 + 12*b + 10. Let a be s(-5). What is a rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 1:36 PM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 168940 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 963412483?\nAnswer: 11, 87582953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 13040?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 11. Let r(t) be the first derivative of 2*t**2 - 6*t - 21653. Calculate r(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5591 + -5586. Solve -10*c = -6*c - 5*a + 25, 2*c - a + t = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260653227 is divided by 969?\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z*z**(-5\/6))*z)**(30\/13) assuming z is positive.\nAnswer: z**(25\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 5*k**3 - 2*k**2 - 2*k - 2. Let p(x) = 18*x**3 - 9*x**2 - 9*x - 9. What is -9*o(r) + 2*p(r)?\nAnswer: -9*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8903 - 36\/((-42)\/(-7))?\nAnswer: 7, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164698 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.64 + 0.9. Let o = -3.803 - -4.05. Let q = n - o. What is q rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 119\/72 + -15\/8. What is the fourth biggest value in -2\/29, 3, 2\/15, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 3 (b) -20\/3 (c) 1\/4 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*33*(-18)\/(-44). Let j = 4 + -4. Which is the third smallest value? (a) 2 (b) v (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.179821 nanograms in milligrams?\nAnswer: 0.000008179821","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/5 of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3861895 is divided by 430.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 + -27. Suppose 4*s - v*s = 5*h - 21, 3*s - 1 = -h. Suppose 0 = z - 4*d - 28, 8*z - h*d + 20 = 11*z. What is the least common multiple of 12 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (6 - -5) - 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*t - 386 = 310 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i**4 - 350*i**3 + 6740*i**2 - 20130*i - 27225 = 0 for i.\nAnswer: -1, 5, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -823779 and 19594893.\nAnswer: 18771114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 17*s + 779. What is the tens digit of j(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -11. Suppose -5*a = -12*d + 8*d - 26, -2*d - 12 = -2*a. Let o = 10 - 5. Solve 5*x + 3*s - z = 0, o*x - a*s + 3*s = 8 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 9*k**2 + 2*k - 17. Let s be a(9). Suppose -s - 2 = -n. Factor -3\/2 - 3*u**n + 3\/2*u**2 + 3*u.\nAnswer: -3*(u - 1)*(u + 1)*(2*u - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 187794218 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14492722 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51603?\nAnswer: 3, 103, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 3:46 AM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + 114\/28)*(-4 + -2)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w**3 + 5*w**3 - 2*w**4)*(7 + 3 + 1) + (-2*w**2 + 0*w**2 - 3*w**2)*(7*w**2 - w**2 + 3*w**2).\nAnswer: -67*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 take away 172825427017?\nAnswer: -172825427068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 155.405t to kilograms.\nAnswer: 155405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from smsummrskmukuu. What is prob of picking 4 u?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14604 - 14604.00016622. Round h to 6 decimal places.\nAnswer: -0.000166","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = l - 14. Let d = l + 36. Calculate the highest common factor of 48 and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.024 take away 1587?\nAnswer: -1578.976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of b**4\/4 + b**3\/3 + 7*b**2\/2 - 2*b - 109. Let g be n(-4). Is g < -233\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*k**2 - 2 + 2 + 923*k - 892*k.\nAnswer: 34*k**2 + 31*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -557, -2415, -5495, -9791, -15297, -22007?\nAnswer: -29915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 57942882 and 11976.\nAnswer: 2994","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -0.5323?\nAnswer: 2.6615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 68 + -69. Which is the fourth smallest value? (a) h (b) -2 (c) 0.5 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27 - -48. Let s = 1 + -13. Let k(x) = x**3 + 13*x**2 + 6*x + 10. What is the remainder when k(s) is divided by u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (17 + -7 - 9) + -8 + -2 + 21\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -15, 6 = -4*n - m + 3. Suppose j - 3*j + 8 = n. Suppose -13 = -j*w + 3*w. Does 13 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 292*k**2. Let m(c) be the second derivative of c**3\/3 - 4*c - 34. Give m(y(x)).\nAnswer: 584*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + 45*k**2 - 143*k + 133. Determine q(-48).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b. Suppose 5*n = 20, n + n - 28 = 4*v. Calculate a(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2 and 12 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2\/3 (b) 1 (c) -0.07 (d) 11\/60 (e) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 241040 is divided by 552.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4253.3 - 4253. Let r = -100789\/29 - -3475. Let j = r - -25\/232. Which is the nearest to 1? (a) j (b) x (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*x**5 + 85*x**4 - 375*x**3 - 785*x**2 - 180*x + 160 = 0.\nAnswer: -8, -1, 1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2704 + 2706. Solve m = -o + 3, o + 1 = c*m - m for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3524880782.\nAnswer: 2, 41, 149, 288499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2024*n + 313654. What is v(155)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.02 and 215.\nAnswer: 215.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-14) + 111\/(-609). Let u = b + 11\/174. Suppose 0 = -4*g + 11 + 5. What is the second biggest value in u, g, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - 0 - 3\/1. Let d = -1 - g. Let q(s) = 14*s + 2. Let p(l) = -12*l + 1. Let x(u) = 47*u - 4. Let w(i) = 4*p(i) + x(i). Determine d*q(v) + 12*w(v).\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 4*a, -649*w - 4*a + 3*a + 5 = -329*w - 319*w for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/306 and -89\/9452.\nAnswer: 85068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 39199 divided by 858\nAnswer: 39199\/858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 253698617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 474*y**4\/7 + 2682*y**3\/7 + 11782*y**2\/21 + 5114*y\/21 - 44\/21 = 0. Calculate y.\nAnswer: -11\/3, -1, 2\/237","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of -1\/12*l**4 + 0 + 1\/10*l**5 + l**2 + 0*l - 2\/9*l**3 + 1\/18*l**6. Suppose q(v) = 0. Calculate v.\nAnswer: -1, -2\/5, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 5*m + 12. Let z(a) be the first derivative of -2\/3*a**m + 0*a - 1 + 0*a**2. Let x(t) = -t**2. Calculate z(x(v)).\nAnswer: -2*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19.32 - -19.32. Suppose -3*r + 4 = -r. Which is the third biggest value? (a) r (b) s (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3\/4 (b) -5\/4 (c) 1\/4 (d) 52\/9 (e) -0.111\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3078.336 - -3078.4. Which is the fourth smallest value? (a) 2 (b) x (c) 0.1 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -5*c**3 - 374370*c**2 - 7010638845*c - 112074403280 = 0.\nAnswer: -37429, -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 4) to base 2\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((48\/20)\/(-6) + (-81)\/(-15))*1. Solve -2*l = -s*m - 7*l + 5, -5*l + 5 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 33\/2*(-6)\/(-9). Suppose 3*r + 3*v + 5 - 14 = 0, 0 = 3*r + 2*v - 8. Suppose w + p = r*w. What are the prime factors of w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -54290 by -445.\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 11*c**3 + 4*c**2 - 55*c**2 + 50 - 52. Let k(a) = 43*a**3 - 203*a**2 - 9. Let m(z) = -2*k(z) + 9*n(z). Find the third derivative of m(g) wrt g.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 455 and 715?\nAnswer: 5005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 79756 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (8 - (1 + (8 - 6)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/6 and ((-42)\/(-4))\/(-8 - 8\/4).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2980181*f**3 - 2980160*f**3 + 2 + 5*f**2 + 6*f - 1 to x*f + w*f**3 + r + i*f**2 and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 23122041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-7))**(-12)*(p\/p**(-2\/15))**(-1\/24))**40 assuming p is positive.\nAnswer: p**(30223\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -r, 5*d + 3*r = 9 + 108. Let y(v) = v - 7. Let o be y(9). Suppose d*q = 23*q - o. Which is smaller: q or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 0*i = -2, -i + 4 = 3*l. Let j(h) = -h + 2. Let t(n) = 6*n - 2. Let a(v) = j(v) + t(v). Calculate a(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*m**4 + 7*m**4 + 3*m**2 + 13*m**4 - 2*m**3 to the form z*m**3 + r*m**4 + a*m + y + w*m**2 and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 2 - 6. Let x be 2\/(-4) - 2\/n. Suppose -l + x*l + 2 = 0. Sort 1, l, -5 in increasing order.\nAnswer: -5, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -3*s - 5, y - 126 = 5*s. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - -16049?\nAnswer: 16051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 238 + -147. Is c a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2811 - -0.294. What is r rounded to 3 decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 3*j - 10, -i + 16 = 3*j + 5. Suppose j*s + 45 = -s. Let t = -7 - s. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -15 - (960 - 963)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mjdvmuv. What is prob of picking 2 v, 1 u, and 1 d?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in 3\/7, 46, -0.1, 0.02, 2\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(28)\/sqrt(4) + -1 + 2*sqrt(1008))**2 + -2.\nAnswer: -50*sqrt(7) + 4374","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(-14)\/d)*d*d*d*d\/((d*d*d**(-7)*d)\/d))**39\/((d**3)**(3\/7))**27 assuming d is positive.\nAnswer: d**(6582\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of -47*t + 0 - 7\/2*t**2 - t**3 + 1\/12*t**4. Suppose j(s) = 0. Calculate s.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 882818.19 nanoseconds to hours.\nAnswer: 0.000000245227275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d - 268*x + 266*x + 112, 129*x = 5*d + 7224 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3412 - 5203335?\nAnswer: -5166623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 greater than -2670606?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*y + y**2 + 3*y)*(y**2 + 3*y - 9*y - 4*y) to the form u*y**3 + k + j*y**2 + l*y + s*y**4 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -128, -115, -102, -95, -100, -123?\nAnswer: -170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 242 and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 10 - 4 = 3*c, 0 = -3*c - 4*b - 20 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/2)\/(1968\/(-6560)). Let n(c) = -2*c + 0 - 3*c - 2. Give n(y).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*q + 17*q - f = 11, 0 = 5*q - 4*f - 32 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-5))\/((-18)\/15). Let f = -15224\/3 + 5029. Let a = -46 - f. What is the third smallest value in a, -3\/7, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - 2 + 2)*(-153*n + 159*n + 0 + 2).\nAnswer: 6*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 d when three letters picked without replacement from {j: 7, b: 2, d: 6}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*7*2 - -1. Let u = -10 + x. Suppose 4*p + 15 = -u*j + 52, 0 = p + 3*j - 18. Solve 18 = 5*o + r, -o + 2*r = p - 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3172*v + 14*v**2 - 22 - 67*v**3 + 3172*v.\nAnswer: -67*v**3 + 14*v**2 - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-6*(-5*(5 + sqrt(432) + sqrt(432)*-6 + sqrt(432))*1*5)**2*-4.\nAnswer: -28800000*sqrt(3) + 416220000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {t: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 0 + 2)*(-4*i + 4*i - 2*i + (-5*i + 0*i + 6*i)*(2 + 2 - 2) + i + 3 - 3 + 0 - 2*i + 0) in the form d*i + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 311a3b (base 15) to base 9\nAnswer: 4347212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dfjf when four letters picked without replacement from {f: 2, k: 2, d: 2, j: 1, n: 7, i: 2}.\nAnswer: 1\/10920","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -4*c**3 - 43*c**2 - 143*c - 94. Determine i(-5).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 69324237.4 rounded to the nearest one million?\nAnswer: 69000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j - 2*t + 1, 0 = -256*j + 251*j + 4*t + 31 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -798.4 + 797.6. Which is the nearest to 7? (a) 2 (b) -0.4 (c) s (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -0.06 (c) 47.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -716 - -278. Let a = 97.861 + -538.031. Let j = a - w. Round j to one decimal place.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1067424 and 96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 72241 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-23 - -21 - (-8 - -1))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -3. Let v = -3.2 - z. Let r = 2.5 + -5.5. Sort r, v, -4\/3 in descending order.\nAnswer: v, -4\/3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cj when two letters picked without replacement from {h: 1, c: 1, b: 2, j: 1, s: 1, u: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 6 + 1 + 19*c - c + 11 to z + f*c and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 45a219a + -3?\nAnswer: 45a2197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 + 3*v + 1. Suppose 29*h = 27*h + 6. Let n be p(h). Which is smaller: -3 or n?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/7675?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 6, c: 4}. What is prob of picking 1 c and 3 m?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1.721*-194.5\nAnswer: -334.7345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 q when four letters picked without replacement from {q: 3, g: 2, m: 4, p: 1, a: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(2600)*1*-5)\/(((sqrt(162)*-1 - sqrt(162) - sqrt(162))*4 - sqrt(162)) + sqrt(162)).\nAnswer: 125*sqrt(13)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from azzmxazffzaamm. What is prob of sequence xmz?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*m**2*n**3*y**3 + 2*m**2*n**2*y + m**2 + 10418*m*y**3 + 173*n**3*y**3 + 14*n**3 wrt n?\nAnswer: -24*m**2*y**3 + 1038*y**3 + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -350*m**3 + 4*m**2 - 22 wrt m.\nAnswer: -2100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (0 - (8 - (1 + (4 - 2))))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f - 4*g + 11, 32*g = 3*f + 36*g - 31 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 160*o**4 + o**3 - o**2 - 1748*o + 5. Let g(f) = f**4 - f**3 + f**2 + 2*f - 5. Let b(s) = g(s) + x(s). What is the second derivative of b(v) wrt v?\nAnswer: 1932*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 3 d when four letters picked without replacement from {f: 9, d: 7}.\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -498 - -518. Calculate the remainder when 1276 is divided by d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 - 0.4. Let k = z - -0.2. Suppose -1 - 19 = -5*f. Which is the second biggest value? (a) k (b) -2\/7 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 7063 - 2346 - s**2 - 2347 - 2327 + 12*s. Give u(15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3936*i**2 - 4*i**3 - 2013*i**2 - 2063*i**2 + 3*i**3 + 0*i**3 - i**3.\nAnswer: -2*i**3 - 140*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 56 = -d - 4*w, 2*d = w + 46. Suppose -25*s = -d*s - 2. Solve -n = 2*b + b - 10, -s*b = -n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -23*m**3 - 3*m**2 + 34*m + 30. Let n(f) = -10*f**3 - f**2 + 16*f + 13. Let p(a) = -3*g(a) + 7*n(a). Determine p(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of -3*x**4\/8 - 10*x**3 + 322*x**2 + 1. What is n(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -74*b - 5. Determine x(-1).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10286 is divided by 251.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -560, 1\/6 in descending order.\nAnswer: 0.5, 1\/6, -560","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 i when two letters picked without replacement from mkiikmkkkkkkk?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1580 = -52*j + 3192 for j.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -157, -2, 507, 1406, 2731, 4518, 6803?\nAnswer: 9622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12582923 to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 12bc5b (base 13) in base 11?\nAnswer: 290681","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*i + 43 = -128 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - 3*q**2 + 1. Let s be h(2). Let v be (0 + 3)\/(s\/4). Let u = 7 + v. Put -5, u, 5 in ascending order.\nAnswer: -5, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 o when two letters picked without replacement from oojojoiop?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10176 - 10173.58. Sort -3\/13, -2\/11, 4, u.\nAnswer: -3\/13, -2\/11, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.009 - 1.18. Let k = -0.671 - m. What is the nearest to -0.1 in k, -5, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -464 - 21?\nAnswer: -515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 6*c + 6 = 0. Is 4611 - -1*(c + 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + 4*i**2 - 3*i - 2. Let w be 30\/9 + (-2)\/6. Determine v(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -4. Suppose -2*n + 107 = -3*h, -n + 61 = -0*n - r*h. Suppose -1 = -8*m - n. Let l(p) = -p**3 - 6*p**2 - 2*p - 2. Give l(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38 by -27035178.\nAnswer: 19\/13517589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 (base 11) in base 6?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*b + 2*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154 is divided by 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -5, 50\/13, -0.078, 0.3, -17, 0.5, 0.2?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 127 and 20193889.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 74564550 by 1083.\nAnswer: 68850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -4*d**2. Let m(a) be the second derivative of 3*a**3\/2 - 27*a**2\/2 + 3121*a. Determine m(t(g)).\nAnswer: -36*g**2 - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 676*h**2 + 11024*h + 44944.\nAnswer: 4*(13*h + 106)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -34 + 82. Suppose 4*c - f = -0*c. Let u = c - -2. Calculate the lowest common multiple of u and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 807?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -52*y**5 + 4000*y**4 - 42532*y**3 - 1518120*y**2 + 3175200*y = 0.\nAnswer: -196\/13, 0, 2, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 2*q = 2*z + 4, -q + 2 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5*3\/(-9) + -3. Let h = f - -11\/6. Factor i + h*i**4 - 1\/2 - i**3 + 0*i**2.\nAnswer: (i - 1)**3*(i + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 14) to base 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 8 = 4*f, -5*c - 13 = -4*f - 5 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(3\/2))**(6\/23)\/(p**(-16)*p*p**(-15)*p) assuming p is positive.\nAnswer: p**(676\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -67.7 - -26.4. Let f = 30 + d. Let j = -11.299034 - f. Round j to 4 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -1.2. Let v = -32830 + 32829. Let l = 3 + -2. Which is the nearest to g? (a) l (b) -4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17920 and 8826160?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.34 + -3.76. Let o = 0.1 + a. What is the closest to -0.1 in -0.4, 0.5, o?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + 12*b**2 + 11*b + 30. Let d be g(13). Solve 0 = -2*z + d, 3*p + 4*z - 2 = -9 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52239 is divided by 556?\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u - 3516800 = -7*u. Let f = 93200 + u. What is f rounded to the nearest one hundred thousand?\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00033693112 rounded to 5 decimal places?\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -3 + 1*sqrt(363)*2 + ((0 + sqrt(3))*6)**2 + (sqrt(6)\/sqrt(2)*3 - sqrt(3)).\nAnswer: 24*sqrt(3) + 110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.7 and 5359.\nAnswer: -3751.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*j**3 + j + j - j)*(65*j**2 + 127 - 129 - 17*j**2).\nAnswer: -528*j**5 + 70*j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8523419 a multiple of 551?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -26, -34, -64, -128, -238, -406?\n\"Answer: -2*q**3 + q**2 + 3*q - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 889739.496364 plus -1?\nAnswer: 889738.496364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16\/249 - -29213\/1245. Let a = u + -24. Sort 0.2, -5, -3\/8, a in descending order.\nAnswer: 0.2, -3\/8, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 10:42 PM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (84\/490)\/(((-12)\/15)\/(-2))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (0 - 7 - (0 - 2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 480, 1544, 2606, 3666, 4724, 5780, 6834?\nAnswer: 7886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94 + 94 + 10*k**2.\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 510 and 170.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142*z = -255*z + 2879014. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 289*h - 285*h = 15*j - 117, -4*j + 37 = -3*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Solve -80 = -53*b + 75*b - 38*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3211 and 8399469.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**2 - 13*u + 6. Let h be g(-6). Let l(q) be the first derivative of 0*q + 5\/6*q**6 + h + 0*q**2 - 5\/4*q**4 + q**5 - 5\/3*q**3. Factor l(t).\nAnswer: 5*t**2*(t - 1)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/((-3)\/(-6)*6)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 17142935 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 2*c**3 + 2*c + 4*c**2 + 0*c - 1. Let d be h(-2). What is the second derivative of d*x - 4*x**4 + 2*x**4 - 3*x - x wrt x?\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 3*q. Suppose -7 = 2*j + 2*d + 3*d, 2*d - 10 = -4*j. What is the tens digit of (q - j)\/(8\/(-68))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 0 + 4540\/8 - 13\/(-26)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 236 - 250. Let g = 89 - p. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2*i - 16 = d, -2*i - 4*d = 8. Suppose 4*r - i + 0 = 0. Let f be 5 - (-4*r - -3). Solve 0*k - f = -2*k, 3*x - 6 = -5*k for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 228 and (2176\/102)\/((-22)\/(-33))?\nAnswer: 1824","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110000101001111 - 110?\nAnswer: 110000101001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 - (-22 - (8 - 37))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 - 27 - (-31 - -6).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -15, 2\/11, 198, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 55 + 131. Is k >= 185?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 886*l + 14324 = -10484 for l.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 2:56 AM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 2 + sqrt(325) - sqrt(325)) + 5 + 4)**2.\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 57*y + 287. Let k be o(-5). Let z(q) = 9*q**3 + 11*q**2 + 6*q + 5. Let x(c) = -2*c**3 - 2*c**2 - c - 1. Determine k*z(m) + 11*x(m).\nAnswer: -4*m**3 + m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of -k**2\/2 + 1. Let i(g) = -21*g. Suppose 2*t + r + 25 = 0, 0 = t - 4*t - 3*r - 42. Let p = 29 + t. Give p*m(h) - i(h).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 239 + 121. Let u = q - 119\/2. Let l = 4.6 - 0.6. Which is the third biggest value? (a) u (b) l (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 930384330?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 - z - 30. Let j be p(-5). Solve 3*r + 2*r + 25 = j for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 3*s - 604 = 0, -99 = -2*b + 5*s + 124. Solve 10*n + b = 89 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + 0. Let q = 10\/57 + 842\/399. Determine p so that -78\/7*p**s - 72\/7*p - 116\/7*p**2 - q - 18\/7*p**4 = 0.\nAnswer: -2, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25 - -19. Let i(y) = y**4 + 5*y**2 - 6*y + 4. Let d(o) = 2*o**4 - o**3 + 6*o**2 - 5*o + 4. Let w(x) = m*i(x) + 4*d(x). Let w(v) = 0. What is v?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*b + 13684560 = 71*b + 68*b. List the prime factors of b.\nAnswer: 2, 5, 3001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 + 355*f - 33188. Let p be r(77). Let k be (113 - (-2)\/2)\/1. What is the highest common divisor of k and p?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -42b - -4?\nAnswer: -427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1768956775.\nAnswer: 5, 1621, 43651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -864424\/269 or -3213?\nAnswer: -3213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 4*i**3 + 5*i**2 + 3*i - 12. What is f(-4)?\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y**2 - 5*y**2 - 6*y**2 + y**3 + 7*y**2.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(0 - 4) - 3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36 + 81. Is 15 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/5 - 23*a**2\/5 + 43*a\/5 - 21\/5.\nAnswer: (a - 21)*(a - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 + 36 = 25*m - 532 for m.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 348 times -20\nAnswer: -6960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 254*k**2 + k**3 - 3*k**3 + k + 192 - 74*k**2 - 96*k**2 - 84*k**2.\nAnswer: -2*k**3 + k + 192","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10426?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50959 and 123313?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(5 + (-2*sqrt(11)*5 + sqrt(11) + sqrt(33)\/sqrt(3) + 2 - (-5 + sqrt(275) + sqrt(275)*-1))) + -2)**2 + 4.\nAnswer: -4960*sqrt(11) + 21448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 68.8 + -68.9. Which is the nearest to s? (a) -5 (b) 2\/21 (c) 1\/2 (d) 1.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65922.67s to microseconds.\nAnswer: 65922670000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i**2. Let u(b) = 27253902*b**2. Give q(u(t)).\nAnswer: 1485550348451208*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 2:57 PM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -736 - -710 - (-1 + -30).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 4*n**2 - 43*n - 8. Determine c(10).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*g + 86*g + 184 - 52*g.\nAnswer: 86*g + 184","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -5961*p**2. Let d(z) = z**2. Give d(x(c)).\nAnswer: 35533521*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 0*w + 16 = 0, 4*w - 24 = -4*i. Suppose i*l = 3*m - 248 - 2048, 3*l - 3084 = -4*m. Suppose 0 = 5*q + 3*q - m. Is q a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(99) + sqrt(99))*6 + sqrt(99))\/(sqrt(63)\/sqrt(63)))**2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 11*c**2 - 11*c + 16. Let y = 9236 + -9226. Determine o(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of w**6\/150 - 43*w**4\/60 - 7*w**3\/5 - 1162*w. Suppose h(i) = 0. What is i?\nAnswer: -6, -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 487*k - 32. What are the prime factors of o(3)?\nAnswer: 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -747*p - 2599 = -634*p for p.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - 12?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 53*s - 264 - 160 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**2 + 3*t - 23. Let s(p) = -p**2 + 1. Let m(n) = -s(n) - y(n). Let b be m(-6). What is the hundreds digit of (223 + -3)*-1*(-2)\/b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -39, -317, -1063, -2511, -4895, -8449, -13407, -20003?\n\"Answer: -39*p**3 - 5*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (34\/4)\/(6\/12). Suppose -16*n + 47 = -u. Solve 0*y + 3*o - 20 = y, n*y - 2*o = -30 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - -2)*26*11\/245674. Which is the second smallest value? (a) 3 (b) g (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-210)\/10*(-2)\/(-3). Let m(v) = -11*v - 114. Let p be m(r). Solve 2*c = -6*c + p for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -4, 4, 1088, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4.3 times 1.66792\nAnswer: -7.172056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-90)\/(-54))\/(1\/3). Suppose 9*k + 13 = -t. Sort -3, 3, 1, k in descending order.\nAnswer: 3, 1, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**2 - p**3 + 2*p**3 - 4*p**2)*(4 + 0 + 1 + (-1 - 3 + 3)*(1 + 1 + 4))*(0*p + p + 2*p).\nAnswer: -3*p**4 + 3*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1280 and 53922080?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**5)**(-42)*(p\/(p*p\/p**(-11)*p*p*p))**(-13\/3) assuming p is positive.\nAnswer: p**233","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(11 - 12) - -6)*(-221)\/(-39)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 g when four letters picked without replacement from thtytgytytytt?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 92*n**3 - n + 136*n**3 - 368*n**3 + 10*n**2 + n**2 + 139*n**3 in the form d + o*n**3 + k*n**2 + s*n and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-104)\/56)\/(204\/(-14) + 14).\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -0*r - q - 3, -5*r = 3*q + 23. Let l(o) = o**2 + 8*o + 9. Let u be l(r). Suppose 0 = 4*k - 3*s - u*s - 71, 3*k - 52 = 5*s. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 35251 + -5424011?\nAnswer: -5344320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 PM and 8:11 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 541243 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, -26, 1, 4, -11 in descending order.\nAnswer: 4, 1, -3\/5, -11, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.6504+7.08\nAnswer: 6.4296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -6978, -7060, -7128, -7176, -7198?\n\"Answer: z**3 + z**2 - 92*z - 6888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 + (63 - 24) - (-1 + -14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 702 and 7488?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 - 2*n + 137. List the prime factors of l(0).\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18797 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -56*z + 59*z - 2784. What are the prime factors of z?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/(-6)*20\/2. Suppose -4*j + m - 3 = 0. Put j, -5, 1 in ascending order.\nAnswer: -5, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -942956+-0.3\nAnswer: -942956.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1737430*j**6 - 1948*j**2 - j wrt j.\nAnswer: -208491600*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -1. Let w be (-1)\/(11 - 9)*(-1 - -3). Let q(y) = -3*y + 9. Determine w*q(r) - 6*u(r).\nAnswer: 3*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38914 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (6 - (-35 + 19)) + 92\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmkmmmmmkmmmmmmmmm. What is prob of sequence kk?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*g**2 + 466783932*g - 18157269931115052 = 0. What is g?\nAnswer: 77797322","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1100) + -3 + sqrt(539) + 4 + ((-3 + sqrt(176) + (sqrt(176) - (2 + sqrt(176))))*6)**2.\nAnswer: -1423*sqrt(11) + 7237","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 3390*u**2 + 4*u - 5. What are the prime factors of d(1)?\nAnswer: 3389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3896404660 + -958.2.\nAnswer: 3896403701.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - 3 - 0 - 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 + j)*(3*j + j - 6*j) + j**2 + 3*j**2 - 5*j**2)*(-3*j**3 + j**3 + 4*j**3).\nAnswer: -6*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 18 = -4*w + 4*c, 0 = -3*w - 2*c + 3. Suppose -5*n + 18 = -12. Suppose -y - 35 = -n*y. Solve l = -2*k + y, 0 = l - w*k + 4 - 1 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of h**3 + 129539*h**2 - 27279.\nAnswer: 3*h**2 + 259078*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1483?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r\/(r\/(r*r**(-9\/7)))*r))\/r*r*r\/((r*r**(-7\/5))\/r)*r**(-9)*r**(-3\/2))**(-29) assuming r is positive.\nAnswer: r**(17893\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (10626\/(-1080))\/7 + 8\/6 and 67\/120.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3 (b) -114 (c) -4\/3 (d) 0.3 (e) -6258 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -27*i**2. Let p(j) = 2408*j**2 + 93*j - 8. Determine p(q(t)).\nAnswer: 1755432*t**4 - 2511*t**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -3655985800 to the nearest one million.\nAnswer: -3656000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*z = -59 + 304. Is 23 a factor of (z + -32 + -3)\/(6\/(-68))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 45\/41 (b) -51 (c) -8\/7 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -93.92 to the nearest integer.\nAnswer: -94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 208 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 12:58 PM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 5*h**2 - 12*h - 21. Let g(a) = -6*a**2 + 13*a + 24. Let v(z) = -4*g(z) - 5*s(z). Let n = 12 + 6. Let u = n - 9. Calculate v(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1\/3, 0.13.\nAnswer: 0.13, 1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*t**4 + 4*t**2 + 0*t - 154\/15*t**3 + 0.\nAnswer: 2*t**2*(t - 15)*(5*t - 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28709 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 + 10 + 23 - 4*g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*n + 65 - 65 + n**2 + 2*n**4 - 2*n**3 in the form v*n + l*n**2 + p*n**3 + i*n**4 + b and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 169080, 676320, 1521722, 2705286, 4227012, 6086900?\n\"Answer: 169081*c**2 - 3*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.070107743 rounded to 3 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 724973972?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5064 - -7626. Suppose l = 2*j + 2*c, 4*c - 7*c + 5120 = 4*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + x - 14 = 165, -2*g + 95 = -5*x. Solve 12 = -g*c + 48*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 350646619 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.199 + -249.199. Let c = k + 248.7. Put -2\/3, c, -44, 4 in decreasing order.\nAnswer: 4, c, -2\/3, -44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14044253 (base 9) in base 14?\nAnswer: -cc866b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + (sqrt(18))**2 + -1 + sqrt(2) + (sqrt(2) + ((sqrt(20)\/sqrt(5))\/sqrt(2) - sqrt(2)))**2 + (sqrt(1408)*-1)\/sqrt(11).\nAnswer: -6*sqrt(2) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6*(-3)\/2)\/3*(-30)\/18. Sort -5, 1820, q in decreasing order.\nAnswer: 1820, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1362\/8 + (-8)\/32. What is the tens digit of (i\/(-25) - 0)*-10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8529\/8 - 1071. Let k(c) = 12*c + 20. Let u be k(-19). Find the common denominator of r and (117\/u)\/((-4)\/18).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 3*l**2 - 3*l - 7. Determine g(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 559\/27 in -0.4, 3, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/w**(2\/23)*w**(-3\/2)*w*(w*w\/((w*w**(-19))\/w))\/(w**(-9\/7)*w*w) assuming w is positive.\nAnswer: w**(6665\/322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of u**4\/6 - 5*u**3\/6 + u**2. Let p be v(2). Put p, 4, -2 in ascending order.\nAnswer: -2, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1812074 equal to -1812081?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -186071317 smaller than -186071316?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -2973, -0.2, 1\/3 in descending order.\nAnswer: 1\/3, 0.2, -0.2, -2973","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1 + sqrt(200))**2 + 1 + 1 + sqrt(200).\nAnswer: -30*sqrt(2) + 206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cxxwowwwicwmx. Give prob of sequence ccx.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(80)*2 + 3 + sqrt(80) - sqrt(60)\/(-1*sqrt(12)*1).\nAnswer: 3 + 13*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1821 is divided by 422?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-9)*-3)\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 195\/21 + (-4)\/14. Let c(n) = 6*n**2 - 4*n - n**2 - 4*n**2 - k. Is c(7) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4 = 3*h - 0, 3*s - 24 = -3*h. Let y = -9 + 38. Suppose 7 = -2*d + y. What is the lowest common multiple of d and h?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1321 is divided by 104.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 0 - (64 + -64)) + -11.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - t = 11 - 4, -5*d = -t - 8. Which is smaller: d or 8\/107?\nAnswer: 8\/107","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 - 29*u - 178. Determine k(-20).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1221029 and 173.\nAnswer: -1220856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27.6 + -7.4. Let l = -37 - r. Which is the closest to 1? (a) 0.3 (b) l (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.2 + 0.2. Let t = -14 - -14.1. What is the nearest to t in 0, -1\/10, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of -g**3\/6 - g. Let v(m) = -5*m - 5*m + 0*m. Calculate v(f(z)).\nAnswer: 10*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of -3*b**9\/56 + b**8\/168 - 163*b**5\/30 + b**4\/24 + 1054*b**2. Find the third derivative of l(h) wrt h.\nAnswer: -3240*h**3 + 120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44)\/(-2) - -130*(-950)\/5681.\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 12991, 13632, 14273?\n\"Answer: 641*j + 12350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2329694039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11001 - 10657. What is the remainder when j is divided by 113?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -79 and 2\/1147 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 738\/120*-6 + 4\/10. Let u = m + 36. Which is the third biggest value? (a) -2\/19 (b) -29 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 860850 is divided by 238?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4197 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*g**2 - 10*g**2 - 10*g**5 - g**2 - 6*g**2 wrt g.\nAnswer: -600*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -264, -952, -2062, -3594, -5548, -7924?\n\"Answer: -211*y**2 - 55*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = l - 33, 3*l - 4*j + 3*j = 129. Let u = l + -41. Solve -3*r - 19 = -4*z, -2*z = r - u + 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.1 (b) 2\/15 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -7*t - 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 23*h**2 - 13*h - 6. Let n(r) = 11*r**2 - 6*r - 3. Let i(w) = 13*n(w) - 6*v(w). Let g be i(3). What is the greatest common divisor of 14 and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*z - 3*l, -z - 2*z = 5*l - 4. Let w(r) = r + 4*r - 6*r - 2. Calculate w(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i + 4565. Let t(l) = 12*l + 7. Calculate t(h(a)).\nAnswer: 12*a + 54787","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4474696133 to the nearest integer?\nAnswer: 66893","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o**3 + 21*o**2 - 15*o + 54. Let t be n(10). Factor -26 + 16*x**3 - 43*x**3 + 1123*x - 955*x - 21*x**2 - t - 6.\nAnswer: -3*(x - 2)*(x + 3)*(9*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12811\/3899 - (-1)\/(-7)*2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2158635?\nAnswer: 3, 5, 143909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2*n = 4*o + 43, 2*o = n - 13. Let p be 49 + (3 - (-1 + 2)). What is the highest common factor of p and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - 5*z - 3. Let v be m(5). Let n = 15 + -11. Let g = 67\/344 + -3\/43. Which is the second smallest value? (a) g (b) n (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1215 rounded to 3 dps?\nAnswer: 0.122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 4 + -2 - (-3 + 3).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.54 times 3.08?\nAnswer: 17.0632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001484 to 6 decimal places.\nAnswer: -0.000148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 55780\/(-22312) - (-354)\/(-4)\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 24 = -4*o, -4*j + 8 = 3*o - 10. Solve x + o = -2*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = 5*f + 13, 22*o + 17 = 27*o - 4*f for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 - 6*m)*(2 - 2 - 2*m**2) + 20 - 78*m**3 - 20 to the form q*m**2 + v*m**3 + w*m + a and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-15)\/(((-135)\/20)\/((-63)\/(-84))). Find x, given that -4\/3*x + y*x**3 + 0*x**2 + 0 - 1\/3*x**5 + 0*x**4 = 0.\nAnswer: -2, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 608036614 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -96, -107, -132, -177, -248, -351, -492, -677?\n\"Answer: -t**3 - t**2 - t - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 5 = 0, 3*p - 10 = -n - n. Let x(o) = o**2 - 7*o + 5. Let j be x(6). Let b be (-1 - -9)*j\/(-2). Solve b*f = 2*q - 8, 0*q + p*f + 2 = -q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111000011001000 (base 2) in base 8?\nAnswer: -70310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 73*h**2 - 200*h**2 + 61*h**2 + 55*h**2 - h**3. Let z(y) = -3*y**2. Determine -2*d(v) + 9*z(v).\nAnswer: 2*v**3 - 5*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + 0 + 2*-7. Let l = 12 + g. Solve s**4 - 4*s**3 + s + 5*s**2 + l*s**4 - 3*s + 0*s = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48885, 391110, 1320013, 3128934, 6111213?\nAnswer: 10560190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8958*w**2 - 8946*w**2 + 26846*w**2 - 8943*w**2.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6000, 11842, 17524, 23046, 28408, 33610?\nAnswer: 38652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262285324 is divided by 1006.\nAnswer: 1004","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.28 + 0.19?\nAnswer: 0.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2928)\/200 - -4 - -15. Is 3 smaller than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 464445, -2, -1 in increasing order.\nAnswer: -2, -1, 464445","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, g: 1, m: 1, y: 2, d: 7}. Give prob of sequence dd.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -257 divided by -30137.\nAnswer: 257\/30137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 105802 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 2206890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kdka when four letters picked without replacement from dyqdkakakk?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3440 and 86.\nAnswer: 3440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 10. Suppose -l*v + 394 = -5*v. Let k = 916 - v. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 214, 1690, 5698, 13504, 26374, 45574?\nAnswer: 72370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3275790 or -3275774?\nAnswer: -3275774","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -408329, 2, -4, -6.\nAnswer: -408329, -6, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from -241.05.\nAnswer: -241.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + 7*n + 8. Let v be o(9). Let c be -3 + (-2 - (1 + v)). Let l = -3 - -5. Solve l*u - k = -3*u + 3, k + 3 = c*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.054*11.\nAnswer: -0.594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 - x - 4. Let y be k(3). Suppose -210 = -6*g + 174. Let l = -47 + g. Solve -i + y + 8 = 5*j, -4*i + l = -3*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((sqrt(78) + 4*sqrt(78)*-4)*6)\/(sqrt(60)\/(-4*sqrt(490))))**2.\nAnswer: -15120*sqrt(13) + 82555209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18524*r**4 - 11803 wrt r?\nAnswer: -74096*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 5*v + 26940 = 0, 5107 = m + 2*v - 1641. What are the prime factors of m?\nAnswer: 2, 5, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69507545 to the power of 1\/2, to the nearest integer?\nAnswer: 8337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Solve -v = l, 9*l - 5*l = 2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29545759 is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 - 10. What is the units digit of 8\/p - 2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -120769 - -13043179\/108. Find the common denominator of -40\/3 and j.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.022 + -2.022. Which is the biggest value? (a) 1 (b) 0.2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 269.33 and -0.2?\nAnswer: -53.866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1401408, -2802821, -4204234, -5605647, -7007060, -8408473?\n\"Answer: -1401413*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) -2 (b) 2 (c) 6.4391\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -237.4 - -237. Let l = 232 - 1859\/8. Which is the third biggest value? (a) 0.2 (b) t (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 381835839?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 4:28 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 107*p + 2136. Let g be t(-20). Sort -35, g, 3, -1, 0 in decreasing order.\nAnswer: 3, 0, -1, g, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*j - 5*j + 0*j - j**2 + 53*j**2 to v*j + d + f*j**2 and give f.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -179 + 179. Is (c + 5230 + -3)*1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20054244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 62 and 27?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5123, 4737, 4351?\n\"Answer: -386*c + 5509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 481, 2691, 6367, 11515, 18141, 26251, 35851?\nAnswer: 46947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 114019549?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.1 in 30, -1\/4, -2\/3, -5, 1\/1045, -3\/5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23.96 + 1.76. Let f = k + 22. Let x = 0.03 - -1.97. Which is the nearest to x? (a) 3 (b) f (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15.7 + 15.144. Let b = i - -0.63. Round b to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 185 - 180. Suppose 0*z = -q - i*z + 1389, 3*q - 4115 = -2*z. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/35, 164, -4?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27429 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4*t = 2*t, 4*t = 3*n + 6. Let a(z) = z**3 + 6*z**2 + 2*z + 8. Let d be a(n). Sort d, 1, -1.\nAnswer: d, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 6*w - 52. Let b be u(9). Solve 3*o = -4*c - 0*c - 15, -5*o - b = -c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 0.1, 4, -0.1516?\nAnswer: -0.1516","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 - ((1326 - 1304) + (0 - 68))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of x**3\/6 + 7*x**2\/2 - 2*x. Let j be d(-6). Differentiate 5*f**3 - 2*f**3 + j - 1 - 2 wrt f.\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 469434994 bigger than 469434995?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4244 (base 6) to base 2.\nAnswer: 1111000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 1\/2*v**2 + 0 + 1\/2*v = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 - u + 1. Let m(j) = 7*j**2 + 18*j - 5. Let f(t) = m(t) + 6*z(t). Let r be f(-12). Is (-3 - -29)\/((-4)\/(-24)*r) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 209021 + -13932260.\nAnswer: -13723239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -190444.1 to the nearest ten thousand.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*d + 38*d = -24766. Calculate the remainder when d is divided by 19.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -157, 3, 1.5, -2.3, 1\/2 in descending order.\nAnswer: 3, 1.5, 1\/2, -2.3, -157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 1330941.21 to the nearest 100.\nAnswer: 1330900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in six fifths of a microgram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 8*s + 36 = 0. Suppose -s*v + 13 = -3*m - 104, -2*m = -2. Calculate the lowest common multiple of 130 and v.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 19 - 23. What is the highest common divisor of 2 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/2 + 12833701*g\/2 - 57751695.\nAnswer: (g - 9)*(g + 12833710)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -13 - (34\/(-6) - (-6)\/9). Let v be 33\/(-2) + 3\/6. Let w = q - v. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/4*b**3 - 3\/4*b - 15\/2*b**2 + 15\/2.\nAnswer: 3*(b - 10)*(b - 1)*(b + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21411 - -22641. What is the least common multiple of r and 4100?\nAnswer: 12300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 6, m: 4, u: 2}. Give prob of picking 4 m.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4696049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/31260 and 76\/773685.\nAnswer: 3094740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22202 + -12?\nAnswer: -22221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {o: 12, h: 1, r: 5}.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14797873 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 - -0.8. Let c = -1 + q. What is the closest to -0.2 in c, -1, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/12402 and 137\/12402.\nAnswer: 12402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 6, 0, -13 in decreasing order.\nAnswer: 6, 2, 0, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 8, s: 1, q: 2, p: 1, i: 6}. Give prob of picking 1 i and 3 c.\nAnswer: 28\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 7*r**2 - 7*r + 14. Let f be l(-8). Let m(s) = 2*s**2 - 11*s - 8. Let o be m(f). Let w = 2.02 + -0.02. What is the closest to o in 0, 0.5, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*r + 21*r + 35*r - 267834. List the prime factors of r.\nAnswer: 7, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5 = 7*a - 12*a, 4*a + 20 = 0. Let y be (-1)\/(36\/(-16))*15\/u. Sort -5, y, -6 in decreasing order.\nAnswer: y, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 30*f - 784 + 3887. Solve 0 = -113*c + f*c + 12 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/873 and -71\/27?\nAnswer: 2619","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - h = -134, -2*p = -7*p - 5*h + 330. Differentiate 10 - 5*m - 53*m - p - 30*m with respect to m.\nAnswer: -88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -126 divided by -296590.\nAnswer: 9\/21185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -19*x - 76. Let d be k(-5). Solve -d*p = 57 - 19 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q\/q**5*q)\/q)\/q)\/((q**(-1)\/q)\/q)*(q**(-2\/5)\/q)**(20\/7))**(2\/15) assuming q is positive.\nAnswer: q**(-4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.049285 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + 10*p**2 + 15*p + 3. Let d be j(11). Let h be (170\/(-765))\/(1\/(-54)) - -34. Solve -k = d - h for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmii when four letters picked without replacement from mmmii?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 12 = 3. Let x = -3 + j. Suppose d = -x*d. Solve -o + d*o - 5 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + -2*sqrt(171)*-2 + sqrt(171))\/(sqrt(441) + sqrt(441)*3).\nAnswer: 3*sqrt(19)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.65 to one decimal place.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 18592241957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.3, -2, -5, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(1\/2))**17)**(-50))**(2\/121) assuming z is positive.\nAnswer: z**(-2550\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 9*h**2 - 1045*h + 25798. Calculate t(35).\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z + 223 - 219 - z**2 + 2*z**3 + 2*z**2 to u + b*z**3 + o*z + i*z**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1372 is divided by 348?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 6:26 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -8.6. Let r = -1 + 0.5. Sort r, u, -2 in decreasing order.\nAnswer: u, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 + 6*w + 5. Let m be a(-3). Does 3 divide 4 + m\/(-3 - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -59 - -66. Let x(w) = -6 - 8*w + j + 9*w. Calculate the remainder when 18 is divided by x(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 56 and 112?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, h: 6, v: 1, m: 1, x: 3, c: 2}. Give prob of picking 1 h, 1 c, and 1 v.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3607*i*m**3 - 168*i - 426*m**3 + 2*m**2 + 92 wrt i?\nAnswer: 3607*m**3 - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-6*(-3 + (1 + sqrt(72))*2) + -5)*-2)**2.\nAnswer: -2304*sqrt(2) + 165904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 39127 = 5*o + 9468, -3*x - 2*o = -29152. What is the thousands digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 48\/(-15)*50\/4. Let y be (-2)\/(-10) - (-208)\/m. Is -5 equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8\/3? (a) -3 (b) 0.4 (c) 38\/5 (d) 1\/52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.156 times 0.2?\nAnswer: 8.6312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1921038 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -32857, -65715, -98573?\n\"Answer: -32858*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9b + -10630?\nAnswer: -106cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 26754 and 5213943.\nAnswer: 135562518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 3*g = -43, -485*g + 25 = -m - 489*g for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -m + 4. Suppose 2*p + 11 = -p + 4*l, 29 = m*p + 4*l. Solve p*y - 4 - 9 = -k, -17 = -k - 4*y for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 396 - 4531 - 6436 = -31*o. Calculate the greatest common divisor of 374 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -213*t + 105*t - 1 - 4*t**4 + t**3 + 102*t to k + u*t**3 + d*t**2 + b*t + q*t**4 and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.5 - 2. Let s = t - 0.5. Let o = -5 + 5.4. Which is the closest to 2\/3? (a) s (b) o (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(468) + 6*sqrt(468)*2)*-6)\/((sqrt(32)*-3)\/sqrt(8) - sqrt(100)*5).\nAnswer: -117*sqrt(13)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from cmccmgm.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -7 - 2\/(-3)*3. Suppose 3*q - 9 = -0*q, 5*g - 5*q + 30 = 0. Sort 3, m, g in increasing order.\nAnswer: m, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 9 (c) -4 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75975137?\nAnswer: 7, 1550513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*k**2 + 20*k**5 - 11*k**2 + 9*k**2 wrt k.\nAnswer: 1200*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7\/3 - 31\/12. Which is smaller: -0.5 or y?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, z: 9, m: 2, x: 1, v: 4}. What is prob of picking 1 z, 1 x, 1 m, and 1 h?\nAnswer: 24\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 268.8 rounded to the nearest ten?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -31*q - 1. Let b be 4 - (-4 - -2 - -3). Let j(u) = 30*u + 2. Let d(h) = b*i(h) + 2*j(h). Differentiate d(y) with respect to y.\nAnswer: -33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 8*f**2 + 10*f - 4. Give v(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6732 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 0 - (3 + -2) - 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27896 by 44.\nAnswer: 634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*g*j**4 - 18*g*j**2 + 2*g*o + j**5*o + 6*j**3*o + 3*o wrt j.\nAnswer: 168*g*j + 60*j**2*o + 36*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30316303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -138002*-2\nAnswer: 276004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1712548834.\nAnswer: 2, 9787, 87491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 0, 4, -0.3156, -0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(3\/4)\/y*y\/y**(-3)*(y*y**(-4))\/y**(4\/7) assuming y is positive.\nAnswer: y**(5\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, -0.6, -4, 427, -34?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 139*i - 17*i + 22 - 22.\nAnswer: 122*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - 5 - (-135)\/30)*-1. Let u(x) be the third derivative of 3*x**2 + m*x**3 + 0*x - 1\/6*x**4 + 0. Let h(v) = -v + 1. Calculate 3*h(k) - u(k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 - 1)*(2*n**5 - 2*n**5 - 2*n**5).\nAnswer: 12*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 9*k**2 + 11*k + 5. Let s be y(8). Let q = 55\/2 - s. What is the third smallest value in q, -0.1, -1.6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 82 + -118. Let u = h - -32. What is the biggest value in u, -3\/7, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-21)\/m**(2\/41)*m**(8\/5)*m**(-15) assuming m is positive.\nAnswer: m**(-7062\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*18\/20)\/(66\/(-55)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 835373 is divided by 43965?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 2*b = -10 - 10, 4*l - 5*b = -8. Let f be (1\/l)\/((-4 - -5)\/6). What are the prime factors of (3\/f)\/((-63)\/(-6132))?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-15)*-3*50. Suppose 0 = 2*j + 8, 0 = 2*h - j - j - m. Let g(k) = -15*k - 1. What is the lowest common multiple of g(-1) and h?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v**2. Let w(t) = -301*t. Determine y(w(f)).\nAnswer: -181202*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151 = -4*z + 167 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**3 - 62*o + 116. Let m be s(2). Which is the second smallest value? (a) 3 (b) m (c) -0.49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -137 - -159. What is the remainder when 40 is divided by s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35.22 + -35. Let v = -23.78 - l. Let q = -20 - v. Which is the closest to 1? (a) 0 (b) 5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50459?\nAnswer: 50459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 15814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2. Let y(j) = 89*j - 5. Let w(h) = 666*h - 37. Let o(q) = 5*w(q) - 37*y(q). Give u(o(v)).\nAnswer: -1369*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 10*-4*19\/2470\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4789, 4731, 4635, 4483, 4257, 3939, 3511, 2955?\nAnswer: 2253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000023107319 rounded to seven dps?\nAnswer: -0.0000231","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**3 + 23*m**2 + 26*m - 26. Let z be h(-10). Suppose 2*r = u - 84 - 18, -4*u = -2*r - 396. Calculate the greatest common factor of u and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14135 is divided by 181.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that d**5\/9 + 2*d**4\/3 + 5*d**3\/9 - 16*d**2\/9 - 4*d\/3 + 16\/9 = 0.\nAnswer: -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000021942416 to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -724 - -724.0000001566. Round y to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003960022 rounded to seven dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of v**6\/360 + v**5\/30 - v**4\/24 + 10*v**3\/3 + v**2 + 114. Let s(d) be the third derivative of x(d). Determine s(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -4 + 2 + i**3 + 3*i**2 + 2*i + 3. Let j be u(-1). Suppose -j = p - 3. Solve -2*a - o = 7, p*a + 3*o = -3 - 2 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-24) + (-82)\/(-8). Suppose 3*f = -4*j + 32, 10 = 4*j - h. Suppose 4*s = -2*b + 44, -9 - 47 = -3*b + f*s. Solve 0 = 4*t + t - b for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 216*x + 182 - 37 + 94 + 17 - 28 wrt x?\nAnswer: 216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5.85 and -1308.\nAnswer: -7651.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00017558221 to seven dps.\nAnswer: -0.0001756","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 0 + 278*m.\nAnswer: 278*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 12121131023 (base 4) in base 3?\nAnswer: 10011012120222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 5*r - 349 - 67 = 0, 5*p - 511 = 4*r. Let q(x) = -p + 99 - 2*x. Let h(j) = 15*j. What is q(h(f))?\nAnswer: -30*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29 - -1)\/2*(138\/115 + 189\/180).\nAnswer: -63\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 966\/2415*500\/8?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1637749 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 136 and 238.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5920\/(-185) - 266\/(-8).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 3*f = -f - 42, -i - 3*f = -11. Let u(z) = 10*z + 23. Calculate the remainder when u(0) is divided by i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-534)\/(-144) - 4 - 4\/(-24). Let u = 36 - 36.1. Which is the biggest value? (a) k (b) -0.2 (c) u (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - 8*i. Let p be u(8). Solve 5*o + p*o = -15 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 71 - -5. Suppose -i - 67 + b = 0. Suppose i - 33 = 6*v. Put v, 5, -2 in decreasing order.\nAnswer: 5, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 147 + -95. Suppose 5*j - y = -2. What is the remainder when 96 is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -52*d + 258. Is b(-8) 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 278343 and 3252825.\nAnswer: 1647","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000285094993 to 6 dps.\nAnswer: -0.000285","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 45 + 95. Suppose 12 = s + p, -s + p + 27 = -3*p. What is the remainder when 2*5*(-301)\/q is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -70 by 32313.\nAnswer: -70\/32313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*q**3 + 0*q + 0*q + 0*q.\nAnswer: -28*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 5*a + 0*a)*(22*a + 23*a - 39*a)*(-4*a + 2*a + a).\nAnswer: -12*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -9450 greater than or equal to -9374?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7 (b) 0.05 (c) -2 (d) 4 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 0, 6*r = -2*a + 2*r + 20. Calculate the remainder when 17 is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58 + (60 + -55 - 19).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1635, -3189, -4741, -6291?\nAnswer: -7839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -13) + (-32 - -27)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/3)\/(3 + -4). Let i be (-5)\/(75\/21) - 2\/140*7. Which is the closest to 0? (a) i (b) 2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 minus 23662.800258?\nAnswer: -23668.800258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 3*b + 7158. Let g be 4*19*b\/4. Let s = -23334 - g. Round s to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -51 - 19?\nAnswer: -6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 8. Let h = -1 - y. Suppose 0 = 6*v - h*v - 36. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -733724?\nAnswer: 2934896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - 957\/(-88) - (-55)\/(-8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -49 - -62. Let k = 43 + c. Does 7 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -627 - -386. Let v = u - -411. Is v a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b + b - 35*b**2 - 3*b.\nAnswer: -35*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 12, 20, 28, 36, 44?\n\"Answer: 8*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 179676 by -7812.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 116153 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of 0*u + 0 + 8*u**2 + 0*u**3 + 3\/4*u**4. Let q(b) be the second derivative of b**4\/12 - b. What is m(q(j))?\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaaa when four letters picked without replacement from {o: 3, a: 5}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j - 12. Let d be f(-9). Let m = 18 + d. Which is greater: m or -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 348165?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*(i*i*i**(-8\/7))\/i*i*i\/i**(-15\/7)*i*(i**(-17)\/i)\/i**(1\/13) assuming i is positive.\nAnswer: i**(-157\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(-3*6\/9). Suppose 2*q - 315 + 73 = h. Calculate the highest common factor of 22 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**3 - 2*i**3 + 3*i**3)*(-204 - 123*i**2 + 204).\nAnswer: -246*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 6*y + 8, 5*y + 8 = -o. Calculate the highest common divisor of 3 and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**4\/5 + 377*z**3\/5 - 767*z**2\/5 - 3393*z\/5 + 6822\/5 = 0. Calculate z.\nAnswer: -379, -3, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.06 and 9111 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -w - 5*u - 5, -24 = -3*w - 5*u. Let f(m) = -m**3 - 6*m**2 + 8*m + 1. Let b be f(-7). Let d = -7\/2 - b. Which is smaller: w or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of -2*b**4 + 2*b + 1. Let m(u) = -9*u**3 + 2. Let i = -61866 - -61861. Suppose -n = -6*n + 30. Give i*m(r) + n*h(r).\nAnswer: -3*r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3451 (base 8) in base 4?\nAnswer: -130221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 97621*x**3 - x**2 + 47217*x.\nAnswer: 585726*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 312*v**2 + v + 334*v**2 - 645*v**2 + 554 - v.\nAnswer: v**2 + 554","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11395144 is divided by 9987.\nAnswer: 9964","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-3))\/(6\/(-36)*4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r + 1. Let n be x(6). Let y = n - 4. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 975214 is divided by 243803.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.045 (b) 10 (c) -1 (d) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -23*((-6004)\/38)\/(-79)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-1*sqrt(14))\/sqrt(7) + (sqrt(8) - (sqrt(968) + sqrt(968)*-2) - sqrt(8))\/sqrt(4) + 0)*-5 + -3.\nAnswer: -50*sqrt(2) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -2*t + t - 16, -5*t = 5*h - 60. Let u(y) = y**3 + y**2 - 1314*y + 1312. Let k be u(1). Solve w + h*w + 16 = k for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -608 or 5?\nAnswer: -608","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 125118660 a multiple of 409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l + 5*l - l - 3*l - l + 0*l + 3*l + 0*l - 2*l + (2 + 3 - 7)*(4*l + 2*l - 2*l) - l + 3*l - 3*l + 0*l - 2*l + 3*l.\nAnswer: -9*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -10\/93?\nAnswer: -10\/93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 smaller than 105?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 11\/2 of a gram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 + -0.1. Let n = 231 - 227. Which is the nearest to 1? (a) n (b) -4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 + 29*w - 26. Let v = 12919 + -12891. What is h(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(4\/7)\/((u\/(u**8\/u))\/u))\/(u**(6\/7)\/u**(9\/4)) assuming u is positive.\nAnswer: u**(251\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 2*n + 3*n)*(3*n**2 + n**2 - 2*n**2) + n + 251*n**3 - 494*n**3 + 244*n**3 - 6.\nAnswer: 5*n**3 + n - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/15)\/(j\/(j\/(j\/j**(-2\/37)*j))))\/(j**27\/j*j*j**(5\/8)\/j))**(-8) assuming j is positive.\nAnswer: j**(126743\/555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -49473*m**2 - 593660*m + 5. Calculate u(-12).\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 - 9. Let a be b\/21 + 906\/14. Suppose a + 25 = 5*l. Calculate the smallest common multiple of 18 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.8 - -0.5. Let y = -155\/42 + 27\/7. What is the fourth biggest value in -0.4, 4, g, y?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14848 divided by 2\nAnswer: 7424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.9648 and -1855.\nAnswer: 5499.704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 7*n**2 - n - 5. Let t be j(-7). Suppose 2*l = b + 2, 0*b - b + 5*l = t. Let r(i) = 4*i**2 + 3*i + 2. Is 12 a factor of r(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54233 - 10343 = -3*r - 4*u, 5*u + 25 = 0. List the prime factors of r.\nAnswer: 2, 7, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1588.22 - 1606. Let l = f - 1.32. Let o = l - -19. Which is the nearest to 0.1? (a) -3\/7 (b) -0.3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/10*(-90)\/(-6). What is the units digit of 2 - (-3 + (c - -1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 0.0204, 3\/7 in descending order.\nAnswer: 3\/7, 0.0204, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 - -132020310?\nAnswer: 132020231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1193361 and 278499.\nAnswer: 1443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9942*v + 10018*v = -1064 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56 and 112616?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/27))**(1\/2)*(v**(3\/25)*v)**(-9\/5))**35 assuming v is positive.\nAnswer: v**(-94381\/1350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-46)\/(-14) - 4\/14. Suppose o + o - 69 = -m*n, 3*o - 103 = -5*n. Let k be (-3)\/(-4)*(-8)\/o. Put k, 0.2, 0.5 in descending order.\nAnswer: 0.5, 0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-315945)\/(-3213)*-2*2\/20*-3*1?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 105198876 and 558039.\nAnswer: 105756915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3 - 14364*y**2 + 372450*y - 2418728.\nAnswer: 2*(y - 7156)*(y - 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 254357 + -3?\nAnswer: 254354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 - -14. Let x(h) = -3*h - 4. Let g be x(-8). Let a be ((-6)\/g)\/(m\/(-5)). Which is greater: 1 or a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12725 is divided by 1413.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -4 + -1 - -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, f: 7, w: 6}. What is prob of sequence fh?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(5 + sqrt(112) + (3 + -4 + sqrt(112) - sqrt(112))))**2.\nAnswer: 288*sqrt(7) + 1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -343718, -687387, -1031056, -1374725, -1718394?\nAnswer: -2062063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 3, -3*f + 4*x - 6*x = -4. Is -4 + f - 11284\/8*-2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6407.1 - 6662. Round r to the nearest ten.\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6705? (a) 10 (b) 0.05 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/53 in -0.2, -0.0551, 0.6, 0.1?\nAnswer: -0.0551","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 404?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4233569?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 553*u**2 - 7*u + 6. Let w(t) = -1106*t**2 + 13*t - 10. Give -7*v(s) - 4*w(s).\nAnswer: 553*s**2 - 3*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)*-2*-2 + sqrt(85) + sqrt(85))\/sqrt(5).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92964698?\nAnswer: 2, 499, 93151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {x: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 2*w + 4*a, 18*w = 13*w + 3*a + 19 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 21, -7\/2 in decreasing order.\nAnswer: 21, -1\/3, -7\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -22551 (base 6) in base 16?\nAnswer: -ca3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-1 + -12 - -3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/483 and 64\/9?\nAnswer: 1449","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -21 + 0?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.2564 and -0.4?\nAnswer: -1.30256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 9 = 3*u, 3*j + 3*u - 13 = u for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 7. Let m = 7 + -7. Let p(d) = d**2 + m*d**3 - 6 - d**2 - d**3. Let f(c) = -5*c**2. Let b be f(1). Calculate b*w(h) + 6*p(h).\nAnswer: -h**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 - -3. Suppose -5*v - 5*z + 27 = -3*v, -66 = -3*v + z. Calculate the remainder when 1527\/v - 12\/(-42) is divided by q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -77*u**2 - 28 - 72*u**2 + u**4 + 0 - 469*u**5 + 30 wrt u?\nAnswer: -28140*u**2 + 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3 - 13836*d**2 + 110496*d - 220864.\nAnswer: 4*(d - 3451)*(d - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3270)\/327)\/((((-1)\/6*-3)\/1)\/(-1)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.98 + 4. Let j = 0.183 + p. Let b = 0.2 - j. What is b rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xi when two letters picked without replacement from {i: 3, x: 5, z: 5}.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4762, -19495, -44048, -78421, -122614, -176627, -240460?\n\"Answer: -4910*w**2 - 3*w + 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11\/2 of a century?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 484540825 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*z + 6362 = -446. Let i = -272 - z. Calculate the greatest common divisor of i and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/59 - 113\/295. Which is the closest to 0? (a) -0.5 (b) x (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 136.302 and 23095?\nAnswer: 22958.698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 93940 - 17003188\/181. Let q = 1841\/19910 + o. Let v = -5\/22 + q. Which is bigger: v or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 664625 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -40*q**2 - 7*q. Let i(v) = -41*v**2 - 8*v. Let r(j) = -7*d(j) + 6*i(j). Is r(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 6, i: 2}. Give prob of sequence io.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - 0. Let a(c) = -3*c - 5. Determine a(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-2) + (-3)\/(-6)*3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (2\/(-10))\/((-24)\/(-40)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 9*r = -20. Let c be (-10)\/r*(-12)\/(-15). Let n(k) = 3*k**3 - 2*k**2 + 1. What is the tens digit of n(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -386*w**3 - 28 + 5 + 28 + 389*w**3 - 5.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6709855 and 29965.\nAnswer: 2305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 22444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-8) - (-42)\/8. Suppose 18 = o*z - 0*z. Suppose z*j - 19 = 17. Solve 4*a = -0*a + j for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b**2*o**2*z + b**2*z + 67*b*j*o*z - 5*b*j + 4935*j*o**2*z - j*z + o wrt o.\nAnswer: 2*b**2*z + 9870*j*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 468881329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 2. Find the third derivative of 11*n + n**2 - i*n**4 - 11*n wrt n.\nAnswer: -72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1528*i**2 + 1126*i**2 + 76 - 76 + 1338*i**2.\nAnswer: 936*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2 - -3*(-7122)\/72)*-8.\nAnswer: 2, 5, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -971, -753, -533, -311, -87, 139, 367?\n\"Answer: p**2 + 215*p - 1187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1198 - 2538. What is d rounded to the nearest 100?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 22.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 113*q + 4633. What is x(-41)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.2, -4, 1\/2, 25, -2, 2\/97?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/11 (b) 2\/7 (c) 4\/5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of -4*o + 0 + 2\/3*o**3 + 9\/2*o**2. What is the derivative of f(r) wrt r?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of (-324)\/18*(1120\/3)\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 191*h**2*i**3*o - h**2*i*o + 47*h*i**3*o - h*i*o - 10*i**3 wrt h?\nAnswer: 382*i**3*o - 2*i*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8968 and 1297528.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of g**5\/60 + g**4\/4 - g**3\/6 + 2*g**2. Let k be b(-7). Let r be k\/(-10) + (-72485)\/25. Round r to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 54*b. Let t(a) be the third derivative of -a**4\/8 + 43*a**2 + a. What is h(t(q))?\nAnswer: -162*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 49*c - 324. What is u(8)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9.2 + -7. Let p = -0.65 - -1.65. Is q smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/2 + ((-50)\/20 - 1). Let z be -2*((-5)\/4)\/5. Factor z*f**2 + 0 + p*f.\nAnswer: f*(f + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49*x**3 + 24*x**3 - 72*x**3)*(3*x - 9*x + 105*x).\nAnswer: -9603*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 53912?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 14 and 372983.3928.\nAnswer: 372997.3928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a day in hours?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(891) - (-1 + sqrt(891))) + (0 + sqrt(11))*5)*3.\nAnswer: 3 + 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 78 and 93.\nAnswer: 7254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41 - 78. Let t = -62 - x. Let n = -17 - t. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 465 and 6510.\nAnswer: 6510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29691 and 11635573.\nAnswer: 3299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, j: 3, u: 1}. Give prob of picking 1 u and 1 x.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b2a7 (base 12) to base 7.\nAnswer: -225040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1210778899?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 0.0891?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(1573) - (1 + sqrt(1573) - sqrt(1573)))*-2)**2 + (sqrt(1872)*2 - sqrt(13))*4 + 5.\nAnswer: 4*sqrt(13) + 6301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - o = 0, -5*o - 9 + 9 = 4*f. Sort 3, -1, -5, f, 18 in descending order.\nAnswer: 18, 3, f, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/3 (b) 5 (c) 2 (d) 2.66 (e) 2\/13 (f) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 - t - 1. Let q(i) = 2*i**2 - 3*i + 4. Determine -3*d(g) + q(g).\nAnswer: -g**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/2 + 89284*n - 3985816328.\nAnswer: -(n - 89284)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + g + 4. Let v(z) = 3863*z**3 + 127*z + 35. Let b(c) = 18*d(c) - 2*v(c). What is the second derivative of b(u) wrt u?\nAnswer: -46464*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12805 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -12*n + 4*q, -9*n - 2*q - q + 3 = -15*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4*z = 10, -5*z = 5*k - 69 + 19. Suppose 3*s + 5*i - 801 = 0, k*s = s + 5*i + 1033. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59561683?\nAnswer: 59561683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 566811 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 143 by -94008.\nAnswer: -143\/94008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -6477296 divided by 5362?\nAnswer: -1208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 92.01 + -90. Let g = r - 0.01. Sort -4, 4\/7, g in increasing order.\nAnswer: -4, 4\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21eb (base 16) in base 9?\nAnswer: -12817","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 56056262 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 1986.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of -12*u**5\/5 + 8*u**4 + 860*u**3\/3 + 128*u**2 - 560*u + 1214. Let f(q) = 0. What is q?\nAnswer: -7, -1, 2\/3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 7:25 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1193275, 2386590, 3579915, 4773256, 5966619?\nAnswer: 7160010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 3 + 19 = 0, 5*r + 3*z - 1182 = 0. Suppose 0 = x - 4*n - 113, 5*x - r = 4*n + 283. Do 103 and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*n = 4881 + 37344. What are the prime factors of n?\nAnswer: 5, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.08+-6567029\nAnswer: -6567029.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -164? (a) -3 (b) -1\/22 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1148\/(-13776) + 478\/(-24)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5210 + 126936. Let b = -53750 - p. Let f = 62476 + b. What is f rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**3 + 19*g**2 + 113*g - 47. Let i be u(21). Is i\/(6\/(-14 + 8)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -33*j**3 - 38*j**2 - 12*j - 4. Let d be f(-5). Calculate the highest common factor of 9 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*f**3 - 31*f**3 - 25*f**3 + 92*f**3 - 29*f**3.\nAnswer: -52*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 355*l + 786*l + 948*l + 486*l - 1917*l.\nAnswer: 658*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from olbo. What is prob of sequence oblo?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one tenth of a kilogram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 10*u + 6. Give v(-10).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 + -3 - 67\/(-3))*6. Let n = 241 - o. Does 10 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13727*k - 52850 = 12972*k for k.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -3*v - 35. Let k be j(-13). Let 6*z + 10*z + 0*z**2 - 16 + k*z**2 - 4*z = 0. What is z?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11137988 is divided by 1178?\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 1 = 4, -2*s + 282 = 4*i. Calculate the remainder when i is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-175)\/(-75)*(-1 + 4). Let x(f) = -f - 24. Let h be x(-16). Let s(l) = -2*l - 9. Let a be s(h). Is v at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 3\/5, 0.4, 4\/97 in decreasing order.\nAnswer: 3\/5, 0.4, 4\/97, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -644 = -15*c - 794 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a second in milliseconds?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -0.21, 2.5 in ascending order.\nAnswer: -0.21, 1\/4, 2.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2773693 by 3.\nAnswer: -2773693\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (sqrt(170)*2)\/sqrt(10))*5.\nAnswer: -5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*j = -21*j - 5*y - 20, j - 2*y = 8 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j + 2. Let r be v(2). Let d(q) = -q**3 - q**2 + 3*q + 3. Let p be d(r). Is (2 + 10 + -1)\/p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3220 + 30300103?\nAnswer: 30303323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 1:07 PM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = 4*z + 316. Let o = z + 551. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 520071*3.\nAnswer: 1560213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u\/(u*u\/(u\/u**19)))\/u*(u**(-2\/39)*u)\/u)**(8\/3))**(-18) assuming u is positive.\nAnswer: u**(11888\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 3. Suppose -4*j = 3*k - 7*k - 180, 2*k = 3*j - 134. Let z = 53 - j. Solve 2*s - u + r*u = -5, 3*s + 5*u = -z for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5120115 and 1089?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*4\/(-36)*0\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 + 5*w + 15. Suppose 2*c = 3*p + 3*c - 26, 24 = 2*p + 2*c. Let z be x(p). Is 1 > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3. Let g(l) = -4*l**3 - 5*l + 1. Determine -g(s) - v(s).\nAnswer: 3*s**3 + 5*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 277.276 + 2.724. Is -0.1 less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8840201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -373*y**2 - 711*y + 375*y**2 - 11 + 10 as w*y + s*y**2 + p and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + s - 4*w = 24, 3*s = w + 16. Solve -5*l = -5*n + 25, -4*l + s*n - 11 = 11 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: 47059 divided by -1834\nAnswer: -47059\/1834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 + -8 - -2) + -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 162*b**4 - 252*b**3 - 622*b**2 - 232*b - 24.\nAnswer: 2*(b - 3)*(b + 1)*(9*b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 210 + 9*s**4 + 10*s**2 - 2*s + 3*s**2 - 11*s**2 + 30*s**4 - 54*s**4 to the form y*s**3 + l*s + t*s**4 + c + i*s**2 and give c.\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, x: 5, c: 3, o: 6, a: 1, g: 2}. Give prob of sequence gcar.\nAnswer: 1\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -436 greater than -408?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2243070*n - 123009 = -2242131*n for n.\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.4 or 33327?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence my when two letters picked without replacement from {m: 2, k: 6, n: 3, y: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67339713, -67339721, -67339729, -67339737, -67339745?\nAnswer: -67339753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 - 11 = -6*t. Let s(b) = t + 7*b - b + 7 - 5*b. What is s(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((0 + 6)*20\/(-8))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 (base 6) in base 5?\nAnswer: 1124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/1 + 363 + (-1 - -3). Suppose -29 = -7*m + h. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 192 - 272. Let b = 80 + j. Suppose b = 3*k - 142 - 413. List the prime factors of k.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/4 and (-2)\/(40\/15) - 8\/(-22).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -391875345 divided by -78375069?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v. Let h(p) = 2*p - 1. Let r(w) = h(w) + 5*s(w). Determine r(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39208 and 845.\nAnswer: 196040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 + 9. Calculate the common denominator of f\/10 + (-266)\/(-48) and 11 + (2 - 1) - 5278\/696.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 666230?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.33142909 rounded to 3 dps?\nAnswer: 0.331","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 290284 and 2201.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10285 is divided by 1714.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 4. Let v(j) = -5*j - 5. Let l(y) = -14*y - 14. Let k(m) = 4*l(m) - 11*v(m). Give k(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -2*m**3\/9 - 1042*m**2\/9 - 145078*m\/9 - 2394038\/9 = 0.\nAnswer: -251, -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 40759485.8 rounded to the nearest 1000000?\nAnswer: 41000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 555.729g?\nAnswer: 0.000555729","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*q*r*w + 5119632*q*r + 3697611*q*w - q - 2*r*w wrt w.\nAnswer: -3*q*r + 3697611*q - 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 11*w**2 + 18*w - 37. Is z(16) a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + -1. Let m = -0.6 - w. Let v = 0.03 - 0.53. Sort m, -2\/3, v in ascending order.\nAnswer: -2\/3, v, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2451699875769 take away 1.4?\nAnswer: 2451699875767.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/(-9) - (-2)\/2. Let w = -163 + 166. Let p be (-5)\/15 - 10\/(-18). What is the nearest to p in 0, h, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 269571890.\nAnswer: 2, 5, 7, 17, 226531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119098 - 119098 + 5417*v**3.\nAnswer: 5417*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*f + 38*f + 41*f + 227*f.\nAnswer: 351*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*s + 1580 = 3920. Solve s*t + 660 = -80*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96)\/(sqrt(12)*-2) + (sqrt(800) - sqrt(800)*1) + sqrt(8))\/(sqrt(144) - 4*(sqrt(144) - (sqrt(144) + sqrt(144)*-2 + sqrt(144))))*6)**2.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - j - 5 - 2, 2*q = 2*j + 2. Let i(x) = x**2 + 49*x + 234. Let p be i(-44). Sort p, 5, q in decreasing order.\nAnswer: p, 5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 5*n - 119, 2*t + 27 - 113 = 5*n. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -1\/10 (c) 1\/2 (d) 340\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.11962 times -3182\nAnswer: -380.63084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = m + 4, 3*s + m + 9 = 0. Let t = s - -18. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4062*y - 4483*y = 27365 for y.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddd. What is prob of picking 4 d?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/30*3*(-104)\/130\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20134 + 19791.92. Round y to the nearest 10.\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*a**2 + 248 - 248 + (3*a + a - 2*a)*(-6*a + 4*a + 4*a) + a**2 + 2*a - 2*a - 2*a + 2*a + a**2 + 3 + a**2 - 3 + (-6 + 6 + a)*(2*a - 3*a - a)*(3 + 3 + 0).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10339548?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -17 and -1.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of n**4\/30 - 29*n**3\/3 - 444*n**2\/5 - 7236*n. Factor w(c).\nAnswer: 2*(c - 148)*(c + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -74 + 111. List the prime factors of o.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*w = -336 - 124. Solve -w = 3*m - 8*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-13) - (349920\/(-5980))\/8. Which is greater: 6 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 5\/2*i**2 - 95\/2*i = 0.\nAnswer: 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + y = 18, -225 + 224 = d - 2*y. Solve -2*w = -d*v + 4*v + 15, 2*v = 4*w + 10 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -171*r + 171*r + 0*r**2 - r**2. Let t(c) = -27*c. Give y(t(o)).\nAnswer: -729*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 843510144.\nAnswer: 2, 3, 2196641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 - 2.1. Let n = 1.5 + w. Let l = n - -0.6. Is 2\/5 at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.24 + 3.24. What is the nearest to 1 in 4, 0.07, d?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 - -27. What is the biggest value in -1\/3, k, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -2*j**2\/13 - 16998*j\/13 + 17000\/13 = 0.\nAnswer: -8500, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/3)\/(t\/(t\/t**8)))\/(t\/(t*t**(-1\/3)*t*t))**(2\/43))**(-1\/3) assuming t is positive.\nAnswer: t**(104\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of 1\/4*w**4 + 0*w + 0 + 1\/15*w**5 + 34*w**2 + 5\/6*w**3. Give b(-4).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1 - 3*r - 2 - 1 - 7*r wrt r?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 10 + 30 = 0. Let u(z) = -33*z - 10 + 21*z + 3*z**2 - 4*z**2. List the prime factors of u(y).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2293, -8684, -19357, -34318, -53573, -77128?\n\"Answer: -j**3 - 2135*j**2 + 21*j - 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of a**3\/3 - a**2\/2 - a + 5. Let u(x) = 3. Let w(o) = -3*s(o) - u(o). What is k in w(k) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 11. Let o be s\/2*6\/(-4). Suppose 3*j - 7*j = -20. Solve 0 = -4*r, o*h + 10*r - 6 = j*r for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -998*i + 1001*i = 132. Let n be (0\/2 + -1)*-4. Suppose 5 = -t, 3*b + n*t - 18 = -i. What is the third smallest value in -0.3, 0.2, b?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-5) - 6\/4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12333 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 204061 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -28.05 * 35.\nAnswer: -981.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + 52. Suppose 12*d = 17*d + b. Let v(t) = -t**3 - 7*t**2 + 11*t - 16. Is v(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/6 and 67\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -6*d + 32. Let g be m(5). Let f(x) = -x**3 + x**2 - 2. Give f(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -948, -1873, -2774, -3651, -4504, -5333?\n\"Answer: 12*h**2 - 961*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = z - 4*m - 26, -4*m = 4*z + 4 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -3*r - 4. Let z(d) = -d - 1. Calculate -2*n(w) + 7*z(w).\nAnswer: -w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6, 21, 46, 81, 126?\n\"Answer: 5*v**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3}. What is prob of picking 3 b?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 86751 and 4284?\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -4412*m. Let v(f) = 9*f**2. Determine x(v(i)).\nAnswer: -39708*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3*n - 2*m + 15 = 0, -3*n + 33 = 3*m. Let w(i) be the first derivative of -1\/3*i**3 - 48 + 5\/2*i**2 + 2*i. What is w(n)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -226027211.41339717 - -224384082.423397. Let g = s - -1643129. Let x = g - 0.01. What is x rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - 510?\nAnswer: -515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 2*p = -3*p, -5*u + 25 = 5*p. Let t be -7 + 78\/12 - (-6)\/8. Which is bigger: u or t?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15\/64 + 1\/64. Which is the nearest to -1.1? (a) w (b) 1 (c) 0.16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -278*b**2 + 570*b**2 - 292*b**2 - 496*b**3.\nAnswer: -496*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 72, 93, 116, 141, 168, 197?\n\"Answer: x**2 + 18*x + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of k**5\/10 - k**4\/4 + 4*k**3\/3 + 2*k**2 - 16*k. Is 11 a factor of c(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26.7 + 28.7. Let f = 0.14 - 0.09. Let v = f + -0.45. Which is the fourth biggest value? (a) v (b) -5 (c) o (d) -0.14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + 5\/(-10) + -3)\/((-4)\/128). Let y = -10 - -56. Suppose 3*l = -6, -6*d + 3*l + y = -2*d. What is the highest common factor of d and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 88*f**2. Let x(z) = 3*z + 5. Let s(w) = -2*w - 3. Suppose r - 3 = -m + 3*r, 4*r = -12. Let l(d) = m*x(d) - 5*s(d). What is l(t(v))?\nAnswer: 88*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7276511 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2301791382?\nAnswer: 2, 3, 11, 739, 15731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*23*(-5 + 4). Let s = -44 - p. What is the highest common divisor of 46 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ewo when three letters picked without replacement from owwooeeoxs.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -247.312 rounded to the nearest 10?\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31.125 - 33.125. Which is the nearest to 2\/9? (a) -3 (b) p (c) 8\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 252477803?\nAnswer: 1103, 228901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -2 + 4 + 1 + -3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22043214.\nAnswer: 2, 3, 307, 3989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.02 (b) 1 (c) -0.3 (d) 4\/121\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -47 in 37, -2\/7, 4, 2\/9?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) -1\/4 (c) 1 (d) 35 (e) -0.08\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 102 and 220?\nAnswer: 11220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -128, 5, 3 in descending order.\nAnswer: 5, 3, 0, -4, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -1 - 3*d**2 + d**2 + d**3 - d - 3*d**2. Let t be 20*5\/(-20) - -5*2. Determine q(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 187, 372, 559, 754, 963, 1192, 1447?\n\"Answer: t**3 - 5*t**2 + 193*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -493963.093298 - -1.093298. Let c = r - -493862.9836. Let j = c + 99. What is j rounded to 3 decimal places?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187855 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - s + 8, t + 2*s - 7 = -0*s. Suppose 10 = 2*q - t*q. Let w be 2*5*(-24)\/q. What is the greatest common factor of w and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4280162137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -37*k**2 - 3*k + 7. Let x(s) = 56*s**2 + 5*s - 11. Determine 8*i(d) + 5*x(d).\nAnswer: -16*d**2 + d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 7*t**3 - 6*t**2 - t. Let n(s) = -6*s**2 + 11*s**2 - 6*s**3 + 0*s**3. Let c(y) = -5*d(y) - 6*n(y). What is the second derivative of c(l) wrt l?\nAnswer: 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 106 by 106.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of b**6\/360 + b**4\/3 - b**3\/3 + 21*b**2\/2 - 184. Let a(n) be the third derivative of r(n). Let v(d) = -d**2. Give a(v(k)).\nAnswer: k**4 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of 0*x**3 + x + 1\/12*x**4 + 0*x**2 + 0. Let w(r) be the third derivative of -5*r**4\/24 - 6*r**2. What is z(w(a))?\nAnswer: 25*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 3*f - 1552 - 181, -l = -4*f + 2326. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of -19259*y**5\/4 + y**4\/3 - y**2\/2 + 2*y. Let w be t(-3). What is w rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(88)\/sqrt(4)*-3)\/(-1*sqrt(1331)).\nAnswer: -18*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 48*l - 81*l + 34*l + 41. Let q = 3 - 21. Let h be x(q). What is the greatest common divisor of 115 and h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000122024485 to seven decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 2)\/1 - 453\/(-9). Let v = r - 53. Is v at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22820.985 milliseconds to minutes.\nAnswer: 0.38034975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + 4*g**2 - g - 1. Let w(n) = -n**3 + 3*n**2 - n - 1. Let r(h) = 3*c(h) - 4*w(h). Let d be r(0). Does 18 divide d + (-17)\/((-1)\/1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 250009390.\nAnswer: 2, 5, 41, 609779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1351, -2604, -3857, -5110, -6363, -7616?\n\"Answer: -1253*a - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.7+-1062120540\nAnswer: -1062120539.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72 (base 8) to base 6.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001101100101 + -10111?\nAnswer: -1001101111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 11:03 AM?\nAnswer: 10:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*p + 2*p**4 + 2*p**4 - 6*p + 2*p**4 - 2*p**4 - p**4 + (0*p - 5*p + 4*p)*(0*p**3 - 2*p**3 + 0*p**3) - p**4 - p**4 + 3*p**4 + 4*p**4 + 3*p**4 - 6*p**4.\nAnswer: 7*p**4 + 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ca when two letters picked without replacement from dcacccctxt?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3 - 22*o**2 + 89*o - 68.\nAnswer: (o - 17)*(o - 4)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*v + 4*v - 2*v)*(2 - 1 - 5) + (3*v + 2*v - 8*v)*(0 - 2 - 2) as c*v + s and give c.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33172?\nAnswer: 2, 8293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, h: 5}. Give prob of sequence zhh.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s - 8*s - 14 + 14.\nAnswer: -7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 7, q: 7}. Give prob of sequence ttqq.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + 3)\/(-6)*-2. Let q be (-1 - -6)*4\/115. Let l = q + -22\/391. What is the closest to 0 in l, d, -6\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9253*h**2*x + 2*h**2 - 3*h*x - 3*h - 15885*x + 4 wrt h.\nAnswer: 18506*h*x + 4*h - 3*x - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 634848233.\nAnswer: 634848233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*j + 100 + 540 = -25*j for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - 9*t**2 + 9*t - 4. Let y be z(8). Let k be (y\/12)\/(4\/(-18)). What is the closest to 0 in 0.2, k, -1\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1290430, -2580846, -3871262?\nAnswer: -5161678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2792, -5520, -8184, -10784, -13320, -15792, -18200?\n\"Answer: 32*u**2 - 2824*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18378 and 306.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 912377908?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11.06 - 0.06. Let o = -17 - t. Which is the nearest to -2\/5? (a) 0 (b) o (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -574478 (base 13) to base 2\nAnswer: -111111000011000100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20*39181.62.\nAnswer: 783632.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 79008 + 0\/(-5)*1. Suppose 0 = 4*s - 6 + 14, -5*a - 4*s - v = 0. What is a rounded to the nearest one thousand?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1857500.91ms to days.\nAnswer: 0.021498853125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -323 + 43 = -5*v. Is 14 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*y + 67*y - 32 = 0. Suppose 0 = -y*f + 27*f - 28773. What are the prime factors of f?\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 624831?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of 1\/1575*j**7 + 1\/180*j**6 - 32*j**2 + 0 + 0*j - 7\/450*j**5 + 2\/15*j**3 - 1\/36*j**4. Suppose q(k) = 0. What is k?\nAnswer: -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**3 - 40*r**2 + 126*r + 37. Determine b(16).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 + -21. Let d = -59526914.9999948 - -59526876. Let r = v - d. What is r rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1265330 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (980\/(-784))\/(-6 + (-1302)\/(-216)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15*39\/(-65) + -887. Is o < -895?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -71 - -40. Let k = 32 + d. Let t be (-3)\/(-6) + (2 - 0). Which is the nearest to k? (a) t (b) -2\/7 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1908 and 15574898?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**4 - 6*t**3 + 2*t**2 + 6*t = 0. What is t?\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(7)*3*5 - (4*sqrt(28) + 0).\nAnswer: 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -898681.5062 - -898583. Let u = -7.509 - v. Let g = u - 91. Round g to four decimal places.\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 3 - 6)*(202782 + 2612*x**3 - 202782) to p*x**2 + j + y*x + i*x**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 272218*u**3 + 2*u**2 - 897*u - 45 wrt u?\nAnswer: 1633308*u + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 85 + 12. Suppose 363 + i = 5*a. What are the prime factors of a?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -24397 >= -24394?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -15886.55 * -0.13\nAnswer: 2065.2515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-21)\/(-4))\/(6 + (-66663)\/11112)?\nAnswer: 2, 7, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6213?\nAnswer: 3, 19, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t**3 - 16*t**2 + 27*t - 398. Determine c(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-288)\/(-64)*(117854\/21915)\/((-1)\/5)?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*b, -n + 2*b + 19 = b. Suppose 4*x + 6 = t - n, -5*t + 97 = 3*x. Let r be t\/(-25) - 8\/(-10). Solve r = 5*m - 0*m - 10 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -3*l**2. Let y(w) = 7*w + 18. Let m be y(-3). Let x(b) = 54*b - 7. Let c(o) = -28*o + 4. Let f(z) = m*x(z) - 5*c(z). Determine t(f(k)).\nAnswer: -1452*k**2 + 132*k - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21 + 12010012231?\nAnswer: 12010012312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -5. Suppose 33 = -t*v + 3*v. Suppose -v - 33 = -4*r. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 312\/234*(-1551)\/188*5\/3.\nAnswer: -55\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -24? (a) 2\/15 (b) -0.0186 (c) -2 (d) -0.4 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 62646390 to the nearest integer?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 42 = 4*r, -4*r + 1 + 11 = 4*t. Let j(p) = 16*p - 132. Let a be j(r). Is 15 greater than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 5 = 3*h, -13 = -h + 3*z - 2. Suppose 3*o - g = h*o, 4*g = 5*o - 26. Let b(n) = -5*n - o*n + 0*n. Let r(a) = a. Determine b(r(u)).\nAnswer: -7*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1881*m = -1841*m - 5*p - 40, 3*p - 34 = -5*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**4 + 60*t**3 - 252*t**2 + 196*t.\nAnswer: -4*t*(t - 7)**2*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 6*z = 510. Let q = z - 28. Calculate the highest common factor of q and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*l**2 - 26032*l + 1179540 = 0. What is l?\nAnswer: -6553, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 43 + 3 + 2 + 1. Suppose 0 = -4*v + q - 9. Suppose -3*z = 5*s + 2, -z = 3*s - 4*s - v. 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: Evaluate 2 - (7 + -5) - -5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of -5*d**4\/3 + 26*d**3\/3 + 12*d**2 + d + 9. Let v(x) be the first derivative of r(x). Let v(q) = 0. Calculate q.\nAnswer: -2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5911.524 litres?\nAnswer: 5911524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 1. Let c(m) = m + 8. Let q(y) = c(y) - 6*i(y). Let f be (16\/6)\/(-4)*-6. Suppose -f*d = -d. Determine q(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**26)**6\/(((b\/(b**(-8\/3)\/b))\/b)\/b**37) assuming b is positive.\nAnswer: b**(568\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 269117461?\nAnswer: 269117461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77426171?\nAnswer: 389, 199039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -10190.\nAnswer: 1\/2038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/6 and -11\/204.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4033108 divided by 1008277.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30571 is divided by 208.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 1\/3 (c) 1\/5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-1*(-1 + (sqrt(720) + 0 - sqrt(720)) - ((0 + sqrt(720) + -2 + sqrt(720) - sqrt(720)) + sqrt(720))))**2.\nAnswer: -48*sqrt(5) + 2877","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1187 is divided by -507*(114\/(-18) + 6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1359.48 to the nearest ten.\nAnswer: -1360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16904218 and 17926.\nAnswer: 16904218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p + 6. Let f be c(-5). Let v = 2 - f. Solve -3*u - v = -0*d + d, 5*d = -2*u + 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4939 is divided by 1636.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 381*b**4 - b**3 + b**2 - 1070*b wrt b?\nAnswer: 9144*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9*(-12)\/702 - (-15)\/13. Let j(r) = 10*r + 1. Determine j(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -12 + -103?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -2\/3 (b) -3\/4 (c) -1\/7 (d) 319.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6038825 + -a?\nAnswer: -6038834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k + t - 13, -21*t + 22*t = -2*k + 7 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26770934 is divided by 2182.\nAnswer: 2158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 AM and 3:23 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n**2 + 1129*n + 114. Let w(y) = 6*y**2 + 3386*y + 370. Determine -13*d(a) + 4*w(a).\nAnswer: -2*a**2 - 1133*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z + 3. Let r be a(-3). Let s = r - 2. Let c be (77\/(-3))\/(1\/(-3)). Calculate the greatest common factor of s and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -6 + 45 + -26?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 k when three letters picked without replacement from ikoi?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 38953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2259.\nAnswer: 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2105, 4271, 7155, 10763, 15101?\n\"Answer: v**3 + 353*v**2 + 1100*v + 651","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1583?\nAnswer: 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -470 - 9*o**2 + 125 + 215 + 130.\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*c + 7*c**3 - 25*c + 24*c)*(-1 - 5 + 5)*(0*c + 0*c + 3*c) to the form o*c**3 + a*c + l*c**2 + t + n*c**4 and give n.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*g**4 - 19*g**4 + 3*g**4 + (2*g - 2*g - 2*g**2)*(-3 + 3 - 2*g**2).\nAnswer: -6*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -3*q + 345, 4*q - l - l = 460. What is the highest common divisor of 391 and q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -121 + 139. Let t(l) = -l**3 - 5*l**2 + 6*l + 5. Let u be t(-6). Suppose u*y = b + b - o, -b + 6 = -y. Solve 5*z + 9 = 4*c - 4, 3*z + 11 = b*c for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 2*t - 4. Calculate the highest common divisor of t and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-1*(-2)\/(-4)*4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8315*l**3 - 2099*l**3 - 6217*l**3.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 23*v + 36. Let l(j) = -13*j - 18. What is -7*l(g) - 4*w(g)?\nAnswer: -g - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 f when four letters picked without replacement from {u: 2, c: 1, f: 2, g: 4, n: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u + 9*u**2 - 11*u**2 + 2*u**2 + 2*u**3 + 29*u**3 to k*u**2 + d*u + y + j*u**3 and give j.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*r + 4*r + 6*r - 34*r.\nAnswer: -113*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 427 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9018 and 33?\nAnswer: 99198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (5 + (2 + (sqrt(931) - (1 + sqrt(931))) - (-5*2*sqrt(931) + sqrt(931))))**2 + -2)*-2.\nAnswer: -150888 - 1512*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.14 - 0.86. Let f = -4 + 3. Sort f, 0.5, j.\nAnswer: j, f, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/5)*(l*(l*l*l**6)\/l)\/l)\/((l*l**1)\/(l\/l**(-7)*l)))\/((l**(1\/3)*l*l)\/(l**(2\/17)\/l))**(47\/3) assuming l is positive.\nAnswer: l**(-28136\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of ((-8)\/(-10))\/(44\/62700)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 20*r - 23*r + 46, -2*t - 5*r = -45. What is w in -21\/2*w + 12*w**4 + 6*w**3 - 9*w**2 - 3 + 9\/2*w**t = 0?\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 652 divide 13337992?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**3\/5 + 221982*k**2\/5 = 0.\nAnswer: -110991, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -81903613 - -295?\nAnswer: -81903318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 102 + 1098. Calculate the least common multiple of 75 and v.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.881936648 rounded to three dps?\nAnswer: -0.882","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -262*x - 670 + 4549 = -1361 for x.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 4*g = 22, -i - 93*g + 4 = -95*g for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*0.217\nAnswer: -0.1085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 + 80. Let g be c\/8 + (-1)\/4. Suppose -36 = -4*o + g. List the prime factors of o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -137\/3 - -413\/9. Let t be 22680\/(-57) - (-1 + -1). Let o = t + 396. Which is the second smallest value? (a) o (b) -4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33294, 133500, 300512, 534330, 834954, 1202384, 1636620?\nAnswer: 2137662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 29 = -3*u + 3*z, 0 = 4*u + z - 41. Let g = -2 - -2. Let a = 0 + g. Solve -4*t + 6 + u = a for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/3)\/((1072\/95140)\/(3\/((-15)\/2)))?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (10\/(-15))\/(2\/3). Let h be -4 - (-1 + -1*(g - -3)). Which is greater: h or -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 30 = k, 5*q - 30 = -k - 0*k. Let p(f) = f**2 - 2*f + 6. Let u be p(q). Suppose 8*z - 13*z + u = 0. Which is greater: z or 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**2 - 3*n. Let v be i(2). Suppose -v*g = -g. Solve g = -a - 3*a - 20 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 3*f = -8, -u - 5*f = -5*u + 16. Suppose -7*w + 2*w - 1441 = -u*n, 3*w - 1433 = -4*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 18 = 3*s, a = 4*a - 9. Let d = 22 + -89\/4. Let f = 9 + -9.4. What is the smallest value in d, f, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -1226*g - 175. What is the tens digit of y(-19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1666113, -3332227, -4998341, -6664455, -8330569?\nAnswer: -9996683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y + 12*y**4 - y**2 - 11*y**4 - 2*y - 10*y**3 in the form p + m*y**2 + a*y**3 + t*y + u*y**4 and give a.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 101892 divided by 3639?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/8 in 0.06, -160, -96\/11, 3, -1\/2?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 767 - 4?\nAnswer: 763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3528 - 53471?\nAnswer: -57110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -3*j - 15. Suppose -2*n - 4*o = -10, 20 = j*o - 2*o. What is the nearest to 2\/3 in n, -0.4, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 234 = -7*r. Suppose -3*j + 4*g + 52 = -0*j, -3*g + 36 = 4*j. What is the lowest common multiple of (-4)\/(-2)*1 + -32 + r and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 4*f**3 + 2*f**2 - 10*f + 4. Let m(y) = -y**3 - y**2 + 3*y - 1. Let u(o) = 7*m(o) + 2*z(o). Let j be u(3). Suppose 0*g = j*g - 8. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -25*t + 38899 + 201141. List the prime factors of t.\nAnswer: 2, 17, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/((4 - 1)\/6). Suppose 4*o + t*j = 7*j + 27, 5*o + 3*j = 80. List the prime factors of o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*n - 3*a, -4*n + 2*a + 3 = -a. Let f = 3 - n. Let 1\/4*o**2 - 3\/4*o**4 + 0*o + 0 - 1\/2*o**f = 0. What is o?\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g + 2. Let n be o(8). Suppose 0*t + n = -5*t. Is t\/(-7) - (-887)\/7 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6)\/12 + (-9681)\/(-14).\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of -7*d**6\/135 - d**5\/10 + 2*d**4\/9 + 4*d**3\/27 + 3*d. Find y such that z(y) = 0.\nAnswer: -2, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times -1062?\nAnswer: -6372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 AM and 3:53 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14110752 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 28, 29, 32, 37?\n\"Answer: q**2 - 2*q + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7649 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2200 and 4675.\nAnswer: 37400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 26793894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 35503174 divided by -17\nAnswer: -2088422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.12 + -6.88. Let h = 0.4 + 18.6. Let s = -19.2 + h. Which is the second smallest value? (a) t (b) s (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -37*f**2 + 168.\nAnswer: -74*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (93\/(-62))\/((-20)\/10)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d - 1. Let k(a) = 6 + 0*a - 3 + 0*a - 4*a. Give 2*k(i) + 6*z(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 4 + 12 = 0. Is (-646)\/(-4) - (-4)\/l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-y**3 - 3*y**3 + 2*y**3)*(63 - 27 - 33) as g*y**2 + m*y**3 + s*y + u and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*t**3 - 3*t**3 + 0*t**3)*(-3*t + 2*t - t) + 2*t**3 + 383*t**4 - 1 + 464*t**4 - 1177*t**4 + 2*t to l*t**2 + j + n*t**3 + a*t**4 + d*t and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -29172?\nAnswer: -29173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 10\/3*p + 0 + 3*p**2 - 1\/3*p**3 = 0.\nAnswer: -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - 11. Let z be 140\/(-864)*-2 + 4\/(-16). What is the smallest value in z, u, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 150\/(-14)*8050\/(-3636300) + 2\/31.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h + 116 - 134 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-343)\/1715 + 389\/(-5) - -45?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*-2*7\/(-1330)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -41293.91295 to the nearest ten.\nAnswer: -41290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1645*s**3 + 1607*s**3 - 3297*s**3.\nAnswer: -45*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 20, 405, 1508, 3689, 7308, 12725, 20300?\n\"Answer: 60*d**3 - d**2 - 32*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -342\/79? (a) -69 (b) 3 (c) -1.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 4*i = 20. Which is the biggest value? (a) -1\/3 (b) i (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 255390?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 6*y = -2*y, -2*y = 4*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29751629 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/(-2) - 84\/6. Let z = 12 + p. Solve 0 = z*w - 4*w + 6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183*i - 178*i - 20 = 0. Suppose i*g - 90 = 50. What is the common denominator of g and 31?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 3:27 AM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14667?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72199 and 44848320.\nAnswer: 4247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -141 - -145. Solve 1 = b*q - 7 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -4*f + 39. Let j be v(0). Let s(p) = 272*p**3 + 2*p**2 + 5*p - 6. Let w be s(1). Calculate the highest common divisor of w and j.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 51*u**2. Let h(a) = -11*a**2. Give h(m(w)).\nAnswer: -28611*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -5*f**2 - 38*f + 93. What is b(3)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3*b + b + 1)*(-318 - 284 - 769) to i*b + m and give m.\nAnswer: -1371","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-10)\/8 - 615\/60\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 190 and 2680.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 10:37 AM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 14*n**2 - 3*n + 6. Let t(u) = 22*u**2 - 5*u + 9. Calculate 8*g(a) - 5*t(a).\nAnswer: 2*a**2 + a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -6.2, 2\/7, -0.8, 0.5, 4\/9 in decreasing order.\nAnswer: 0.5, 4\/9, 2\/7, -0.8, -4, -6.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*p*r + 45*p*s - 83*p - 3*r*s - 7*r wrt r.\nAnswer: 5*p - 3*s - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**2)**47*(l*l**(2\/11))**(4\/9)*((l\/(l\/(l\/(l\/(l*l**(1\/10)*l)))))**(-3\/25))**(-8) assuming l is positive.\nAnswer: l**(1776323\/12375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -40*h**2 + 6*h. Let n(x) = x**2 - x - 34. Let o(w) = -73*w**2 + 5*w - 204. Let s(t) = 6*n(t) - o(t). Determine -6*s(g) - 11*z(g).\nAnswer: -34*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1028, 1021, 1016, 1019, 1036?\n\"Answer: t**3 - 5*t**2 + t + 1031","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -768870 take away -35015840?\nAnswer: 34246970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21495.\nAnswer: 3, 5, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 12194\/670 + (40\/(-8) - 13)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3030063 a multiple of 1121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a = -491 - 1781. Let r = a - -629. Is 54 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1796, -0.5, 0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*g - 800195 - 135927. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 268 = 71*b + 694 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 = 31*r + 18*r + 364 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wzi when three letters picked without replacement from {u: 2, w: 1, z: 4, t: 9, i: 2, h: 2}?\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 122427862 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1e4e (base 16) to base 11.\nAnswer: 5913","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -43*p - 53. Let o(t) = 15*t + 19. Let n(d) = -6*b(d) - 17*o(d). Determine n(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 AM and 9:15 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-450)\/(-1050) + 11\/7. Put -5, -12, t, 4, 3 in descending order.\nAnswer: 4, 3, t, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11811 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -259*m - 21. Let n(j) = 26*j + 2. What is 21*n(o) + 2*s(o)?\nAnswer: 28*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 18961 to the power of 1\/2, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 626148191 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -n**2 - 15*n + 3. Let g be a(-10). Solve -g*o + 2*f = -30, -3*o + 25 = -4*f - 7 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of -n**5\/120 + n**3\/3 + 4*n. Let l(j) be the second derivative of d(j). Let q(h) = -4*h**2. Give q(l(g)).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 c when three letters picked without replacement from {x: 1, e: 3, c: 2, v: 1, y: 4}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 190? (a) 2 (b) 7 (c) -6 (d) -0.2 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -110124?\nAnswer: 110130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xsxl when four letters picked without replacement from {l: 5, s: 2, x: 12}.\nAnswer: 55\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -7*c + 2. Suppose -4*a - 50 - 290 = 0. Let l be (-10)\/a - (-32)\/17. What is g(l)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 35 = 31 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4800 + -4678. Solve -22*f + 78 - q = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 175 - 174. Let o(r) = -3 - 2 + 10*r + 6. List the prime factors of o(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15 or 109\/7?\nAnswer: 109\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - 24\/(-9)) + 40\/(-60). Suppose -74 = -0*c - 2*c + 5*x, 100 = 3*c - z*x. Calculate the remainder when 59 is divided by c.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 6*u**2 - 4 + 3*u - 1 - 2. Let i be t(-5). What is the second biggest value in -0.1, i, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -1, 261?\nAnswer: 261","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1043966673?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (178*t + 17*t**2 - 178*t)*(-3*t + t - 2*t - 5*t).\nAnswer: -153*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 0. Let r(m) be the second derivative of m**4\/12 - m**3\/2 - 2*m. Let d be r(g). Solve -5*k + k = 3*f + 16, 0 = d*k - 2*f - 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 22416*j**2. Let s(x) = 15*x**2. Determine b(s(o)).\nAnswer: 5043600*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**2 + 3*g**2 - 2*g**3 + 0*g**2 - 4*g - 2*g**3 + 5*g**3 - 4*g**3 - 2*g**3 + 2*g**3 + g**3 + (2*g**2 - 3*g**2 - g**2)*(-2*g - g + g) + g**3 + 1 - 1.\nAnswer: 3*g**3 + g**2 - 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -236155 = 1177*m - 1178*m + 4*a, -4*m + 2*a = -944718. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 218347543 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1900) - (sqrt(1900) + 1 + -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6422121 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-26)*2\/(-3). Which is the second smallest value? (a) -3\/2 (b) 2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*33916660\nAnswer: 13566664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -4*b**3 + 2228*b**2 - 5816*b - 460928 = 0.\nAnswer: -13, 16, 554","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 2*h**3 - 38944*h**2 - 1795566*h - 1756620 = 0?\nAnswer: -45, -1, 19518","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-2\/15)*x\/x**(-2\/9))**(7\/4)\/((x\/x**(3\/2))\/x**0*(x**0)**(2\/21)) assuming x is positive.\nAnswer: x**(187\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 227881638 to the nearest integer?\nAnswer: 611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/32 and -7\/1144.\nAnswer: 4576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (525\/(-189))\/(4\/(-36)). Put 1, 2, c in descending order.\nAnswer: c, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2700 divided by 4\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 0*j - 2*j**2 + 3*j**2 - 2*j. Let h be l(2). Suppose 0*o - o + 33 = h. What is the greatest common factor of o and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 2 = 12. Find b such that b**d - b**5 - b**4 - b**4 + b**4 + b**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 45\nAnswer: -4\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*p**(4\/5))\/p)\/(p**(1\/4)\/p))\/(p*p**(3\/14)*p*p**(1\/14)))**(-8\/7) assuming p is positive.\nAnswer: p**(206\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*f = 58*f + 11781. What is the greatest common divisor of 663 and f?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 741979172 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) - ((sqrt(68) - 6*(sqrt(68) - sqrt(68)*-2)) + sqrt(68)))\/sqrt(4) - (3 + sqrt(1088))*-5.\nAnswer: 15 + 57*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 9*v - 16. Let s be k(17). Suppose 4*h = -s - 7. What is the remainder when 7 is divided by 15\/(-6)*h\/30?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 3:36 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13019 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137 - 31 = -102*f + 36 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 238 + -162. Suppose -78*v + 4 = -w*v. Suppose 5*l - 10 = -0. What is the lowest common multiple of v and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -671*j - 33. Let r(o) = 42*o + 2. What is 33*r(t) + 2*z(t)?\nAnswer: 44*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 9, 20 = 3*r - 4*s + 8. Let b = r - 11. Let o = b - -4. Solve 4 + o = i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = 16594*p - 16595*p - 18, 4*b - 2*p - 26 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -27672 divided by 1?\nAnswer: -27672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 101816 and 528.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(7\/6))\/s*s)\/s**(11\/4) assuming s is positive.\nAnswer: s**(-7\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 + 9*p + 37. Determine r(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i - 13. Calculate z(13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3150, -2844, -2010, -384, 2298, 6300?\n\"Answer: 44*d**3 - 2*d - 3192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4048 - 2238534\/553. Is 0 greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a year in months?\nAnswer: 258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 - 6. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -42 + 12. Suppose -a + 2 = -y - 5, 2*y = a - x. Let f(n) = -5*n + a*n - n. Let q(k) = 2*k. Calculate q(f(w)).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -137 - -136.9999627. Round f to six dps.\nAnswer: -0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 63 and 84?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20686478076 - -20686477988.000001752. Let y = -88 - r. What is y rounded to seven dps?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**7\/i)\/i)**22)**4 assuming i is positive.\nAnswer: i**440","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4615 - 4616. Let t = -6 - -4. Put -4, c, -0.3, t in decreasing order.\nAnswer: -0.3, c, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -759535 divided by 35\nAnswer: -21701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 243 = -223 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/10)\/((-10)\/25). Let s be (-50)\/36 + (-4)\/(-18). Which is smaller: s or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - l - 8 = 0. Suppose 7*d - 85 = 2*d. Suppose 0 = l*u - 63 - d. Calculate the greatest common factor of 5 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108301 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 19 = 10. Let c(s) = -s**3 - 3*s**2 - 2*s - 2. Let t be c(p). What is the first derivative of -4 - 7*z**3 + 3 + t wrt z?\nAnswer: -21*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -82 by 7735186.\nAnswer: -41\/3867593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85412 is divided by 14235.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -6*y - 3*g + 46, -g + 10 = y. Suppose -m + 39 = 15. Calculate the greatest common factor of y and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 54054 and 6798?\nAnswer: 5567562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 497 - 498. Let s = 2.9 - 2.57. Let d = 0.03 - s. Which is the nearest to n? (a) d (b) -4 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - 0. Let z(d) = -d**3 + 37*d**2 - 109*d + 242. Let s be z(34). Put i, s, -26, 1 in decreasing order.\nAnswer: s, 1, i, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -56 - -136. Calculate the highest common divisor of f and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21 + 21 + 2*o**2 + (-2*o + 3*o + o)*(-2*o - 1 + 1) + (6*o**2 - o**2 - 3*o**2)*(-5 + 2 + 2).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2431310 is divided by 235.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (4 + -5)*-27 - 6\/2 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s + 2. Let w be o(-2). Suppose 0 = -4*g + 10 + w. Let j(v) = v**3 - 4*v**2 + v - 5. Give j(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 3, -2387, 0.7, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.55 + 0.05. Let n = i + -0.5. Suppose 71*v - 295 = 12*v. Which is the smallest value? (a) v (b) 12 (c) -1\/10 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u - 12*u + 3 = 0. Let r be -91*3044 - (-12)\/u. What is r rounded to the nearest 10000?\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-14)\/13 - (0 + -2). Suppose -32*i = i + 36*i. Which is bigger: l or i?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 10*c - 16. Let g be z(10). Let p be (-4 + g\/8)*-20. Let o = p + 260. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 177*z**2. Let r(u) = 10*u + 8*u + 15*u - 48*u + 11*u. What is r(v(o))?\nAnswer: -708*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 282, 565, 848, 1131, 1414?\nAnswer: 1697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -1001101110001100110?\nAnswer: -1001101110001100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 54913.799 to the nearest one hundred.\nAnswer: 54900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13.6 + 10.6. Let p = -0.11 - -0.21. Which is the fourth biggest value? (a) 5 (b) 2\/7 (c) q (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/7 - 374\/14. Let p be 3\/t*(2 + -1). Let i = -75 - -74.8. Which is the second smallest value? (a) -2 (b) i (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -579861\/209185 - 11\/2461. Let x = 23\/34 + z. Let f = -30459\/5380 - -30\/269. What is the common denominator of x and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-18)*(-4)\/(-6). Let k be ((-2)\/4)\/(404\/16). Which is smaller: p or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2256529, 4513142, 6769755?\n\"Answer: 2256613*h - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1022231 (base 4) in base 2?\nAnswer: 1001010101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19793 - -45484. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 30726, 31260, 31794?\n\"Answer: 534*p + 30192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 12*a**3 - 2*a**2 - 8*a - 11. Let l(b) = 4*b**3 - b**2 - 3*b - 4. Let u(d) = -3*k(d) + 8*l(d). What is u(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4837 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 11603, 11602, 11599, 11594?\n\"Answer: -b**2 + 2*b + 11602","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y\/y**(-8))))**(-5\/8) assuming y is positive.\nAnswer: y**(-45\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**3 + j**2 + 11*j + 3. Calculate w(-6).\nAnswer: 405","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0384476*-6.8.\nAnswer: 0.26144368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -4. Let d = 11 - n. Sort -0.3, d, -0.1.\nAnswer: -0.3, -0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -4. Let j be (2\/3)\/((-16)\/18). Is j at least as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 468 and 288?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 16 = 3*u - 3, 2*u = 4*j + 10. Suppose -3*w - v = -u, -3*v - 28 + 1 = -2*w. Is 12 a factor of 1\/(-2) + 291\/w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1256559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b - 22. Let h be a(14). Does 10 divide 50\/(-4)*h\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - b**2. Let w(h) = -10*h**3 + 4*h**2 + 9*h. Let q(a) = -w(a) - 4*x(a). Find the second derivative of q(t) wrt t.\nAnswer: 36*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -50*y - 559. Let h be u(-18). What is the greatest common factor of 33 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2026?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 5*s + 13. Let v be q(4). Suppose -6*o + 3*o = -v. Calculate the remainder when 37 is divided by o + 4 + -2 + -3.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (507\/231 + -2)*4718\/1011\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -307*g = -303*g - 20 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1173 or -456525\/389?\nAnswer: -456525\/389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of 5*v**2 + 2*v + 3. Let a be u(5). What is the greatest common factor of a and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-480)\/50)\/(-8)*5\/2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3455268 is divided by 863805.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 640444682.\nAnswer: 2, 41, 7810301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 710523 is divided by 5872.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7955108 by -3.\nAnswer: 7955108\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1*(-18)\/15)\/(1\/40). Let l(a) = a**2 - 20*a + 10. Let n be l(18). Let u = n - k. Is 11 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d**2 + 8*d - 72. Calculate q(0).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -22.795193 and -0.108.\nAnswer: -22.903193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.8 + -0.6. Let n be (3 - 7) + 62\/15. What is the nearest to -2\/7 in 5, f, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -270 - -1886\/7. Let o = -17.4 + 17. Sort 4, q, o in descending order.\nAnswer: 4, o, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 15, 1, 13, -2, 2\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -895*k + 7*k**2 + 896*k + 8*k**3 + 2 - 9*k**2 to the form j + v*k + m*k**3 + g*k**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of g**4\/78 + 37*g**3\/39 + 36*g**2\/13 + 863*g. Let f(n) = 0. Calculate n.\nAnswer: -36, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 5*r**2 + 10. Let y(c) be the first derivative of c**2\/2 + 116. Calculate y(n(v)).\nAnswer: 5*v**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l + 1170 = -2*l. Suppose z = -2*z + l. Calculate the remainder when 152 is divided by z.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 794?\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4378342, 8756701, 13135060, 17513419?\n\"Answer: 4378359*f - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1440 + 1221253?\nAnswer: 1215413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001221 rounded to 5 dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((16 + 106 + 6)*(-8 + 7*b + 8) + 0*b - b + 3*b)*(0*b - 2*b - b).\nAnswer: -2694*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a second in milliseconds?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3600 = 6*b - 15*b. What is b rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjjjjjjj. Give prob of sequence jjjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -4*l + 5*l - 54, 3*a = 2*l - 163. Suppose -y - 2*y - 4*c = l, 0 = 3*y - 5*c + 83. Let u be 12\/24*1\/y. Is -1 smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - (-6)\/5)*((-63)\/6)\/(-21). What is the third biggest value in -5, x, 2.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n + 4*n - 5*n. Let j(f) be the first derivative of 11*f**2\/2 - 14. What is j(g(h))?\nAnswer: -22*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 25613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one quarter of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -163, -5, -4, -24\/7 in decreasing order.\nAnswer: 4, -24\/7, -4, -5, -163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -24 - 80 - -6?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*r + 18*r + 149 = 394 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -9) + 3 + -35 - -7\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -389 + 719. Does 11 divide (j\/(-9))\/(2*4\/(-12))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.86 + 0.44. Which is smaller: 2\/7 or t?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -193? (a) -5\/861 (b) -0.5 (c) 0.4 (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -26\/3, -0.1.\nAnswer: -26\/3, -3, -0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 3)*(-2 + 2 - 2*s) + 4*s + s - 3*s.\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + (1 - 1) + 1. Let g be (0 + a + -2)\/1. Let q(p) be the first derivative of -7*p**2\/2 - p - 3980. What is q(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 4*h + 20 = 0, 3*r - 5*r = -2*h + 8. Let z = 0.206 - 1.206. What is the nearest to z in 2\/9, r, 3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 17*a + 236. Let c be (-15)\/2*8\/(-3). List the prime factors of l(c).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23\/((-6578)\/78) - 6028\/968\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -92 - -96. Let b be 42\/n + 4\/(-8). Calculate the greatest common factor of 20 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75)*-5)**2 - -1*(sqrt(3)*-2 - sqrt(3)).\nAnswer: -3*sqrt(3) + 1875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 9, o: 1, z: 4}. Give prob of picking 1 z and 1 v.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1 + (2\/(-7) - (-1795)\/35)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 - -282 - (-3 + -5). What is the highest common factor of y and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(756))\/(sqrt(49)\/(sqrt(7) - sqrt(7)*-2)))**2 + -4.\nAnswer: 3884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2169069 - 2*t**3 + 2169069.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006861 rounded to six decimal places?\nAnswer: 0.000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zj when two letters picked without replacement from {l: 3, v: 12, z: 2, k: 1, j: 1, h: 1}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) + (sqrt(832) + 0 + sqrt(832))*-1)**2 + sqrt(832).\nAnswer: 8*sqrt(13) + 832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 96026139 a multiple of 549?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-18)\/8*(-11*(-9)\/(-108) - 2\/(-8)). Factor u*a**3 - 39\/2 - 3\/2*a + 39\/2*a**2.\nAnswer: 3*(a - 1)*(a + 1)*(a + 13)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10021 + 0?\nAnswer: 10021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53300 is divided by 47897.\nAnswer: 5403","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12510 = -13*r + 2752. Is 37 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 214*f**3 - 10 + f**2 + 18.\nAnswer: -214*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 85, 104, 147, 226, 353, 540, 799, 1142?\nAnswer: 1581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -4*q**3 - 5*q. Let x(d) = d**3 + d. Let s be 6*1 - 432\/27. Determine s*x(w) - 2*f(w).\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 804040623*k**6 - 17591415*k**2 - 3*k wrt k.\nAnswer: 96484874760*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 5*v + 49 = 3*o, -v = o - 17. Suppose c - o = -c. Solve 5*s = -1 - c for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -68882\/27 + 2550. Let y = -77815\/18 + 4322. Find the common denominator of y and c.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k = 150 - 15. Let s = k - 27. Let y = 24 - 29. What is the third biggest value in -4, s, y?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 32*w - 17. Let y(n) = 13*n**2. What is c(y(z))?\nAnswer: 416*z**2 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 6*s = -10. Solve 0*g = s*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9673965 divided by -15.\nAnswer: 644931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 7 = 5. Suppose 0 = 5*c - 3*n - 3964991, z*c + c - 3171991 = 3*n. Round c to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7392 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: Is 59327532 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.70529398 to three decimal places.\nAnswer: -5.705","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/24 and -25\/56421.\nAnswer: 451368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 130\/(-90)*(-80)\/22. Let t = y + -48\/11. Suppose 8\/9*h + t*h**3 - 2\/9*h**4 - 2\/9 - 4\/3*h**2 = 0. What is h?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {k: 2, r: 4, p: 1, i: 3, q: 4}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 540 + -549. Put -5, k, 6 in decreasing order.\nAnswer: 6, -5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 15?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19465*v**2 + 9674*v**2 + 9794*v**2.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 5, -6, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*l**5 + l**4 - l**4 - 2*l + 15*l**5 wrt l.\nAnswer: 100*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/5 - (-24)\/(-15). Let q be (15\/(-6))\/(-5)*y. What is the third smallest value in q, 0.1, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from orrororrroor. Give prob of picking 3 r and 1 o.\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*i + 11 - 171. What is the highest common factor of i and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/((m*m**(-3)*m)\/m)*m**18*(m\/m**(2\/17))**(-1\/6) assuming m is positive.\nAnswer: m**(709\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = y + 5, y = -2*g + 4*y - 6. Suppose 0 = g*i + 2*i - 60. What is the remainder when 46 is divided by i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*c**5\/5 + 198*c**4 + 328*c**3\/5 - 2296*c**2\/5 - 1856*c\/5 - 384\/5 = 0 for c.\nAnswer: -1, -4\/9, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 times 2\nAnswer: 1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -72\/169 or 0?\nAnswer: -72\/169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10199089 to the power of 1\/3, to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -48*s**3*x**4 - 5096*s**3*x**2 + s**3*x + s*x**4 - 24*x**4 wrt x?\nAnswer: -1152*s**3*x + 24*s*x - 576*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of -p**9\/1890 + p**5\/10 - p**4\/6 - 7*p**2. Let n(w) be the second derivative of u(w). Differentiate n(o) wrt o.\nAnswer: -32*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 38\/7 - 6*6\/84. Suppose 3*o - h*i = -19 + 6, -3*o + 27 = 3*i. Are 36\/13 and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -3*k**3\/4 + 11949*k**2\/2 - 23889*k + 23886 = 0.\nAnswer: 2, 7962","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6793 or 6763?\nAnswer: 6793","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 142534?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 + 642*j**2 - 319*j**2 - 311*j**2 - 2*j + 15. What is b(-12)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 49*d = -52*d - 273, 2*i + 2*d = 514. What is the highest common factor of 243 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 249, -2, 6397, -4 in ascending order.\nAnswer: -4, -2, 249, 6397","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of 0*f + 2\/5*f**5 + 0*f**2 + 26 - 4*f**3 - 5\/2*f**4. Solve d(o) = 0 for o.\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45*-2.6188\nAnswer: 117.846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 4*u - 137*u)*(2*u - 3*u - 2*u - 3).\nAnswer: 399*u**2 + 399*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-200)\/420)\/(-7 - (13680\/392)\/(-5)).\nAnswer: 70\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 65606?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 8*s**2 - s - 19. Suppose 4*b - 5*y = -2*y + 42, 46 = 3*b + 5*y. Is z(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/6)\/(-4*(-14)\/(-168)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of -3*b**7\/140 + b**6\/12 - b**5\/30 + 10*b**2. Factor v(q).\nAnswer: -q**2*(q - 2)*(9*q - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12070 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: -187*0.1\nAnswer: -18.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27 + -39. Let a = 8 + p. Let g(j) = 13*j - 9. Let l(f) = 6*f - 4. Let i(k) = a*g(k) + 9*l(k). Let o(r) = -6*r. Give i(o(s)).\nAnswer: -12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2419 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/3 + 9660*h - 6699753.\nAnswer: -(h - 28269)*(h - 711)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1070825207 to the nearest integer?\nAnswer: 1023","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l*l**27\/l)))**(-1\/7))**40 assuming l is positive.\nAnswer: l**(-1080\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*p**6 - 219*p**4 - 5*p**3 - 47089*p**2 wrt p.\nAnswer: -240*p**3 - 5256*p - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 170 - 164. Suppose 5*z = c - 176, c + w*c + 3*z = 589. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5 = 6*z. Let o be (-2 - -9) + -3 + z + 1. Calculate the greatest common divisor of o and 80.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163919?\nAnswer: 7, 23417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*o**3\/4 + 1389*o**2\/4 - 5595*o\/4 + 4203\/4 = 0. Calculate o.\nAnswer: -467, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17834713?\nAnswer: 13, 41, 33461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 1 - 1 - 4*a**2. Let m be (-4)\/(-6) - 4\/(-12). Let x(c) = -m + 13*c - 15*c + 1. Determine f(x(q)).\nAnswer: -16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -87075, -87075, -87073, -87069?\n\"Answer: a**2 - 3*a - 87073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(80)*2)\/(sqrt(120)\/(sqrt(36)\/sqrt(3)) + sqrt(10) + sqrt(10)))\/(((sqrt(48)\/sqrt(2))\/sqrt(6) - sqrt(256))*-4).\nAnswer: -sqrt(2)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-42))\/((132\/8)\/11).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yvxvcxxllx. Give prob of sequence vyvl.\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -501.0006048 + 501. What is m rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48615213 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + 5*h**2 - h + 5. Let z(c) = -c**2 + 3*c + 1. Let m(q) = f(q) - z(q). What is m(4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + f**2 - f. Let z = 46 - 43. Suppose -74*s + 141*s = 67. Let i(g) = -2*g**3 - 14*g**2 + 3*g - 1. Calculate s*i(t) + z*c(t).\nAnswer: t**3 - 11*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*a + 3*a**3 - 19*a - 2*a + 9*a.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of -1\/24*h**4 + 0*h**2 - 154*h - 3\/40*h**5 + 1\/4*h**3 + 1\/60*h**6 + 2. Solve d(p) = 0 for p.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 171 and 0.3.\nAnswer: 51.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -693 + 1370. List the prime factors of f.\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/5, -2\/13, 0.019, -2, -11, 1, -55\/9?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 356062214 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -8*c**2 + c + 1. Let x(i) = i + 1. Let r be x(10). Suppose -o = r + 4. Let y be 3*(15\/3)\/o. Give q(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-4)\/(-28)*1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 356886, 713778, 1070660, 1427526, 1784370?\nAnswer: 2141186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15432 (base 10) in base 15?\nAnswer: 488c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29955 is divided by 1072.\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**2 + 4*b**2 + 846*b**3 + 7*b - 3*b - 3*b - 827*b**3 as v*b + n*b**3 + d + m*b**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 67563665*o**5 + 80939663*o?\nAnswer: 1351273300*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 188985 and 350880?\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/5))**13*g*g\/g**(-2\/15)*g*g*g**(2\/11)*((g*g\/(g**2*g))**(-3\/8))**47 assuming g is positive.\nAnswer: g**(7165\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 1 = 199. Let m be a\/15*(-18)\/15. Solve 15 = -h + m*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 76 = 4*t, 2*i = 6*t - 143 - 11 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 + 40. Let h be (56\/10)\/1 + o\/55. Let m = h + 6. Is m a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4001422 - -41?\nAnswer: 4002013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = -g - 2*g. Let v be (g + 5)*31\/(-2). Suppose -2*q + v = -q. What is q rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 - 52. Let b be w(0). Let l be (-2)\/(-10) - b\/(-10). Sort 3, 0, l in increasing order.\nAnswer: l, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -613613704*f - 173803367 wrt f?\nAnswer: -613613704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 224.3 + -209. Let o = -3.5 + l. What is o rounded to 0 decimal places?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1823*d - 1825*d = b + 46, -3*d + 2*b - 62 = 0 for d.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-14) + 26\/7. Suppose 2*i - q = 0, -14 = -a + 5*a - 5*i. Let j be a\/2*(-4 + 4). Solve -7 = -r - j*r + 3*v, 14 = -2*r - v for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 131461\/5049 + 26\/(-1).\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 4*n. Let d(q) = -61*q**2. Give r(d(k)).\nAnswer: -244*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 12*z + 0.\nAnswer: 12*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1634005333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1764 + -655. What is the remainder when r is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11492?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1976, -3953, -5930, -7907, -9884, -11861?\n\"Answer: -1977*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, z: 3}. Give prob of sequence oo.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7837494 is divided by 375.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p - 7. Let m(k) = k + 6. Let r(x) = 4*m(x) + 3*u(x). What is r(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.240403 and -2411.2049?\nAnswer: 2411.445303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -5*j + 201, j = -q + 3*j + 56. Suppose -6*h = 5*f - 3*h - q, 42 = 5*f - 2*h. Suppose 4*r + i = 2*r + 27, 5*i - 58 = -3*r. Is r less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 891473?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millimeter in nanometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1\/(-2))\/((-1)\/62) is divided by (-6)\/8 + (-510)\/(-40)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -899365433*m**5 + 740055707*m wrt m.\nAnswer: -17987308660*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -16 - 13*j**4 - 749 + 10*j + 16*j - 202 wrt j?\nAnswer: -52*j**3 + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -32\/3. Let k = 38883 - 38882.7. Put -0.1, f, k in decreasing order.\nAnswer: k, -0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0\/(-3) - -1)*1. Let q = 22 - 13. Let v(n) = -4 - n + 4 + 3*n**2 - q*n**2. Calculate v(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 5:57 PM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 1103*y**2 + 3. Let z(b) = -1430588*b**2 - 3892. Let a(u) = -3892*p(u) - 3*z(u). Let f(o) = -o**2. Calculate a(f(w)).\nAnswer: -1112*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 3:41 PM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2034370892 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 205 + 2140847?\nAnswer: 2141153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = 3*g - 24, 5*p + 18 + 18 = 4*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 9:33 PM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*r + 800 = 10*r for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -40802666*j*s**2 + 65846*j*s - 81*j + 2*s**2 wrt s?\nAnswer: -81605332*j + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 9, s: 1, a: 3, r: 6}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 3*g - 41, 2*g - 21 = -2*s + 7. Let b = 17 - g. What is the remainder when (-29)\/(1 - -2 - b) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = y - 0*y + 16, i = -y - 16. What is the units digit of 40\/y*(-28)\/10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -58 by 33542.\nAnswer: -29\/16771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1146)\/68760*(-60)\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*k*m**2*t - 7*k*m**2 + k*m*t - 536*k*m + m**2*t - m*t wrt m.\nAnswer: 32*k*t - 14*k + 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a minute in seconds?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4739 or 1\/148?\nAnswer: 4739","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 260.46 + -249.66. Let s = -39.983866 - -50.78379. Let g = w - s. Round g to five dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 158 divide 7223444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-4))\/((-1605)\/(-856))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a microsecond in nanoseconds?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17\/2 + 35\/4. Let i(x) = 2*x**3 + 6*x**2 - x + 2. Let l be i(-3). Suppose 10 = -5*k, l*h - 7 - 19 = 3*k. What is the second smallest value in h, g, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 - 7*f + 32. Let b be j(-10). Let w(y) = 14*y + 0*y**2 - 11 + 3*y**2 - 5*y**b + y**2. Does 3 divide w(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 21 = 7420*i - 7425*i, -u - 8*i = 22 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11 + 79*b - 2 - 9 + 134*b + b + 0*b + 2*b - 4*b + 4*b - b + (3 - 2*b - 3)*(0 - 3 + 1) - b - 5*b + 5*b + 9 - 9 - 3*b.\nAnswer: 215*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**2 + q - 6*q**3 + 2*q**2 - 2 + 5*q**4 + 3*q**3 - 3*q**4 in the form h*q**4 + u*q**2 + k*q**3 + r*q + m and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 59\/56 - 10\/7. Sort 2\/3, b, 1\/11.\nAnswer: b, 1\/11, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1*2*(-1 + (sqrt(108) + 1)**2*-3).\nAnswer: 72*sqrt(3) + 656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21 times -8650?\nAnswer: 1816.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -5. Let z(k) = -3*k**2 + 118*k - 41. Let h be z(39). Let r(x) = x + 11. Determine h*r(s) - 5*v(s).\nAnswer: -2*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -35503, -71010, -106517, -142024, -177531, -213038?\n\"Answer: -35507*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of -17\/3*o**3 + 1\/60*o**5 + 5\/6*o**4 + 0*o + 27*o**2 + 0. What are the prime factors of f(-25)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 3*d. Suppose d = -4*y + s + 213, -3*y = 2*s - 3*s - 159. What is the second derivative of y*k**2 + 8*k - k**5 - 54*k**2 wrt k?\nAnswer: -20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 479 + 28*a + 441 + 3*a**2 - 917 in the form g*a**2 + x*a + n and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 74, 0, 8 in decreasing order.\nAnswer: 74, 8, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4 = -0*q. Let b be (-1)\/(-6)*3*q. Is 16 a factor of -4 + 2 + b + 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 8:47 PM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -14*k**2 - 7*k. Let w(h) = 2*h + 30. Let o be w(-12). Suppose o*s + 28 = 16. Let r(j) = 5*j**2 + 2*j. Give s*t(b) - 7*r(b).\nAnswer: -7*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 9*j**2 - 1. Let p(i) = 13*i**2 - 2. Let z(q) = 8*f(q) - 5*p(q). Let g be z(2). Suppose -g = -3*r - 0. What is the remainder when r is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 5*p**2. Let d be (5 + -4)\/(4\/144). Let s(v) = -2*v**2 - 36*v + d*v + 5*v**2. What is u(s(a))?\nAnswer: 45*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*g**4*n**3 - 13*g**4 - 2*g*n**3 - n**3 - 62*n**2 wrt g.\nAnswer: 132*g**2*n**3 - 156*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 - 10*v**2 - 11*v + 16. Let x be w(11). Find the third derivative of -2*n**4 - x*n + 16*n + 2*n**2 wrt n.\nAnswer: -48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, s: 6, r: 4}. Give prob of picking 2 o.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of -1\/120*b**6 - 3\/10*b**5 + 0*b + 10\/3*b**3 - 1\/24*b**4 - 17*b**2 + 0. What is the units digit of l(-18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35 - 40. What is the biggest value in -4, p, -3\/5, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.7, 0.1, 2.5, -4, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -558, -1, 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35 - 73) + 9 + 43.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**2 + 9*f**3 + 3*f**2 + 0*f**2.\nAnswer: 9*f**3 + 5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 - (-6 + (-12 - 13))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30035501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -14257117 divided by 3\nAnswer: -14257117\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**2 - 5*o - 163. What is the tens digit of v(22)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 131432?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123 = 323*l - 312*l - x, -24 = -2*l + x for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2078.\nAnswer: 2, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence loy when three letters picked without replacement from {d: 1, l: 1, y: 3, p: 2, b: 2, o: 3}?\nAnswer: 3\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 998954?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (231*(-376)\/(-217140))\/((-1)\/(-120)*-1)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43055.\nAnswer: 5, 79, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 h when two letters picked without replacement from {p: 1, s: 4, n: 2, h: 1, l: 1}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/5*-2*-15. Suppose y = 3*x - x. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 11*r**2 - 18*r - 3. Let x be f(-4). Suppose x = 3*t - 5*n + 6*n, 4*t - 4*n = 300. Does 3 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 8:34 AM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 187595?\nAnswer: -56278.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 630 and 3509640.\nAnswer: 24567480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*q + 3808 = -8*q. Calculate the highest common divisor of q and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1509 is divided by 43.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 10:08 AM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o**3 + 2*o**2 - 2. Give u(-2).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 371999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2 - d + 1 - 17. Let v be r(0). Let b = 20 + v. Is b a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -321 by 13231.\nAnswer: -321\/13231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - 2*d - 1. Let a be g(2). Let n be 2\/1 + (-1 - a). Let m = 190 - 189. Solve c + 3*c + n*u = -14, -c = 2*u - m for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.04 + -0.24. Let o = 45.55 - 45.65. What is the nearest to o in d, -12, 0.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 573326296?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + 35*g**2 + 125*g + 34. What is p(-31)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -703*-1292093\nAnswer: 908341379","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1032705 is divided by 147508.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/(45\/12)*-6. Suppose -4*w + 14 = 3*g, 4*g - 31 = -w - u. What is the lowest common multiple of 8 and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a gram in milligrams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -113.729577 - -6.727147. Let f = k - -107. What is f rounded to 4 dps?\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y\/y**(-29)*y))\/(y\/(y\/(y*y**(5\/11)*y*y)*y)*y)*(y**(-12)*y)**(21\/4) assuming y is positive.\nAnswer: y**(-3969\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*n**3*o**2 + 159*n**3*o - 1427*n**3 + 32*n**2 - 114*n*o + 2*n + 52 with respect to o.\nAnswer: 20*n**3*o + 159*n**3 - 114*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6870056262.\nAnswer: 2, 3, 1145009377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -231*v - 1251 = 3369 for v.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - 9*y**2 + 7*y - 14. Give j(-10).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/3)\/k**(1\/4))\/((k\/k**(-8))\/k*k*k**(-7\/3)\/k) assuming k is positive.\nAnswer: k**(-67\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0016599 to 4 dps.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of l**3\/3 + l**2 - l. Let y be c(-6). Let z(t) = -t**2 - 9*t + 13. What is the units digit of z(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228904 is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1666 and 476.\nAnswer: 3332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -272*t = -253*t - 8360. Suppose -38*h = 2*h - t. Let q(p) = -11*p - 3. Calculate the remainder when q(-3) is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 + 2*k**2 - 25*k - 3. Let w be m(-6). Solve 0 = -q - w, 2 + 5 = -d - 4*q for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -173\/45738 and -109\/289674.\nAnswer: 869022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5*12.264\nAnswer: 61.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 359052 divided by -5?\nAnswer: -359052\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-59)\/(-48 + 697))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6098209?\nAnswer: 13, 293, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28 - -53. Suppose q + 4*q - o = -5*u, 3*u = 2*q + 5. Let j(d) = -d**3 + 5*d**2 - 3*d + 1. Let f be j(4). Sort f, q, 0.\nAnswer: 0, q, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -3*w**2 + 92*w + 131. Calculate the remainder when 3323 is divided by f(29).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y**2 - 8*y + 11. Calculate f(4).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 - 13. Calculate the smallest common multiple of t and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p = 5*o + 11, 0 = o + p + 47 - 40 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1270938?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 48\/2*1\/2. Suppose 0 = -5*s + 2*m - 4*m + 22, -3*m = p. Calculate the smallest common multiple of s and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 4:49 AM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 15*n**5 - 1362*n**4 - 1668*n**3 + 1086*n**2 + 1653*n + 276 = 0?\nAnswer: -1, -1\/5, 1, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 381630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**4 + 6*n**4 - 2*n**4 + n**4 + 0*n**3 + 0*n**3 + (-1 - 2*n**3 + 1)*(n - 5*n + 2*n) - 2*n**4 - 16 + 18 + 4*n**4 + 9*n - 9*n + 4*n**4.\nAnswer: 13*n**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/41 and 0.2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36955*o = -36130*o - 5775 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 278179?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*a = -23*a + 7260. What is the remainder when a is divided by 42?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -8*f**2 + 2 + 13*f - 23*f + 18*f. Let h(v) = -v**2 + v. What is -10*h(s) + m(s)?\nAnswer: 2*s**2 - 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100111011001000011 (base 2) to base 15.\nAnswer: -32c17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + -21 + (-2 - -6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*k - 3*k + 6*k + (-k + 0*k + 0*k)*(3 + 4 - 5).\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -6d74?\nAnswer: -6d77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7496, 7453, 7380, 7277, 7144?\n\"Answer: -15*u**2 + 2*u + 7509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 236557149.\nAnswer: 3, 78852383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001797447 rounded to six decimal places?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2051 (b) 12.9 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 AM and 2:57 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 3 + 11 - (7682 + -7688).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 8 + (-15 - -9) + (-34 - (1 - -4))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + (-1 - -404) + 2. Let b = -193 + q. What are the prime factors of b?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 356, 1366, 3034, 5354, 8320?\n\"Answer: -a**3 + 335*a**2 + 12*a + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3*f - 36977 = 0, -3*g + 26*f + 110843 = 24*f. What is the hundreds digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2083.8543 rounded to the nearest integer?\nAnswer: -2084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*((-100)\/112 + 1). Suppose 4*i = 12 - 0. Suppose 0 = -w + 5*x + 9, i*w + 7*x - 4*x = -9. Is r >= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = w - 25. Suppose 3*z + 5 = 32. Calculate the remainder when z is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1176.6 to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -41*q + 92526. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132055795 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 331 - 0?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -8*x**3 + 7*x**2 + x. Let l(j) = 23*j**3 - 21*j**2 - 2*j. Let o(b) = 3*l(b) + 8*z(b). Factor o(y).\nAnswer: y*(y - 1)*(5*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 30152 - -3?\nAnswer: 30155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 316, 632, 958, 1294?\nAnswer: 1640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 79 + 40 + -104 + (-1 - (-1 + 0 - -115))\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 12, 24, 36, 48?\n\"Answer: 12*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 391 + n - n**2 + 9*n + 6*n + 0*n - 93.\nAnswer: -n**2 + 16*n + 298","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 2 g, and 1 o when four letters picked without replacement from hoknglg.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b**5 + 10*b**4 + 20*b**3 - 10*b**2 - 15*b = 0. Calculate b.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(3 + (-8 - -3)). Let r(q) = q**3 - 3*q**2 + q - 1. What is r(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1010\/6 + -1 - (-66)\/99. Let r be (-2)\/(-7) + 15\/h*-6. Is 1 equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6 - 6 - 12*a**5 + (2*a - 6*a + a)*(-5*a**4 + a**4 - 3*a**4) - 4*a**5 + 4*a**5 + 2*a**5 + 0*a**5 + 3*a**5 - 5*a**5.\nAnswer: 9*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 81 in 29, 33.9, 3, -0.5, 0, -0.4?\nAnswer: 33.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17494143.\nAnswer: 3, 5831381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 21*r**2 - 19*r - 5. Let v be g(20). Suppose -12 = v*u - 18*u. Suppose -5*s = 2*y - 2391, u*s = y - 375 + 2293. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37646971 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15 and 18695?\nAnswer: 56085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0617 + -0.06169731. Round z to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44747147 and 418.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + 21 - (0 - 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 92877, 5 in increasing order.\nAnswer: -5, -3, 5, 92877","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + 6*n**2 - 6*n + 2. Let y be 46\/(-230) + 42\/10. Determine l(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -w - 52 + 8, -15 = 3*h. Let l = w - -125. Is 32 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30353 is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -459, -1835, -4129, -7341?\n\"Answer: -459*j**2 + j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(152)*-3*5*6)\/((-2*sqrt(88) - sqrt(88))\/sqrt(11) - sqrt(64)\/sqrt(8)*-1).\nAnswer: 45*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (44891\/(-33390) - 2\/9*-2)*6\/(-2)?\nAnswer: 27\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5429 is divided by 2557?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -114 times 44.404?\nAnswer: -5062.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 909433 and 112?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 856.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13\/139 + -8731\/278. Let k be (36\/54)\/((-2)\/93). Are r and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence at when two letters picked without replacement from {b: 2, m: 1, a: 3, t: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2\/7 + 3424*f - 5129152.\nAnswer: -4*(f - 2996)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -19574*q + 117394. Calculate v(6).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3514188*t**2 - 3*t - 1757100*t**2 + 3*t - 1757092*t**2.\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 8. Find the second derivative of 7*h**y + 4*h - h - 9*h wrt h.\nAnswer: 140*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*c + c + 9280 - 3010. Calculate the remainder when 1291 is divided by c.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -155, -308\/27, 5\/3, 5, -1\/4 in decreasing order.\nAnswer: 5, 5\/3, -1\/4, -308\/27, -155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**4\/3 + 22*i**3 - 308*i**2\/3 + 58*i + 183.\nAnswer: -(i - 61)*(i - 3)**2*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 8\/1*(9 + 5\/((-175)\/245))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of 0*q**2 + 0*q**6 + 68 + 5\/14*q**7 + 0*q**5 + 0*q**3 - q + 19\/6*q**4. What is the third derivative of m(v) wrt v?\nAnswer: 900*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**3 - 31892*i**2 - 1025732*i + 8741460.\nAnswer: 4*(i - 8005)*(i - 7)*(i + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1 + sqrt(288)))**2 + (sqrt(2) - sqrt(4)\/sqrt(2) - sqrt(2) - sqrt(2))**2*2*3 - 2*(0 + 6*(0 + sqrt(162) + sqrt(162)) + sqrt(162)).\nAnswer: -210*sqrt(2) + 337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.9 from 0.0047040014.\nAnswer: 0.9047040014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 10:15 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1983833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -359, 1318, 2995?\nAnswer: 4672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -11*h - 42 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 4 + 490*x - 33*x + 1222*x as m + c*x and give c.\nAnswer: 1679","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 AM and 5:02 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 AM and 5:09 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -6\/5 (b) -6 (c) -0.4 (d) 2 (e) -2\/71799\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/5, -5, -49, -25, 4?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 57*k**2 - 2*k - 1. Let a be u(1). Let o = 59 - a. Suppose -o*z - 3*y = -11, -2*z - 2*z + 19 = -y. What is the remainder when 12 is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -96, -1.27, 662 in descending order.\nAnswer: 662, -1.27, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -15*g**2 + 8. Let m(j) be the first derivative of -5*j**3\/3 + 3*j - 24. Calculate 8*m(u) - 3*n(u).\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 29 (b) -0.1 (c) -2\/91\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 10:00 PM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -4*k - 14. Let c(i) = -i + 34. Let z be c(9). Let d = z + -32. Calculate the least common multiple of y(d) and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*m + 8*m = 5*m + 72. Let o = 51\/50 - -12\/25. Sort m, o, -2\/3.\nAnswer: m, -2\/3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0567264 * -100\nAnswer: -5.67264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 455 or 460?\nAnswer: 460","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 88, -3, 4 in decreasing order.\nAnswer: 88, 7, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 51 - 48. Solve z*y - 6*y + 15 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z. Suppose -r + 2*r - 2*n - 1 = 0, n = r. Let d(o) = -6*o - 2. Determine r*d(i) + 5*c(i).\nAnswer: i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 588946256?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10189259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 14632626 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3668325*-2\nAnswer: 7336650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/w**0)**(-13\/2))**(-5\/9) assuming w is positive.\nAnswer: w**(65\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -0.4 (c) -36\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3092352 and 1030784?\nAnswer: 3092352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = -0*m + m + 11, 5*m - 8 = a for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w + 4. Let f(c) be the first derivative of c**2\/2 + 3*c + 1. Suppose -2*l = 6*l - 24. Calculate l*r(n) - 4*f(n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 1819 = 1819?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**4 + 447*o**3 - 33646*o**2 - 3875532*o - 7612888.\nAnswer: -(o - 254)**2*(o + 2)*(o + 59)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3*n + 4. Let a(l) be the second derivative of -l**6\/720 + 2*l**4\/3 - 10*l. Let s(j) be the third derivative of a(j). Calculate s(g(q)).\nAnswer: -3*q - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 22685*-0.026\nAnswer: -589.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 126 = -2*p, 7*k = -5*p + 2*k + 345. Suppose -5*l = -t - p, 4 = -3*t + 4*t. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 5*c - 11. Let m be q(6). Let b(r) = -r**2 + 23*r + 26. Let j be b(m). Let y = 164 - j. List the prime factors of y.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*l - 3*l + 296*l**2 + 248*l**2 + l)*(-3 + 0 + 2) as x*l**2 + q + w*l and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 4*m. Let d be k(1). Let f be (-412)\/(-252) + -2 - (-3)\/21. Which is the nearest to 0.1? (a) d (b) 0 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6.25 + 6.3. Let d = a + 1.95. Suppose 0 = -3*j + 4*l + 11, -3*j - 3*l + 12 + 6 = 0. Sort d, 3\/7, j in ascending order.\nAnswer: 3\/7, d, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9431 + -9426. Let j = 3 + -2. Which is the second smallest value? (a) 0.5 (b) m (c) j (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -453, -893, -1293, -1629, -1877, -2013, -2013?\n\"Answer: 4*a**3 - 4*a**2 - 456*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/17? (a) 10227\/17 (b) -0.3 (c) -0.55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*g - g + 2*g)*(0*g - 3*g + 4*g) - 106*g + 39*g**2 - 30*g**2 - 343*g + 5 - 5*g**2 as m*g + r*g**2 + y and give m.\nAnswer: -449","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of -35*j + 4\/3*j**3 + 0 + 7\/2*j**2. Let n(p) = p + 1. Give 2*d(c) - 14*n(c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 7*d**2 - 9*d - 17. Let f(g) = -4*g**2 + 4*g + 9. Let q(t) = 5*f(t) + 3*x(t). Let k be q(8). Suppose k*i = 3*i - 36. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*(2\/3)\/1. Suppose -3*z - 4*w = -24, -3*z - 5*w = -10 - 17. Suppose 0 = -z*c + 26 + 10. Solve -t*o = -5*o + c for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 u when two letters picked without replacement from guyqh.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3\/28, -1\/13, -0.3 in descending order.\nAnswer: 3\/28, -1\/13, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.25 - -0.02378306.\nAnswer: -0.22621694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 59548*1.7\nAnswer: 101231.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -1 (c) 2 (d) 258\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 36*a + 1. Let i(l) be the third derivative of l**6\/120 + l**5\/20 + l**4\/12 + 7*l**3\/6 - 4*l**2. Let k be i(-3). What is the units digit of m(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -7*t**2. Let o(p) = 40*p. Calculate o(a(u)).\nAnswer: -280*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 108\/(-216) - (-10)\/(-4). Put -48, -1, 2, c in decreasing order.\nAnswer: 2, -1, c, -48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000101111 + 11?\nAnswer: -1000101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**2 + x**3 + x**2 + (x**2 + 3 - 3)*(-13*x + 6 - 6).\nAnswer: -12*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6500?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of -v**5\/60 - 5*v**4\/12 + 3*v**3\/2 - 4*v**2. Let t be y(-10). Calculate the highest common factor of t and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of (32\/(-3))\/((-46)\/207)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46932 is divided by 1267?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 434759264?\nAnswer: 2, 13586227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 264358?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -1, 567.\nAnswer: -1, 1, 5, 567","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44.0126 + -44. What is v rounded to three dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8136.\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -1440002*w - 4. Let r be d(-4). Let g be 6\/(-27) - r\/(-18). Suppose g = -5*i + 3*i. Round i to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a millennium in centuries?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.77 + 0.87. What is the fourth smallest value in -1\/5, -0.041, 0, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*l*z**3 + 34516958*l + 424245*z**3 wrt z?\nAnswer: 18*l*z**2 + 1272735*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 5 + 1)*(3*h - 4*h + 0*h) - 3*h - 1 + 3*h + 2*h in the form p + j*h and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2120141106?\nAnswer: 2, 3, 19, 29, 241, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 217171 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z**2 - 2*z + z**2 - 3*z**2 + z**3 - 2. Let t be c(4). Let f = t - -28. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rd when two letters picked without replacement from {r: 1, y: 1, b: 2, l: 1, g: 1, d: 3}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.072 + 29.128. Let k = c - 31. Let v = k - -2.2. What is the nearest to 1\/3 in 5, -2\/7, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1893 - -845. Is 12 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -446.909 and 0.71.\nAnswer: -317.30539","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106176076.\nAnswer: 2, 29, 915311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -60*i**5 + 64*i**2 + 3*i + 3. Let b(l) = 61*l**5 - 65*l**2 - 4*l - 4. Let w(y) = -3*b(y) - 4*m(y). What is the third derivative of w(v) wrt v?\nAnswer: 3420*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooooooooo. Give prob of picking 4 o.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6888401, -13776800, -20665199?\nAnswer: -27553598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + b**2 + 2. Let h be 17\/6 + 4\/24. Suppose h*v - 1 = 5. Determine c(v).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mxmm. What is prob of sequence mmx?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28626 and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 176 by 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 0*u - o - 8 = 0, 12 = -4*u - 4*o. Sort -3, u, 5, 4 in descending order.\nAnswer: 5, 4, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 + 290*g - 17849. What is c(-342)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3054962, -24439832, -82484484, -195518810, -381872702, -659876052, -1047858752?\nAnswer: -1564150694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -369*x**4\/4 + 622*x**3\/3 + 386. What is the third derivative of q(z) wrt z?\nAnswer: -2214","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -365 and -108 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -3*r, 0 = 2*v - 3*v - 4*r. Suppose v = -5*q + 368 + 77. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -326 + 544. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) + (sqrt(252) + 1)*5)**2.\nAnswer: 360*sqrt(7) + 9097","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 8 = 12. Let b be (-4)\/(-3) - q\/15. Solve m + 10 = 3*n - 3*m, 5*m + b = -2*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(13) + -1) - (1 + sqrt(637))**2)*-4.\nAnswer: 68*sqrt(13) + 2540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g**2. Let u(s) = 5130418*s**2 - 6*s - 2. What is u(k(i))?\nAnswer: 20521672*i**4 + 12*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 4*w + 6*w = 0. What is the third smallest value in w, 4, 2\/19?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -106\/129 - -13067\/4128. Suppose 3*p + 27783 = -3*v, -4*p - 44103 + 7029 = -2*v. Let a = p + 296481\/32. Calculate the common denominator of s and a.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/(-4))\/((-6)\/(-8)). Let x be 4*d*2\/(-4). Suppose j + 0*j - 4*g = -11, x*j - 3*g = 8. Solve 0 = j*z - 2*m + 33, -3*z = -0*m - 4*m + 31 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 - 22*b**2 + 12 + 10.\nAnswer: -22*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 7*b + 55. Put 4, b, -2 in increasing order.\nAnswer: b, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.031 and -1168662.\nAnswer: -36228.522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1747?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12014 by 2857.\nAnswer: -12014\/2857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a micrometer in nanometers?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 190629 and 14275994?\nAnswer: 128483946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 80 and 11565.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3399392.59 take away -262?\nAnswer: 3399654.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-36)\/3)\/(15\/(-2)))\/((-46)\/(-575)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 425511030 and 44520.\nAnswer: 11130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) -1\/2 (c) 13 (d) -4 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4*(1 - (-25)\/(-30))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of -21*z**6\/20 + 15*z**5\/2 + 119*z**4\/24 - 56*z**3\/3 + 5*z**2 + 1009*z. Solve k(p) = 0.\nAnswer: -1, 2\/21, 2\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54\/8*(-7256)\/16326?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 163351?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -66.\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-655900)\/105*(-60)\/25?\nAnswer: 2, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -250 = o + 4*o. Let l = -25 - o. Calculate the greatest common factor of l and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 431\/4 + -107. Suppose z + 3 = 0, 3*z = -6*j + j - 29. Which is the fourth biggest value? (a) t (b) j (c) 3\/2 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8*(-2 + (-15)\/(-6)). Let b(u) = 2*u - 5. Let m be b(c). Factor 1\/3*x**m + 1\/3 - 1\/3*x**4 - 1\/6*x**5 + 4\/3*x**2 + 7\/6*x.\nAnswer: -(x - 2)*(x + 1)**4\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6575506 (base 8) in base 10?\nAnswer: -1768262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14\/11 + 266\/33. What is the common denominator of 47\/45 and g?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 230 in 0.4, 0.1, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 60 - 15. Calculate the common denominator of 4 + 292\/(-18) - (0 - 5) and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 6 - (9 - 9 - 5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14991347.\nAnswer: 7, 29, 73849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -51, -93, -135, -177, -219?\n\"Answer: -42*t - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -54, -1, 17, 1 in ascending order.\nAnswer: -54, -1, 1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 527\/695 + -22\/139. Let v = 18\/41 + -152\/533. Put v, p, 11 in decreasing order.\nAnswer: 11, p, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 4 + 4)*(q**2 + 0*q**2 + q**2) + 0*q**3 + 14*q**3 + 7*q + q**2 - 6*q.\nAnswer: 18*q**3 + q**2 + q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9642458?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2 - r**3 - 4 + 13*r**2 - 21*r + 0 + 3. Let x be a(11). Solve 0 = 3*z + x, 2*z = -3*f + f - 10 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 230267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*j - 3*j - 3*j)*(291*j - 968 + 968).\nAnswer: -1164*j**2 + 582*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (10045\/60)\/41*60\/(-630)?\nAnswer: -7\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 954271?\nAnswer: 691, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -204\/63583?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -56\/5*c**2 - 78*c - 612\/5 + 2\/5*c**3.\nAnswer: 2*(c - 34)*(c + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 7*d. Let h(s) = 90*s. Suppose 0 = 39*u - 35 + 152. Calculate u*h(p) + 40*a(p).\nAnswer: 10*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34.9999832 - 35. Round a to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18802\/5155 <= 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 412 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.62 + 2.62. Let y = -362 + 367. What is the nearest to 1 in 4, y, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 2 (b) 3 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 674479.\nAnswer: 13, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 12*m - 33. Let n be l(15). Let q = n - 144. Solve -15 = -3*h, -q*g = g - 2*h - 6 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 5*h**2 - h. Let y(f) = -f**3 + f + 37. Let u be y(0). Let r be 16\/56 + u\/(-7). Let l(d) = d**3 + 4*d**2 - 5*d + 1. Let p be l(r). Give b(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -123 - -132. Let y(n) = -n**2 + 6*n - 4. Calculate the lowest common multiple of y(5) and (2 + 2 + -3)*a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 42494.\nAnswer: 424940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 9*p + 897*p**2 - 898*p**2 - 9*p. Let j(f) = 881*f. Determine d(j(q)).\nAnswer: -776161*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 c when two letters picked without replacement from {n: 5, c: 6, i: 1, z: 5}?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(66) + sqrt(66)*-4)*-4 + sqrt(66) + sqrt(66))\/(sqrt(6) + -2*(sqrt(6) - (sqrt(384) + sqrt(6) + sqrt(6))))*-4.\nAnswer: 280*sqrt(11)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85 - 52 = -11*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 4. Let q(u) = d*u + 0 + 4 - 2. What is the units digit of q(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.6, -1.28, -1.5 in decreasing order.\nAnswer: -0.6, -1.28, -1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3675, 3656, 3633, 3606, 3575, 3540, 3501?\nAnswer: 3458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -o**2*s*y - 4*o**2*s - o**2*y - 284*o**2 - 18*o*s**3*y wrt s?\nAnswer: -o**2*y - 4*o**2 - 54*o*s**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -489 - 2a?\nAnswer: -4b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 19296936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -10. Which is the biggest value? (a) 2 (b) -2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r*r*((r*(((r**36*r)\/r)\/r)\/r)\/r*r)\/r)\/r*r)\/r)**45)**(-21) assuming r is positive.\nAnswer: r**(-33075)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2080, 2090, 2094, 2086, 2060, 2010, 1930, 1814?\n\"Answer: -p**3 + 3*p**2 + 8*p + 2070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/4 - 10\/4. Let s(z) = 8*z**3 - 4*z**2 + 1. Let h(l) = l**3 - l**2. Let u(m) = 6*h(m) - s(m). Calculate u(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -511305829468\nAnswer: 511305829466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 726*x**2 + 3632*x + 3. Give c(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = i - 3 + 4, 3*g - 13 = 5*i. Let l(q) = -q**2 + 2*q + 5. Let n be l(4). What is the closest to 0.13 in g, n, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 818450 to the power of 1\/3, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven sevenths of a week in hours?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3033229 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 194*o + 86. Let b(a) = -129*a - 57. Let y(c) = 8*b(c) + 5*l(c). Is y(-9) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 343214 and 8551346.\nAnswer: 4834","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of -2170*v**2 - 2887*v - 8849. What is the first derivative of k(z) wrt z?\nAnswer: -4340","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 722.057 years to decades.\nAnswer: 72.2057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 45967978 to the nearest integer?\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c**2*p**3 - 2*c**2 - 43*c*p**3 - 262*c*p - 67*p**3 + 10*p**2 wrt p.\nAnswer: 6*c**2 - 258*c - 402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 9:41 PM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 1:16 PM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20 - (-1265)\/(-77))*3\/5.\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14*(-75)\/(-1225))\/(-20)*(-1)\/((-6)\/21)?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + 3)*5\/2. Let j(x) = 7*x - 27. Let i be j(b). Suppose 0 = -i*r + 2*r + 156. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -12*w**3 - 5*w**2 + 2*w - 5. Let v(s) = 6*s**3 + 2*s**2 - s + 2. Calculate 2*l(h) + 5*v(h).\nAnswer: 6*h**3 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -293.09 + 295. What is h rounded to one decimal place?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -14*d - 1. Let u be f(3). Let g be (u\/3)\/((-2)\/6). Let m = g + -25. Is 9 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 94 and 153.11341.\nAnswer: 247.11341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 4*g - 75. Suppose -5*q + 170 + 120 = 0. Calculate the remainder when q is divided by g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - (3 + -2 + -12))*(-5)\/15.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/2 - 435*y + 11479\/2.\nAnswer: -(y - 13)*(y + 883)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 160.\nAnswer: -3\/160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1142684116?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*a = 542 + 670 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16\/15 + -2\/5. Which is the second smallest value? (a) -3\/2 (b) w (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 91 = 5*c, 3*q + 70 = -0*q - 2*c. Let d be ((-30)\/35 - -1)\/(q\/(-28)). Sort -1, -1.8, 0.4, d in ascending order.\nAnswer: -1.8, -1, d, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -153, -811, -5, 7 in ascending order.\nAnswer: -811, -153, -5, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 8330608 divided by 25168\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 278 a factor of (-320)\/(-224) + 62\/(-14) + 8065?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9816 and 7748505?\nAnswer: 1227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -284416 by 2.\nAnswer: -142208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 100, 336, 730, 1282, 1992, 2860?\n\"Answer: 79*k**2 - k + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 10*n - 27. Let u(v) = -3*v**3 - 1 + 3 + 2*v - 4 + 2*v**2 + 2*v**n. Let m be u(2). Solve 5*j + 2*b = 3, m*b = -3*j + 4*j - 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.8 - 27.8. Let b = g - -24.000011. What is b rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*-1*((-3702)\/17276)\/((-12)\/7)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*h - 2*h + 2*h**3)*(10949 + 5334 - 3983 + 2416) to the form s*h**2 + i*h + q*h**3 + b and give q.\nAnswer: 29432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 15*a**2 + 23*a - 2. Calculate the lowest common multiple of c(14) and 20.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.044 and -4.\nAnswer: -0.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -3*i**3 - 3*i**2 - i - 3. Let z(b) = b**3 - 2*b**2 + b + 3. Let u be z(0). Let d(g) = 6*g**3 + 7*g**2 + 2*g + 7. What is u*d(f) + 7*k(f)?\nAnswer: -3*f**3 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 9) to base 10\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 783.51084ns to days.\nAnswer: 0.0000000000090684125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-6))\/(x*x**(1\/2)))\/(x**(2\/17)\/x**(2\/3)) assuming x is positive.\nAnswer: x**(-607\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 13 = 12. Let 3*y**4 + u*y**5 - y**2 + y**5 + 0*y**2 - 9*y**3 - 2*y**2 + 3*y = 0. What is y?\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 74290 (b) -4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*r = c + 14*r + 3, 3*r = 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -77, -167, -255, -341?\nAnswer: -425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4215479?\nAnswer: 107, 39397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 294 + 2. Is 74 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 13*o + 7. Let l(q) = 4*q - 3*q - 10*q - 5. Calculate 5*a(w) + 7*l(w).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -42 - -34. Let l be -5*((-4)\/(-20) - a\/(-10)). Solve l*n + 2*n - 25 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 32 = 5*s, 0 = 4*s - 2*p - 26 - 0 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 8*u - 3. Let k(n) = -27*n - 7. Let d(j) = -74*j - 21. Let v(q) = 6*d(q) - 17*k(q). Give 7*m(p) - 3*v(p).\nAnswer: 11*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(847) + -3 + sqrt(847) + -5 - sqrt(847) - sqrt(847) - ((sqrt(7) - (sqrt(700) + 2)) + 1))*-3)**2.\nAnswer: -1134*sqrt(7) + 5544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - g = 4*g. Suppose 2344 = 8*z - g*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -101 - -129. Suppose -3*j = 25*s - r*s - 1806, 0 = -2*j + 3*s + 1208. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 17\/(-3) - 4\/(-6). Suppose 2*n + 2 = r, 2*n + 2 = -r - 3*r. Suppose -7*f + 34*f - 135 = 0. Put f, r, i in decreasing order.\nAnswer: f, r, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x**5 - 4710*x**4 + 1190025*x**3 - 37753020*x**2 + 184688100*x = 0. What is x?\nAnswer: 0, 6, 30, 453","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -116 - 9 + 179*q**3 - 250*q**3 wrt q?\nAnswer: -213*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -658?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 656464726 to the power of 1\/4, to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6907518?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*h**2\/5 + 310592*h\/5 + 25593600.\nAnswer: 4*(h + 10664)*(7*h + 3000)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3*u - 14. Let m be x(6). Suppose 2*r + r + 3 = -a, m*r - a = -4. Put 15, 4, r in ascending order.\nAnswer: r, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -3*o + 34 - 52, -4*o - 7 = n. Which is smaller: o or -2\/1681?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3, -19, -47, -87, -139, -203, -279?\n\"Answer: -6*a**2 + 2*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of -a**5\/20 - a**4\/3 - a**3\/3 + 3*a**2\/2 - 61*a. Calculate f(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 5*l + 6. Suppose 0*h = -l*h + 33. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/770 and 61\/154.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6, -100, 2, 4?\nAnswer: -100","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1601*m + 1602*m - 3*j + 15, 7*j = -4*m + 35 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 + 8*s - 19. Let f be t(5). What is the highest common factor of 23 and f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u + 6. Let h be i(-3). Suppose -4*o + h*c = -2*o - 12, 2*c = 4*o - 16. What is the third derivative of 3*a**6 + 3*a**2 + 5*a**3 - 5*a**o wrt a?\nAnswer: 360*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 236009281 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 581155915.\nAnswer: 5, 31, 3749393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 3*s + 334 + 79, 3*k + 5*s - 317 = 0. Does 8 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/11, 0, 3.9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + r. Let j = 2 - r. Factor -4*v**3 - 4*v**4 - v + 0*v**2 - 2*v**j + 11*v**3.\nAnswer: -v*(v - 1)**2*(4*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1063\/4824 + 1\/536. What is the closest to -2\/3 in 1.2, t, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 4 - 1 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111000100100001111 + 11?\nAnswer: 10111000100100010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p + 1. Let f be a(-3). Calculate the least common multiple of (f - (-1 - 0)) + 0 and (-1 + -1)*(-15)\/10.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 - 13*j + 34. Let m be f(-15). Is -2\/235 equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 53 + -38. Calculate the greatest common factor of j and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2111 + 2196. Solve 5 - t = 20*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 4 = 2*a, a = -s + 4 - 1. Which is smaller: s or -46\/53?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14132099+0.1702871\nAnswer: 14132099.1702871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1936\/(-224) - 27\/(-6)*2?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11477.88*38.\nAnswer: -436159.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a1a962 (base 13) to base 11.\nAnswer: 4939222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/10)\/(8\/(-20)). Let b be 50\/15 - (-2)\/3. Is b at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sms when three letters picked without replacement from {s: 4, m: 7}.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000007487816 rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s - 9. What is the common denominator of m(-4) and 1\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(6\/11)\/(x\/(x\/(x\/(x\/(x\/(x*x\/x**(2\/3)*x)*x)*x))))*(((x*x*x\/(x**(3\/4)*x)*x)\/x)\/x)**(7\/3) assuming x is positive.\nAnswer: x**(325\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 142 divide 265256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 333 a factor of 9376732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5079 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 2*b - 24. Suppose b*n - 16 - 4 = 0. Suppose -5*i - 2 + 3 = 2*q, -q + n = -2*i. Solve -q*t = -8*t - 10 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y**2 - 12*y**2 + 3*y**2.\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((90\/1)\/(-6))\/((-45)\/((-120)\/8))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 2. Let a be 3 - ((1 - g) + 0). Solve -2*i - v - 6 = 0, i + 3 = 4*v - a*v for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jujjuujj. Give prob of sequence uj.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22.9 - 23. Let h = -0.099937 - j. What is h rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p - 5*o + 1, -p - 2*o = o + 3 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 253573 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 174255795 to the nearest one hundred thousand.\nAnswer: 174300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 513?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 750, 1508, 2266, 3024?\nAnswer: 3782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.044, 7, -3, -0.27, -3\/2, 0.023?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 83858 * -76.\nAnswer: -6373208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -51848326*h**2 + h + 487448961?\nAnswer: -103696652*h + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224*h - 2 = 3 - 5. Suppose -3*g = -0*g - 42. Put -4, g, -2, h in descending order.\nAnswer: g, h, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -32 (b) -0.5 (c) -5 (d) -0.4 (e) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.3 and -1.511721?\nAnswer: 1.211721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1036, -4416, -10146, -18232, -28680, -41496, -56686?\nAnswer: -74256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/((-50)\/(-13) + -4). Let q = p + 15. Suppose 0 = m - 3, 7*m - q*m = -2*a + 27. Solve 5*r = -21 + a for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 171846 - 69597694\/405. What is the common denominator of -49\/225 and w?\nAnswer: 2025","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 0, 4758, 2\/7, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 8*r**2 + 4*r - 21. Let i be o(-7). Suppose 5*l - 126 = -3*u, -2*u - 11 + 5 = i. Calculate the remainder when l is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 679 = 3*f - 1027, -4*b = 5*f - 2834. What is the remainder when (-8)\/32 - f\/(-8) is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1220330 (base 4) to base 2.\nAnswer: -1101000111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of -a**7\/168 + a**6\/20 - a**5\/80 - a**4\/2 + 5*a**3\/6 + a + 504. Determine n so that c(n) = 0.\nAnswer: -2, 0, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 - 7*f - 11. Let o be y(8). Suppose 3*p - 7 = -4. Let h(k) = 3*k + p + 6 - 1 - 3. What is h(o)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in -1\/8, -2\/3, -28\/211, 40?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -339*w - 12501 + 2897 for w.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + y = -4*y - 265, 0 = 5*p - 4*y - 1220. Suppose 4*l + 208 = j, 4*l + 1120 = 4*j + p. Is j a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 756338 to the nearest integer?\nAnswer: 870","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7971906?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 389175\nAnswer: 2\/389175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/4 - 39\/(-12). Let c be (-4)\/(-3)*w\/(-5). Which is greater: c or -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 211, 132, -677, -2582, -5949?\nAnswer: -11144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, 144, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -185*n**3\/6 + 10*n**2 - 26*n. Calculate the remainder when q(-1) is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1502753.3124 to the nearest one thousand.\nAnswer: 1503000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 12 - (17 - (13 + -17 + 12))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/6 - 5)*15.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -0*d. Is -2\/101 at least d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((9\/(-6))\/((-10)\/12))\/(1260\/(-600)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -59 + 1 - (-24 - 0)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rhn when three letters picked without replacement from {j: 2, o: 4, r: 1, h: 1, n: 1}?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 PM and 1:04 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 p, 1 f, and 1 n when four letters picked without replacement from {e: 4, f: 1, n: 2, w: 2, p: 6, h: 3}.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -285*x - 281*x - 7 + 845*x - 282*x.\nAnswer: -3*x - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 4 + 6)*(-3*g**3 + 6*g**3 + 0*g**3)*(g - 3*g + g) - g**4 - g**4 + 0*g**4 + (-3*g**2 + 2*g**2 - g**2)*(-4*g**2 + 5*g**2 - 3*g**2).\nAnswer: -52*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1796 + 1801. What is the third smallest value in 3, -0.3, s, 165, -2\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 a factor of 3053344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**10\/(((d*d**(-2\/19))\/d)\/d) assuming d is positive.\nAnswer: d**(211\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o - 11. Let s(p) = -154 - 250*p + 61*p + 56*p + 63*p + 63*p. Let i be s(-22). Determine k(i).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1726959977 to the power of 1\/4, to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/(-1470))\/(4\/14)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-6\/11)\/(c*c**(5\/12)))\/(((c*c**(-25))\/c*c)\/c**(-15\/8)) assuming c is positive.\nAnswer: c**(5323\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 3*z**2 - 28*z + 107. Give p(11).\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (8043\/9 - -1)*(-3 + 6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4801?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -44940, -89808, -134608, -179340?\n\"Answer: 34*t**2 - 44970*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 - 376*p - 32225. Give d(-132).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -439551 smaller than -439682?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1121478?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23580917 is divided by 374300.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of 2*a**3\/21 - 5*a**2\/7 - 12*a\/7 + 22. Factor o(m).\nAnswer: 2*(m - 6)*(m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 97 - -473. Let h be (-3)\/2*40\/j. Let i = 104 - 105. Which is smaller: h or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27026 is divided by 429?\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/16 and 99\/200?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1732379177?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -1596 and -1595 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/36)\/((-275)\/76725)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -19*k**2 - 19*k + 6. Let v be r(-3). Let w be v\/1026 + 4\/38. Solve -u - u + 10 = w for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 73 + 74 = 0. Let k be 42\/(-189) - (-49)\/423. Which is smaller: k or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*o + 10*o. Suppose -3*h - 8 + 20 = o. Suppose 0 = h*z - 168 - 216. Calculate the greatest common divisor of z and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -1. Let b be (-1)\/(g\/39) + 0. Suppose -5*l + 59 = 2*i, -2*i = -4*l - 73 - b. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87991692.\nAnswer: 2, 3, 7332641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -u**3\/3 + 7. Let t(z) = -16*z. Determine t(v(b)).\nAnswer: 16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 - -34. Does 26 divide (b\/3)\/((-12)\/(-36))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -314 bigger than -312?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 4*g**2 - g - 2. Let y be h(-1). Suppose 0 = -2*o + o + 2. Suppose -3*x + o*n = -n - 12, -2 = 3*x + 4*n. Is y less than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + 100031301311?\nAnswer: 100031301313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(5) - sqrt(20)) + sqrt(5) + 1 + sqrt(245) + 0.\nAnswer: 1 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - 8. Solve -20 = -a*q + 4*f, -6*q + 10 = -3*q + 2*f for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + 5*g**2 + 4*g - 1. Let d be y(-3). Solve -3*j = 4*l + 10, d*j + 2*l = -0*l + 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8278 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -9*m + 1. Let r(j) = -10*j + 2. Let a(h) = 7*o(h) - 6*r(h). Let x = -9 - -5. Give a(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 1242?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*p + 2 - 2 + (2*p + 1 - 1)*(3 - 1 - 3))*(-2*p + 5*p + p + 3*p - p + 0*p + (p + 0*p + 0*p)*(2 + 3 - 3) + 2*p - 3*p + 0*p + p + 1 - 1)*(-p + 2*p + p).\nAnswer: 112*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(2\/11))**(-2)*(k*k\/k**(4\/11))\/k**2 assuming k is positive.\nAnswer: k**(-30\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*n**5\/2 - 155*n**4\/2 - 120*n**3 + 1810*n**2 + 1200*n - 4320 = 0. Calculate n.\nAnswer: -4, -2, 4\/3, 6, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 27533 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1395744249 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 4*i + 20*z - 18*z, -5*z = i + 17 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 41*b**2 - 4*b - 12. What are the prime factors of n(-39)?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 8*a = -5*u + 13, 4*a - 3*u - 5 = 0. Let w(x) = x**2 - 2*x - 8. Let n be w(-6). Let v be ((-144)\/80)\/(2\/n*-3). Solve -a*r + v = -5*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - 1)*(-24)\/(-4). Let u be 12\/(-3)*(-63)\/z. Calculate the greatest common factor of u and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2031 divided by 5852?\nAnswer: 2031\/5852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/24104 - 250081\/48208. Let a be (-2 + 1*-50)\/(1 + -3). Find the common denominator of (8\/(-2))\/(-2) - a\/16 and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 346d (base 15) to base 12.\nAnswer: 6534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d**(-45)*d*d)*d\/(d*d**(-28)*d))**18 assuming d is positive.\nAnswer: d**1260","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 5*q - 9. Let u(h) = 5*h - 10. Determine 3*o(b) - 4*u(b).\nAnswer: -5*b + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 57820 by 4.\nAnswer: 14455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.419 * 0.03.\nAnswer: -0.01257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*p + 3*p**2 - 23 + 6*p + 25841*p**3 - 25840*p**3 in the form g + h*p**3 + k*p**2 + j*p and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 12:30 PM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-5)*h*h*h**(-1\/2)*h*h)\/(h**3)**(3\/10))**(-6\/5) assuming h is positive.\nAnswer: h**(72\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -2 + 11 + -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 19925570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + 5*u**2 + 1. Let h be x(-5). Suppose 3*d + 5*o = 4*o + 8, -2 = d - 2*o. Differentiate 1 + c**d - h + 2 wrt c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -5*o. Let p(y) = 4 - 21 + 17 + y. Let t(j) = k(j) + 6*p(j). Let r(w) = 2*w. Give t(r(a)).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18 or 536\/31?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (69\/(-2))\/((-147)\/2156) + -6 and 22?\nAnswer: 5500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*f - 8*f + 6*f)*(2*f**3 - 4*f**3 + 6*f**3) + 7*f**4 + 5*f**3 + 9 - 19 - 8*f**4.\nAnswer: -37*f**4 + 5*f**3 - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - (-1 - 2) - (-2 + 0). What is the highest common factor of y and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (7\/(35\/6))\/((-10)\/(-100)). Suppose c + 7 = h. Does 3 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*(2\/10)\/((-6)\/(-30)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -1241*r - 2. Let s(u) = u**2 + 21*u - 35. Let x(v) = 6*v - 10. Let f(t) = -2*s(t) + 7*x(t). What is g(f(z))?\nAnswer: 2482*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 385 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away 190342?\nAnswer: -190341.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0 (b) -4248 (c) -1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21205 is divided by 7049?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -145*j + 33. Let q(g) = -65*g + 16. Let u(x) = -4*p(x) + 9*q(x). Determine u(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -60.429 + 85.836. Round t to zero dps.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-25152)\/(-9825))\/((-4)\/10).\nAnswer: -32\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**2 + 8*b + 14. Let n(x) = 2*x + 5. Let h be n(-6). What is the tens digit of j(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 13 + 151 = 0. Let f = 59 + b. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 128, 591, 1554, 3155, 5532, 8823?\n\"Answer: 23*h**3 + 112*h**2 - 34*h + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28969325)\/(-26075))\/(-1*11).\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of 2 + 3\/8*m**2 - 1\/16*m**4 + 0*m**3 - 1\/2*m. Determine h, given that b(h) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.01 - 0.1. Let k = -0.01 + p. Let j = -0.12 - 1.88. What is the closest to k in -0.5, 2, j?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34 + -40. Let o(p) = p - p - 3*p. Let s be o(c). What is the highest common factor of s and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-2) + 10413\/18. Suppose -l - 3*d + 157 = 0, -5*l + y = 2*d - 259. Suppose 4*g - n = 134, g + 2*n + l = 6*g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of -s**2\/2 + 2*s. Let n(j) be the first derivative of j**2 - 2*j + 8. Determine n(f) - 2*y(f).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of q**7\/4620 - q**6\/1980 - q**5\/660 + q**4\/132 + 2*q**3\/3 + 2. Let o(n) be the third derivative of u(n). Factor o(y).\nAnswer: 2*(y - 1)**2*(y + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-80)*(29\/3 - 567\/81).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29963359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + q - 7 = 0, -q - 3*q - 17 = -s. Solve -2*t = -s*v + 5, -5*t + 17 = -v - t for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.058013 * -94.1\nAnswer: 5.4590233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22481143 by -8717.\nAnswer: -2579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.275 in -2\/11, -0.05, -1\/3, 5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 21889 - (-14 + 21\/21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4 (b) 2\/29 (c) 5.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -66563047\/55 + 1210289. Let w = d - 258\/5. Let z = -117 - -465\/4. Which is the closest to 1\/4? (a) w (b) 0 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 669*u**3 + 341*u + 637341 wrt u?\nAnswer: 2007*u**2 + 341","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-seven fifths of a hour?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 149720 a multiple of 361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 4 - 5) + 1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4465 times 1?\nAnswer: 0.4465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -2.626 and 110825 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18910)\/(-35929)*2\/10?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c**2 + 2*c. Let l(i) = i. Let k(r) = -h(r) + 2*l(r). Let d be ((-4)\/10)\/(1\/(-5)). Let j(t) = 1 - 1 + t**d. What is j(k(w))?\nAnswer: 4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 45201022 (base 8) in base 12?\nAnswer: 332b32a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 50.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1036 (base 8) to base 3.\nAnswer: -202002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1634*k = -2596*k - 4764*k + 612682 for k.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11241685 is divided by 1608.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9318 + -111749\/12. What is the common denominator of -20\/9 and g?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + -1)\/4*1*-1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38557676 divided by -1?\nAnswer: 38557676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1356?\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 73264.\nAnswer: 73264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 60 + -26. Suppose r = 4*z - 26. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47.47235 minutes to microseconds.\nAnswer: 2848341000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -656 by 7174.\nAnswer: -328\/3587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u - 2. Let b(a) = -1. Let c(d) = 4*b(d) - 2*h(d). Let j(k) = 5*k**2. Give j(c(r)).\nAnswer: 20*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zeq when three letters picked without replacement from xxfxexxkqqkzz.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 1. Let f = 4 - d. Let z be 1*1\/f*-5. Solve 3*b = -3*g, 0 = -z*b + b + 5*g - 9 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12223380 - 6944007. Let t = i + -2299373. What is t rounded to the nearest one hundred thousand?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -13. Let p(o) = -8*o**2 - o + i*o + 1 + 12. Let y(z) = -z**2 + 1. Let m(r) = -2*p(r) + 18*y(r). Determine q, given that m(q) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44990.\nAnswer: 2, 5, 11, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1020327 or 1020292?\nAnswer: 1020292","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1c87828 (base 13) to base 9\nAnswer: -18831337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -18, 3, -0.2, 26, 2\/13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 15*y**2 + 7*y - 12. Let c(d) = 5*d**2 - 2*d + 3. Let a(m) = 4*c(m) + p(m). Let j(r) = -12*r. What is a(j(u))?\nAnswer: 5040*u**2 + 12*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -858a3 (base 14) in base 7?\nAnswer: -2512663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 280 divided by 559?\nAnswer: 280\/559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -136387563 rounded to the nearest one hundred thousand?\nAnswer: -136400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 74906 and 6450.\nAnswer: 5617950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 2*a = 127 - 131, -12*u + 21 = -3*a for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 144995 and 1645.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**2. Let a(o) = -68*o - 8. Let m(t) = 23*t + 3. Let c(j) = -3*a(j) - 8*m(j). What is c(q(g))?\nAnswer: 40*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 204036 + -394036. What is w rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -53.7 - -50. Let h = -0.02 + -0.28. Let m = h + w. Put -2, -1, m in increasing order.\nAnswer: m, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + 1. Let n = 2.8 - 2.7. Which is the closest to 0.1? (a) 1 (b) o (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 399*-0.85.\nAnswer: -339.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 948409050 to the nearest one hundred thousand.\nAnswer: 948400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -201376645.30272 plus 2?\nAnswer: -201376643.30272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 4*g**2 - 12. Let l(p) = p**2 + 39*p**2 - 11 - 38*p**2 + p**2. Calculate -5*d(m) + 6*l(m).\nAnswer: -2*m**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 223238.\nAnswer: 892952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**2 + 93*d + 221. Let w be t(-44). Solve -6*h = -k + w - 27, 0 = h - 4*k + 11 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 3*sqrt(605)*-1 + -2 + 5 + -2*sqrt(605) + sqrt(605) + sqrt(605)*2*4 + sqrt(605))**2.\nAnswer: 550*sqrt(5) + 15150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 268 and 2077.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 + 176*r. Let z(y) = 0 - 8*y + 0 + 7*y. Determine m(z(l)).\nAnswer: -l**2 - 176*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-4) - (-18)\/(-4). Suppose 3*y - 1 = -l, 0 = -5*l + l - y - 40. Let j = -8 - l. Sort g, -1, j in decreasing order.\nAnswer: j, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -681, -1365, -2049?\nAnswer: -2733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.4 - 0.05.\nAnswer: -2.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -678 greater than or equal to -495?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (160\/24)\/(8\/18). Calculate the highest common factor of 15060 and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 15*y**2 + 3*y - 2. Let l(h) = 16*h**2 + 4*h - 3. Calculate -3*j(n) + 2*l(n).\nAnswer: -13*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -3 + 3*j - 2 + 7*j + 3*j**2. Let i(v) = -13*v**2 - 41*v + 20. Let f(g) = 9*b(g) + 2*i(g). Let q be f(-8). Let c(x) = x**2 + 6*x + 7. Calculate c(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-16)\/192 + 2566\/(-24). Let l = 137 + v. What is the remainder when 108 is divided by l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -3*p**2 + 6*p + 4*p**2 + 7 - p. Suppose 14 + 1 = 3*i. Suppose -19 = i*k + 6. Determine v(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -128100 divided by -12?\nAnswer: 10675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-60)\/45)\/((-2)\/42). Suppose -5*q + 2*t = -t - u, -4*q - t + 36 = 0. What is the least common multiple of q and 140?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5955 + 23995. Does 40 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24986.7m to millimeters.\nAnswer: 24986700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*r**3 + 3616*r**2 - 66689*r wrt r?\nAnswer: 114*r + 7232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/((-12)\/(-3)))\/(21\/4)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 54.2 + -55. Let g = t + 6. Round g to 0 dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 PM and 11:53 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-7 - -12 - (1 + 7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -3*l**4\/4 + 1305*l**3\/2 - 242625*l**2\/4 - 125235*l\/2 + 122622 = 0.\nAnswer: -2, 1, 107, 764","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2a (base 14) to base 2\nAnswer: 100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((7 - 7) + -14)*2\/(-3 + 7). Sort -2, -36, -1, x, 3.\nAnswer: -36, x, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -2*c + 10, 5*t - 3*c + 9 = -24. Let b = t - -11. Let x be (-1)\/(11\/(-4) + 3). Sort x, 1, b in decreasing order.\nAnswer: b, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 - 52 - (7 + -9 + 3 + 2).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 27849534 or 0?\nAnswer: 27849534","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-1\/6))\/p**2)\/(p**(3\/2)\/(p\/(p\/(p*p*p**(-6)*p)*p)))*(p**10*p*p*p**(1\/6))**(3\/8) assuming p is positive.\nAnswer: p**(-101\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 12 - 40 = -q, 5*g = -4*q - 44. Let w = g + 5. Let c(a) = -a**3 - 2*a**2 - 9*a + 9. Is c(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1434111173 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.74 - 5855029152.\nAnswer: -5855029155.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of 4*b**2 + 15*b - 9. Is x(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 7800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -140405*z**5 + 84*z**2 + 140405*z**5 + 640*z**6 wrt z?\nAnswer: 76800*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3*z + 5. Let r(y) = y - 1588 + 1588. Determine r(m(k)).\nAnswer: -3*k + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -18*g**2 + 7. Let d(m) = -6*m**2 + 2. Let l(w) = -7*d(w) + 2*s(w). Suppose 35*n = 4*n + 62. Calculate the smallest common multiple of l(n) and 27.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-8)*8\/(-60)*3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1261868 is divided by 340.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c + 40. Let k(b) = 3*b - 4. Let t(z) = 21*z + 47. Let j(l) = -8*k(l) + t(l). Determine 3*j(q) - 5*n(q).\nAnswer: q + 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 40*y**2 + 3924*y + 15710. Determine g(-4).\nAnswer: 654","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = -6*b + 2*b - c, -5*c = 4*b + 96. Is 22 a factor of (-1 - b) + -6 + 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 20057, 20079, 20115, 20159, 20205, 20247, 20279, 20295?\n\"Answer: -s**3 + 13*s**2 - 10*s + 20055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12347?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 2*a + u + 879, u + 3504 = 4*a. Calculate the remainder when a is divided by 222.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5901296, 5901297, 5901298?\nAnswer: 5901299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -385*p**2 - 4 - 389*p**2 - 7 - 6 - 4*p + 773*p**2. Calculate a(-8).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 24411*d - 24411*d - 20722*d**2 - 11463*d**2 in the form q*d**2 + l + s*d and give q.\nAnswer: -32185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 197449900 to the nearest integer?\nAnswer: 582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*s = 30*s + 68. Suppose -67*w - 113 = -s*w. Is w a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxwxwhwhwwhwwwxh. Give prob of sequence xh.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 309559\/117252 - 4\/3257. Let s = 1484 + -23761\/16. Find the common denominator of s and v.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (109\/(-10) + -2)\/(4068\/180 + -22).\nAnswer: -43\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -4, 3 in descending order.\nAnswer: 4, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (7\/(-49))\/(3 + (-10902)\/3633). Solve 20 = 168*t - s*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3234, 3303, 3424, 3603, 3846, 4159?\nAnswer: 4548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 3 - 9. Let b = 1590 + -1436. Suppose -g*a + 656 = -b. Is a a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -471*u + 1396*u - 481*u - 447*u. Let g(r) = 52*r - 15. Calculate g(i(s)).\nAnswer: -156*s - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 521209907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3a20 + -3?\nAnswer: -3a23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r**4\/2 + 194*r**3 + 386*r**2 = 0. Calculate r.\nAnswer: -386, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 10) to base 7.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4450000 rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 204?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-17)\/(-2))\/((-1)\/(-12)). Suppose 5*t - a = 138. Suppose -3*z - 11 = 5*p - 55, t = 4*p - 4*z. Calculate the highest common divisor of 40 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -51*m - 777. Determine o(-12).\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**3 + 25*x**3 - 12*x**3)*(-32 - 38 - 34 + 16).\nAnswer: -792*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-526)\/(-1841) + 290\/14.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54\/8)\/(160\/(-3200))*((-7)\/(-5) + -1).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 266*c**5 + 2*c**3 - 2*c**2 - 96*c + 2. Let s(k) = -k**5 + k**3 - k**2 - k + 1. Let f(i) = 2*s(i) - y(i). Find the second derivative of f(b) wrt b.\nAnswer: -5360*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49 + 3 + (-43 + 20 - -37) + -11.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, p: 5, w: 1, g: 3, q: 2, o: 3}. What is prob of sequence go?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72481.24s to microseconds.\nAnswer: 72481240000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 + n**2 - n - 3. Let i(q) = -q - 16. Let o = -50 + 34. Let g be i(o). Give x(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06528667 rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54, -11, 60, 159?\nAnswer: 286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -9. Find q, given that 12*q - 2*q**2 - 6 - 15*q + f*q**2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of x**5\/4 - x**4\/12 + 2*x. Let f be b(1). Let i = 136 - 128. Solve -i = 4*w - 0*w + f*p, 0 = -3*w + 4*p + 15 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 95, 94, 93, 92?\n\"Answer: -p + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 206074620?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 98615.91 months?\nAnswer: 8217.9925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 210011011 (base 3) in base 10?\nAnswer: 15421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (18\/8)\/(-2 + (-235)\/(-120)). Let y be 2*(213\/b - -4). Suppose -4*f - 4*v - 3 = 17, 2*v = -8. What is the nearest to f in 3\/7, 4\/7, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21484.1 plus 15660?\nAnswer: -5824.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 28, 0 = -c - 4*m + 845917 + 301208. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -93, -843, 15, 6\/11.\nAnswer: -843, -93, -3, 6\/11, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/6870 and 73\/13740.\nAnswer: 13740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1595483 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 8*k = 250. Let d(w) = -5*w**2 + 9*w + 13. What is the remainder when k is divided by d(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 14*q**2 - 3*q + 10. Let v be k(4). Let x = v - 122. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -202332123 (base 4) in base 6?\nAnswer: -3023123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13 + 220220?\nAnswer: 220205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -141 - -72. Let y = i - -68.7. Which is the nearest to 0.1? (a) y (b) 0.4 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164*f + 171*f = 7. Let w = 223 + -103. Let t = w + -1199\/10. Is t at most as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5527.8 - 5528.8. Let j = -8 + 4. Sort d, j, 5, -1\/9 in descending order.\nAnswer: 5, -1\/9, d, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**4 - 3*g**4 + g**4)*(-g - 2 + 2) + 460711*g**3 + 11*g**5 - 4*g**5 - 460710*g**3 + 87*g.\nAnswer: 8*g**5 + g**3 + 87*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 700922878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*j + 17 = 41 + 20 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*q**4 - 33*q**3 - 556*q**2.\nAnswer: -144*q - 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 16370*z - 900891. What is m(55)?\nAnswer: -541","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -y**3\/3 - 69*y**2 + 4267*y - 12593\/3 = 0.\nAnswer: -257, 1, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104890 is divided by 2553?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, q: 2, m: 2, h: 3, l: 2, x: 1}. Give prob of picking 1 l, 1 n, and 1 m.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -9*l**2 + 10*l**2 + 13*l**2 - 1. Let k be (1\/4)\/((169\/(-52))\/13). Calculate t(k).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 259501620 and 1330.\nAnswer: 259501620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 658, 624, 612, 634, 702, 828, 1024?\nAnswer: 1302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15134 is divided by 5040?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6205*k**5 - 3*k**2 + 951?\nAnswer: -372300*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -4*w + 7, -5*w + f + 40 = 6*f. Find the third derivative of 640*k**3 - 10*k**5 + 7*k**2 - 640*k**w wrt k.\nAnswer: -600*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*i**3 - 2*i**3 + 9*i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 110 and 3.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 70 - 65. Suppose 5*m - 8 = -w, -4*w + 0*w + 2 = r*m. Factor 191*c**m + 189*c**2 - 376*c**2 - 5*c - 7*c.\nAnswer: 4*c*(c - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cucu when four letters picked without replacement from uccuuyyyuyc.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(9\/8))**23)**(-41))**42 assuming o is positive.\nAnswer: o**(-178227\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1024?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**12)\/f)\/(f*f\/f**(-23)) assuming f is positive.\nAnswer: f**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*z**4 - 2469*z**3 - 5*z**2 + 1334955*z wrt z.\nAnswer: 24*z**2 - 14814*z - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 335164871 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1456*g**3 - 3999.\nAnswer: 4368*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5838 and 6.\nAnswer: 5838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = 2*k + k. Let n = -9 + k. Is (0 - (-1086)\/n)*5 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.08485 - 29.74985. Round s to the nearest integer.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 2*f**2 - 13*f - 2. Let q(h) = -3*h**3 - 5*h**2 - 26*h - 5. Determine 5*n(g) - 2*q(g).\nAnswer: g**3 - 13*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 11001404*r**2 + 16. Let y(c) = -c**2. What is b(y(g))?\nAnswer: 11001404*g**4 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 2*y = 8. Solve -2 = -y*f + 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -3*m**5\/5 - 87*m**4\/5 + 18*m**3\/5 + 498*m**2\/5 - 687*m\/5 + 261\/5 = 0.\nAnswer: -29, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1276*w - 4 - 1702*w + 699*w.\nAnswer: -2279*w - 4","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -991 - 1187 = -6*y. Let v = y - 364. Let x = -3\/442 - 175\/39338. Which is greater: v or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 45\/6*(-12)\/(-9). Suppose 2*k - 8 = t. Calculate the smallest common multiple of 41 and k.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -q - 22, -2*n = -5*q - 3*n - 26. Let s(w) = w**3 + 7*w**2 + 8*w + 11. Let a be s(q). Is 3 - (2\/(4\/334))\/a a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*g**4 - g**3 + 0*g**2 - 10 + 11*g**2 - 12*g**2 to c*g + y*g**4 + i*g**3 + q*g**2 + u and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 bigger than 5\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (3 - 52\/20)\/(1\/5) and 108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 j when three letters picked without replacement from {j: 2, m: 3, v: 3, b: 7, y: 4}?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -8865 times -0.37583?\nAnswer: 3331.73295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 4*h - 2*h)*(-3*h + 1 - 1)*(-69 + 77 - 41)*(-3 + 3 - h).\nAnswer: -198*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 5221 (b) 108 (c) -4 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26500.33*0.02.\nAnswer: 530.0066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g - 4*h - 15, -4*g + 80 = -21*h - 21 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**2 + 4*y**2 - 2*y**2)*(y - 4*y + y) + 0*y**3 - 2*y**3 + 3*y**3 + (-5*y**2 + 4*y**2 + 5*y**2)*(-1 + 1 + y).\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 105805056 divided by -1792\nAnswer: -59043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 3:24 AM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 25843052?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 15*q + 2. Let z(c) = 7*c + 1. Suppose -39*o + 18 = -36*o. Suppose -5*w - 5*y - 16 = -3*w, 2*w - y + 28 = 0. Calculate o*l(j) + w*z(j).\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -140592 less than or equal to -140592?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of u**5\/20 - u**4\/12 - 7*u**3\/6 + 11*u**2\/2 + 24*u. What is the smallest common multiple of 20 and n(5)?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*r - 2*c - 6, -5*r = -r - c - 3 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1783 + -1781. Solve 3*c = -i*c + 10 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -71*m**3 - 4*m + m + 70*m**3 to the form d*m**3 + a + c*m + r*m**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -10 - (73 - 74)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, p: 2, i: 1, g: 2, f: 1, t: 1}. What is prob of sequence tggf?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 8:19 AM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -339.1 - -338.9. Which is greater: u or 3\/17?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + r**2 - 3*r - 3. Let o be p(2). Suppose -2*d - o*d = -1300. Is d a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50 + (-5984)\/121 - (-196)\/(-319).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 149012318?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5788, 5792, 5796?\n\"Answer: 4*y + 5784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 1999185\nAnswer: -199918.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 3*b - 33 - 62 = 0, 7*m + 5*b + 133 = 2*b - 6 for m.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/2 + 16\/(-32). Let f = 15 - 14.1. Let g = f + -0.5. What is the nearest to y in -4, g, -2\/21?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -4*o**2 + 3*o + 1. Suppose -3*c - 3*u + 2 = 20, 4*u + 16 = -3*c. Let k(g) = -13*g**2 + 8*g + 4. Calculate c*l(n) + 3*k(n).\nAnswer: -7*n**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 4560.\nAnswer: 4560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7392 + 5*w - 22106 + 7381 + 7333.\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 - 97*y - 186. Determine z(-4).\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 5*j + 14, 2*j + 4 = 4*z - 52. Solve 2*y + z*y = 48 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 291 = 11*v - 6*v + 2*j, 5*v - 5*j - 270 = 0. Suppose 5*t + 3*b = -2*b + 130, -2*t = -3*b - v. Solve 0 = 5*l + 3*m - t, l + 5*m - 14 = 3*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*v - 2*v + 2*v + 150 - 150 + 23*v + (-1 + 0 + 0)*(2*v + 3*v - 6*v) + 2 + 2*v - 2 - 1 - v + 1 + 3*v + 2*v - 4*v to the form s + g*v and give g.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162*m**5\/5 - 596*m**4\/5 - 764*m**3\/5 - 336*m**2\/5 + 46*m\/5 + 52\/5 = 0. Calculate m.\nAnswer: -1, 26\/81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, k: 4, l: 5, j: 8}. Give prob of sequence nkn.\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - q = -115. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5 - (7 + (-12)\/2). List the prime factors of v\/6 - (19690\/(-30) - 2).\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 10 = -19*o + 21*o, -17 = 2*m - 5*o. Let k = 1019 + -1015. What is the nearest to k in 0.4, m, 1\/2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, -3, 1, -2.\nAnswer: -3, -2, 1, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17066.27 and -81.\nAnswer: 1382367.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -156*(-6)\/81 - (1 + 11).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -65206 (base 10) to base 7.\nAnswer: -361051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -38520000 to the nearest 1000000.\nAnswer: -39000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2191 and 6260?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-7\/6))**49\/(o*o**7)**15 assuming o is positive.\nAnswer: o**(-1063\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -3*x**2 + 7*x + 15. Let q(t) = -1243*t**2 - 2 - 6 + 1245*t**2 - 4*t. What is -3*g(p) - 5*q(p)?\nAnswer: -p**2 - p - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.26144541672708 from -4.\nAnswer: -4.26144541672708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-112)\/21 + 9 + -4. Sort 0.01, z, 49, 4 in ascending order.\nAnswer: z, 0.01, 4, 49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 3*z + 24. Let q be (4\/z)\/(1\/2). What is the third smallest value in 0.3, -1\/57, q?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -71 - -145\/2. What is the common denominator of 20\/9 and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -137*a + 2 - 4 + 20*a - 325*a to the form l*a + w and give l.\nAnswer: -442","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-252)\/(-90) - (-114)\/(-30). What is the closest to l in 5, 2, -3, -87?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -273 and 0.28.\nAnswer: -272.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19.3 + 20.21. Let c = 17.36 + f. What is c rounded to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-2)*(-1 + 15). Let q = r + 12. Let j(b) = 3*b + 6. What is the units digit of j(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -1148*z + 1143*z - a, -3*a + 6 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((3 + sqrt(17) - sqrt(17))**2 - sqrt(17)) + 0)*6.\nAnswer: -6*sqrt(17) + 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25)\/(-20)*1\/((-10)\/6)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -225516926 at least -225516926?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 14. Let s(f) = f**2 - 5*f - 5. Let j(d) = -3*d - 3. Let n(i) = l*j(i) + 3*s(i). Let b(q) = -7*q**2. Determine b(n(g)).\nAnswer: -63*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/4)\/(18\/5904) a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.1 + -0.96. Let r = 0.54 - b. Let q = 0.4 + -4.4. Sort -2, r, q in decreasing order.\nAnswer: r, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fuvvjfns. Give prob of sequence fu.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 1\/9 (c) 0.47584 (d) 1.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 2:52 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kaw when three letters picked without replacement from {w: 1, u: 1, a: 2, k: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + 4. Suppose y - 86 = -3*f, -f - y + 10 = 4*y. Suppose -3*u + f = 2*u. What is the remainder when u is divided by x(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -6. Let h = 620.5 - 41.5. Let j = -577 + h. What is the smallest value in 2\/13, j, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*f**3 + 35*f**3 - 6873*f**2 - 112*f**3 + 49*f**3.\nAnswer: 33*f**3 - 6873*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 - -5. Let g = d - -9.06. Let v = g + -3.06. Which is the third biggest value? (a) v (b) 3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-4))\/(-3)*912364\/59502?\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10125 + 11028.7. What is y rounded to the nearest 10?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -609*k**2 + 384. Let i(d) = -2433*d**2 + 1538. Let y(s) = 2*i(s) - 9*r(s). What is the derivative of y(m) wrt m?\nAnswer: 1230*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 - 27. Let c = -16 - q. What is the nearest to 2 in -1\/3, c, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 4*j = -24, -1 = 4*j - 5*j. Solve 0 = z*h + 4*i + 12, i + i = 4*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 + -3 + 10 + 9\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3848, -6725, -9528, -12257, -14912?\n\"Answer: 37*h**2 - 2988*h - 897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1003784 + 1.0303853. Let p = -4.9 - -5.83. Let w = v - p. What is w rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -3*k**2 - 8*k - 6 + k**2 + 4*k**2 + 2*k. Calculate the remainder when o(6) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -45.7 in -0.3, 10579, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1157)\/178*1\/5. Is -2 less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 2*g**2 + 35*g + 2. Let h be s(-5). Let t be 11 - ((-1 - -2) + -2). Solve -t = -5*u - h for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*h*j - 4063*h + 921*j wrt j?\nAnswer: 2*h + 921","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -3*z + 12. Let g(n) = n - 4. Let u(x) = 3*f(x) + 8*g(x). Let m(v) = 1. Let h = 1 + 0. Suppose 0 = -c - 4*c - 30. Give c*m(j) + h*u(j).\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5 + 4 + -2 + -5. What is the second biggest value in -3, 0, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.0616 + 0.0616. What is the second smallest value in 3, -0.29, d?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.4733294959032 and 1?\nAnswer: 0.5266705040968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d. Let h(p) = p + 1. Let c(w) = -3 - 3*w + 5*w + 4*w + 8. Let v(n) = c(n) - 5*h(n). Determine v(l(x)).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a centimeter in micrometers?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 18*m**2 - 3*m - 44. Let n be v(-18). Let f(o) = -o**3 + 9*o**2 - 8*o - 12. Let s be f(n). Let a = s + 314. Does 18 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6093 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l + 2*l**5 + 2*l + (-2*l**3 + 0 + 0)*(3*l**2 + 0*l**2 - 2*l**2) + 4*l - 4*l - l**5 + 2*l**3 - 6*l**5 + 541 - 2*l - 541.\nAnswer: -7*l**5 + 2*l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 - 6*p - 2. Let z(t) = t**2 - 7*t - 3. What is -5*o(q) + 4*z(q)?\nAnswer: -q**2 + 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 7) in base 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.81375715 - -1.37\nAnswer: 0.55624285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -61, -1, -68 in decreasing order.\nAnswer: 4, -1, -61, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 PM and 8:07 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 829.7963 * 6\nAnswer: 4978.7778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1148061 divided by 51\nAnswer: 22511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -333, -645, -959, -1275, -1593, -1913, -2235?\nAnswer: -2559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34920 is divided by 16685.\nAnswer: 1550","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 2372 in descending order.\nAnswer: 2372, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18*v + 15*v - 30*v + (3 - 2 + 0)*(-v - 1 + 1) + 3*v - 2*v + v)*(3 - 6 - 5) - 2*v + 1 - 1 in the form l*v + b and give l.\nAnswer: 254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 936350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 667 - h - h - 1345 + 678. Let a(w) = 2*w**2 - 78*w. Calculate i(a(t)).\nAnswer: -4*t**2 + 156*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mdhsyhj. Give prob of sequence dmd.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -3. Let s = 523 - 521. Solve k = -s*o - 1, -q = -k + o + 2*o for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (14*-49)\/(-19 - -20). Is d bigger than -684?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/3 (b) -24\/5 (c) 3 (d) 234\/289\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a decade in months?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -7*t + 2*t + 7297, -3*t + 3*w = -4362. Let n = -668 + t. Is n a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y + 11. Let j be c(0). Let t = -5 + j. Is (-394)\/(-3) - 2\/t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2221564*f**2*u**3 + 2*f**2 + 6*f*u**3 + 900*f*u + 4*f + u**3 - 4 wrt f?\nAnswer: -4443128*u**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + z + z**2)*(-2 - 150*z + 2 + 71*z - 251*z).\nAnswer: -330*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = l - 0*l. Suppose -4*r - 32 = -5*f, 3*f + 5*r = -4 + l. Find the third derivative of -2*h**2 - 2*h**f + h**2 + 2*h**2 wrt h.\nAnswer: -48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 4*x**3 + 21*x**2 + 17*x + 41. Let z(v) = v**3 + 5*v**2 + 4*v + 10. Let n(g) = -2*l(g) + 9*z(g). Let k be n(-3). Solve -3 = -t - k for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -44472439 and 339668?\nAnswer: 44812107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 5. Does 2 divide 1 - ((t - -3) + -5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.53 + 0.53. Let i = -165 + 167. Put 1\/2, h, -4\/7, i in increasing order.\nAnswer: h, -4\/7, 1\/2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o - 25, 2*o - 175 + 145 = -4*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -1. Let r = y + 4. Solve -3*x = -r*x - 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14835.9103 rounded to the nearest one thousand?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -19a35 + -20?\nAnswer: -19a55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2264649213.\nAnswer: 3, 313, 463, 5209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 242\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 983086 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 33\/5 of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of -17\/30*w**6 - 32*w**2 + 0*w**4 - 33\/10*w**5 + 0*w**3 + 0*w - 1. Find the third derivative of b(k) wrt k.\nAnswer: -408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 27 = -m, 3*m - 7 + 40 = -4*d. Let j(p) = -2*p - 3. Let t be j(d). What is the second derivative of -n**2 - n**2 + n**2 - t*n wrt n?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 331493 divided by -135.\nAnswer: -331493\/135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 2:06 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-20)*2)\/(99\/(-110))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/3034 and -7\/107596?\nAnswer: 4411436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 6*v**2 + 8*v - 6. Suppose -j + 3*a - 11 = 0, -20 = 5*j - 5*a + 15. Give o(j).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -29.6 (b) 3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -9*u + 36. Let l be i(2). Let t = 8 - 5. What is the remainder when ((-39)\/(-6))\/(t\/l) is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1638204 - 2906904. What is g rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7, 60, 149, 274?\n\"Answer: 18*s**2 - s - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of -x**2 - 3. Suppose -4*d + 3 = -9. Let k(f) = f**2 - d*f**2 + 5*f**2. What is k(i(p))?\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + g + 0 + 2*g - 2 + 2 - g - 2*g + 2*g + (2 - 2*g - 2)*(1 + 1 + 0) - 5*g + 2*g + 4*g - 188*g + 421*g - 190*g.\nAnswer: 42*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -746 + 3731\/5. Let q(l) = 5*l + 72. Let f be q(-14). Determine a so that h*a - 1\/5*a**3 + 0 + 0*a**f = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in 4, 6\/7, -2.47, -0.2, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37 or -322\/9?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 995605031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7520 - 67678\/9. Sort -19, -4, t, -0.1, 2\/11.\nAnswer: -19, -4, -0.1, 2\/11, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*g - 448 = -222 + 463 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 - 3*x**2 + 4*x - 2. Let z = 77 + -81. Determine o(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 1209*l + 10308. Determine b(-6).\nAnswer: 3054","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(36)\/sqrt(3) - 6*(-1 + sqrt(243) + sqrt(243)).\nAnswer: -100*sqrt(3) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 8*s - 27. Let r be 2 - 0 - (-15)\/15. Let q be t(r). Let l(y) = -3*y**2 - 4*y - 1. Determine l(q).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*2\/(3\/(-3)). Let p = 5699 + -5668. Let r be p\/2 + -7 + (-26)\/n. Solve -b + 2*v + 20 = -v, 5*v + r = -2*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a centimeter in micrometers?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/14 - (-17 - (-3952)\/112). Let s(i) = -i**3 - 18*i**2 + i + 8. Give s(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1843 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*h + 9*h - 8 = 0, -584561 = -3*z + h. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/978656421 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n - 15. Let g(z) = -5*z + 96. Let p(a) = -13*d(a) - 2*g(a). Give p(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, l: 1, w: 2}. Give prob of sequence wglg.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w + 4*w + 6*w + w - w - w + (-6 + 2 + 2)*(-1 + 1 - w) + w + 0*w + w - 28*w - 18 + 18 to the form x + s*w and give s.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k - 15. Determine w(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f - 3. Calculate x(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 56*j - 16 - 128*j.\nAnswer: -184*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - (-162 + 7))*2\/(-4). Let s = 79 - q. What are the prime factors of s?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 290 + -290. Solve l = 5*y + 1 + 19 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k. Let h be (-28)\/126 - (-94)\/18. Let s = 4 - -1. Let m(j) = -s + h - j - 3*j. Determine o(m(z)).\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -1 (b) 9 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 53*p + 745. Let m be x(-14). Let o(t) = t**2 - 6*t - 7. Let f be o(5). Find the common denominator of -83\/6 and (m\/f)\/((-15)\/564).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of f**8\/2240 + f**5\/120 - f**4\/12 + 3*f**2. Let k(i) be the second derivative of g(i). Find the first derivative of k(x) wrt x.\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8894785.\nAnswer: 5, 397, 4481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -39 + 42. Let h = 285 - 279. Solve -u*b = 3*t - h, -b = -5*t - 17 + 3 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - -17869\nAnswer: 17868.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*u, 0 = -3*r + r + u + 417. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 8957 and -7740305558?\nAnswer: 7740314515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8441\/52173 - -95\/4743. Find y such that o - 5\/11*y + 4\/11*y**2 - 1\/11*y**3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t**5 + 40*t**4 - 95*t**3 + 40*t**2 + 100*t - 80 = 0. What is t?\nAnswer: -1, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.10023 to three dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -9\/1163?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1669 + 1668. Let d(w) = -10*w + 1 + 22*w - 11*w. Let l(i) = -10*i - 6. Give c*l(v) - 8*d(v).\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1200392 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**2 + 2*g**2 - g**2)*(431 - 3*g - 431) + (-4*g**3 + 19*g**3 + 10*g**3)*(3 - 3 - 1).\nAnswer: -19*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5104852 rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -77 - -53. Let c be (-88)\/b - (-2)\/(-3). Solve -c = -f, -3*f + 2*f + 6 = -3*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(6\/4*(-4)\/2)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6 - 2 - 2)*(2*x - x - 3*x) + 5 - 3*x - 5 + 0 + 0 - 2*x)*(-2*x + 0*x**4 + 5*x**4 - x**4).\nAnswer: -36*x**5 + 18*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1203, 1202, 1199, 1194?\nAnswer: 1187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 4) to base 11\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -599 = -2*t - 0*k - 3*k, -k = t - 300. Let v be 1\/5 - (-11043)\/135. Let h = v - t. What is h rounded to the nearest ten?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 2 = 3*d. Let w(h) = -h**3 + h**2 - 2. What is the remainder when w(d) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-4) + (-1 - (-55)\/44). Let s = -0.1 - 0.1. Let m = 11 + -8. Which is the third smallest value? (a) r (b) m (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/19730590 and -19\/40?\nAnswer: 78922360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/30 of a hour in minutes?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 14 + 2 = -4*y, 5*y = -4*t + 17. Let g be (-22)\/t*-1 + 3. Let v(l) = -l - 11. Determine v(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/19)\/((z*z**(-5))\/z)*(z*z**(-1\/3))**(-1\/3))**(19\/6) assuming z is positive.\nAnswer: z**(835\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2374510764 divided by -6\nAnswer: 395751794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1472 + 1484. Solve -2*u = -g*u + 50 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 8 = -n, -4*n + 17 = -7*a + 4*a for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.01 - -10.09. Let a = -3.88 + 2.88. Let n = u + a. What is n rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_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: Let u(y) = 4*y + 7. Let r(k) = -k - 1. Let c(l) = 6*r(l) + u(l). Let a(z) = 2*z - 2. Calculate 2*a(o) + 3*c(o).\nAnswer: -2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j**2. Let m(k) be the first derivative of 31*k**2 - k - 56. Give i(m(z)).\nAnswer: -7688*z**2 + 248*z - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 221 and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11 + 6*o + 11 - o + 2*o - 3*o + (2 - 1 - 3)*(o + 3 - 3) + (-1 - 10 - 10)*(4*o - 3*o + 0*o) + ((3 - 5 + 4)*(-o + 3*o - o) - 2*o - o + 4*o)*(-5 + 0 - 1).\nAnswer: -37*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1176\/264)\/(-49)*44\/(-20).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 95403 by 31801.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*x - 7. Suppose 4*j = 90 - 10. Calculate the remainder when j is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - -6. Let q = -403 + 952. Let d = 555 - q. Which is bigger: v or d?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 421*z + 19474. Determine y(-47).\nAnswer: -313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 731*i**3*z**3 - 87*i**3*z**2 + 3*i**3 + 2*i**2*z**2 - 9072*i**2 + i*z**3 - 2567*z**3 + 3*z**2 wrt z?\nAnswer: 4386*i**3 + 6*i - 15402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k + k = -5*n - 17*k + 5*k, -8 = n + 3*k for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6152437?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {r: 6, m: 2, s: 4}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, -19\/2, -13\/3 in decreasing order.\nAnswer: 3, -3, -13\/3, -19\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/1440 and -41\/1584.\nAnswer: 15840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/((-80)\/(-8)))\/(((-2)\/(-4))\/(752\/376))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - 11 - -8 - (-1 - -4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4596830 to the power of 1\/2, to the nearest integer?\nAnswer: 2144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -96.4 to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 1 - 7) + (2 - 8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 10:32 AM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262 is divided by 63?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 - 15. Suppose v + 2 = -h. Let d = 18.5 - -0.5. Which is the third biggest value? (a) d (b) h (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m**2 + 58*m - 64. What is x(28)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 84 - 82. Suppose -5*z = 3*j + t, 0 = -2*j + 7*j + 4*z - 1. What is the smallest common multiple of j\/4 + 517\/44 and 27?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 688380 a multiple of 149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**2 - 262055*y + 129073560.\nAnswer: -5*(y - 488)*(y + 52899)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 - 1ba987?\nAnswer: -1ba980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 m, and 1 i when three letters picked without replacement from mninipimvnnippnppni.\nAnswer: 50\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 6 = -2*n. Suppose n*u = d + 7*u + 13, -4*d + 5*u = -32. Solve 5 = 3*h + 2*f - d, -4*h + 5 = -3*f for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 + 31. Solve o*n = 5 - 9 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190*r = -98*r + 1104 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -46150456 by -34936.\nAnswer: 1321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0807808 to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -27 and 59556.8.\nAnswer: 59529.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -13941.16151 rounded to the nearest 100?\nAnswer: -13900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.04 (b) 1\/6 (c) 3\/7 (d) 467\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5061 and -1535401.\nAnswer: -1530340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*n - 64*n = 59*n - 186*n - 15, 17*z + 4*n = 56 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((10\/12)\/5)\/((-3)\/(-12))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*s + 70*s - 144 = 0. Let x = 5 - 1. Suppose x*d + 7 = 99. What is the remainder when d is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j + j - j + (3 - 6 + 4)*(4 + 6*j - 2 - 16*j).\nAnswer: -8*j + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*v - 18 + 38 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - -8 - 0 - 6?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 - -17) + (-4)\/8*0. Differentiate -g - 90 - 30 - 8 + 263*h**2 with respect to h.\nAnswer: 526*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 27*f**4*s**2 + f**2*s + 329*s**2 wrt f.\nAnswer: 108*f**3*s**2 + 2*f*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (0 - (-9 - -4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 4*a + 74299 = 11487, 2*a - 47109 = -3*d. Suppose 0 = -2*u + v + d, v + 15700 = 2*u + 3*v. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 + (-1 - 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (20\/8)\/(1\/2). Suppose -4*m + 2*h - 9 = -35, a*m = h + 28. What is the remainder when m is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 540034?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -53 + 56. Solve 4*r + 0 = 2*x - 4, -x + 4 = -w*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -831*-8369\nAnswer: 6954639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 1. Let k(j) = j + 2. Let f(b) = -k(b) - q(b). Calculate f(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 - 2. Suppose -d*o + 24 = -7*o. Put o, 2, 0 in increasing order.\nAnswer: 0, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1084 - 1079. Let j = 0 + 0. Sort -6, j, 4, z in descending order.\nAnswer: z, 4, j, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63 + 48 + 3*p**2 - 111.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + 26. Let l be i(0). Calculate the highest common divisor of l and 286.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -991.496073 rounded to one decimal place?\nAnswer: -991.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v. Let k(n) = -5*n - 2. Let q(j) = -2*f(j) + 2*k(j). Let m be q(-2). Solve -m = -4*c - 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*p + 135*p = 90 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -69082 and 4.\nAnswer: -276328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -388 - -392. Solve 4*p = -3*l + 15, -9*l = 4*p - q*l - 17 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**2 + 4 + 0*j + 5 + 2*j**4 - 2*j - 10 + 2*j**3 to b*j + k + d*j**3 + w*j**2 + f*j**4 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -270 - -800. Let t = -534 + p. Which is the nearest to 0.1? (a) -17 (b) t (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 126 or 19164\/151?\nAnswer: 19164\/151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yl when two letters picked without replacement from {t: 2, y: 7, l: 11}?\nAnswer: 77\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*k**2*l**3 + 8*k**2*l**2*t**2 - 10*k**2*l*t**2 + k*l**4 - 2*k*l**2*t**2 + 7*l**3*t**2 + 4*l**2*t**2 wrt l?\nAnswer: 72*k**2 + 24*k*l + 42*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 205 = 197. Let s(o) = 2*o**3 - 2*o**2 + o + 38. Calculate the remainder when s(0) is divided by t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, c: 2, q: 1, t: 7}. What is prob of sequence ff?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilogram in grams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 5. Let h = -18 - -22. What is the greatest common factor of o and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14*(301\/14 + -23)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 102854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-8002)\/64 + 0 + (-6157)\/(-197024)\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -455ac - 4d1?\nAnswer: -45a9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -9*q + 381. Let p = -55 + q. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-105)\/14 + 7 + (-5445)\/(-2). Suppose j = 5*m - 3*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z - 19 = 46. Suppose 3*l - 111 - 559 = p, -5*p = z. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 12) in base 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((1*(sqrt(420)*2 - sqrt(420)))\/(sqrt(490)*1))\/(2*(sqrt(96)*2 + sqrt(96)) - 6*2*sqrt(96)).\nAnswer: sqrt(7)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-d + 4 - 4)*(-18 - 3 + 0)*(3 - 3 - 1)*(-7 + 5 + 10) + 2*d - 4*d + 4*d + (2*d + 0*d - 3*d)*(-1 - 3 + 3) in the form m*d + j and give m.\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**2 - u**3 - 377*u + 0*u**3 + 376*u = 0. Calculate u.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7608384913 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 193023.\nAnswer: 3, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -122*v**3 + 17*v**2 - 65*v + 17. Let h(f) = -20*f**3 + 3*f**2 - 11*f + 3. Calculate 34*h(b) - 6*s(b).\nAnswer: 52*b**3 + 16*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-3))\/(210\/63).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*f**2*h - 8*f**2 + 13*f*h**4 + h - 14 wrt h.\nAnswer: 8*f**2 + 52*f*h**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3 - 0.2. Which is the closest to 1? (a) 9 (b) x (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 9:46 PM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*s**5 - s**3 + 4\/3*s**2 - 2\/3*s**4 + 4\/3*s + 0.\nAnswer: s*(s - 2)**2*(s + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3225124.\nAnswer: 2, 7, 115183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9543144 is divided by 202?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11461835?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-118)\/(-11) - 267\/(-979)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-57)\/4 + 2\/8. Let z be (78\/(-8))\/(3\/(-8)). Let l = f + z. Is l a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32280.01 - -32280. Put -0.8, 2\/13, r, -0.07, 1\/9 in ascending order.\nAnswer: -0.8, -0.07, r, 1\/9, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v - 72 = -2*t + 5*v, 229*v - 224*v = -5*t + 100 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1044436 (base 7) to base 10\nAnswer: 128848","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 607.1535 years in decades?\nAnswer: 60.71535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -20128 + 31*x - 20109 + x**2 + 40321. Calculate l(-28).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -544 - 3430002?\nAnswer: -3430550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 8*v**2 + 11*v - 25. What is the hundreds digit of m(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1617329071?\nAnswer: 9719, 166409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 10:37 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 46*k + 25*k + 21*k + 19711*k**3 - 19722*k**3.\nAnswer: -11*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3*b**3 + b**2 + 4. Give s(2).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.319 - 0.419. Let l = 57 + -400\/7. Which is the third biggest value? (a) 0.1 (b) x (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2054 divided by -127528\nAnswer: 1027\/63764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 10:40 PM?\nAnswer: 8:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v - 10 = -8*v, -g + v - 299 = 0. What is the hundreds digit of ((-6404)\/14)\/(86\/g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12342 - -146?\nAnswer: -12163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3d + 45a827?\nAnswer: 45a7c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of y**3\/6 - 2*y**2 - 7*y. Let m be i(4). Suppose -4*k + 14 - 2 = m. Solve 5*o + x - 11 = k*o, -2*x + 17 = 3*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -2.1 (b) -7 (c) -5\/7 (d) -1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbbb when four letters picked without replacement from {o: 4, b: 7}.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 + 2*d - 3. Let b(h) = -5 - 2 + 5*h + 0*h**2 + 2*h**2. Let i be (-12)\/7 + 8\/(-28). Let r = -10 + 15. What is i*b(z) + r*y(z)?\nAnswer: z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tvonoytvoyopvnp. Give prob of sequence yytv.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 41. Let n = c + -35. Is 1 at least as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 5 (c) 8 (d) 6\/35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 225 - 26051.\nAnswer: -25826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64088 is divided by 763?\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 6*l**2 + 5*l - 3. Let d(a) = -1. Let x(j) = -j + 6. Let c be x(3). Let w(m) = c*d(m) - r(m). Let n be w(-10). What is n rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhfhhfhhhhhhfhhfh. Give prob of picking 2 h.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5152319?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 177\/10 - 979\/70. Calculate the common denominator of l and 76\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2*m + 4 + 4)*(3 + 7 - 2)*(-3*m - 2*m + 3*m) to y*m + c*m**2 + w and give c.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((7*(-264)\/(-840))\/11).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + u + 30 = 0, 3*s = 6*s + 5*u + 30. Let k = 4 - s. Is 3 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -88*l. Let x be q(-1). Suppose d + 3*s + 113 = 6*d, 4*d - 3*s - x = 0. What are the prime factors of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8.46 + 8.522. Which is the third smallest value? (a) y (b) 4\/5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 742172147 to the nearest integer?\nAnswer: 27243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -42, -47, -40, -15, 34, 113, 228, 385?\n\"Answer: c**3 - 12*c - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 5*c = -81, -9 + 51 = -2*s - 4*c. Suppose -2*y + 62 = 2*n, -4*y - 51 = -n - 0*n. Let t = n + s. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -p*q*w - p*q - 2*p*w**3 - p + 2*q**2*w**3 - q**2 wrt w?\nAnswer: -p*q - 6*p*w**2 + 6*q**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*k + 71 + 127. Calculate the least common multiple of k and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 2*p = -27*l + 34*l - 223, -4*l + 8*l - 269 = 3*p for l.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*79767687.\nAnswer: -79767687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 23 and 311868.\nAnswer: 7172964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + -1 - (234\/(-9) + 1). What is the greatest common divisor of 5 and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 1:56 PM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/3, 3, 325?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 780 = -3*o, 21*o - j = 20*o - 260. Let x = o + 262. Solve 0 = x*w - w + 5*y - 22, -2*w - 5*y = -24 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2201920, 2201895, 2201870?\nAnswer: 2201845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2710*w + 4212*w + 283993 = -3246*w + 8609 for w.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -12024899476.48 from 0.3.\nAnswer: 12024899476.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 155 - -56. List the prime factors of q.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/((((x\/(x*x*x**(-7)))\/x)\/x)\/x))\/(x*x**(-4)\/x))\/((x\/(x*x**(-2\/9))*x)\/(x**0*x)) assuming x is positive.\nAnswer: x**(25\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1501 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 14 = 2*n + h, 0 = 3*n - h - 14 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/1710 and 163\/3420.\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 35 - -11?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18092681587 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -14845.6 and 36429299?\nAnswer: 36444144.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 h, and 1 s when three letters picked without replacement from whzsh?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116917675 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away 344?\nAnswer: -348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**5 + 5*j**5 - 6*j**5 + 6*j**2 + 3*j**5 - 6*j**2 + (-5*j**2 + 5*j**2 - 2*j**2)*(5*j - 5*j - j**2)*(-5 - 4*j + 5).\nAnswer: -3*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of -5*o**3\/2 - 2*o**2 - 268*o - 2. Suppose 32 = 4*s + h + 2, 5*s = -5*h + 45. Let q(f) = 7*f + 2. Give s*q(c) + 3*w(c).\nAnswer: 4*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2802 + -1327. Let k = 2194 - n. What is the hundreds digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/9))**(-4\/5)*(w\/(((w\/(w**(2\/5)\/w))\/w*w)\/w))\/(w\/(((w**(-2)\/w)\/w)\/w))*(w\/w**4*w**2)**18 assuming w is positive.\nAnswer: w**(-214\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3461810 (base 9) to base 11\nAnswer: 1068a06","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.7? (a) 8\/5 (b) 8311 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) -1 (c) -120 (d) 3\/19 (e) -2 (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20591\/77 + 2940\/11. What is the second biggest value in -121, 5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -11*g**2 + 12*g - 9. Let r be b(5). Let j = -192 - r. Calculate the highest common factor of 224 and j.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2*q + 4 = -6*r, 3*q = -r - 8. What is the smallest value in r, 0, -1.9, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + 3*(sqrt(200) + 2*sqrt(200)) + (sqrt(200) - (sqrt(200)*-1 + 4) - (0 + sqrt(200))*-1))*-4*-1)**2.\nAnswer: -7680*sqrt(2) + 460864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3 - 10 - 6*l + 0. Let b(t) = -t - 1. Let m(k) = -10*k - 11. Let z(r) = 5*b(r) - m(r). Determine -4*j(a) - 5*z(a).\nAnswer: -a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 1070056 and 1070045 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(35\/21))\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 593 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-390)\/(-182))\/((-1395)\/(-2170))?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - 277?\nAnswer: -275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j + 9. What is the units digit of s(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -12*r**2 - 213*r + 61. Determine i(-18).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -2, 1046 in descending order.\nAnswer: 1046, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-1 - -10)) + -85 + 45 + 43\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001100047 to 7 dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-18568)\/(-14) - (56\/(-35))\/(84\/(-15)) is divided by (-332)\/(-2)*1\/2?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 343*v**5 + 309*v**5 - 38*v**5 + (0*v**4 + 2*v**4 + 0*v**4)*(-v - 4*v + 2*v).\nAnswer: 608*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -8*o - 1. Let u(z) = z - 1. Let d(m) = 2*m**2 - 184*m + 2661. Let p be d(74). Calculate p*u(c) + t(c).\nAnswer: -11*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -139 - -141. Suppose 0 = -3*z - y + 3217, -q*z - y = -2184 + 38. Is 20 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2*a + 0 + (-a + 1 - 1)*(3 + 1 - 5))*(0*a + a - 3*a)*(-6 - 16 + 52) to h + s*a**2 + i*a and give s.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -206*q**3 - 2*q**2 - 177*q. Let y(a) = 413*a**3 + 4*a**2 + 355*a. Let w(g) = 5*j(g) + 2*y(g). What is the second derivative of w(l) wrt l?\nAnswer: -1224*l - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43442 is divided by 7226?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47 - 187\/4. Suppose 22*n = -15*n + 74. Factor -1\/4*g**n + f*g + 0.\nAnswer: -g*(g - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1050543149 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27234*c + 52486*c - 25251*c + 7.\nAnswer: c + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of 0 - 1\/90*h**6 + 1\/45*h**5 + 1\/630*h**7 + 0*h**3 + 0*h**4 + 0*h - 12*h**2. Let z(k) = 0. Calculate k.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10572893.34 to the nearest one hundred thousand.\nAnswer: 10600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 740 + -743. Let y(t) = 620*t + 127. Let o(s) = -307*s - 64. Let x(z) = b*y(z) - 7*o(z). Differentiate x(r) with respect to r.\nAnswer: 289","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (62\/4)\/((-20)\/(-320)*-8)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -22*l**2. Let t(z) = 3*z**2 - 4*z. Let y(i) = -4*i**2 + 5*i. Let g(b) = 5*t(b) + 4*y(b). Calculate x(g(r)).\nAnswer: -22*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-2\/11)*w)**1*(w*w*w**(4\/3))**31 assuming w is positive.\nAnswer: w**(3470\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.01234*-0.03\nAnswer: -0.0003702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 33997 = -4*o + q, 3*q - 33991 = -o. Round o to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36 + -23. Suppose -4*v = 3*x - 86, t = -3*v + 1. Does 3 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, h: 2, r: 1, o: 1, m: 7}. Give prob of picking 1 o and 1 m.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-4)*v**1\/v*v**(2\/11)*v**7*v assuming v is positive.\nAnswer: v**(46\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 831949964?\nAnswer: 2, 61, 331, 10301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(-3\/13)*f**(-3\/7) assuming f is positive.\nAnswer: f**(31\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/13 (b) -0.5 (c) 3 (d) -4 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 15*n**3 + 1. Let c be f(-1). Let l = -13 - c. Calculate the remainder when 16 is divided by (2 + -2 - -9)*l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 2*g + 2 + 3 = 0, c = g for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 6*w**2 - 157*w + 3839. Calculate z(16).\nAnswer: -1233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of o**4\/24 - o**3\/2 + o**2 - 2. Let i(v) be the second derivative of w(v). What is the units digit of i(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20839, 83275, 187311, 332947, 520183, 749019?\nAnswer: 1019455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -87398616*r. Let q(y) = y**2. What is l(q(h))?\nAnswer: -87398616*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-129)\/((-122034)\/(-344)) + 24\/187?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/56602 and -149\/412386.\nAnswer: 2886702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 3:17 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 105*m**2 - 121*m**2 + 0*m**3 + 0*m**3 + m + 1 - 2*m**4 in the form h*m**4 + x*m**3 + w*m**2 + d*m + r and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1308 and (763\/(-35))\/((-4)\/80).\nAnswer: 1308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (419 - -2) + 19 + -24.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/16605 and 119\/29160?\nAnswer: 1195560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 950.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, 5\/2, 0.31, 3, 23, 0 in descending order.\nAnswer: 23, 3, 5\/2, 0.31, 1\/8, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 35 = u, -4*m + 3*m - 175 = -5*u. Let b = 3854 - 3793. Calculate the remainder when b is divided by u.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + 2*n + 1. Let t be c(3). Let m = 17983 + -17979. What is the remainder when ((-2)\/t)\/(1\/7) is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1711076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + 1671?\nAnswer: 166d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -0.4, -10.7?\nAnswer: -10.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2090 and 1100.\nAnswer: 20900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + l + 3)*(147 - 72 - 70).\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6653570?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 3*y + 32 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, g: 5, e: 2}. What is prob of sequence ek?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -548 - -1062. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/sqrt(300) + (sqrt(847)*3)**2 - (-1*(sqrt(7)*2)**2 + 4 + 4).\nAnswer: sqrt(7)\/5 + 7643","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159 = 3*o + 2*l, 277 = 4*o - 5*l + 42. Suppose 18*y = 13*y + o. Solve 5*b - 3*a = -y, -11 = 3*b - a - 3*a for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -751*l = -750*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -10*(-14)\/(-6)*27\/126\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*l + 79*l = -49*l - 14*l + 13104 for l.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, p: 2, w: 1, j: 2, v: 1}. Give prob of sequence pj.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27227940, 54455881, 81683822, 108911763, 136139704, 163367645?\nAnswer: 190595586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5841530 to the power of 1\/3, to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -x + 25052, -57*j = -5*x - 58*j + 125264. What is the ten thousands digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = -a - 3*o - 0*o, -a = 4*o - 93. What are the prime factors of a?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -61*w + 51*w + 20 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*v - 1235 = -39*v + 33*v - 388 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -145 + 145. Let d(c) be the third derivative of 3*c**2 + 1\/24*c**4 + 0*c + 0*c**3 + t. Let p(s) = -7*s. Determine d(p(g)).\nAnswer: -7*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -289 and 0.2?\nAnswer: -57.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1832\/458)\/(4\/(-18)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1930566 and 252?\nAnswer: 81083772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**3 + 9*y**2 - 213840*y - 38709900 = 0 for y.\nAnswer: -270, 531","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, t: 2, u: 1, z: 3, n: 1, b: 4}. Give prob of sequence utte.\nAnswer: 1\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8c + 94?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 48104.97 litres in millilitres?\nAnswer: 48104970","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -25262640186+-1\nAnswer: -25262640187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3720 and 4960?\nAnswer: 14880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -4*x - 5*t, -3*x + 2*t + 448 = 435. Is x greater than or equal to -1\/34941?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 687907064?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 2, -11 in decreasing order.\nAnswer: 2, -10, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3125747 rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5667*461.85\nAnswer: -2617303.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (92 + 318 - 9)*(-3*k + 0*k + 0*k) + (1 + 6 + 0)*(-k - k + 0*k).\nAnswer: -1217*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + -1 + (9\/(-6))\/((-708)\/(-4720)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 58*d**3 + 3*d**2 - 2*d - 2. Give s(-1).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/60 and -7\/114.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 5*z = 10. What is the third derivative of -14*j**5 + 2*j**5 - 7*j**2 + 7*j**z wrt j?\nAnswer: -300*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 12 = -0. Let t = s - 7. Which is greater: t or -1\/16?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-402)\/(-134))\/((4\/2)\/(-6)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 2*h - 10. Let b = -0.2 - 0.3. Put b, h, -1 in decreasing order.\nAnswer: h, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 at most -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-81)\/((92\/161*-7)\/(-12*(-3)\/27)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -5. Let s be (-4 - -10)\/(j - -2). Suppose -r + s = -0*r. Is 6 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*v + 5, 3*v = 6*u + 1 + 14 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 173 - 177. Which is the third smallest value? (a) n (b) -1\/12 (c) -1 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -160622333 - 0?\nAnswer: -160622333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qg when two letters picked without replacement from qwgeurg.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 6. Let r be ((-4)\/(-6))\/(2\/g). Suppose r*k + 2 = 36. Is k a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 4 - 12*l - 2.\nAnswer: -12*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 23 = h - 4*t, 3*t = 2*h - 20. Suppose 0 = -h*d - 335 - 253. Let r = d + 181. Calculate the remainder when r is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3243073344?\nAnswer: 2, 3, 7, 2413001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 117 - 821\/7. Let g = 60.24 + -65.24. Let s be 1 - 0 - (-10)\/(-8). What is the closest to m in g, -1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**(-1))**(-14))**19)**22 assuming f is positive.\nAnswer: f**(-11704)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -60*a**3 + 13*a**3 + a**2 + 6*a**3 - 3469 + 17*a**3 + 23*a**3 as l + x*a + t*a**3 + b*a**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, t: 1, s: 1}. Give prob of sequence hts.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11663 + 2431?\nAnswer: 14424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 28338, 56686, 85036, 113388?\n\"Answer: t**2 + 28345*t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*(9 - 18)*2\/4. Let b(i) = -i**3 + 8*i**2 + 9*i - 2. Calculate b(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1234848, 2469700, 3704566, 4939452, 6174364, 7409308, 8644290, 9879316?\n\"Answer: i**3 + i**2 + 1234842*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2*x - 1 + 1)*(1 - 5 + 3) - 6*x + 3*x - 5*x)*((4 - 3 + 2)*(1 - 3 + 1) + 3 + 0 - 2) + (-3*x + 3*x + x)*(1 + 0 + 0) in the form r*x + i and give r.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**3*m*m)**(-21) assuming m is positive.\nAnswer: m**(-105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(4 + (2*sqrt(68) + sqrt(68))**2).\nAnswer: 3696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9297311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -51514525 - -311?\nAnswer: -51514214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of v**4\/12 - 3*v**2 - 9*v. Let f(g) = 8*g**2 - g. Determine m(f(i)).\nAnswer: 16*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 2*x - 3*x - 12, 0 = -5*h - 5*x + 40. Solve s - 10 = -s + 2*z, 5*s - h*z - 20 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/4896 and -157\/312.\nAnswer: 63648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (525\/(-210)*2\/5)\/((-7421)\/(-41))?\nAnswer: -1\/181","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2*k + 18 = 0. Suppose f = 8 + k. Calculate the lowest common multiple of f and 16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uf when two letters picked without replacement from {h: 4, f: 4, u: 3}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(1331) - sqrt(1331)*-2)**2 + 1 + (-2*(sqrt(1331) - 1*sqrt(1331)))**2).\nAnswer: 35940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l - 7 = 21 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9411*t**3 - 21806 wrt t?\nAnswer: -28233*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 19 = -3*x, x = 4*m - 4 - 1. Let j(r) = 9*r**2 - 1. Let c be j(x). Let z = 16 - 0. What is the highest common factor of c and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 63?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.225 + -0.18. Let q = -2.1794 - -0.1344. Let s = n + q. What is the biggest value in s, -20, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26 + -25 + 29*-1)*3\/(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 + 16. Let z(s) = 23*s**2 - s - 1. What are the prime factors of z(d)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1010 (base 2) to base 15\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of p**2\/2 + 1. Let v(b) = 60*b**2 - 8*b + 27. Let o(q) = 15*q**2 - 2*q + 6. Let j(a) = -9*o(a) + 2*v(a). Give j(l(r)).\nAnswer: -15*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -521050745*a**2 + 303809600*a wrt a?\nAnswer: -1042101490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.8953 * -0.098717.\nAnswer: -0.1870983301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 - 2 + 4)*(-t - 4*t + 3*t) - 35 - t + 61 + 71 + (0*t - t + 3*t)*(0 + 5 - 3))*(0 + 0 + 6*t) to the form h*t + x*t**2 + f and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 1\/4, 0.128 in descending order.\nAnswer: 0.4, 1\/4, 0.128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 217342?\nAnswer: 2, 271, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - 8*i**2 + 10*i - 10. Let s be y(7). Suppose 9735*p + 1265 = 9758*p. Calculate the greatest common divisor of s and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2\/3493 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 37125\/(-44) - 11\/(-4). Which is smaller: -840 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 248427763?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ws when two letters picked without replacement from swcs?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 89, 5, -50, 0 in decreasing order.\nAnswer: 89, 5, 1, 0, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 - 6. Suppose -k - 2918 = 4*a, -1090 - 1816 = 4*a - 5*k. Let p = a - -733. Calculate the greatest common factor of p and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p - 5 + 8*p**3 + p**2 + 0*p**2 + 4. Let z be -3 + -1 + 1 + 6. Suppose 1 = -2*i + z*i. What is g(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/6)*m\/m**(-2\/3)*(m*m\/m**(1\/3))**(-27))\/(m\/(m**2\/m)*m**(-2\/17)*(m*m**(-1\/4)\/m)**(-49)) assuming m is positive.\nAnswer: m**(-11281\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 195*y - 4. Let u(b) = -536*b + 11. Let j(l) = -11*g(l) - 4*u(l). Let n(o) = -2*o + 431. Calculate n(j(v)).\nAnswer: 2*v + 431","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11094 + -11071. Let s(c) = -c**3 + 24*c**2 - 22*c + 16. What is s(d)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/i**2)\/i)\/i*i)**(-8\/15)\/((i\/(i*i**(3\/2)))\/((i\/(i\/((i*i**(2\/11))\/i)))\/i)) assuming i is positive.\nAnswer: i**(577\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/6 - (-56)\/(-24)) + 11. Suppose -2*n + l = -n. Suppose 8*k + 93 = n*k. List the prime factors of k.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/6 (b) -2\/21 (c) -17 (d) 4 (e) -7\/5 (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1193 - 1196. Sort 1, w, -4, 165, -2.\nAnswer: -4, w, -2, 1, 165","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1474 and 1206?\nAnswer: 13266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.17 + -0.17. Let a be 9\/(-6) + -1 + 2. What is the second smallest value in a, o, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-66)*-6 - 5900\/275.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f\/f**(-2\/3))\/f))\/f*f\/f**(6\/11)*(f\/f**(-11))\/(f*f**(-1\/4)*f) assuming f is positive.\nAnswer: f**(1325\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-2))\/(2\/18). Let y = 260 + -365. Let j = -104.8 - y. Which is the nearest to w? (a) j (b) -1 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 13 - 1. Let y = 0.002 - -0.298. What is the third biggest value in k, y, 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 78.3 - 543.3. Let y = z + 465.01942. Round y to 3 dps.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 274 - -76 - 267 - (1 + -7 + 2)\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 + m - 1. Let w be ((-10)\/(-4))\/(-5)*-10. Suppose -5*p + 6 = -14. Let r(v) = 0*v + p*v**2 + 1 - 4*v + 2. Calculate w*x(o) + r(o).\nAnswer: -o**2 + o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -24\/5 and -2\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4129, 8245, 12379, 16537, 20725, 24949, 29215?\n\"Answer: m**3 + 3*m**2 + 4100*m + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13392*n**3 + 96 - 5*n - 96 - 7*n.\nAnswer: 13392*n**3 - 12*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35 and 5376.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3574 - 2?\nAnswer: -3576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(17) - sqrt(17))*6*-3.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lq when two letters picked without replacement from {s: 1, o: 1, l: 9, q: 2, k: 6}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 211294 and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 837 + 990 = 4*w, 2*w - 4*v - 908 = 0. List the prime factors of w.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3650564 litres in millilitres?\nAnswer: 365.0564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -138, -543, -1216, -2157, -3366, -4843?\n\"Answer: -134*v**2 - 3*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kvpvpvukkk. What is prob of sequence kpv?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 872.69535s?\nAnswer: 0.010100640625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2693?\nAnswer: 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 4.872924mg?\nAnswer: 4872924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/2)\/(1\/(-1 - 1)). Let t(b) be the second derivative of 0 + 0*b**4 + 0*b**l + 2*b - 1\/80*b**5 + 0*b**2 - 1\/120*b**6. Factor t(a).\nAnswer: -a**3*(a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(11) + -1 - (sqrt(11) + sqrt(44))*-5)**2.\nAnswer: -28*sqrt(11) + 2157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 29. Let g be ((-7)\/4 - -4)*-8. Let f = j - g. Solve -5*o - f - 9 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3466.888 + 3467. Which is the biggest value? (a) 0.1 (b) 10\/9 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 569913328?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5926 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 36 + 9\/(-9) + -1 + 2. Calculate the lowest common multiple of t\/96 + (-85)\/(-8) and 14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q**3 + q**2 - 4*q. What is y(2)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9762 plus 0.10632374?\nAnswer: -9761.89367626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*z**2 + 25 - 9178*z**4 + 9179*z**4 + z + 17*z**2 + 2*z**3 in the form q*z + p*z**3 + r + s*z**4 + d*z**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20881 = -11*n + 47319. Let t = 372139\/60 - n. Calculate the common denominator of -25\/8 and t.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 8. Let u = -6.5 - -6. Which is the biggest value? (a) i (b) 0 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 2*a + 38196*a**2 + 154*a**4 - 38194*a**2 - 2*a**3 - 3*a to the form n*a**4 + g*a**3 + b + y*a**2 + q*a and give b.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-2*(sqrt(243) + -3).\nAnswer: -18 + 54*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -402 - -404. Let x(c) be the first derivative of -3\/4*c**4 - 6 + r*c**3 + 0*c - 3\/2*c**2. Let x(n) = 0. Calculate n.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + 19*p + 23. Let y be u(-18). Suppose y*k + k = 0. Solve -x = -3*n - k*n + 9, 4*n - x - 11 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 64552066?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of 5*k**4\/12 - 10*k**2 + 6*k. Suppose s(w) = 0. Calculate w.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - 9*v**2 - 7*v + 10. Let d be m(-8). Suppose -d*z + 2 = -2. Let c = -7 + 10. Calculate the remainder when c is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 0. Let m be (87\/x)\/((-2)\/(-4)). Let q = m - 15. Solve -k = 5*w - 17, -4*w = -0*k + k - q for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 172694?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -473, 2\/3, -1\/8, -11, 0, 3 in descending order.\nAnswer: 3, 2\/3, 0, -1\/8, -11, -473","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 17908766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 300 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + 5*f**2 - 6. Let b(o) = -1. Suppose z - 4 = 5*z. Let n(a) = z*l(a) + 5*b(a). Give n(-3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7\/244 (b) -1\/2 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1261008 and 7056?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*i**2 - 279*i**2 + 32*i**2.\nAnswer: -292*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.1 - 6.1. Which is the third biggest value? (a) 0.2 (b) -4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -0.3, -80\/93, -12 in ascending order.\nAnswer: -14, -12, -80\/93, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u**3 - 123*u**2 - 1642*u + 1. Give o(-12).\nAnswer: -1463","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1739 is divided by 307?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 16290\/362 - (0 + 17). Solve 0 = -3*q - 32*m + b*m - 1, 2*q - 4*m - 26 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 4)*(-3 + 3 + 3*c)*(0 - 10 + 1)*(-6 + 5 + 0)*(0*c + 4*c - 2*c).\nAnswer: -216*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - 3 + 3)*(1 + 0 - 2)*(-1 + 4 + 2 + (1 + 0 - 3)*(-2 + 0 + 4)).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -99 + 13 + 19?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, -23, -99, -205, -341, -507, -703?\nAnswer: -929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -69565 less than or equal to -139127\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -2*n - 4*o + 14, -19*n + 4 = 27*n - 44*n + 3*o - 12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2118.584 millennia?\nAnswer: 21185.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2*c - 6 = -4, c - 1 = m. Suppose m = 2*v - 0*v - 0*v. Solve 3*o = -v*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 + 11*k + 12. Let a be s(12). Suppose 0*c + 5*c + 5 = 0. Is c at least as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.018301354 to six dps.\nAnswer: -0.018301","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1287, 2584, 3881, 5178?\nAnswer: 6475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of -166*q**6\/3 + 115*q**4\/6 - q**2\/2 + 701*q - 1. What is the third derivative of b(h) wrt h?\nAnswer: -39840*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-10)*(-30)\/21)\/(18\/(-630))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x\/x**(-1\/7))\/x)\/x**(-1\/3)*(x**(-2\/19)*x)\/x**10 assuming x is positive.\nAnswer: x**(-3044\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1601471168897 + 0.27\nAnswer: -1601471168896.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 223*c**2 + 22*c. Let z(i) = -74*i**2 - 5*i. Give 2*b(l) + 7*z(l).\nAnswer: -72*l**2 + 9*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(126)\/sqrt(144))\/((sqrt(343)*-1 - sqrt(343)) + sqrt(343) - 1*sqrt(1008)).\nAnswer: sqrt(2)\/76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 4059906?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**2*(t*(t**(4\/7)\/t)\/t*t*t*t)\/t*(t\/t**9)**(2\/65) assuming t is positive.\nAnswer: t**(1513\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 7:47 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/910 + 17 - 16 - 8\/10?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*l - 2*b - 0*b, 0 = -5*b + 5. Let m be ((-1)\/2)\/(2\/12). Let w = l - m. Calculate the greatest common factor of w and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j**(2\/3)\/j)\/(j\/(j\/j**(5\/11)))*(j*j**38)\/j**(-15) assuming j is positive.\nAnswer: j**(1822\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m\/(m*m**1)))**35*(m*m**(5\/3))\/(m*m\/(m*m*m**(2\/3)))*(m\/m**(-1\/8)*m*m**(-5)*m)\/(m**2*m*m**4) assuming m is positive.\nAnswer: m**(2387\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ldzsdpdszzzppdpzsd. Give prob of sequence llp.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 58*s - 4. Let c be 6*(7\/3 - 2). Suppose 0 = -t - c - 5. Let n be x(t). What is n rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5217*q - 1647*q + 40427 = -446917 for q.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or -382?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-11\/4)*d*d*d*d)**(11\/7)*d**(-25)*(d**(-19)\/d)\/d*d assuming d is positive.\nAnswer: d**(-1205\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 872365046?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 3*l - 51, -3*l + 4*v + 47 = 3*v. Suppose -n = 3*y - l, 2*n - 2*y + 11 - 1 = 0. Suppose 3*r + n*r = 84. Is r a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 12:31 PM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = 5*t + 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 5*c - 4*q = -35810, -89498 = -5*c - q. What is the greatest common factor of 7 and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 (base 5) in base 14?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/19 in 2864, -4\/53, 2\/19?\nAnswer: -4\/53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 237 times -0.48\nAnswer: -113.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 877925388 to the nearest integer?\nAnswer: 29630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 13*d**3 + 10198*d**2 + 4711*d + 5514. What is t(-784)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212544879.\nAnswer: 3, 2963, 23911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -153127 (base 10) to base 5\nAnswer: -14400002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100010020122122 (base 3) to base 8.\nAnswer: -22372424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.4 (b) 3 (c) -2\/3 (d) 83\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.13897 and 43.99.\nAnswer: 45.12897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -1703.7?\nAnswer: 851.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 5*b - 5244, 7887 = 3*t - 4*b + b. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 5:47 PM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 5 - (-1 - ((-14 - 1) + 13))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11160 and 120?\nAnswer: 11160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -7351.3 to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a millimeter in micrometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 7*u**3 - u**2 + 7*u + 5. Let a(v) be the second derivative of 2*v**5\/5 - v**4\/12 + 4*v**3\/3 + 3*v**2 + 17*v + 2. What is -5*a(q) + 6*m(q)?\nAnswer: 2*q**3 - q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 0 - (10 - 9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((6\/(-240))\/((-10)\/(-75)))\/((-36)\/16)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34 + 24 - 25)*(-4*c**2 + 3*c**2 + 0*c**2).\nAnswer: 35*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 5*g**2 + 4*g + 3. Let p be m(4). Suppose 0*i - 204 = -p*i. List the prime factors of i.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15477065059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 14)*(-6*t + t - 5*t)*(1 - 5 + 2) to the form m + u*t and give u.\nAnswer: -280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 299*s**2 + 36649*s - 36649*s + 1 in the form c + p*s + g*s**2 and give g.\nAnswer: 299","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.4255 - 0.0605. Let p = u + -269.514. Let j = p + 253.9. What is j rounded to zero dps?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 4*r = 60 - 36, 3*b = 4*r + 30 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 263.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 256775?\nAnswer: 5, 10271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 37*m**3 - 2*m**2 - 5*m - 4. Let w be u(9). Suppose 3*t = 5*t - w. Let l = t - 4881. What is l rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 8 (c) 16600\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 84 - 339\/4. Let p be 16\/(-36) - (-2)\/9. What is the nearest to 0.1 in i, p, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -152988 divided by -11.\nAnswer: 13908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) -1504 (c) -0.2 (d) 2\/9 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10.8516145 - 14.131589. Let o = n - -3.28. Round o to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-56)\/(-420))\/(((-4)\/(-20))\/(6\/(-10)))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45)\/10*3*(-196)\/(-147)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5142 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 97 - 86.7. Let k = 17.3 - q. Which is the nearest to 0? (a) k (b) 0.1 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 80\/13 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -78\/5 (b) 0.23 (c) 0.1 (d) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 585462?\nAnswer: 2, 3, 97577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 22463 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15209167 - 15209174.000021. Let b = -6 - 1. Let w = b - a. Round w to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -147393, -294795, -442197, -589599?\n\"Answer: -147402*z + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -328 divided by 2\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*q = 89*q - 13 - 2 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 3 + 29 + 10213*w - 10212*w + 39. Calculate g(0).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -983996*p. Let d(j) = 2*j**2. Give k(d(b)).\nAnswer: -1967992*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -4, 120, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 99435.374 to the nearest 100.\nAnswer: 99400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/8)\/(-25 + 24)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*r + 51*r + 110 = 0. Calculate the highest common factor of 33 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 1:05 AM?\nAnswer: 9:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8838.483872 rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/11 (b) -5 (c) -7448 (d) 2\/27 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 368.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 43257? (a) -2 (b) 0.4 (c) -1\/2 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 2 (c) 274 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*(-28)\/147)\/((18\/420)\/(90\/(-40)))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - 165.6174?\nAnswer: -166.0174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38875860?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -313*a - 2*a**2 + 323*a + 3*a**2 - 55 with respect to a.\nAnswer: 2*a + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r**4 - 95*r**2 + 83*r**2 + r**4 - 2*r to the form f*r**3 + n*r**2 + o*r + s*r**4 + q and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -2 (b) 0.03 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5538.881 hours to seconds.\nAnswer: 19939971.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/195*13)\/((-10)\/(-1)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -24\/1383191?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 - 2 - 30)*(2 - 2*y**3 - 3*y + 3*y) + (4*y - 2*y - 7*y)*(11 - 11 + 10*y**2) in the form c*y + a*y**3 + z*y**2 + r and give r.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 120 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d**2 - 108*d - 41*d + 149*d.\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*f**3 + 129*f - 129*f)*(3 - 3 - 2*f**2) - f**5 + 4*f**5 - 2*f**5 - 2*f**2 + 2*f**2 - f**5 - f**2 - f**5 + f**2.\nAnswer: -57*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 656028 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 249138.8ms to seconds.\nAnswer: 249.1388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23882 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/2)\/(76*(-180)\/19380).\nAnswer: -17\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 61 - 44 = 0. Suppose 0 = -2*l + 5*l. Suppose c + l*c = 6. What is the remainder when p is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -501718 + 854835. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -139, -198, -259, -322, -387?\n\"Answer: -j**2 - 56*j - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -4 (b) 2\/11 (c) 6 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vpvwpfvwppvppw. Give prob of sequence wwpf.\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 267, -126.\nAnswer: -126, 5, 267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 - -17. Let y = 42 - n. What is the least common multiple of 6 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 991 a factor of 17709003?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(1100) + sqrt(1100) + sqrt(1100)*-2 - sqrt(1100)) + 0 + sqrt(1100) + 1 + sqrt(1100) + 4 + sqrt(1100) + 0 + 2)**2*-5.\nAnswer: -22045 - 600*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/11 + 702*q\/11 + 113040\/11.\nAnswer: -2*(q - 471)*(q + 120)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4616*p - 4616*p + 13846*p - 4616*p - 100 for p.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -37*x + 338. Let d be r(9). Solve -v - 6 = 3*l, d*l - v + 13 = -5 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.08751 and -0.72.\nAnswer: -0.0630072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -12. Suppose -x - 136 - 98 = -3*k, -219 = -l*k - 4*x. Let s = k + -18. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*w**2 + 5*w**2 + 3*w**4 + (-3 + 1 + 0)*(2 - 2 + 2*w**4) - w**4 + 0*w**4 - 4*w**4 + (-2 - 2 - 1)*(w**3 - w**4 - w**3).\nAnswer: -w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 292391?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a kilometer in meters?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-146)\/30 + 5)*1. Determine p so that 2\/15*p + 0 - q*p**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 34\/9 + (-4)\/(-18). Suppose d*b - 57 = -b + 4*r, -5*r = 2*b - 3. Let t be (21\/b)\/((-1)\/(-3)). Calculate the greatest common factor of 7 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, p: 7}. Give prob of picking 3 p.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + d - 51 - 274, 4*j - 260 = -d. Is 4 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2603 (base 10) to base 3\nAnswer: -10120102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 42 - 42. What is the biggest value in 3\/4, t, -0.1, -3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 4)\/(5\/((-180)\/48))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-7))\/1 + 51\/42. Let i = 2\/231 - 160\/693. Put i, a, -4\/7 in decreasing order.\nAnswer: a, i, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*n**2 - 38 + 15*n**2 - n + 65 + 47 + 241 to q*n**2 + k + s*n and give k.\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = -s - 3*s - 0*s, -7*s + 14 - 3 - 7 = 4*m + 16*s for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -85 + 112. Calculate the lowest common multiple of a and 117.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.35, -240, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.03646 * 21.34\nAnswer: -0.7780564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 0.0491?\nAnswer: 0.0491","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of -n**5\/30 + n**2. Let r(x) = -8*x - 4. Let d(u) = u + 1. Let p(o) = -4*d(o) - r(o). Calculate p(m(y)).\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s**4 + 56*s**3 - 68*s**2 - 320*s - 192 = 0. What is s?\nAnswer: -1, 4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*152\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 24954*c - 25273.\nAnswer: 24954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fifteen quarters of a microgram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3\/9 + 0 - 32056\/(-24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -120.0151 - -120. What is m rounded to three dps?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/23? (a) 0 (b) 0.02 (c) 106\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 - 6*b**2 + b - 3. Let u be p(6). Suppose -13 = u*q - 4*h, -2 = -2*q - h + 4. Let r be (3 - 15\/6)*q. Sort 0, -0.2, r in increasing order.\nAnswer: -0.2, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69354.9 decades to years.\nAnswer: 693549","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*d**6 + 2*d**6 - 4*d**6 + d**2 - 8*d**2 wrt d.\nAnswer: -840*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iccc when four letters picked without replacement from cccicbccccccic.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2464\/(-66) + 37)\/1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8384 - 192844\/23. Put 1\/3, -4, 0.2, o in increasing order.\nAnswer: -4, o, 0.2, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 493 a factor of 8551776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 278175.\nAnswer: 83452.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q + 2*y - 6, 6 = -4*q + 3*y - 5*y for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of q**4\/3 + 32*q**3\/3 + 39*q**2\/2 + 13*q + 3. What is the tens digit of g(-19)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-1*(-2 + sqrt(6300) + 1 + 3 + sqrt(6300) + 4))**2 + 5.\nAnswer: 720*sqrt(7) + 25246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112 is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 - 4*z**2 + z - 2. Let f be d(-5). Suppose v = -v + f. Suppose -3*b = -8*b + 25. What is the lowest common multiple of v and b?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 587 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 82 and 131774?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -327.\nAnswer: 1\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**3 + 48*g**2 + 17*g + 419. Determine z(-24).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 i when three letters picked without replacement from {i: 3, m: 9, w: 7}?\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 4*a**2 - 229*a - 695. Calculate the smallest common multiple of k(-3) and 496.\nAnswer: 3472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*q + 5*c, 0 = 3*q - c - 2 + 10. What is the units digit of 5 - (-2*1 - q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35011 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 6:14 AM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -6, 4, -2, 10077, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from vvvviiavi.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2708, -6580, -10384, -14120?\n\"Answer: 34*a**2 - 3974*a + 1232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -64*w**5 + 2992*w**4 - 33041*w**3 - 45265*w**2 - 9744*w - 576 = 0.\nAnswer: -1, -1\/8, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 438, -6\/11, -5, 17, 0.041, 5.\nAnswer: -5, -6\/11, 0.041, 5, 17, 438","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 4*w**3 - 3*w**2 + 5*w - 5. Suppose -5*h + 26 = -3*l + 5, -5*l = h + 7. Let n(x) = 5*x**3 - 4*x**2 + 6*x - 6. Calculate h*n(d) - 4*r(d).\nAnswer: -d**3 - 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from iiiiiiiiiciiiiiiiiii.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44 - 44 - 253*c.\nAnswer: -253*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1*sqrt(1000) + (sqrt(120) - (sqrt(120)*2 + sqrt(120)) - sqrt(120))\/sqrt(12)))\/((1*sqrt(20)\/sqrt(5))\/(sqrt(12)\/(sqrt(6)*2))).\nAnswer: -13*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3104148, 6208264, 9312380, 12416496, 15520612, 18624728?\n\"Answer: 3104116*l + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*r**3 + 160*r**2 + 260*r + 80.\nAnswer: 5*(r + 2)*(r + 4)*(5*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence war when three letters picked without replacement from {r: 1, s: 1, a: 1, w: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1170 - -1175. Solve 0 = -5*u - 10, p - 8 = s*p + 2*u for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1942 + 1.1942. What is the smallest value in -0.2, -2969, x, -1?\nAnswer: -2969","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 12:02 AM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -2292 at least as big as -16046\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 2 x when four letters picked without replacement from uuxduujuxuj.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 826851 (base 9) to base 13.\nAnswer: 1423b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-5 + 17)\/(-12))\/(1\/1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f + 50. What is the remainder when h(16) is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17.5 + 29.5. What is the third biggest value in 3, k, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1762292.\nAnswer: 2, 7, 62939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29*i**3*s**3 - i**3 + 11*i**2*s**3 - 1659*i**2*s**2 wrt s.\nAnswer: 174*i**3 + 66*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3*t - 3. Let j be g(-6). Let o = 25 + j. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 82.6 in 2\/7, -1, 3, 2\/5, 0.02?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 36*q + 9. Let b(m) = -9*m - 2. Let z(n) = -9*b(n) - 2*v(n). Let g(j) = 2*j. Determine g(z(s)).\nAnswer: 18*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2965.\nAnswer: 5, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 + 4*m + 4. Let q(o) = -o**2 + 5*o + 5. What is 5*i(f) - 4*q(f)?\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -78, -121, -238, -465, -838?\n\"Answer: -6*b**3 - b**2 + 2*b - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -35*n**2 + 25*n + 2. Let k(y) = -69*y**2 + 47*y + 3. Calculate 7*j(l) - 4*k(l).\nAnswer: 31*l**2 - 13*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -6 + -1 + 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12757.\nAnswer: 12757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 112 - 64. Let j = 47.67 - p. Round j to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -3*r - 9, 3*l - r - 2*r = 3. Suppose 0 = -4*t - 8, -4*t = -f - 3*f + 16. Solve 0 = f*g - 1 + l for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a**2. Let f(s) = -27 - 10*s**2 + 27 - 7*s**2. Give l(f(o)).\nAnswer: 578*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 9*f**2 - 4 - 11*f**2 + 2 + 2. Let k(j) = 2*j**2 - 60*j. Calculate k(s(c)).\nAnswer: 8*c**4 + 120*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -113 - -113. Let p(o) be the second derivative of 1\/80*o**5 + 0*o**6 + z - 2*o + 0*o**2 - 1\/168*o**7 + 0*o**4 + 0*o**3. Factor p(k).\nAnswer: -k**3*(k - 1)*(k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68898051.9 rounded to the nearest one hundred thousand?\nAnswer: -68900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 6) to base 10\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -3, -3322281 in ascending order.\nAnswer: -3322281, -3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*c + 3*c - 5*c)*(0*c - 2*c + 3*c) + c**2 + 3*c**2 - 3*c**2 + (165 - 7*c - 165)*(-2 + 2 + c) - 2*c**2 - 2*c**2 + 5*c**2 as g*c + l + t*c**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -5*d + 20 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of 4 + 5\/4*a**4 - 5\/3*a**3 - 11*a + a**2. Is n(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in 2\/9, 0, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence prr when three letters picked without replacement from upurupruu?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 5:44 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1975, -2031, -2145, -2347, -2667, -3135?\n\"Answer: -5*v**3 + v**2 - 24*v - 1947","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.7 + 11.7. Let h = y - 7. Put -5, 2\/15, h in ascending order.\nAnswer: -5, 2\/15, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -103.35 + 70.35. Which is the second smallest value? (a) -3\/5 (b) u (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/5))**(-4)\/(v\/v**(-1))**(-13) assuming v is positive.\nAnswer: v**(122\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 4*m = -72, -4*d + 2*d - 3*m = -36. Suppose -g + 4*g - d = 0. Suppose -g*v + 5*v = -38. Is v a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -6 + (-8 - 0 - -6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(3\/7))\/y**(1\/4))**48\/(((y*y*y*y**(1\/5)*y*y*y)\/y)\/(y\/(y*y**(5\/3)*y)*y))**(14\/9) assuming y is positive.\nAnswer: y**(43366\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 2*p - 2016 - 1214, -2*f = 5*p - 1619. Is 37 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200*q - 25 = -205*q, -3*m = -2*q + 7 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 195972*o**3*u**2 - 24*o**3*u + o**2*u**2 - 2*o**2*u + 5*o**2 - 23*u - 5 wrt u?\nAnswer: 391944*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -3\/4, -3, 5, -2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -13e (base 16) in base 5?\nAnswer: -2233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 6:35 AM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.03 - -0.27. Which is the second smallest value? (a) 1\/3 (b) -3 (c) l (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 0.4, -11, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 4, 3, -0.2, 24.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/218 and -125\/18.\nAnswer: 1962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96) + sqrt(24))*6)\/((sqrt(48)\/(-2*sqrt(6) - sqrt(6)) - sqrt(8)) + sqrt(8)).\nAnswer: -54*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 + 4*a. Let y be n(3). Suppose -y = -4*f + 1. Calculate the remainder when 20 is divided by 2 + 1*(f + 4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 35 + 15 = 0. Suppose -n = 5*r - 12, 11 = 4*n + 4*r - d. Solve n*y = y + 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2115306 - -2012?\nAnswer: 2120321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 412240.\nAnswer: 2, 5, 5153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18\/9 - (1 - 0). Let m(u) be the third derivative of 35*u**2 - 1\/6*u**3 + 11\/24*u**4 + 0*u + 0. What is m(j)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 10) to base 2.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 872743113?\nAnswer: 3, 11, 267139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**18*((z*z**3*z)\/z*z)\/(z**(-2\/7)*z)*((z\/z**(-4\/3))\/(z\/(z*z*z**0)))**6 assuming z is positive.\nAnswer: z**(296\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Is 7080995 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*u**3 + 5*u**3 - 9*u**3 + 3*u**2 + (-1 + 1 - u)*(0*u - 12*u + 4*u - 5*u**2).\nAnswer: 9*u**3 + 11*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 7*h**2 + 5*h - 5. Let c be q(7). Let u be (-6)\/4*c\/9. Let j(z) = -2*z**3 - 2*z**2 - z - 4. Is j(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**2 + 3*h**2 - 2*h**2)*(h**2 - 5 + 5 + (1 + 3*h - 1)*(-h + 3 - 3)).\nAnswer: 2*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 516 + 9014?\nAnswer: 952a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -582*f = -591*f + 54. What is the smallest common multiple of 953 and f?\nAnswer: 5718","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(336) + sqrt(336)*-3)*-1 - sqrt(336) - sqrt(336))\/(-4*sqrt(768))*-1 + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 274 and 116.\nAnswer: 31784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1221 - 1162. Are -11 and z non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -344 and -347 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 60\/14 + 4\/(-14). Suppose 0 = -4*w - 4, 2 = 5*q + z*w - 4. Which is bigger: q or -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35 + -33. Let u(y) = 3 - 11 + 2*y**m - 2 - 6*y. Is u(-4) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117 - 117 - 6*t + t.\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10427 by -13.\nAnswer: -10427\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 + 11*w - 9. Let k = -12 + 18. Let q(n) = -n**2 + 6*n + 7. Let g be q(k). Is t(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 + 6*l. Let q be g(8). Let p = -53 + q. Let b = 21 - p. Does 10 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + l**2 - 1. Let u(n) = -6*n**3 + 5*n**2 + n - 6. Let d be (-4)\/(-6) + (480\/(-18))\/10. Let s be d\/(-4)*3*(-12)\/9. Calculate s*u(g) + 10*b(g).\nAnswer: 2*g**3 - 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 420 and 24?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 - 11. Suppose s*v + 0*v = 0. Solve v*i - 3*i - 4*n = 10, -2*n = i + 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/20)\/((16\/12)\/((-15)\/9)).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, g: 6, j: 3, l: 1, o: 2}. What is prob of picking 2 p and 1 g?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2688 divided by 96.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03584288266 rounded to 3 decimal places?\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (96*u - 200*u + 103*u)*(u**2 + u**4 - u**2) + 2*u**2 - u**5 - 2*u**2.\nAnswer: -2*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -f - 3, -a - 3 = -3*a + 5*f. Let w be ((-18)\/81)\/(a\/18). Solve 3*p + p - w = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/75*((5\/45)\/((-26)\/(-1755)) + -10)?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1090115556.7 and 0.2.\nAnswer: 1090115556.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3021*f**2*y**2 - 2*f**2*y + f**2 + 24*f*y - f + 126*y**2 + 6*y wrt f.\nAnswer: -6042*y**2 - 4*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 + 44 + 254)*(3 - 3 - 2)*(-2 + 0 + 0)*(3*n + 0*n - 5*n)*(-89*n**2 + 121*n**2 - 63*n**2).\nAnswer: 69192*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1129, 1721, 2707, 4087?\nAnswer: 5861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*r**3 + 129396*r**2 + 1394629863*r - 13959241230 = 0. Calculate r.\nAnswer: -21571, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 57\/2 in -3\/4, -0.3, 5, -1\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3079 - -3118. Calculate the lowest common multiple of y and 29.\nAnswer: 1131","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 230312 (base 4) to base 7.\nAnswer: 11240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.6 in -0.3, 0.08, 48?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 721556.\nAnswer: 2, 11, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -4*n**2 - 5*n + 1087300. Determine f(-522).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52934*833.\nAnswer: -44094022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 62 = -5*n - 0*n, s = 2*n + 27. Which is smaller: s or 40?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-95)\/(-30) + -3 + 26\/(-12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - 0 - (-30 - -30 - -9).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 23*p. Suppose -5*t - n + 12 = 0, 6*n - 8 = 2*n. Let y(i) = -12*i. Calculate t*b(h) + 5*y(h).\nAnswer: -14*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 443*z = 445*z - 1046. Suppose 0 = 530*u - z*u - 18193. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1580694*q**5 - 364*q + 128.\nAnswer: -31613880*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 105779041?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - 63*l - 552. What is the smallest common multiple of n(-8) and (45\/10)\/((-6)\/(-56))?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -530 + 602 = 12*x. Solve 0 = -u - 3*r + x, -u + 2*r + 8 = 7 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 183 = 14*s - 2*z - 51, -3*z = -5*z - 8 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 19*y - 17*y = -14, 2*v + 4*y = 2. Suppose -3*l + 459 = -g, -3*l - 106 + 583 = v*g. Does 11 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323832 minus 3?\nAnswer: 323829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 13. Let c = 21230\/9 - 106168\/45. What is the third biggest value in c, g, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 670, 719, 800, 913, 1058?\n\"Answer: 16*h**2 + h + 653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in -4, -1, -29979, 27?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + p - 998, -2*d = -6*d + 2*p + 804. Suppose 2213 + d = g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 220190?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -34*y + 22. Let z be c(1). List the prime factors of (3500\/(-56))\/(2\/z).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 3\/(-9))*(1 - -128). Let s = -148 + n. Calculate the smallest common multiple of s and 15.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19117 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7, -28, -59, -100, -151?\n\"Answer: -5*x**2 - 6*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -851.05 and 2.\nAnswer: -1702.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in -3, -5, 1394\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 50255 and 50254 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of -b**5\/60 + 3*b**4\/8 - b**3\/3 - 7*b**2\/2 - 4*b. Let v(q) be the first derivative of l(q). Let n = -3 - -11. What is v(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s - 26000005. Let f(r) = 2*r + 26000006. Let d(j) = 5*f(j) + 6*x(j). Let i be d(0). What is i rounded to the nearest one million?\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 259 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y + 3. Let t be z(0). Differentiate 2 + 4*s**4 + t - 2 wrt s.\nAnswer: 16*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8165*j + 255261 = -271260 - 28699 for j.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of 74*t**3 + 41*t**2 + 68. What is the second derivative of b(g) wrt g?\nAnswer: 444","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 316128 a multiple of 148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.7 and 15860?\nAnswer: -11102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 - 0.3. Let m = 606 + -605.9. Sort a, m, 2.\nAnswer: a, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14846 = 4*a - 17*a. Suppose j + 2*v - 204 = 88, 4*j - 5*v - a = 0. Calculate the greatest common divisor of j and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 5*b**3 + 813880*b**2 - 3255580*b + 3255600 = 0.\nAnswer: -162780, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 440 and 484?\nAnswer: 4840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*b**4*s**2 + 31*b**4 + 3*b**2*s - 2*b*s + 90*s**2 wrt b?\nAnswer: -216*b*s**2 + 744*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 693 greater than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 3*h = -1488, 2*n + 4*h - 5*h = -990. Is -493 at most n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of l**4\/14 + 2*l**3\/21 + 6. Factor w(p).\nAnswer: 2*p**2*(p + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**0)**(-1\/4)*v**(1\/5)*v*v**8)**(-3\/5) assuming v is positive.\nAnswer: v**(-138\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/7, 292, 0.2, 5, 0?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13312559 to the power of 1\/2, to the nearest integer?\nAnswer: 3649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 3*h - 6. Let q be g(6). Let t = -9 + q. Suppose -t*u = -2*y - 92, 0*u - 3*y - 93 = -3*u. Does 10 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 84207?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 551 + -10404?\nAnswer: -7633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - j - 30 = -11, -3*j - 27 = -5*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1203 + -4815\/4. Which is the biggest value? (a) -18 (b) 0.06 (c) m (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -45 - -704. Let x = 658.99998508 - g. Round x to six decimal places.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9729 in 2\/7, 4, 3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 463 is divided by 132?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 - 26. Let h = -0.02 + -0.38. Let q = h + -2.6. Sort q, t, -0.3 in decreasing order.\nAnswer: -0.3, q, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19813 - 19967 = -14*v. Solve -2*l + 5*r = 15, 0 = 10*l - v*l - r + 3 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47401719 is divided by 3229.\nAnswer: 3228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -1384*g - 33213. Let y be v(-24). Factor -1\/2*z**2 + 1\/2*z + y.\nAnswer: -(z - 3)*(z + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2326250 + -1?\nAnswer: 2326247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6099 divided by 107?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*p - 318 = -36*p. Let j = p - 89. Solve -2*h = -2*r + 5*r, -5*h = -r + j for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 6*k + 1896 = 0. Is k a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f**3 + 4*f**3 - 4*f**3 + (-5*f + f + 2*f)*(-4*f - 2*f**2 + 4*f) - 82*f**3 + 286*f**3 + 60*f**3 in the form g + c*f**2 + r*f**3 + j*f and give r.\nAnswer: 266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128 - 128 + 126*n.\nAnswer: 126*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 144\/32 + (-1)\/2. Let g = 24 - 36. Let y be (-5)\/((g\/3)\/p). Solve -v = -3*d - 7, 17 + 2 = -y*v - 3*d for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i + 17*i - 1314 = 0. Let g = i + -75. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.414 + -7.5. Let k = r + 3.786. Let a = k - 0.4. What is a rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s**3 + 5*s**2 - 3*s + 6. Let a be c(3). Let o = a - 120. What is the greatest common factor of 4 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19554 divided by 6518?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of t**4\/4 - 13*t**2. Let x be c(-12). Let g = x + 117. What are the prime factors of g?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tdbq when four letters picked without replacement from {q: 1, t: 1, b: 2, d: 4, z: 2}.\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 414 divided by -1\nAnswer: -414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -3*x**3 + 189*x**2 - 798*x - 4176 = 0.\nAnswer: -3, 8, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 3*t**4\/5 + 20562*t**3\/5 + 20556*t**2\/5 - 20562*t\/5 - 20559\/5 = 0?\nAnswer: -6853, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 5. Let k(x) = 51*x - 16. Let u(p) = 34*p - 11. Let l(m) = -5*k(m) + 7*u(m). Let f be l(r). Round f to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 3:02 PM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-8\/7)\/(k**30*k) assuming k is positive.\nAnswer: k**(-225\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/6784 and 99\/32?\nAnswer: 6784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/(-6) + 975\/585?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000113875 rounded to 5 dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 491 + -487. Suppose -2*z + 14 = p*q, 6*z = 3*q + 4*z - 28. Suppose -w + 4 = -4. What is the highest common factor of w and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + -1. What is the nearest to -1 in 0.2, -0.2, t?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92 - (-44 + 194 + -141).\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 77, 80, 83?\n\"Answer: 3*f + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0504 - -24.2496. What is b rounded to 0 dps?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 14, 5, -59, 3 in decreasing order.\nAnswer: 14, 5, 3, 0, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 29 = -3. Calculate the remainder when 25 is divided by l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (11 + (3 - 12)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 12:18 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + j + 2*j**2)*(j**3 + 4*j**2 - 4*j**2) + 0*j**5 + 3*j**5 - j**5 - 5 - j**5 + 5 - j**5 + 2*j - 2*j - 4*j**5 + j**5 + 4*j**5.\nAnswer: 3*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2607558901 to the nearest integer?\nAnswer: 1376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -6 - 1 - 3*j + 3 + 3 + 3*j**2 + j**3. Let a be z(-4). What is the biggest value in -1\/2, a, -4\/7?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*j - 1975066923 - 2879722077 = 0. Round j to the nearest one million.\nAnswer: -180000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 0.3, -0.08, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 0 - 28 = -3*t, -4*r = 4*t. Solve -4*d + 3*d = -t*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000030394 rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -110*702\/9009*(-14)\/(-4)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*n - 65*n**2 - 146*n**2 + 38*n**2 - 8*n**2 - 4*n to s*n**2 + t + w*n and give s.\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -80*(2 - (-25)\/(-10)). Suppose u - x = -g - g, 5*g - 52 = -u. Let o(j) = u*j + 5*j - 2*j. Let r(i) = i**2. Calculate r(o(d)).\nAnswer: 1225*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9965701*o**2 - 27657119.\nAnswer: 19931402*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*1 - (7 - 5). Suppose -5*w = 3*q + 15, -q + 4*q - 2*w - 6 = v. Solve o + 0*f + f = 4, q = -4*o + 5*f + 16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2526811 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1))**18*(j\/(j\/j**(-4\/7)))**(1\/7) assuming j is positive.\nAnswer: j**(-886\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -1102?\nAnswer: -1120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 0.069.\nAnswer: 0.0069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -3*v - 2*j + 169, -154 = -3*v - 2*j. Let o = 5 - 70. Let p = v - o. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -o - 16. Let f be -1*(-4)\/(o\/82). Let x = 75 - f. Does 11 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-55)\/(-130)*648\/594?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/5*85\/(-34). Let o(n) = n**2 + 6*n + 2. Let v be o(-5). Is v < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 5)*-11 + (914\/(-39302) - 42\/43)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -12*j + 179. Calculate s(15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/15 + 1851\/(-60). Let z = -52 - q. Calculate the common denominator of -109\/6 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7464513 and -0.029764536.\nAnswer: 7464512.970235464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.24199 days in hours?\nAnswer: 1685.80776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/12 - (-82)\/984. Which is the closest to p? (a) 0.4 (b) -2 (c) 1\/6 (d) 15\/79\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 4 = -4*f, -4*w + 6 = f - 13. Let b(z) = -3 - f + 2 - z. Let g be 2464\/(-77) + (9 - -16). Determine b(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (1*sqrt(343) - sqrt(343)))**2*-3 + (5*sqrt(343)*-1 - sqrt(343)) + ((sqrt(343)*1 + 4 - sqrt(343)) + sqrt(343))**2.\nAnswer: 14*sqrt(7) + 356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f\/f**(-1)*f))**(37\/2))**(-15))**(-3\/46) assuming f is positive.\nAnswer: f**(-1665\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/25)\/((-4)\/(-20))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3586 divided by -19\nAnswer: -3586\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -18 (b) 9 (c) 3\/4 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of k**4\/12 - k**3\/2 + k**2 - 3*k + 16. What is the smallest common multiple of 26 and j(4)?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5307, -5310, -5313, -5316?\n\"Answer: -3*f - 5304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 347*w**2 - 114222*w - 774847508?\nAnswer: 694*w - 114222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28308.013737 - -28308. What is b rounded to 3 decimal places?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 10:09 PM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -39036*o + 819730. Calculate m(21).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rvm when three letters picked without replacement from rsskmvmt.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 y, and 2 t when four letters picked without replacement from ltyllttlntyttlo?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3\/7)\/l)**(2\/147) assuming l is positive.\nAnswer: l**(-20\/1029)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 55321 and 1029.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*i + 5*m, 2*i = -i - 5*m + 24. Find the third derivative of -100*b**2 - i*b**3 + 8*b**4 + 10*b - 9*b - 3*b**3 wrt b.\nAnswer: 192*b - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11740 - -19?\nAnswer: -11721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 - 6*b + 10. Let y = 190 - 197. Calculate x(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 7. Suppose 0*d - 4*u = 5*d - 20, -5*u = -3*d - 25. Suppose -4*a = -4 - d. Calculate the greatest common divisor of a and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 285 and 292620.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -407*f + 54341912 = 9564993. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -592*i + 86*i - 2215*i in the form y*i + s and give y.\nAnswer: -2721","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 16 - 4 = 0. Solve 5*o + 6*h - 25 = 3*h, -2*o - 3*h = -q for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, f: 1, c: 1, u: 2, b: 2}. What is prob of sequence cb?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17549480?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (34\/8 - 58730\/14263) + 4\/34?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5670.082t?\nAnswer: 5670082000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*u + 3*t - 176229, -u + 30*t + 11043 = 27*t. Does 9 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 - j + j)*(-21*j**3 + 28*j - 28*j) - 2*j**5 - 19*j**2 + 4*j**5 + 18*j**2 - 1 - j**4.\nAnswer: -19*j**5 - j**4 - j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 5965\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1258 + 1347. Calculate the greatest common divisor of t and 356.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -5*z. Suppose h - 1 = 2*h - 2*a, 3*a - 3 = 0. Let x(j) = 7*j**2 - 6*j + 4. Let k be x(h). Let c(s) = 89 - 89 + k*s**2. Calculate n(c(r)).\nAnswer: -25*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6398b7 (base 14) in base 4?\nAnswer: 30312122221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d - 3. Let z(t) = 3*t - 4. Suppose -3*c - 2*h = -2, 2*c - h - 1 = 12. Let p(q) = c*z(q) - 3*k(q). Let l be 20*(-1)\/(-1 + -3). What is p(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 1\/8054 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (124\/678)\/((-4)\/6). Let s = u + -9725\/2034. Calculate the common denominator of s and (-1)\/((-1)\/(58\/32)).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48631629413 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*m**2 + 1\/3 - 2\/3*m.\nAnswer: (m - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1469\/29415 - 4172022242\/2264955. Let i = 1842 + a. Is i > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6153662*j**2*u**3 + 24*j**2*u - 372*j*u**2 - 88*u wrt u.\nAnswer: -36921972*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 38 = -4*b, -2 = 5*b - 3*h - 9 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210*i + 13*i = -115*i + 1640 for i.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 17, -1, -4, 1 in descending order.\nAnswer: 17, 1, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -332512254983 minus 3?\nAnswer: -332512254986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12 and -2.2943244?\nAnswer: -27.5318928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -35 (b) 1 (c) -3.63 (d) -3\/4 (e) -3 (f) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**3 - 16506*x**2 - 99165*x + 115668 = 0. Calculate x.\nAnswer: -7, 1, 5508","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1732614 and -0.211.\nAnswer: -0.0365581554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -50*w + 2536. Calculate the remainder when x(43) is divided by 99.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6135007259.\nAnswer: 37, 307, 540101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -54257.0252 from 26.\nAnswer: 54283.0252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i - 1. Let t(n) = n + 2. Suppose 4*y = -o + 80, 2*y + 0*o - 40 = o. Suppose -25 = 5*b - y. What is b*t(s) - 3*q(s)?\nAnswer: 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -155221*t - 620902. Calculate f(-4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 50*u**3 - 295*u**2 + 420*u + 45 = 0.\nAnswer: -1\/10, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.14 + -2.34. Let d = z + 0.2. Let w = d + 2.1. What is the nearest to w in -0.2, -3\/2, 1\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6550143*d**2 + 10940500*d?\nAnswer: 13100286","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: (6\/5)\/((-4158)\/3080)\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -20213425, -40426878, -60640331, -80853784, -101067237?\n\"Answer: -20213453*q + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fifty-one halves of a millennium?\nAnswer: 2550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 6102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3437565ml to litres.\nAnswer: 0.0003437565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13143 - -13152. Solve r = -r - 5*p - k, 7 = -3*r - p for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*v - 3 = 16*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ek when two letters picked without replacement from {m: 1, p: 1, e: 1, d: 2, k: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.12961 and -15?\nAnswer: 14.87039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 11:44 PM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, -46, 13 in decreasing order.\nAnswer: 13, -43, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -7, -9, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 1008.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 295094705 or 1?\nAnswer: 295094705","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37042*d**2 + 20*d - 611 wrt d?\nAnswer: 74084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 257118130 to the power of 1\/2, to the nearest integer?\nAnswer: 16035","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-9) - (-47)\/(-3). Let a(v) = -62*v - 260. Let q be a(-4). Let x be q\/m + (-1)\/(-4). Sort 1\/5, x, 1\/2 in ascending order.\nAnswer: 1\/5, 1\/2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2236613.\nAnswer: 37, 60449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 194 + -186. Let c(p) = 14*p + 7*p - 7*p + 7 + p**2 + 5. Calculate the lowest common multiple of d and c(-14).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 <= -0.858?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/35 and -113\/28680.\nAnswer: 200760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of -199*a**6\/6 - 565*a**3 - 969*a**2 - 3. What is the derivative of i(k) wrt k?\nAnswer: -11940*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.041 - -143.4374?\nAnswer: 143.3964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2*1\/2*(-123)\/41\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, -1, -5 in increasing order.\nAnswer: -5, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -5*k - 1. Let a be d(-1). Suppose 2*x - 1 = t, -5*t = -2*x - a - 7. Factor 60*z**t + 26*z**5 - 75*z**4 - 7*z**5 + z**5 + 22*z**2 - 2*z**2.\nAnswer: 5*z**2*(z - 2)**2*(4*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a factor of 289115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 8 = 3*o, -3*r - r - 7 = -3*o for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - 3. Let b(g) = 6*g**2 - 32 - g**2 + 75 - 28 + g. Suppose 0 = i - 6*i + 10. What is i*b(p) + 11*s(p)?\nAnswer: -p**2 + 2*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(3\/(3\/(-2))). What is the units digit of (5 + -4)\/v*2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-4) + 165\/(-60). Let w be 29 + (4 - 3)*g. Let b be 1\/(-2) + 13\/w. Solve 4*d = -b*d - 20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -151 - -217. Let x = m + -69. Sort -4, 0, 1, x.\nAnswer: -4, x, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u**3 - 5*u**2 + 3*u + 68. Let s(z) = -3*z**2 + 2*z + 2. Calculate q(v) - 2*s(v).\nAnswer: -2*v**3 + v**2 - v + 64","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.08401 and 1622.\nAnswer: 1622.08401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4568 + 4568.1. What is the smallest value in -0.3, -2, -3\/2, w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/7588 and 89\/127512.\nAnswer: 34555752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.4947619g?\nAnswer: 494761.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-113 - (21 + -55 + 25)) + -10?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 741 + 4b?\nAnswer: 78c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.104, 0, -0.24, 92, -2\/11?\nAnswer: -0.104","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3055 - 3047 - (-1 + 67)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.3 + -5. Which is the second smallest value? (a) -1\/7 (b) d (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 14. Let k be x\/(-20) - 252\/(-20). Let z = 8 + k. Calculate the highest common factor of 63 and z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*n - 168 = 32*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 - 19 - 2*k - k**2 + 5*k**2 + 13. Let s be d(-4). Let y(j) = 4*j**2 - 2*j. What are the prime factors of y(s)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/2*1\/(-35)*96920\/4846.\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5093.8844 rounded to the nearest 100?\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 9*s**2 + 89*s + 5. Let b(d) = 91*d**2 + 889*d + 49. Let j = -115 - -164. Let x(n) = j*h(n) - 5*b(n). Find the second derivative of x(q) wrt q.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:00 PM and 10:17 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -52*l**2 + 36*l. Let i(q) = -55*q**2 + 45*q. Let x(k) = 5*a(k) - 4*i(k). Let u(s) = 33*s - 2. What is u(x(m))?\nAnswer: -1320*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 8*x. Let a(j) be the third derivative of -7*j**5\/60 + j**4\/3 - 13*j**3\/6 + 15*j**2. Let n be a(3). Let w(c) = -c. Give n*w(k) - 6*l(k).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -14 - -8037?\nAnswer: 8023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -63888 or -63886?\nAnswer: -63886","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 AM and 3:56 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, -26\/17, 2, 3, -0.1 in ascending order.\nAnswer: -26\/17, -0.1, 2, 3, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1813, -1824, -1851, -1900, -1977?\n\"Answer: -x**3 - 2*x**2 + 2*x - 1812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**3 - 32*g**2 + 25*g - 26. Calculate z(15).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 4*c**3 - 41*c**2 + 46*c - 196. Give b(12).\nAnswer: 1364","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -44 - -25 - (-32 + 1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -41 and 35?\nAnswer: -1435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 134906 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 80192?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert b9c834 (base 14) to base 9.\nAnswer: 12755864","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 5*v - 4. Let a be g(4). Suppose 3*s + s = a. Suppose 4*m + 11 - 83 = 0. Calculate the least common multiple of s and m.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/2)\/(2\/(-10)). Suppose 875 = k - 5*b, 4347 = o*k - 0*b + 3*b. What is k rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 211955401?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000004945 rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 113405705147 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30209870 and 6850?\nAnswer: 1370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.997498ml in litres?\nAnswer: 0.002997498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 5:03 AM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3123*b + 3177*b - 2*b**3 + b**3 - 3*b**2 - 3*b**3 - 3*b**2 to p*b + i*b**3 + h + g*b**2 and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/13))**(5\/11)*u**(-18)\/(u\/u**0) assuming u is positive.\nAnswer: u**(-2707\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 7*n - 80. Which is the second biggest value? (a) n (b) 0.1 (c) 0.0019\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17295.9 to the nearest 100.\nAnswer: 17300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q - 6. Let v(a) = -3*a + 1. Let j be v(3). Let s(z) = z + 14. Let b be s(j). Let m be (b - (4 - 0))*-3. Give g(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*c + 2*c - 4*c)*((0 + 2 - 1)*(3 - 6 - 6) + (0 - 3 + 2)*(-1 + 3 - 4) + (0 - 4 + 3)*(4 + 4 - 6) + 2 + 28 - 2) to m*c + d and give m.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -14*b**2 - b + 24. Let t(m) = 8*m**2 + m - 13. Let u(z) = 3*c(z) + 5*t(z). Determine u(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -966, -1929, -2892?\n\"Answer: -963*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - 19*l**2 + l - 7. Let k be i(19). What is the highest common factor of 3 and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17642640 divided by -636\nAnswer: -27740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 15.3, -0.2, 0.5?\nAnswer: 15.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 369863.\nAnswer: 13, 23, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, x: 1, w: 2, u: 1, f: 2, i: 2}. What is prob of picking 1 q, 1 x, and 1 f?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*(t*t*t\/t**(1\/4))\/t*t**1\/t*(t\/((t\/t**(-1))\/t)*t)\/t**(-1\/5) assuming t is positive.\nAnswer: t**(79\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -6. Let s be o*-4*(-1)\/2. Suppose -h - s*h = -15. Is h even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.6556 - 34.3444. Which is the fourth biggest value? (a) m (b) 2\/9 (c) 0.1 (d) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 + 66 - 14 - (2 + -6 + 3 + -68).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -5. Let t = -11 + 18. Suppose -3*x + t = 1. Solve x = r*k - k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4 + 20*r**3 - 3*r**2 - 58*r + 40.\nAnswer: (r - 1)**2*(r + 2)*(r + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -685*z**3 - 9*z**2 + 26*z + 69. Is n(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 + 7*b + 8. Let c be s(-6). Suppose 2*u - p - 48 = 0, 21 = -3*u - c*p + 107. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24570981, 24570982, 24570983, 24570984, 24570985, 24570986?\nAnswer: 24570987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 1, 562757, -3, 4 in descending order.\nAnswer: 562757, 10, 4, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1036161 and -15.\nAnswer: 15542415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 24*s + 32. Determine h(-6).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of h**9\/20160 + 3*h**8\/8960 - h**7\/840 - h**6\/80 + 5*h**4\/2 + 72*h - 1. Let w(v) be the third derivative of k(v). Factor w(f).\nAnswer: 3*f*(f - 2)*(f + 2)*(f + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 654389187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -2*l - 8, 4*l = -6*w + 3*w - 9. Is -2\/71 equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 108 in -2, -2\/5, -4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11128 at most 11034?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -165880 divided by 8294\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 3*u**2 - 89 - 2*u**2 + 74*u - u**2 + u**2.\nAnswer: u**2 + 74*u - 88","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 306\/85 + 3\/(15\/2). Suppose 12960 = 16*x + j*x. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 18772, 18790, 18782, 18736, 18640, 18482, 18250?\n\"Answer: -2*u**3 - u**2 + 35*u + 18740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 8 = -0*k. Suppose -2*v + 7 = -3*j, -4*j = v - j - k. Suppose 4*m + 49 = v*m. What is the remainder when m is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13457 (base 13) to base 5\nAnswer: 2122100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 439994896?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 4908*j**3 - 29*j**2 - 11*j - 42. Let m be i(23). What is m rounded to the nearest 1000000?\nAnswer: 60000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -3 + (8 - 5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*t - 1656 = -22*t. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - p = -10, -245*r = -242*r - 3*p + 18 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1138933 is divided by 254.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 3 + 14 = 10*l, -4*m - 2*l = 2*l for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 5*p + 12 = 0, 9*p - 16 = 4*q + 2*p. Sort -2, q, -5, 31 in decreasing order.\nAnswer: 31, -2, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1)*q)**(-10)\/((q\/q**5)\/(q*q*q\/q**(2\/23)*q*q)) assuming q is positive.\nAnswer: q**(205\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -87*g + 93*g - 30 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12234, -24453, -36662, -48855, -61026?\nAnswer: -73169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + (sqrt(704) + sqrt(704)*-3)**2 - ((sqrt(132)*-4)\/sqrt(12))**2) + -5 + 4*-2*sqrt(11)*-1.\nAnswer: 9*sqrt(11) + 2635","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(343) + -1) + 3 + (sqrt(7) - sqrt(63)\/(sqrt(45)\/sqrt(5))).\nAnswer: 2 + 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 110.07 + -110. Let g = 26.5945068 - 26.5245. Let r = g - w. Round r to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 34, 97, 216, 409, 694, 1089?\nAnswer: 1612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**2 + 3*f**2 - 4*f**2. Let p(b) = 4*b**2 - 4. Let n(z) = -12*z**2 + 11. Let u(v) = -4*n(v) - 11*p(v). Determine u(m(g)).\nAnswer: 4*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.2 - -2.1. Sort u, 2\/9, -0.3 in decreasing order.\nAnswer: 2\/9, u, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 8. Suppose 4*s + j*x = -0*x + 112, -4*x + 16 = 0. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 + 8*f + 9. Let g be v(-7). Let d(q) = 0 + 0*q + 2*q - g + 1. Let j be d(2). Solve j*x + 15 = -0*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2 - 2186*s - 150951.\nAnswer: (s - 2253)*(s + 67)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1513 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 5, -1.282, -0.01, 83?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5 - 84\/(-18))*6117. Is -2039 less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 times 159.63?\nAnswer: 7.9815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(2\/5)*d**1*d)**48)**(-2\/23))**(6\/11) assuming d is positive.\nAnswer: d**(-6912\/1265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 2 + 5. Let t be (-3)\/u - (-52)\/(-20). Is -0.6 not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5\/13 - -3\/13. Suppose -1 + 2 = -l. Sort x, 2, l.\nAnswer: l, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1302198324 to the nearest one hundred thousand.\nAnswer: -1302200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u + 1. Let l be h(3). Let x be l\/4*(-4)\/(-2). Let k(w) = -2 + 0 + 2 - w**x. Let g(z) = -z. Calculate g(k(f)).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 136755347 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m - 24*d = -144, 4*d - 20 = -4*m - 5 + 3 + 6 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 161182830*m**3 + 3*m + 14763954.\nAnswer: 967096980*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9451607.\nAnswer: 11, 19, 41, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.85 - 0.15. Let c = 62 - 184\/3. What is the nearest to c in j, -2, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 21\/2 of a centimeter?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*h*s**2 - 1973*h + 33*s**4 - 2*s**3 - 2 with respect to s.\nAnswer: 22*h*s + 132*s**3 - 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 629607.9 hours to days.\nAnswer: 26233.6625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 6*b**2 - 99*b - 544. Calculate r(-7).\nAnswer: 443","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -335065586, -670131172, -1005196756, -1340262338, -1675327918?\n\"Answer: i**2 - 335065589*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14 and -179.2?\nAnswer: -2508.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = 14*j - 32, 134*c - 133*c + 1 = j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d - 475*d**3 + d + 1668*d**3.\nAnswer: 1193*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 255 a factor of 995036?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-612)\/3825*(-90)\/(-24)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 39\/29, 3, -20\/9, -0.3?\nAnswer: 39\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 20\/25*5 - (2 - 0). Suppose -43 - 179 = -u*p. Calculate the remainder when p is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, z: 12}. Give prob of sequence dz.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -6 - (1 + 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - 3*w + 0*w + (3 - 4 + 3)*(-w + 2*w - 3*w) + 27*w - 35 - 19*w + 36)*(3*w - 3*w + w**2).\nAnswer: 3*w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12719532 - 7084332. Round s to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*n**2 + 13*n**2 - 29*n**2)*(2 - 2 + 2*n)*(-3 - 2 + 3).\nAnswer: -20*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) -5 (c) 3\/1097\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -9 + 4*l - 3*l + 2. Let t be s(9). Suppose 2*a + 65 = 15*a. Solve -t*j = -a*j + 12 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-20)\/(-30) + 7\/3. Suppose 258 = 4*m - q*m. Suppose 5*d - m = -2*b - 24, -2*b - 54 = -d. What is the greatest common divisor of d and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pczdvzlzcppz. Give prob of sequence zc.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*o**2\/4 + 11199561*o\/4 + 302691\/2 = 0 for o.\nAnswer: -2\/37, 100897","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (2 + -10)) + -14 + 9 - 13?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 591*u**5 - 685*u**5 - 310*u**5 + (-u**3 + u - u)*(-2*u**2 - u**2 + u**2).\nAnswer: -402*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 127276 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 10*d + 235. Let r(p) = -11*p**2 + p - 2. Let c be r(-2). Which is bigger: c or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -4*l + 15, -n + 3 = -2*l - 2. Suppose -1 = 2*b - b - n*k, -3*k - 3 = 0. Calculate the remainder when ((-3)\/b)\/((-1)\/(-40)) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1024955 is divided by 6833.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 162830873 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**7\/((k*k\/k**(-1))\/k*k)*k**(1\/5)\/(k\/(k*k\/((k**(-7)\/k)\/k)))*k**3\/k**(-1\/4)*(k**1\/k)**(-32\/5) assuming k is positive.\nAnswer: k**(349\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 956604609 and 3622.\nAnswer: 1811","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 407.99999763 + -408. Round j to 7 dps.\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14353*27.\nAnswer: -387531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*q - 3*q. Let h be q - ((-4 - 44) + -3). Suppose 10*k - 6*k - h = 0. Solve 5*v - 35 = -4*a, 5*v = 5*a + v - k for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -302 < -302?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (55\/15*6\/(-4))\/((-107)\/214)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2052 and 152.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 2131077\nAnswer: 1\/710359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**4\/3 + 152*w**3\/3 + 2314*w**2\/3.\nAnswer: -2*w**2*(w - 89)*(w + 13)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -108, -234, -364, -498, -636, -778?\n\"Answer: -2*s**2 - 120*s + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4033 and 872?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.21341 rounded to zero dps?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45 - 32. What is the remainder when 51 is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 96 - 98. Let n(y) = 2*y + 7. Let g(x) = x + 8. Let w(s) = z*n(s) + 3*g(s). Let q be -1*(24\/(-3) - -1). Calculate w(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3*a + 19 = 0, -q - 5*a - 83 = -5*q. Let v(w) = -3*w + 63. Let b(p) = p + 58. Let l be b(-38). Let t be v(l). Solve q = -5*d - t for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*m = -80*m + 107*m + 4433 for m.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - t - 6 = 4*t, -16 = 4*t. Let w be 2795\/3 - (-1)\/3. Suppose a*c + w = 4194. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - 4. Let y = -12 - -17. Suppose 0 = -y*r + 12 + 13. Is o(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 at least as big as 11\/34121?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1293080\/43 - -30070. Which is the closest to 1\/4? (a) 3 (b) s (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 + -499. Let l = d + 848. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 110880 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1430 = 54*y + 76*y for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101011101110111 + -11010?\nAnswer: 1101011101011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 3 - 1. Is -1 + 15 + -1 + n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20278220197 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3610?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -234 - 13354303?\nAnswer: -13354541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 18 + (0 - -14) + 5 + -10\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (((-80)\/3)\/4)\/(10\/(-15)). Suppose d*y = y - 18. Do y and -6 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -1000010111111101000?\nAnswer: 1000010111111100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - n = 2975, -3*n = g + 2*g - 2235. What are the prime factors of g?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 809359862 or -1\/4?\nAnswer: 809359862","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 480*s**5 + s**4 + 912*s**2 - 16*s - 4. Let z(g) = -g**5 - g**2 - 4*g - 1. Let i(n) = -l(n) + 4*z(n). What is the third derivative of i(h) wrt h?\nAnswer: -29040*h**2 - 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 451502 (base 6) to base 9.\nAnswer: 57082","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/192 and -133\/6?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**5\/3 + 281*m**4 + 3359*m**3\/3 + 2513*m**2\/3 - 1120*m - 3356\/3 = 0.\nAnswer: -839, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 85\/(2125\/10)*10*2\/(-28)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 66*t - 11. Let r(m) = -m + 12. Let c be r(7). Is p(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 3*l - 21, 3*l + 43 = 3*k - 2*l. Let i = k - 1. Suppose -3*j + 7 = c - 5, -i*j - 60 = -5*c. Is 7 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = 4*g + 10, 5*g + 72*o - 69*o = -18 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 544 - 17846. Let r = p + -33050\/9. Calculate the common denominator of r and -13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 80*r - 13. Is t(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 163 by -1.\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7712152 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + (0 - -1) + 5. Suppose z - n + 0 = 0. Suppose 2*j = 4, 9 = 5*a + j - z. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.28 + -2.72. Which is the nearest to -1? (a) 4 (b) g (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, z: 3, w: 1, m: 1, f: 6, q: 1}. Give prob of sequence za.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 140*b - 193. Let h(i) = 35 - 128*i + 33 + 48*i - 260 + 219*i. Let t(c) = -3*f(c) + 2*h(c). Find the first derivative of t(o) wrt o.\nAnswer: -142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13952 - 878880116.\nAnswer: -878866164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/(-165))\/(5587\/(-555))\nAnswer: -2\/151","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -173400199 divided by 2\nAnswer: -173400199\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 8075725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12307609?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3953518 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + k = -0*k - 53, 4*k + 4 = 0. Suppose 0 = -2*u - 2*n + 16, -113*u + 115*u - 11 = -3*n. What is the highest common factor of y and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 2*t**3\/7 - 698*t**2\/7 + 61248*t\/7 - 60552\/7 = 0.\nAnswer: 1, 174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7310 divided by -10.\nAnswer: 731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (15 - 8)*(-36)\/(-21). Solve -3*i + k - 16 = -7*i, -3*i = -5*k - y for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -380, -1677, 4, 2\/5?\nAnswer: -1677","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x - x - 25 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 0 + 494\/9*b**4 - 368\/9*b + 1480\/9*b**2 - 10\/9*b**5 - 532\/3*b**3 = 0.\nAnswer: 0, 2\/5, 1, 2, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*l + 16 = -3250*t + 3246*t, -2*l = t + 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.01 - -0.41. Let g be 2 - 3 - (24\/16 - 3). Which is the nearest to g? (a) 2\/13 (b) 3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -238080, -476154, -714226, -952296, -1190364?\nAnswer: -1428430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2 - -4.2. Let l = b - 4.4. Put l, -1, 0.05 in increasing order.\nAnswer: -1, l, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 times -4\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -313, 1, -1 in ascending order.\nAnswer: -313, -5, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**5\/z)**(-22\/9) assuming z is positive.\nAnswer: z**(-110\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 664*o**3 - o - 128 + 3*o**2 + 123 - 662*o**3. Give l(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 9:31 PM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1237297 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 10) to base 11.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + 649\/(-3) - (-56)\/168. Which is greater: -211 or d?\nAnswer: -211","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1031b7a (base 14) in base 5?\nAnswer: -3424243132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1175 + -1174. Is -3\/254 at most g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (-5 - -13)) + (548 - 555)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-110198)\/(-5720) - 6\/(-10). Let v = 125\/13 - p. Find the common denominator of -33\/7 and v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28220.\nAnswer: 2, 5, 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -213132221 (base 4) in base 14?\nAnswer: -42d05","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 131ba + -8310?\nAnswer: 6aaa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2535083581 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 3*j + c + 2 = 0, c - 1 = j. Let q(f) = -f + 4. Let u be q(-5). Find the second derivative of -3*i + 0*i**3 + 3*i**3 - u*i**j + 5*i wrt i.\nAnswer: -36*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4772 (base 8) in base 3?\nAnswer: 10111121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47925342?\nAnswer: 2, 3, 29, 91811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7867 - 67*h - 7867)*(4 - 3 + 2)*(-43*h**2 + 43*h**2 - 16*h**3).\nAnswer: 3216*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -1\/247301971?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13198 and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of -43*i**4\/8 + 7*i**3 - 119*i**2. What is the units digit of j(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 28*n**2 + 18*n + 5. Let t be l(-4). What is the third derivative of -378*y**2 - y + 761*y**2 + 75*y**4 - t*y**2 wrt y?\nAnswer: 1800*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34520 divided by -1?\nAnswer: 34520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -279 and 2.2718.\nAnswer: -633.8322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g and 1 l when four letters picked without replacement from llllglllgggllgll?\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -323, 273, -1 in decreasing order.\nAnswer: 273, 3, 1, -1, -323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(15)\/sqrt(3) - (sqrt(30)\/sqrt(6) + 0))**2.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6510000 rounded to the nearest one hundred thousand?\nAnswer: -6500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -3 - (-2 + -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.303 - 0.037. Let l = -0.04 - b. Let q = 5 - l. Which is bigger: q or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2. Let f(z) be the second derivative of -62*z + 5\/4*z**4 + 0*z**3 + 0*z**2 - 1. Determine f(t(r)).\nAnswer: 15*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = l - 3, 2*u + 8 = 4*l - 2*l for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 not equal to -21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 34, 0.5, -162559?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25270 (base 14) to base 10.\nAnswer: 91042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 820 and 4428.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17264*t**3 - 17221*t**3 + 51761*t**3 - 17274*t**3.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/9028635 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -136\/747957 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -106116282 divided by -477.\nAnswer: 222466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 38495781 to the power of 1\/2, to the nearest integer?\nAnswer: 6204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -24*c - 43. What is i(-1)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (88*r**4 - 89*r**4 - 39*r + 7*r)*(0*r - 4*r + 3*r)*(-4 + 1 + 1).\nAnswer: -2*r**5 - 64*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2\/7 - 10077*a\/7 - 1440.\nAnswer: 3*(a - 3360)*(a + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*d - 18107741 = -140*d - 1380215. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2914441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-15)\/6)\/(25\/(-10)). Let v be 4 + -8 + z - -61. What is the greatest common factor of v and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/((w\/w**(3\/7)*w)\/w))**12\/(w\/(w**15*w)*w*w**15*w) assuming w is positive.\nAnswer: w**(106\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 75\/20 + (-3)\/4. What is the least common multiple of (-3)\/(z\/(-3)) + -2 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1425?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/27 in -408, -2\/9, -1\/2, -1, 2\/13?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 14 = -3*d, 52*d - 49*d + 5*q = 49. Solve -c = -d + 7 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.073628 (b) 2\/87 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*t = 120*t + 140. What is the lowest common multiple of t and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46266035 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52316, -52331, -52376, -52463, -52604?\nAnswer: -52811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/2 and 17\/251.\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a - 2. Let m(q) = 1051*q - 414. Let w(p) = i(p) - m(p). Differentiate w(o) wrt o.\nAnswer: -1053","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 426279 and 3816?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 21*w - 2. Let h(p) = -6692*p - 306. What is h(u(t))?\nAnswer: -140532*t + 13078","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1625*o - 1600*o + 50. Let f(b) = b - 1. Let g(d) = -d**2 - 9*d - 16. Let p be g(-7). Let j(i) = 1. Determine o*j(m) + p*f(m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 2:24 AM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -286 by 4.\nAnswer: -143\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 11 + (-26 + 21 - (2 + -10))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -6*c. Let k(a) be the second derivative of 5*a**3\/2 - 795*a - 3. Calculate k(g(y)).\nAnswer: -90*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 7*u**2 - 11*u - 2. Let g be a(-5). Suppose 4*b - q - 2457 = 0, g*q = 2*b - b - 606. Suppose -2*r - b = -17*r. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 170 and 6800?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of -p**5\/20 - p**4\/2 - 7*p**3\/6 - 3*p**2 + 5*p. Let t be -3 + -1 + 2 - 3. Is s(t) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**(-1\/4)\/s))**(-1\/4)*(s**(2\/5))**46)\/(((((s**0*s)\/s)\/s)\/s)**(-8)*(s\/(s\/s**4))\/(s**(3\/7)\/s*s)) assuming s is positive.\nAnswer: s**(-971\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-744)\/465*(-3)\/8. Which is greater: -2\/9 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 3*t + 26. List the prime factors of t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 508482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-2 - 2 - (-7 + 2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 26 = -3*x - 3*n, -4 = 3*x - 4*n. Is 6\/2 + (-60292)\/x + -3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.257631 rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 3:19 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48))**2*6 + sqrt(3) + 5.\nAnswer: sqrt(3) + 293","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 142 + -109. Let v(p) = -63*p + k*p + 27*p. Let l(r) = 2*r**2 - 2*r**2 + r**2. What is v(l(u))?\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2376 divided by -2.\nAnswer: -1188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 2) in base 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 6 + -5 + -2 - -5?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*o - 2*o**2 + 28*o**4 - 14*o**4 - 12*o**4 - o**3 + 2 to v*o + f*o**2 + w*o**4 + u*o**3 + c and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 2*f + 5*u - 4, 21 = 5*f - 3*u. Solve -d + f*c + 191 = 193, -4 = 2*d + 5*c for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by -1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27874?\nAnswer: 2, 7, 11, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -4*i + 49. Let j be l(12). Let z be 424 + ((-3)\/2 - j\/2). Suppose -4*c = 1 + 3, -3*m = -2*c - z. What are the prime factors of m?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 6)*(-4 - 2*q**3 + 4)*(3*q - 2*q + q).\nAnswer: 16*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 126\/33 - (-2)\/11. Suppose 0 = -3*z + 2*v + 19, -5*v = a*z - 39 - 17. Let g(j) = j**2 - 5*j - 4. Calculate the smallest common multiple of g(7) and z.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -654*f**3 - 32*f**2 + 48*f - 1048. Let u be c(28). What is u rounded to the nearest one million?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -8) + (-88 - -58).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 545467186 to the power of 1\/2, to the nearest integer?\nAnswer: 23355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 2. Let r(f) = 7*f - 1. Let x be r(d). Let q be ((-6)\/34)\/(12\/x). Sort q, -1\/3, -5.\nAnswer: -5, -1\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 703\/4 - 177. Which is smaller: s or -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 3*l + 21 = -4*n, 4*l - 16 = n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.43 - 3.77. Let d = 25.02 - 25.36. Let u = r - d. Put 3, u, 1\/5 in descending order.\nAnswer: u, 3, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80811 is divided by 43?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1418.088 rounded to the nearest one hundred?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 198198 and 45353?\nAnswer: 116738622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7817, 14219, 19207, 22781, 24941, 25687, 25019?\nAnswer: 22937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*x + z, -4*z + 3 = 2*x - 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3*f**2. Let x(d) = 23*d + 4*d**2 - 23*d. Determine v(x(b)).\nAnswer: 48*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 678259 is divided by 2579.\nAnswer: 2561","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -4*i + 1. Let j be r(-1). Suppose -n = 2*n - 12. Solve s + n*l - 9 = 2*s, -j*l + 3 = -4*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6, 1\/5, -2\/13?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 + 8. Let n be x(0). Suppose 2 - n = -3*o. Is (0 - -1)\/(o\/106) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8261304 and 44?\nAnswer: 90874344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -25 (b) 13448 (c) -19.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 862 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 13 = -5*g + 10, -s - g = -5. Solve -3*l + 9 = -3*c, -3*c = s - 5 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/13 - 1408*q\/13 - 239358\/13.\nAnswer: -2*(q + 287)*(q + 417)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -0.056618?\nAnswer: -0.169854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1040153*c**2 - 8 + 8.\nAnswer: -1040153*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -5*h + 15. Suppose -27 = 13*k - 10*k. Let w be a(k). Is 27 a factor of ((-2655)\/w)\/(6\/(-16))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -373*o + 175. Is w(-18) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 96\/360*1215\/(-108)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 102.93203 to the nearest integer.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 0*m**2 - 2 + 0*m**2 + 4*m**3 - 3 wrt m?\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, -0.06, 0, -3, 58 in increasing order.\nAnswer: -3, -0.6, -0.06, 0, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 2. Suppose -u = 3, -5*k + k + 94 = 2*u. Suppose -2*i + k = s*i. What is the remainder when 13 is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 + -4 - -2) + 1. Let x(j) = j**2 + j - 1. Give x(s).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -326097301*l**3 - 10504*l**2 - 8460*l wrt l?\nAnswer: -1956583806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-35)\/(-10) + -2 + 9\/6. Find the second derivative of -3 + c + 20*b + 2*b**2 + 22*b**2 wrt b.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((162\/15)\/(-9))\/(24\/120)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -r - 6 + 18, 35*r + 3*i = -0*i + 128 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(231)\/(sqrt(88)\/(sqrt(80)\/sqrt(10))))\/(sqrt(3)*2*6 - sqrt(6)\/(sqrt(50) + sqrt(2))))**2.\nAnswer: 60*sqrt(7)\/71 + 126277\/5041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -43.19977 rounded to the nearest integer?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9666816 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.35 - -0.05. Let p = -0.15 + 4.15. Let w = -0.9 - -0.4. Which is the closest to p? (a) -1 (b) w (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12.5 - 23.7. Let m = 36 + x. Is 0 not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/32773 and -49\/10.\nAnswer: 327730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 7 - ((-7 - -8) + 0 + -8)) + 10.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/2 - 7*s - 15\/2.\nAnswer: (s - 15)*(s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2267 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -25? (a) -1.1 (b) 2 (c) 32663 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 5*g. Let v(w) be the third derivative of -2*w**2 + 0*w - 3 - 1\/30*w**5 + 0*w**4 + 0*w**3. Give v(z(b)).\nAnswer: -50*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Divide 1790 by -2354.\nAnswer: -895\/1177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 1202221002?\nAnswer: 1202221011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 20*u + 46. Let n(y) = 21*y + 47. Let c(i) = -3*n(i) + 4*o(i). Differentiate c(s) wrt s.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1710.3 - 1707. Which is the second smallest value? (a) z (b) 24 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + -0.1. Let p = 165.2557 - 165. Let i = p + 0.0443. What is the nearest to 1 in -1\/4, t, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*n**3 + 64*n**3 - 35*n**3 - 14*n**3.\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/19, 4, -12296235 in decreasing order.\nAnswer: 4, -2\/19, -12296235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 AM and 8:29 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 + 6 + 3*t - t + t + 2*t + (-t - 5*t + 5*t)*(-2 + 5 - 4) + 0 - t + 0 + 2 - 2 - t + 1.\nAnswer: 4*t + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(90)\/((sqrt(360) - sqrt(360)*4) + sqrt(360)))\/(sqrt(192)*-3).\nAnswer: sqrt(3)\/288 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 0.0217?\nAnswer: -0.01085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -336, -378, -420, -462, -504, -546?\nAnswer: -588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-85)\/(-15) + 1\/3. Suppose d - y = -2*r, -3*d = 2*d - 4*r - 16. Does 8 divide 16\/d*(0 - -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 2*y**3 + 2*y**3 - 9*y**3 as s*y**3 + i + d*y**2 + a*y and give s.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 0*s - t - 9, -12 = 4*t. Suppose 2*b - 10 = -2*o, -s*b = 2*o - 7*o - 17. Suppose y = 2*y - b. Solve y*c = 3*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -152233411 (base 6) to base 15\nAnswer: -431067","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1727 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -76*s + 130. What is the remainder when o(-2) is divided by 98?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.6357 - 0.65. Let n = 279871.01429639 - 279871. Let u = f + n. Round u to 7 decimal places.\nAnswer: -0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21280498, 2, 1 in ascending order.\nAnswer: 1, 2, 21280498","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of -1\/336*r**8 - 9*r**2 + 0*r**3 + 0*r**4 + 0 + 0*r**7 - 7\/60*r**5 + 0*r**6 + 0*r. What is the third derivative of y(j) wrt j?\nAnswer: -60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 18\/(-4)*(-20)\/(-30). Calculate the remainder when 84 is divided by 1\/d + 737\/33.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k**3 + 6*k**3 - 4*k**3 + (0*k - 4*k + k)*(-2*k + k + 0*k)*(k + 0*k + 0*k).\nAnswer: 9*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 239 = 5*g - 0*g - 4*u, -2*g + 106 = u. Let i = 10 - g. Let a = i - -61. What is the smallest common multiple of a and 18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-16)*(-204)\/357*(-15)\/((-3660)\/(-8)).\nAnswer: -1\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 68*v + 9. What is the smallest common multiple of 21 and p(1)?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-40)\/d)\/(d\/(d*d**14\/d)) assuming d is positive.\nAnswer: d**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -8665, 5, 4.\nAnswer: -8665, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 883005?\nAnswer: 3, 5, 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 174932, 174917, 174876, 174797, 174668, 174477, 174212?\n\"Answer: -2*u**3 - u**2 + 2*u + 174933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -6caa (base 14) to base 16\nAnswer: -4a16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*w + 8*w - 32*w + 2*w.\nAnswer: -11*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -2*j + 8, 0*s - 4*s = 3*j - 1. Let x = s - -5. Let c(d) = 21 + 8*d**2 - d**x - 55 + 3*d + 23. Calculate c(8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 21, 54, 101, 162?\nAnswer: 237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/9 - 137*t**2\/9 + 5750*t\/9 - 1216.\nAnswer: -(t - 32)*(t - 2)*(t + 171)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 78, 90, 110, 144, 198, 278?\n\"Answer: q**3 - 2*q**2 + 11*q + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 AM and 8:31 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -407 = -20*j - 467 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*l + 26*l - 3. Let s be 22 + -4 - (2 + l). Solve 5*t = s, -j = t - 4*t + 7 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3\/7, 0.8, 0.5, -5\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19638?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pwidp. What is prob of sequence id?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/5)\/(648\/45 + -13).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50734?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 + 11595?\nAnswer: 115a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/((-12)\/3))\/(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1950.2 to the nearest one hundred.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4977 (base 10) in base 5?\nAnswer: -124402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1712)\/32 + 52 + (-2)\/(-12)*-579.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -139*h**3 + h**2 - 2*h - 3. Let a(z) = -z**3 - z**2 - 2*z + 2. Let v be a(1). Is f(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 12*o**3 - o**2 + 6*o + 6. Let a(y) = -12*y**3 + 2*y**2 - 8*y - 57 + 3*y + 52. Let t(v) = -6*a(v) - 5*w(v). Find the third derivative of t(p) wrt p.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -7*1 - (-19 + 13). Put 0, l, 5 in increasing order.\nAnswer: l, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 62169338 and 707.\nAnswer: 707","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 0.2, 490, -10.7, 1\/8, -2?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160840 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3977 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (32\/(-20))\/(2\/(-40)). Suppose 3*k + m = 7*k. Suppose 0*d = -2*d + k. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -734.269 rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 801596?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*x - 23*x + 6 = -z - 1, 50*z + x + 249 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 17 (b) 5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((260\/(-12))\/13)\/(30\/(-684)). Solve -x*p - 30 = -5*n - 42*p, 2*p - 20 = -5*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 - 211*o - 13063. Calculate c(261).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -13841, -54, -6 in increasing order.\nAnswer: -13841, -54, -18, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from neddednnnevenede. Give prob of picking 1 v and 3 n.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 535*g = 534*g + 4. Let z(b) be the third derivative of -1\/15*b**6 + 0*b**3 + 12*b**2 + 2\/105*b**7 + 0*b**g + 1\/15*b**5 + 0 + 0*b. Solve z(x) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (8 + (-98)\/14)*10061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 452*i - 112*i - 168*i - 2 - 55*i.\nAnswer: 117*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -473 divided by 1.\nAnswer: -473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (15 - 29) + 3 + (16 - (-8 + -1))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 8*g = -28. Let k be g\/(-8) + (-2)\/4. Suppose -2*w = 2, -4*w - 186 = -k*n + n. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200*a**3\/7 + 105920*a**2\/7 - 63498*a\/7 + 9522\/7 = 0. Calculate a.\nAnswer: 3\/10, 529","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*h = 45*h + m + 12, m + 14 = 4*h. Let t(w) be the third derivative of 0*w**3 - 12*w**h + 0 + 0*w + 1\/24*w**4. Let x(y) = 4*y. What is t(x(i))?\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h - 1. Let v(i) = -14*i + 4. Give 6*p(a) + v(a).\nAnswer: -8*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -7. Suppose -j*m = -m - 20. Solve m = i + 2 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 850\nAnswer: -2\/425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 494199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 - 1. Is 11 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*a**2 - 2*a**2 - a**2)*(68 - 114 - 103) + 14 + 14*a**2 - 24 + 16 as c + o*a + x*a**2 and give x.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -5896.967.\nAnswer: 29484.835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27285080 to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 133.9 - 134. Let c = 0 + 0.4. What is the second smallest value in c, 2, q?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (36*28\/(-3584))\/((-3)\/(-4)*-1). Solve -9\/2*j - 75\/8*j**2 + 0 - i*j**4 - 21\/4*j**3 = 0 for j.\nAnswer: -12, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 9, a: 2}. Give prob of sequence bab.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*k**3 + 243568*k**2 - 9736624*k + 18499008 = 0. Calculate k.\nAnswer: 2, 38, 60852","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of -k**6\/135 - k**5\/45 - k**4\/54 - 195*k. Let u(z) = 0. Calculate z.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 19 + 1767337?\nAnswer: 1767352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 divided by -2?\nAnswer: 111\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1549206202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3\/3 + 82*u**2\/3 + 460*u\/3.\nAnswer: -2*u*(u - 46)*(u + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fasxfsfxwxd. What is prob of sequence fw?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 714 divided by -5\nAnswer: -714\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r + 5*r - 15*r + 3*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -5*p**2 - 1893*p**3 + 1888*p**3 - 80*p**2 = 0.\nAnswer: -17, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.1 - 5.1. What is the closest to z in 1\/3, -7, 1\/6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 6, j: 7}. Give prob of sequence jjm.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/92081097 and -69\/428.\nAnswer: 368324388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h - 7*h + 5*j - 30 - 22 = -11*h, -3*j = -12 for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 62557366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2498067, -2498070, -2498073, -2498076?\n\"Answer: -3*b - 2498064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 2*y - 1)*(3 - 3 + 3*y) - 11*y + 11*y - 4*y**2)*(-3*y**2 + 0*y**2 + 4*y**2).\nAnswer: 2*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 9.11, 0.05, 0.2, 3, -20, 10?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3861)\/(-1144) - 6\/16. Let w(x) be the first derivative of -12 - 7*x**2 + 1\/3*x**r + 49*x. Factor w(a).\nAnswer: (a - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 9:37 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-15)\/(8 - 173)) + (5 - 2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 3) to base 10\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - 0)\/((-2)\/(-34)). Suppose 0 = 2*z + 3 - 5. Calculate the least common multiple of 8 and z + (x + -2)*-1.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 37\/5 of a kilogram?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-5*sqrt(175) + 0 + sqrt(175)*-4)**2*-2.\nAnswer: -201600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 4:16 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -2. Suppose 2*k - a = k. Are k and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -982 - -12751\/13. Let y = -198\/13 + 2282\/143. Find the common denominator of y and v.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-14915)\/(-75) - 2\/(-15). Let r = o - 1389\/7. Does r = -21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 9*x**2 - 11*x + 28. Let a be r(2). Calculate the greatest common divisor of 462 and a.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 2*t**2\/9 + 920*t\/3 + 11008\/9 = 0.\nAnswer: -1376, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-135)\/72)\/(1070\/2568).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 5) to base 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 542223 to the power of 1\/2, to the nearest integer?\nAnswer: 736","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*u = 63*u + 105 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -6515*c + 175759. Give o(27).\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k + 40. Calculate the smallest common multiple of f(18) and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 19. Let f = n + 6. Let s = 565 - 565.1. What is the second smallest value in s, -5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 836 + -799. Solve -o = -3*y - 37 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2476 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - 3. Let k = 4.4 + z. Let v = k - 0.5. What is the second smallest value in v, 0, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/392 and -41\/56?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of -163*j**5\/2 - 977*j**4\/6 - 79*j - 1. What is the third derivative of u(t) wrt t?\nAnswer: -9780","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18020 and 20965369.\nAnswer: 901","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -3043*q + 4835. Is x(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**3 + b + 3*b**2 - 3*b**2 - 9*b**3 to t + z*b**3 + u*b**2 + y*b and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-9)*6\/(-2). Let b(t) be the first derivative of -1 + j*t**3 + 0*t - 3\/2*t**2. Find the second derivative of b(h) wrt h.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = c - 3757, 0 = -3*c - c + p + 15037. List the prime factors of c.\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5655297, -5655299, -5655301, -5655303, -5655305?\nAnswer: -5655307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4331 + 5043?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6571.715ug in tonnes?\nAnswer: 0.000000006571715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48419 and 39312.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/908658 and 95\/1278.\nAnswer: 908658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 4. Suppose -5*t + 3 = 3*o - q, -5*o = 20. Suppose -27 - 15 = -t*n. Calculate the lowest common multiple of n and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**(6\/11)*z**(-2))**(4\/5) assuming z is positive.\nAnswer: z**(24\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112652.43 months to years.\nAnswer: 9387.7025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0025240409 rounded to 4 dps?\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of 0 + 1\/12*f**4 + 11*f**2 + 5\/6*f**3 + 0*f. Let y = 15 + -21. Calculate o(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 282.6015*26.1.\nAnswer: 7375.89915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (6186 + 464*k - 6186)*((-1 + 3 - 3)*(-2 + 1 + 2) + 0 + 5 - 2)*(-5 - 1 + 3) as o + j*k and give j.\nAnswer: -2784","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q - 1. Let p be (-1)\/(-5) + (9 - 1140\/75). Give x(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -5. Suppose -g*v + 224 = -0*v. Let x = 23 + -15. What is the highest common factor of x and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 4*c - 20 = 0. Let n be (4 + 4 + c)\/((-3)\/(-5)). Solve 0 = n*f + 4*b - b - 28, -5 = -5*b for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 448?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 830 - 588. Suppose -3*k + 2609 = r. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 2) in base 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27164055*i**2\/4 + 2716818*i - 165 = 0. Calculate i.\nAnswer: 110\/1810937, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*p**2 - 1 + 2*p**2 + 2*p**2)*(-100*p + 100*p - 24*p**2) + 3*p**4 + 0*p**4 - 5*p**4 to the form t + g*p**4 + r*p**3 + b*p**2 + j*p and give g.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/25 (b) 2\/7 (c) 2 (d) 2\/29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.68852 microseconds in nanoseconds?\nAnswer: 12688.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 65305727941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/385917 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1439399743 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28504562 to the nearest integer?\nAnswer: 5339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(12)\/sqrt(4) + sqrt(3) + -1 + -3))**2.\nAnswer: -16*sqrt(3) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of -b**5\/4 + 45*b**4\/4 - 140*b**3 - 490*b**2 + 450*b. Find t, given that c(t) = 0.\nAnswer: -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16504, 16505, 16506, 16507, 16508?\nAnswer: 16509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 z when two letters picked without replacement from {p: 1, f: 2, z: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q, 0*f + 31 = f + 3*q. Differentiate f + 55 + 10*j**3 + 22 - 34 - 2*j**4 wrt j.\nAnswer: -8*j**3 + 30*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -11*d - 198. Give i(-14).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 284469*p**2 + 299*p + 591. Is r(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 280 is divided by 59?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38.9 - -163.1. Let s = h - 202. Which is the second biggest value? (a) 3 (b) s (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/4*(-2 + 4 + 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 + 2*v - 3. Let s be d(2). Let l be (-4)\/(-6)*(1 + s). Suppose -l*r + 3*r = -25. Is 8 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 3 = 2*a - 5*m, 0 = 3*a - m - 28. Let d(r) = -6*r - 1. Let c be d(1). Let p be (1 - -1)\/(c + 9). What is the greatest common factor of a and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4305.\nAnswer: 3, 5, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-408)*-10*20\/50?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (320\/100)\/((-4)\/(-310)). Sort p, 0, -1.\nAnswer: -1, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11680*g**3 + 4072*g**3 - 16394*g**3.\nAnswer: -24002*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 257*x - 79. Let c(i) = 512*i - 155. Let r(l) = -23*l**2 - 186*l - 11. Let o be r(-8). Let h(t) = o*u(t) - 2*c(t). Differentiate h(s) wrt s.\nAnswer: 261","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (50\/(-18) - -1) + 2. Let s = 0.0735 + 308.9265. Let b = -305 + s. What is the third biggest value in -0.6, q, b?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 99928.93 minutes?\nAnswer: 5995735.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + g - 4)*(2*g**3 + 5*g**3 - 4*g**3) - 3*g**4 + 6*g**4 + 0*g**4.\nAnswer: 6*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k**2 + k**2 + 2*k**2 - k + 1. Let b(d) = -2*d**2 - 5*d + 8. Let q(x) = 5*x**2 + 15*x - 23. Let t(c) = -11*b(c) - 4*q(c). Calculate -4*p(s) + t(s).\nAnswer: -2*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gxx when three letters picked without replacement from xggggxgggggg.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -453 = -124*p - 1941 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(5\/((-140)\/7))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.6 - 0.4. Let p = 1.77 - 1.7. Which is bigger: p or b?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 o when two letters picked without replacement from {n: 2, l: 9, o: 1, m: 5, r: 1}.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, l: 1, i: 9}. What is prob of sequence im?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 4*c - 2*c - 89, 3*b + 119 = -4*c. Let t be (-6)\/b - 5680\/(-220). Calculate the highest common factor of 208 and t.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -65, -121, -233, -425, -721, -1145?\n\"Answer: -4*v**3 - 4*v**2 - 16*v - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -6797930?\nAnswer: 6797930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15845539?\nAnswer: 157, 100927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g + 22*g**3 + 8*g - 24*g**3 - 7*g + 188*g**2 to v*g**3 + y*g + h*g**2 + c and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 2*y = -3 - 3, -3*p = y + 7 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -95 + 101. Suppose 3*t = -5*o + 3 + v, 5*t + 2*o = 15. What is the second derivative of 4*f**3 - 4*f**t - f - 35*f**4 wrt f?\nAnswer: -420*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 3*c**2 - c - 4. Let q be g(3). Let h = q + -3. Is (15\/h)\/(1\/(-16)) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9f4ed + -5?\nAnswer: 9f4e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2310177 and 6.\nAnswer: 2310183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3360\/29 or -115?\nAnswer: -3360\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -t. Let h be 6\/16 + (t - 0). Let x = 455 + -455.5. Which is the nearest to h? (a) x (b) 0.5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of -67*g**7\/210 - 19*g**4\/24 - 553*g**3\/3 - 53*g**2. What is the first derivative of y(x) wrt x?\nAnswer: -268*x**3 - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + -8 + 2 + 33. Let v = p + -145\/3. What is the common denominator of v and 40\/11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3 - 756*z**2 + 16773*z + 57204.\nAnswer: 3*(z - 227)*(z - 28)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z - 8*z + z - 6*z**2)*(2*z + 6*z - 4*z)*(-z**2 - 2*z**2 + 0*z**2).\nAnswer: 72*z**5 + 36*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)*6*-6 - (sqrt(726)*1)\/sqrt(2).\nAnswer: -119*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/12 + (-2)\/(-6). Let m = -2042 - -2046. Which is the nearest to u? (a) -5 (b) m (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3269499965 to the power of 1\/3, to the nearest integer?\nAnswer: 1484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 66*v**2. Let t(g) = 2*g**2. What is n(t(w))?\nAnswer: 264*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 573*l = 969*l - 1188 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1362688*0.1\nAnswer: 136268.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 times -0.06?\nAnswer: 1.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0011755506 rounded to 5 dps?\nAnswer: 0.00118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j - 5*m + 5, -3329*j - 5*m + 5 = -3330*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 179155494 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 30753?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 88*y**2 + 184*y + 500. What is w(-90)?\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -15, -2\/3, 0, -4, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3494.00751 minus 0.13?\nAnswer: -3494.13751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13026780?\nAnswer: 2, 3, 5, 13, 19, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -116 + 121. Let k(s) = 102*s - 22. What is the hundreds digit of k(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -5\/27069772?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 664158 is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34459730, 34459735, 34459744, 34459757, 34459774, 34459795?\nAnswer: 34459820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8682 - -8685. Solve 10 = t*r - 2, 0 = 5*b + r + 16 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of -w**5\/30 - 5*w**2 - 2*w + 107. Let z(s) = -3142*s. Give v(z(b)).\nAnswer: -19744328*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 2. Let m = c + 19. Suppose v + 2*v + m = 2*s, -5*s = -3*v - 58. List the prime factors of s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 32*n**3 - 53*n**2 + 324*n + 2074750.\nAnswer: 96*n**2 - 106*n + 324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/(-2))\/((-2)\/(-24)). Suppose -36 = -3*u - 6*u. What is the greatest common factor of u and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - (-1 + -1)) + -3. What is the third derivative of -8*l**2 - 4*l**z - 5*l**2 + 51*l**3 wrt l?\nAnswer: 306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 8:34 PM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x - 3*x - 2*x)*(2*x + 2*x - 6*x) - 20641 + 20641 + 322*x**2 - 2*x**2 + x - x.\nAnswer: 324*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -244310?\nAnswer: 244304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 17330, 30612, 43918, 57260, 70650, 84100?\n\"Answer: 2*f**3 + 13268*f + 4060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 - 3*s**2 - 4*s - 11. Determine b(5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1\/74 - -77\/222. Sort -0.2, l, -0.5 in increasing order.\nAnswer: -0.5, -0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7078 rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 332632?\nAnswer: 2, 41579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, -19\/78, -0.06, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - 4 + 6*u + 3 + u + 3. Let k be p(-7). Suppose -m = 5*f - k*m - 35, -5*f + 25 = -3*m. Calculate the remainder when f is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/18 and 157\/240096606.\nAnswer: 720289818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 54 + 6 = 0. What is the least common multiple of 14 and z?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3.3, -5\/3, 446.7, 2\/9 in ascending order.\nAnswer: -3.3, -5\/3, 2\/9, 1, 446.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 478 is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 547 + 6616?\nAnswer: 7163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -94, -96, -110, -142, -198, -284, -406, -570?\n\"Answer: -n**3 + 5*n - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56011 is divided by 200.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 431*b**3 - 153*b**2.\nAnswer: b**2*(431*b - 153)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 248329*i + 7201517. Give k(-29).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2294 a factor of 4339241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -1.21\nAnswer: -0.605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)*1*-6)\/(sqrt(30)\/sqrt(3)*5 - sqrt(10)).\nAnswer: -3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4632413?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -4*m - 7. Let r be d(-3). Suppose 3*l = r*l - 48. Suppose -16 = -5*b + l. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (7 - (1 - 0)) + 5 + -5. Solve 2*z = 4*f - 32 + k, 0 = 3*z + 2*f + 7 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8082 - 8084. Suppose 0 = -4*f - 5*b + 22, -2*f + 4 = b - 2*b. Let z(j) = j - 4*j + j**2 + f*j. Determine z(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 0 = 2*x - 11, 2*r = -4*x + 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((2*((sqrt(152)*-1 - sqrt(152))*-5 - sqrt(152)))\/(sqrt(72)\/((sqrt(9) + sqrt(45)\/sqrt(5))*6)) + 0))**2*-6.\nAnswer: -85100544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dvh when three letters picked without replacement from vvhvhvdhvvvhhdv?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-784)*24*21\/(-24)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10482396?\nAnswer: 2, 3, 37, 23609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -723 - -1253. Let k = f - 531. Which is bigger: 8\/69 or k?\nAnswer: 8\/69","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -16833242, 0, 2 in increasing order.\nAnswer: -16833242, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3446 + 3504. What is the remainder when y is divided by 2 + (-2 - -1) - -9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((sqrt(833) + sqrt(833)*1)*6)**2 - sqrt(833))*1.\nAnswer: -7*sqrt(17) + 119950","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2463*l - 4938. List the prime factors of g(25).\nAnswer: 3, 7, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 227 - 156. Suppose 69*m = q*m - 8. Calculate the highest common divisor of 16 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 6*f = 3*f + 12, -a = 4*f - 7. Let v(r) = -r + 19*r**2 - 11*r**2 - a*r**2. What is v(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-90)*(-75)\/30\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(125) + -2 + 2)**2.\nAnswer: 2000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -29, -56?\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of 31*m**6\/15 + m**3\/3 + 7*m**2 + 2*m - 9. Find the second derivative of f(u) wrt u.\nAnswer: 744*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 17694*t**2 - t + 166832 wrt t?\nAnswer: 35388*t - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = m - 4*m. Let k be (-170)\/(-8) + m\/8. Suppose 7*u = 12 + 9. Solve -4*z = b - k, u*b - 15 = -0*b for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 b when four letters picked without replacement from ggbbggbg.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(210) + 1*(-1*sqrt(210) + sqrt(210)))\/(1*-2*sqrt(10)))\/(-5*1*sqrt(432)*-4) + 4)**2.\nAnswer: -sqrt(7)\/60 + 3686407\/230400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 >= 6\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 0 + (0 - -1) + -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 4*q - 50 = q, 0 = -5*v + 2*q + 181. What is the tens digit of v - (1 + -3 + 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 90508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -0*c - 3*c. Suppose 0 = -5*w + 3*w + 6. Suppose 5*i - 50 = -2*k, -5*k = -w*i - 37 - 57. What is the smallest common multiple of k and c?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 h, and 1 u when three letters picked without replacement from {h: 1, k: 1, w: 2, u: 3, s: 1, b: 4}.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -3*q**2 + 3*q + 4. Let p be t(3). Let c be (-6)\/(-21) + (-66)\/p. Suppose 3*i + 2*n + n = 57, -2*i + c*n + 3 = 0. Does 7 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -392 - -574. Let h be 3\/(4\/14 + 221\/b). Solve -h*j - 2*j = 20 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that z**5\/3 - 4*z**4\/3 - 13*z**3\/3 + 40*z**2\/3 + 16*z = 0.\nAnswer: -3, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32567.\nAnswer: 29, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - (8 + -3) - 3) + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 PM and 1:05 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30536 - -94.\nAnswer: 30630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of -3*h + 0*h**2 - 1\/24*h**4 + 0*h**3 + 1\/60*h**6 + 0 + 0*h**5. Find s, given that r(s) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11281 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 0*u + 5*f - 20 = 0, 3*u + f - 12 = 0. Let w be (2\/u)\/(1\/(-10)). Let r be (-15)\/(-18)*2\/w. Is r bigger than 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2*j = -25. Let o(u) = u**2 - 6*u + 5. Let s be o(j). Suppose s = -r - 3*r + 96. Is 12 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/13, -2, -26?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 778*l + 11 - 2 - 4 + 0.\nAnswer: 778*l + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 186500.5728843 and -0.5.\nAnswer: 186500.0728843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-14))\/(1988\/93933).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 7, 1290, 6, 113 in increasing order.\nAnswer: 2, 6, 7, 113, 1290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/270060 and 25\/84.\nAnswer: 270060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 151*f**2 - 8*f - 3751. Let l(g) = 50*g**2 - 2*g - 1247. Let w(x) = 17*l(x) - 6*v(x). Differentiate w(r) with respect to r.\nAnswer: -112*r + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) 6.134 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = 3*p + 10, -3*n - 10 = 2*p + 1 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 + 6*j**2 - 3*j - 7. Let n be u(5). Let b be 15\/(-5) + -1*2 + 8. Suppose 5*f - 203 = -2*h + 230, -n*f = b*h - 258. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 684, 775, 866, 957?\nAnswer: 1048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 5*y + 5 = 0, 1 = -5*f + y + 2. Suppose -3*n - 5 + 125 = f. Calculate the remainder when n is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 66 - 8a?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 272 divided by -272.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -102 + 111. Suppose 18 = h*l - 63. Suppose 4*g - l*g = -y + 149, 0 = g + 4. What are the prime factors of y?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9.6 - -7.6. Let u = -0.5 - -1. Let v = -1793\/9 + 199. What is the nearest to v in f, 0.4, u?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*b**3 - 10*b**3 + 64*b + 17*b**3 - 17*b + 458*b + 10*b**2.\nAnswer: -3*b**3 + 10*b**2 + 505*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 304084?\nAnswer: 2, 11, 6911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 353108135 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/40 of a millimeter?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 609493 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, j: 7, f: 2, i: 2, k: 2, b: 1}. What is prob of sequence ifi?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of -u**3\/2 - 5*u**2 + 33*u. Let c be q(-4). Solve c*z - 16 = -2*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2418253777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 - 17. Suppose 5*j - l*j = 0. Suppose 0 = -k - j*k + 48. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 514243?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/((-1800)\/(-1602)))\/((-7)\/28)\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of y**5\/20 + 2*y**4 - 25*y**3\/6 + 3*y**2\/2 - 36*y. Let u be w(-25). Solve -7*z + 1 = r - u*z, 3*z - 2 = -r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 5*d - 1. Let a be i(1). Let b = 8 - a. Suppose 0*l - b*m = 2*l - 2, 4*l - 16 = -5*m. What is the greatest common divisor of 45 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 10 = -b, -5*b - 12 = 4*h + 9. Suppose a - 13 = -3*y - y, -y + 8 = 5*a. Suppose y*j - h = 8. Solve -2*c = 0, 5*c + 3 + 6 = j*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 divided by -1040?\nAnswer: 5\/208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/((r*r\/(r**(-22)*r*r))\/r)*r*r**(-8\/3)*r*r**(7\/5)\/(r*r**(-1)) assuming r is positive.\nAnswer: r**(-289\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 2*l - 195, 5*l - 82 = -0*p - p. Let f = p + -38. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3512 rounded to 2 decimal places?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4009 - 4008.99789017. Round q to 4 decimal places.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.97 - -15.97. Is 49\/5 >= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 35 = 5*m - 16, -5*m - 5 = 0. Let z be (-6)\/8 - 119\/b. Sort z, 4, -4 in decreasing order.\nAnswer: 4, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 288160367?\nAnswer: 11, 67, 390991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x - 6 - 967*x**2 + 3*x + 472*x**2 + 485*x**2 to the form n*x + r*x**2 + j and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2 = t - 3*t, 4*t - 4 = -4*d. Put -1, 4, t, -2, 91 in decreasing order.\nAnswer: 91, 4, t, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k = -3*p - 10*k + 298, 0 = -5*p - 3*k + 506. Let g(i) = -i**3 - 10*i**2 - 11*i - 2. What is the remainder when 57 - (p\/(-4))\/5 is divided by g(-9)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21*f - 260 + 260 + 133 - 133 - 68*f + 2*f - 4*f + 3*f + (-1 - 4 + 4)*(-3*f + 2*f - f).\nAnswer: -86*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 29928119321 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -283*s**3 - 30562*s**2 + 184*s - 3421. Determine b(-108).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c\/c**(-2\/27))*c*c*c*c**(-6\/5)*c assuming c is positive.\nAnswer: c**(368\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2133, -17003, -57373, -135993, -265613?\n\"Answer: -2125*g**3 + 5*g - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2*g - 125 - 77 = 0, 0 = 5*u - g - 493. Let b = -1 + -20. Calculate the common denominator of 23\/8 and u\/b*(-4)\/6.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 + 86*d - 93. Give z(74).\nAnswer: 795","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 652?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 13 + 15)*(-p + 2*p + 0*p).\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 158542482 to the power of 1\/4, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -14 - -30a?\nAnswer: 2f6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*o = -q + 12*o - 16, o = 2*q + 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (39\/(-2))\/(145\/290). Let s(c) = -c**2 - 37*c + 87. Determine s(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/40 and 37\/40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -63 - -78.5. Let s = -16 + j. Sort -0.1, s, 0 in increasing order.\nAnswer: s, -0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(19) + sqrt(76))*2 - (sqrt(475))**2*-4*-1.\nAnswer: -1900 + 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 32933.7km in millimeters?\nAnswer: 32933700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 29, 60, 91, 122, 153?\n\"Answer: 31*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-8) - 297\/12. What is the remainder when 23 is divided by ((-5)\/10)\/(1\/s)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from -2980933622.051.\nAnswer: -2980933619.051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 118251.4 millilitres?\nAnswer: 118.2514","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1.4 or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5684.\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 + 1\/2)*2. Suppose -5*o + x*o = 200. Suppose -l - 4*m = 2*l - o, 0 = -4*l + 5*m + 15. 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 1.351 less than -178.548?\nAnswer: -179.899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**2 - 1826*j + 1549360 = 0. What is j?\nAnswer: -1448, 535","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/((-12)\/231)*5*1\/35.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d**2*r**2 - 39*d**2*r - 75*d**2 + 3*d*r**2 - 216*d wrt d?\nAnswer: 2*r**2 - 78*r - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 74739*o**2 + 6606*o wrt o.\nAnswer: 149478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 682617512 to the power of 1\/2, to the nearest integer?\nAnswer: 26127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1465114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/(-2))\/(2 - (-18)\/(-12)). Which is the closest to -2? (a) -4 (b) 10 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*b, -5*l + 0*l - 5*b = 30. Let t be -4 + 18\/4*l\/(-6). Solve -2*c + 5*d - 13 = -33, t*d + 8 = -c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3004 + -3007. Which is the closest to 1\/4? (a) u (b) -0.25 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express w**2 + 210*w + 0*w**2 + 49*w + 4*w**2 - 3*w**2 in the form a*w**2 + s*w + b and give s.\nAnswer: 259","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 698323762?\nAnswer: 2, 827, 422203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 92*u**2 - 96*u + 53. Is o(-21) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 4*q - 30 = -q, 3*q + 18 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 68786457 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zrb when three letters picked without replacement from {v: 1, b: 1, w: 1, z: 1, r: 1, f: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 - -11. Which is the second smallest value? (a) f (b) -1\/6 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45245340 (base 6) in base 15?\nAnswer: 1c25ec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -4*j - 6 + 24 + 7*j**2 - 2*j - 12. Let z be u(-4). Suppose -4*i + 452 = -2*n, z + 188 = 3*i + 3*n. Is 13 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 482186.6 nanograms to kilograms.\nAnswer: 0.0000004821866","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -9*a + 6. Suppose m = 2*m + 4. Let c(w) = -72*w + 48. Let g(n) = m*c(n) + 33*v(n). Let t(d) = 154288 + 154293 - 308586 + 8*d. Give -6*g(z) - 7*t(z).\nAnswer: -2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5848819?\nAnswer: 5848819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 96729 equal to -74\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -246 - -253. Suppose -1110 = -9*y + i*y. Is 37 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 439, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3 = -45. Let p = -842\/3 + 278. What is the common denominator of p and 1\/(-4)*-2*m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**2 - 20*j - 18200.\nAnswer: 4*(j - 70)*(j + 65)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 29822115.6 to the nearest 1000.\nAnswer: 29822000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 11 = 3. Let r(k) = 0*k**l - 14*k**3 - 7*k**2 + 2 + k**2 + 15*k**3 + 4*k. Let d(t) = 5*t. Let c be d(1). Calculate r(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 4*l + 2*a + 10, 0 = 3*l - 5*a + 1. Let o be 5\/(-2)*l\/1. Suppose 0 = -x - 2, 0 = -u - 3*x + 1 + o. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 293 - 202.92. What is h rounded to zero decimal places?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3337481836?\nAnswer: 2, 13, 41, 193, 8111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, c: 8, s: 3, m: 2}. Give prob of sequence cbb.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l + 5. Let w(v) be the first derivative of v**2 - 6*v - 181. Calculate -4*u(h) - 3*w(h).\nAnswer: 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1130.9990695 + -1131. Round b to 5 decimal places.\nAnswer: -0.00093","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.7892 - -97.6652. Let v = -0.015 - 96.985. Let n = v + r. Round n to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - (-16)\/10) + 6\/(-10). Let h be v + 0 - (1 + -3 + -1). Solve 0*m = h*y - 4*m - 36, 0 = -5*m - 25 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12270 = c + 4*c. Let d = c + -1684. Suppose 0 = -2*k + 2010 - d. Round k to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2181*m**2 + 2*m + 7. Let f(p) = 2202*p**2 + 2*p + 8. Calculate 9*f(w) - 10*t(w).\nAnswer: -1992*w**2 - 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33*m**4 + 8*m**3 - 58*m**2?\nAnswer: -792*m + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from zzzzzzzczzzz.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - f + 4 = 0, 0*h - 2*f = 2*h. Which is bigger: -4\/95 or h?\nAnswer: -4\/95","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1655583131223 + 5.\nAnswer: 4.8344416868777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s. Let n(j) be the second derivative of -j**4\/4 - 5*j**2 + 5*j. Let m(q) be the first derivative of n(q). Give y(m(p)).\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 + 8*b + 3. Suppose -4*q + 7 = -9, -5*a + 2*q = -7. Suppose 4*y = 2*y + 2*p + 20, -a*y + 2*p + 27 = 0. Is 10 a factor of v(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 795*g - 1. Let b be w(1). Is (-3 - -5)*b\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 938 and 1598218?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -37*j**2 + 9*j - 2. Let x(n) = -55*n**2 + 13*n - 3. Calculate 7*o(i) - 5*x(i).\nAnswer: 16*i**2 - 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 12, y: 3, x: 4, m: 1}. Give prob of picking 3 x.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -9*t. Let h(n) = 37*n - 1. Let i(a) = -2*h(a) - 9*l(a). Differentiate i(s) wrt s.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1224585202 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2 = -31. Suppose 4*f + 77 = -31. Let b = -16 - f. Calculate the highest common factor of b and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -6839989 and -6839987 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2\/15, -1, 5, -5, 1\/39, 0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -0.09 (b) 1462 (c) 0.5 (d) 2 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 2, -442, -0.1, 3\/7 in increasing order.\nAnswer: -442, -16, -0.1, 3\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6124137*r**3 - 4839333*r**2 wrt r.\nAnswer: -36744822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-38*z - 36*z + 26*z)*(4*z**3 + z**3 + 8*z**3) + (-3*z + z + 4*z**2 + 0*z)*(3*z - z**2 - 3*z) as h*z + c*z**2 + y*z**3 + f + d*z**4 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17153926?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0014891 to five dps.\nAnswer: 0.00149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45 + d**2 + 150 - 464 - 152.\nAnswer: d**2 - 511","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 992436 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1800 = 11*f - 21*f. Suppose 0 = 3*s + 15*s - f. Calculate the remainder when 39 is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -14, -11, -6, 1, 10, 21?\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of -s**9\/37800 - s**8\/16800 + s**4\/24 + 3*s**2. Let f(z) be the second derivative of p(z). Factor f(u).\nAnswer: -2*u**3*(u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dkpdppkdd. What is prob of sequence kpd?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32c96 (base 13) to base 10.\nAnswer: -92228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**8)**(-22)\/(b\/b**14*b**7\/b) assuming b is positive.\nAnswer: b**(-169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19.36 + -19.66. What is the nearest to 0.1 in -0.006, d, -1, -2?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - (1 - -10)) + (4 - 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*k + 1. Let o be -2*(-4)\/(k + 1). Let f be 1 - 3\/(-6)*2. Solve 4*c - f = -l + 4, 4*l = -o*c for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (122\/(-30) - -4)*2196\/(-122).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10852 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/8 or -46787?\nAnswer: -46787","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -1. Let k(d) = 2*d - 3. Suppose 24*f + 1 = 25*f, -3*f = -5*g + 2. Give g*k(h) - 2*j(h).\nAnswer: 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of 0*h + 0 - 1\/2*h**4 - 2*h**2 - 1\/40*h**6 + 1\/5*h**5 + 0*h**3. Factor y(x).\nAnswer: -3*x*(x - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - 6*n**2 + 7. Calculate w(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1244*p**3*u + 6*p**3 - 43*p**2 - 12*p*u + p - 12*u + 76 wrt p?\nAnswer: 7464*p*u + 36*p - 86","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(-1 + (-36)\/(-20))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i. Let a(t) = t**3 + 2*t**2 - 3*t - 2. Let k be a(-3). Let g(h) = -3*h. Let l(w) = k*g(w) - 5*y(w). Let j(o) = o. What is j(l(s))?\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 19a6 + 3?\nAnswer: 19a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-4 - (-34)\/7)*217 + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.20151905 - 5?\nAnswer: -4.79848095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 - 9)*(-t + 5*t - 2*t)*((-12 - 1 + 9)*(1 + 1 - 5) - 3 - 1 + 2 + (-2 + 3 - 3)*(2 - 4 + 1)).\nAnswer: -240*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9106 and 22?\nAnswer: 100166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j*j*j*j\/(j*j**24)*j**(-23) assuming j is positive.\nAnswer: j**(-43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = 9*h - 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of x**4 + 1869857*x**3 + 168*x + 35771 wrt x.\nAnswer: 12*x**2 + 11219142*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4285389 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -121452981*a**3*o**2 + 8*a**2*o**2 + 4798*a**2 - a*o**2 + a*o - 8*o wrt a.\nAnswer: -728717886*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5706287?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 9 = -2*s. Suppose 0 = -3*z - s, 5*l - z + 0*z - 1451 = 0. Round l to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2406)\/(-870) - 2) + -1. Let g = k + -547\/116. Find the common denominator of g and (-2)\/7 + 580\/168.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 7*z**2 - 9*z - 2. Suppose -3*u + 5 = 23. What are the prime factors of c(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-102)\/4*-1)\/(1\/(-8)*4).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-24)\/(-14)*(-21)\/(-6). Let n be u\/(-7)*2\/6. Put 1\/6, 0, n in decreasing order.\nAnswer: 1\/6, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (271005\/290)\/((-3)\/(-6)). Which is smaller: t or 1871?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 949459 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 47*l - 13. Suppose -4*z = 20 + 12. Let x(a) = 71*a - 19. Let k(j) = z*u(j) + 5*x(j). Is 39 a factor of k(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-2) - -4)*(-6)\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2. Let n(w) be the third derivative of -3*w**4\/4 + 5*w**3\/2 - w**2. Let z(b) = b - 1. Let d(k) = -n(k) - 15*z(k). Give h(d(a)).\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 293170?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -7*g**2 + 2*g - 8. Let d(o) = 8*o**2 - 3*o + 9. Let v(n) = 5*d(n) + 6*k(n). Suppose 0 = -3*f - 3*l, 14*f + 4*l = 13*f + 12. What is v(f)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -69193 * -0.4\nAnswer: 27677.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -3*u - 0*r - 63, -4*u + 4*r = 76. Let w = 30 + u. Suppose -f - 465 = -2*x - 3*x, -2*f - w = 0. List the prime factors of x.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/105772 and 61\/68240.\nAnswer: 2115440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 80914700 to the nearest 100000.\nAnswer: 80900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/270 and 28\/495.\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -10*a**3 - 175*a**2 + 7355*a + 15330 = 0.\nAnswer: -73\/2, -2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3173?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m + 10, 192*y + 5*m - 28 = 191*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((20\/(-70))\/((-12)\/63))\/6.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, p: 1, k: 1, f: 1, z: 1, y: 4}. What is prob of sequence wpy?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - 5490a?\nAnswer: -54910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 + 7172*s**2 - 25322*s**2 - 10 - 21.\nAnswer: -18150*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - 38*j**2 + 34*j - 216. Determine t(-39).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 332*z**3 - 2*z**2 + z. Let c be a(1). Let g = c + -469. Let j = g + 198. Is j a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*h**2 - 6*h**2 - 19*h**2)*(h - 324*h**2 - 306*h**2 + 105 + 629*h**2) to x*h**4 + d*h**2 + l + p*h + v*h**3 and give d.\nAnswer: -2100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of a**5\/12 + a**4\/24 - 7*a**3\/2 + 119*a**2. Does 4 divide t(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - 8*v**2 - 32*v - 22. What is t(11)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 + -0.9. What is the nearest to -2 in 1\/4, r, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vnvcvvixcccxcxccc. Give prob of sequence cixn.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of i**4\/12 + 2*i**3\/3 - 6*i**2 + 22*i. Let g be v(-6). What is the second derivative of w + g*w + w + 2*w + 2*w**2 wrt w?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/3 + 25*a**2\/3 + 113*a\/3 + 29.\nAnswer: -(a - 29)*(a + 1)*(a + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 67304157 divided by 22434719?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -9563, -19078, -28593, -38108, -47623, -57138?\n\"Answer: -9515*a - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 577*g**2 + 351*g - 703. What is the remainder when x(2) is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 36 + -17. Let g = a + -29. Let r be (-4)\/(-10)*g\/(-2). Solve 0 = -3*u - r*q + 14, 4*u = -u - q + 21 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*c**2 + 37 - 10 - 10 - 14 in the form w*c + n + x*c**2 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from raozorrrabrod. Give prob of sequence oz.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 greater than or equal to -0.36203?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 208 divide 11191648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 6*g**5\/13 - 82*g**4\/13 - 862*g**3\/13 + 1858*g**2\/13 + 3592*g\/13 + 960\/13 = 0.\nAnswer: -8, -1, -1\/3, 3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1958 and 11036?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.2, -0.1, -5, -0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of -g**6\/135 - 31*g**5\/90 - 865*g. Let b(f) = 0. Calculate f.\nAnswer: -31, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -3\/4 (b) 0.1 (c) 0.17 (d) 56\/11 (e) -1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 61587180 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33103, 132431, 297979, 529747, 827735, 1191943?\nAnswer: 1622371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**11)\/(g\/g**13)*g**(2\/3)\/(g*(g*((g\/(g**22*g))\/g*g*g*g)\/g)\/g) assuming g is positive.\nAnswer: g**(68\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(17) - sqrt(153)) + sqrt(17))*-2 + 2*(sqrt(17) - (-2*sqrt(17) + sqrt(17))))**2.\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -3. Let o = r - -3. Suppose -2*p + 56 = 2*a, 0*p + 28 = 2*p - o*a. Is 11 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1282 - 6) + -4 + 16 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m - 105 + 99 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106601597?\nAnswer: 653, 163249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-2)*(-3)\/3. Let x be 644\/(-63) + 6\/27. Sort f, 1, x in ascending order.\nAnswer: x, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*(-24)\/16 + (-1227)\/(-6). Suppose 0 = -b*v + 199*v + 120. What is the remainder when 57 is divided by v?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5598*t**4 - t - 184*t**3 - 204*t**3 + 390*t**3 in the form s + a*t**2 + h*t**4 + j*t**3 + n*t and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4968ab + 0?\nAnswer: -4968ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r + 1. Let g(k) = -4*k - 2. Suppose 5*z + 25 = 0, 4*d + z + 15 - 2 = 0. Calculate d*g(t) - 5*l(t).\nAnswer: -2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 246 and 14.\nAnswer: 1722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -949*k - 10*i = -937*k + 30, -21 = 7*i for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.3089l in millilitres?\nAnswer: 8308.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 i when two letters picked without replacement from {x: 2, l: 2, i: 6, q: 1, d: 3}?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m + 2*m + 187*m**3 + 40*m**3.\nAnswer: 227*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 45\/(-85)*-4 + (-2)\/17\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -56*c - 1582. What is p(-38)?\nAnswer: 546","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -927, -2\/9 in ascending order.\nAnswer: -927, -2\/9, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1, -17, -45, -85?\n\"Answer: -6*z**2 + 2*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -76 + 81. Suppose 0 = -2*t - q*s + 31, -s = 2*t + 8 - 35. Suppose 8 + 2 = -2*z, 2*z + t = l. Solve -l*h = 3, 4*g + 2 = g - 5*h for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2 - 6 = 0, 0 = -x + 4*b - 8. Suppose n - 1 = z, -9 = 3*z - 5*n - 4. Let g = z + x. Solve g = -3*d + d, 1 = h + d for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -79411 from 0.3.\nAnswer: 79411.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2808000 rounded to the nearest 100000?\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8\/13 in -0.12, 6, 8, 23, -3, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*l - 5178919 = -57*l + 2*d, 2*l - 2071597 = 5*d. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 337261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 114 and 13345961?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, 6, 55, -20 in ascending order.\nAnswer: -20, -5, 3, 6, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 - 23. Which is smaller: 1\/21 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**5\/5 - 2354*c**4\/5 + 940*c**3 + 4*c**2\/5 - 4702*c\/5 + 470 = 0. Calculate c.\nAnswer: -1, 1, 1175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rwttttrwwtw. What is prob of sequence ww?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 58 + 6 = 0. Suppose -7*w = -2*w - x - 19, -x = -3*w + h. Factor -c + 0*c**3 + 0*c - c**3 - c**5 + w*c**3.\nAnswer: -c*(c - 1)**2*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 364228 (base 10) to base 4.\nAnswer: 1120323010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pwapggpggpapgappwaa. What is prob of sequence pawg?\nAnswer: 175\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 609 is divided by 47.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 297468 to the power of 1\/3, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 5340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3685740 and 9951498.\nAnswer: 99514980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g - 7. Let j be l(-5). Suppose n = -3*r - 5, -13 - 2 = 2*r + j*n. Let m be (1 + r)\/(-1 - -2). Which is smaller: m or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*b + 46*b + 37 - 117 = 0 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -13 - 2*i**2 - 22 + 9*i + 32. Let r(y) = y**2 - 4*y + 1. Give -5*r(l) - 2*z(l).\nAnswer: -l**2 + 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l**2 + 153 + 103*l**2 - 75 + 19*l**2 - 76.\nAnswer: 117*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-7 - 0) + (52 - 44) - (24 + -25)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/444 + -875\/5772. Let g = 4 + -1. Let h be (0\/2)\/(g - 2). Which is the second smallest value? (a) h (b) -0.3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 2:34 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 z when three letters picked without replacement from {m: 4, o: 1, s: 6, z: 5}.\nAnswer: 15\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**4 + n**3 - 2*n**2 - n - 2. Let r(s) = 5*s**4 + 25*s**3 + 203*s**2 - 221*s + 8. Let t(o) = 4*p(o) + r(o). Factor t(j).\nAnswer: j*(j - 1)*(j + 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/2670 and 19\/38524?\nAnswer: 51429540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(((-70)\/(-7))\/((-4)\/(-1))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -6*t - 60. What are the prime factors of (t\/7)\/(8\/(-84))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -56633*f**3 - 91702*f**2 wrt f?\nAnswer: -339798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 21.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -0*w - 2*w + s, 0 = -480*s + 475*s + 25 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -548 - -6562?\nAnswer: 6013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7128 and 168993.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + 5828?\nAnswer: 5823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0118 + -20.9882. Let p = x - -20.5. Which is the closest to 8? (a) -3 (b) 7 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -52088 (c) 0.5 (d) -1 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -775162*x - 18 = -775171*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 3*c. Let g(w) = -36*w**2 + 321*w + 27. Let s be g(9). Let f(q) be the second derivative of 1\/6*q**4 + 0*q**2 + 0*q**3 + s - 22*q. Give y(f(j)).\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r - 2*r + 3*r)*(0 - 1 + 2)*(-83*r + 8*r - 137 + 139).\nAnswer: -75*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52, 115, 192, 289, 412, 567, 760, 997?\nAnswer: 1284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000001 (base 2) to base 3.\nAnswer: -2102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1073 and 0.03.\nAnswer: 0.1373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 444 + 18 = 77*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 617*i - 72. Is x(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3664 is divided by 375.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - 11. Let v(i) = -118*i**2 - 133*i**2 + 7*i - 8*i - 11*i. Let l be v(t). What is l rounded to the nearest one thousand?\nAnswer: -36000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 7:52 AM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6249 to the power of 1\/2, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -149 - -233. Is 28 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11846015 is divided by 586?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 9*h. Let t be f(1). Let i = 3 + t. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2321323 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 440, 896, 1386, 1928, 2540, 3240?\nAnswer: 4046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40 - 34. What is the third derivative of 11*i**5 - 11*i**5 + 3*i**z + i**6 + 8*i**2 wrt i?\nAnswer: 480*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n = -7*n - 14. Suppose -5*g - 922 = -n*c, -4*g - 398 + 1827 = 3*c. Suppose 38*b - 35*b = c. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13426 + 31781 + 34391 - 16317 + 36729 - 6017)*(-2*l + l - l) to m*l + x and give m.\nAnswer: -134282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1313 - -1300. What is the closest to 0.02 in d, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4601208 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8377 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 819 + 1323 = y, 0 = -2*y - p + 1071. What is the remainder when y is divided by 32?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*j - 49*j + 3702 - 3535.\nAnswer: -3*j + 167","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4, -1\/4, -0.2, 4\/5, 13655?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*n - 84 = 17*n for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 333 and 185?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -709 and 1.\nAnswer: -709","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -0*d + 3*d + 30, -2*d + 2*i - 4 = 0. What are the prime factors of (2841\/(-6))\/(((-5)\/(-2))\/d)?\nAnswer: 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1436968 to the power of 1\/2, to the nearest integer?\nAnswer: 1199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of 1\/2*a**3 + 0*a**6 + 25\/21*a**7 + 0*a**5 + 0*a**4 - 1 - 7\/2*a**2 + 9*a. What is the second derivative of v(w) wrt w?\nAnswer: 1000*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 378869 is divided by 37553?\nAnswer: 3339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 447*q - 888*q + 441*q + 1718*q**2.\nAnswer: 1718*q**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 214 + -15 + -367 - (-40 + 1)?\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -4104547 equal to -4104547?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 937 a factor of 777323956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {l: 7, u: 1}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 3, 0.02, -7.49 in decreasing order.\nAnswer: 3, 2\/5, 0.02, -7.49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6 and 6490209085.\nAnswer: 6490209091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -1\/3, -4, -0.2, -1327?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13405?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -34? (a) 2\/5 (b) 1\/10 (c) -2\/373 (d) -1\/5 (e) -24 (f) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 4*q**3 + 2*q**2 - 3*q + 2. Let j be 1\/1*(0 - -4)\/4. Let r be k(j). Solve 3*b - 2*b + m = 0, -4*b - 36 = -r*m for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/((-5)\/18) + 0. Solve -16 = -2*s - 2*s, -n + 4*s = x for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 19 = -4*l, 4 = 2*t + 3*l - 3. Find j such that 14*j**4 + 0 + 8\/3*j**2 + 98\/3*j**t + 0*j - 16*j**3 = 0.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/2 (b) -0.448 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - t + 1. Let o(w) = -w**3 - 30. Let b be o(0). Let y(u) = 10*u**3 - 6*u**2 - 5082 - 30*u + 36*u**2 + 5112. What is b*s(a) + y(a)?\nAnswer: 10*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53072624 is divided by 384584.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d + 2. Let r be a(3). Suppose 3*n + l + 1 = 15, r*l - 18 = -2*n. Let m(b) = -n*b**2 + b**2 + 4*b**2. Let t(v) = 2*v. Give m(t(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together 561358.61918 and -1.\nAnswer: 561357.61918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 2*s**2 + 5*s + 6. Let g be w(-4). Let l be (-4)\/7*(-63)\/g. Suppose -l*t = -4*m - t + 37, m - 4 = -5*t. Solve -11 - m = -5*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + -1722?\nAnswer: -1726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 22764.\nAnswer: 113820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence khk when three letters picked without replacement from hkhhkh.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -75*i + 4. Let v(u) = 825*u - 45. Give -45*t(z) - 4*v(z).\nAnswer: 75*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5760 and 6?\nAnswer: 5760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36415?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g + 3. Let b(a) = a - 1. Let o(w) = 2*b(w) + q(w). Let z(j) = -4*j - 396 - 388 + 1167 - 389. Let s(r) = -3*o(r) - z(r). Give s(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-5*(3*sqrt(8)\/sqrt(4) + sqrt(2)))**2 + (4 + 3*sqrt(242))**2 + -1.\nAnswer: 264*sqrt(2) + 2992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 495 and 27?\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4776 - -7775. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in eleven halves of a week?\nAnswer: 924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -1\/19835 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(3\/3)*1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -32*o - 58. Let l(x) = -16*x - 29. Let y(w) = -7*l(w) + 3*p(w). Let h(q) = -3*q - 6. Let g(b) = -11*h(b) - 2*y(b). Is 5 a factor of g(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 3*r - 1337 = 0, -9*y - 318 = -10*y + 4*r. Let c = y - 330. Solve c = 2*v + 6 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of 1\/14*y**4 + 8*y + 57\/7*y**2 - 155 + 20\/7*y**3. What is v in d(v) = 0?\nAnswer: -28, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n - n - 12*n**2 - 4*n.\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 835*g + 5757 = -4631 + 1203 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29485 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3261 > 0.386?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*k - 18. Let g be (-4)\/k + (-2260)\/(-25). What is the greatest common factor of 10 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/13 or 1053.4?\nAnswer: 1053.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence snn when three letters picked without replacement from nsnsnsksnknnkknsn?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -w**4\/4 + w**3\/3 + 21*w**2\/2 - 6*w - 909. What is z(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (76\/(-57))\/((-33)\/(-108)). Is -5 <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 593770, 2375146, 5344104, 9500644?\n\"Answer: 593791*j**2 + 3*j - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s**4 - 76146*s**3 + 456804*s**2 - 913560*s + 609024 = 0. What is s?\nAnswer: 2, 25376","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 354929 (base 10) to base 16.\nAnswer: 56a71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 1 = -3*m. Determine x, given that -2\/15*x**m - 4\/5*x - 6\/5 = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-12)*(72\/64)\/(-3).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130415.\nAnswer: 5, 26083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/3)*d)**(13\/4)*d**(-2\/5)\/d*d**(-1)*d)**(-19) assuming d is positive.\nAnswer: d**(361\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -517840.046 to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 0.3, -4\/5, -4, 35005 in ascending order.\nAnswer: -7, -4, -4\/5, 0.3, 35005","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of -a**4\/8 - a**3\/6 + a**2. Is 10 a factor of g(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-19 + -24 + -1 + -4).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/9 (b) -75 (c) -1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 4, 2\/17, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s + 7. Let t be g(-4). Suppose 5*b = -0*d + 2*d, -t*d = -4*b. Suppose 0*x + 4*x - 3*p = 98, -x + p + 24 = d. What are the prime factors of x?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 6:07 AM?\nAnswer: 10:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 896926 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 5*l = -3*q - 26, -q + l - 4 = 0. Let v = 44 - 45. Let o = -218\/5 + 44. Which is the closest to q? (a) o (b) v (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 754210575 to the nearest integer?\nAnswer: 27463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 PM and 3:54 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-7)*2954\/422*43\/(-1)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 780650 at most as big as 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 64\/28 + 4\/(-14). Suppose -d - 5*b + 18 = 0, 0*d = t*d + b. Let l be d - (-23 + (3 - 2)). Solve v - l = -3*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -119.859188 and 0.5?\nAnswer: -59.929594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 44168910?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/9 + 56*p\/9 + 55\/9.\nAnswer: (p + 1)*(p + 55)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1fbf0 (base 16) to base 11.\nAnswer: 89771","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 2:10 PM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 3*s**3\/8 - 1021*s**2 - 81953*s\/8 - 36891\/4 = 0.\nAnswer: -9, -1, 8198\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 179 + -169. Suppose -4*w = -n - 359, -3*w = -6*w - 5*n + 275. What is the highest common divisor of w and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/18 + (-2)\/(-4). Suppose -5*k + 463 - 23 = r. Does 41 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 - 22*f + 7. What is the units digit of y(22)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 14*t - 7. Let b be w(3). Solve -5*p = 3*z - 37, -9*z + 4*z + b = 3*p for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28620 and 19080.\nAnswer: 57240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/9303 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1152e - f?\nAnswer: -1153d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.628 - 4.628. What is the nearest to 11 in 4, j, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3200 is divided by 288?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 129793 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 5*j**2. Let r = 3 - -1. Suppose 2 = -h - r*o, 3*o + 4 = 3*h + 5*o. Let u(p) = 6*p**2. Calculate h*u(t) - 3*i(t).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1207393?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f**2\/2 - 1183746*f = 0. Calculate f.\nAnswer: 0, 789164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/3 of a year?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((5*(sqrt(117)*1 + sqrt(117)))\/(sqrt(324)*-2))**2)*-4.\nAnswer: -325\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 3*z + 2. Let s be g(2). Let a be (-1)\/s - (-27)\/12. Differentiate -2*m**4 + m**4 + a + 0 - 4 with respect to m.\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 1 - 5 - 35 - (-83 - -96).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -12. Sort 0, d, -2, -3 in ascending order.\nAnswer: -3, -2, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5428985 to the power of 1\/3, to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 2 - 2*i + 2 + 12.\nAnswer: -2*i + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of 0 + 2*w + 1\/3*w**4 + 1\/2*w**2 + 1\/2*w**3 + 1\/20*w**5. Let s be q(-3). Let t(h) = -7*h**2 + 1. What is t(s)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 25\/2 of a century?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20 in 5, 2, 8\/15, -4, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3951 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaaaaaaaafaaca. What is prob of sequence faac?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -135769 in descending order.\nAnswer: -3, -5, -135769","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 b when two letters picked without replacement from {o: 3, b: 2, k: 10}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -833 - -2199. Let l = -327 + x. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.109996 + -3.0518. Let f = -0.058 + s. What is f rounded to five dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -6*b**2. Let y(r) = -1529*r. Give y(w(i)).\nAnswer: 9174*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 5*j**3 + 40*j**2 - 45*j = 0.\nAnswer: -9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -81, 3 in decreasing order.\nAnswer: 3, 1, -2, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 10.59422*34\nAnswer: 360.20348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 78 - 236\/3. Let q = 0 + 1. Let k = 8 + -6. What is the nearest to q in k, 5, r?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 22044, 88211, 198518, 352977, 551600, 794399?\n\"Answer: 2*k**3 + 22058*k**2 - 21*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 752.5262 tonnes?\nAnswer: 752526200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 67\/156 - 9\/26. Let q(t) be the second derivative of -1\/80*t**5 + 0 - 1\/6*t**3 + 8*t - o*t**4 + 0*t**2. Let q(j) = 0. Calculate j.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1703 and 38727?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14 + 21375?\nAnswer: 21411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or 37\/13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/2*10 - 2. Suppose i*j = -r + 10, 2*r = -3*j - 3*r - 10. Suppose j*m - 15231 = 79769. Round m to the nearest 1000.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*p + 38*t = 21*p + 21*t + 20*t + 30, -2*t - 20 = -p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-60)\/242880*33*(-32)\/12\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 143\/150 - 3\/25. Let b = -1.9 - -2. Let p = -3.9 - b. Put l, p, 1\/8 in decreasing order.\nAnswer: l, 1\/8, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 509*x**2. Let q(y) = -13*y - 2. Let t(s) = -69*s - 8. Let b(o) = 8*q(o) - 2*t(o). Calculate f(b(k)).\nAnswer: 588404*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -1288300 to the nearest 10000.\nAnswer: -1290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of 5*y**4\/12 - y**3\/3 + 5*y**2\/2 - 10*y + 3. Let u(d) = -6*d**2 + 3*d - 6. Determine -6*u(i) - 7*z(i).\nAnswer: i**2 - 4*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/417601 or -1?\nAnswer: -1\/417601","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-2) - (-2951)\/1521. Let z = 2\/39 - s. Factor 4\/9*l + 0 + 2\/3*l**3 - z*l**2.\nAnswer: 2*l*(l - 1)*(3*l - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*i**3*y**2 + 15*i**3*y - 2*i**2*y + 3*i**2 - 3958584*y**2 - 3*y + 278 wrt y?\nAnswer: -10*i**3 - 7917168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -584, -2588, -5926, -10598, -16604, -23944, -32618?\n\"Answer: -667*y**2 - 3*y + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -20530.7\nAnswer: -82122.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z - 1. Let o be h(-4). Suppose -4 = 8*k - 20. Let c be (-1)\/2 - 11\/(-2). Sort o, k, c in ascending order.\nAnswer: o, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23833 is divided by 105?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3*g - 5. Let r(d) = d. Let x(u) = 4*r(u) + z(u). Let t be x(5). What is the second smallest value in t, 0.2, 0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3*t**2 - 5*t + 7. Let v(o) = 2*o**2 - 2*o + 3. Let m(k) = 5*v(k) - 3*x(k). Calculate m(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 304541?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*j - 1 = 75 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 468572*n + 16 - 468572*n + 1574*n**2.\nAnswer: 1574*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*d - 162 = -6*d - 20*d. Let h(p) be the first derivative of 4\/3*p**3 + d*p**2 + 0*p + 23. Determine i, given that h(i) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3480 + 3467. Which is smaller: -5 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111 (base 2) in base 4?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(153) - (1*sqrt(153) - sqrt(153)) - sqrt(153))*-6 - sqrt(153))*5)\/(sqrt(99)\/(sqrt(33)\/sqrt(12))).\nAnswer: -5*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hp when two letters picked without replacement from {h: 1, g: 1, a: 1, d: 1, p: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 470738 is divided by 470717.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 12022120 (base 3) to base 10\nAnswer: 3876","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/15, -2317, -5171?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -44*r - 905. Calculate f(-18).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.17 - -0.17. Which is the closest to f? (a) -0.5 (b) -4\/3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7711 + 125?\nAnswer: 10036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 20*w. Let z(n) = -3*n. Let q(y) = 3*b(y) + 21*z(y). Let c(t) = 4*t - 2*t - 3*t. Let u(x) = x**2 - 5*x. Let s(m) = -5*c(m) + u(m). Calculate q(s(d)).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -13. Let p be 2\/v - (-5)\/4. Which is the nearest to p? (a) -5\/7 (b) 0.2 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + x**2 - x - 20. What is m(0)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1457571218?\nAnswer: 2, 26309, 27701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-4*1*sqrt(2)*-1*3)**2.\nAnswer: 7200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 377691000 rounded to the nearest 1000000?\nAnswer: 378000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/((4\/(-70))\/1 + 340\/(-175)). Let o be (15 - 2) + 0\/2. Solve -o*v + 5*v = w for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 PM and 4:37 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -38 + 13. Let v = 0 + 64. Let l = t + v. Does 6 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -8*f**3 - 3*f**3 - 3*f**3. Give w(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24134 (base 5) to base 9\nAnswer: -2413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 4*o + 2, -1 = -3*o + 2. Which is the nearest to 5? (a) 3 (b) -1\/10 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from fffffff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 20*q = 3*i + 15*q - 20, 0 = 5*q + 20. Suppose 72 = 2*b + 2. Solve i = 4*f + f - 4*l + 5, 5*f + 4*l = b for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/226 or 3?\nAnswer: 1\/226","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11757 = -234*t - 5559 + 6204 for t.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44147348?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 8*q - 4. Let p = 29 - 78. Find the common denominator of p and (-1)\/((-93)\/(-95) - q).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 8*m = 12, 9*m + 4 = -l + 14*m for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6033 is divided by (-21)\/(-175)*-5*-55.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + 156 + (6 - 4). Let l be (k\/(-10) - 6)\/(2\/(-4)). Suppose -5*f + l = 53. What is the nearest to -0.1 in -5, -1\/4, f?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a decade in months?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.6 + -0.5. Let j = -1.8 - 0.2. Let u = 7 + -2. Which is the nearest to 1? (a) q (b) u (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + n**2 + n + 1. Let p = 5 + -4. Suppose 0 = -2*m - 7 - 5. Let q(w) = 7*w**3 + 6*w**2 + 6*w + 6. Give m*d(z) + p*q(z).\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/9, 24, 13 in decreasing order.\nAnswer: 24, 13, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - -2. Suppose -5*c - 11 = a. Let o = c + 4. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1271)\/19 + ((-10)\/475)\/(-2 + (-88)\/(-40))\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 2*g = -4, 0*g - 3*g = -3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2522\/5 - 505. Sort 0, t, -0.5 in descending order.\nAnswer: 0, -0.5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2955*v**2 + 2356*v wrt v.\nAnswer: 5910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 62 and 496.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 40*z - 170*z**3 - 21*z + 59*z in the form y*z**3 + u + m*z + d*z**2 and give y.\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gxg. What is prob of picking 1 g and 1 x?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9ccce (base 15) to base 5.\nAnswer: 111432034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -56.804 - -56.6. Which is the biggest value? (a) -1\/4 (b) x (c) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**5 + 154*z**4 + 6081*z**3 + 11704*z**2 + 5776*z = 0.\nAnswer: -76, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46597 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*w**2 + 2*w**2 + 2*w**2)*(-3 - 2 + 3) - 277 + 314 - 2*w**2 - w**2 to the form u*w + p + k*w**2 and give p.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 33*r**2 - 5*r. Let l(d) = 17*d**2 - 2*d. Let a(b) = 2*k(b) - 5*l(b). Let p(o) = o. Calculate p(a(f)).\nAnswer: -19*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 5*m = 10544, 6228 = 3*h + m + 22061. Let c = 52827\/10 + h. Calculate the common denominator of c and (-244)\/(-24)*4\/6.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.53, 28, 5, -2 in descending order.\nAnswer: 28, 5, 2, -0.53, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x**2 - 7*x + 17. Let l(j) = 4*j**2 - 6*j + 17. Let b(u) = -2*l(u) + 3*q(u). Let t be b(7). Factor 2\/3*n**t + 0 + 1\/3*n**4 + 0*n + 0*n**2.\nAnswer: n**3*(n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 322872 != 322872?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s - 3. Determine y(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((102\/75)\/(-17))\/(2\/(-5))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u**2 + 1 - 2*u**2 + 2*u + u**4 + u**4 + 3*u**2 in the form i*u**2 + t + s*u**4 + c*u**3 + p*u and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6492?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/7, 16, -2\/2289, -0.1, -12\/11, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 6:39 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3\/4 (b) 2 (c) 11 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 441253 (base 6) to base 16\nAnswer: 8f01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38864 and 18634?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -70 - -72. Let k be (-6)\/(-48) + l\/(-16) - -2. Suppose q - 214 = 2*m, k*m = -5*q + 6*m + 1058. What is the greatest common factor of 15 and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -5, -0.2, -5\/523?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.09, 0.4, 5\/4, -0.2, -8 in decreasing order.\nAnswer: 5\/4, 0.4, 0.09, -0.2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*((-42455)\/10 - 11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*k + 26*k = -116*k + 1520 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1462900 rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 - 7. Suppose 0 = -7*p + 4*p + j. Let i = -14 - -35. Calculate the highest common factor of i and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3695 + -169997\/46. Let n be (4\/(-10))\/((-23)\/(-5)). Let o = w - n. Which is the second biggest value? (a) 4 (b) o (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 243 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*a**2*p**3 + 89*a**2*p**2 - 2*a*p + a - 284*p**3 - p**2 wrt p?\nAnswer: -30*a**2 - 1704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -146 + 118. Let f = 4 + 0. Calculate the least common multiple of h and f.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -275a8 + -42?\nAnswer: -2763a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of 4*i**6\/3 + 2*i**5 - 2*i**3\/3 - 5163*i**2\/2 + i - 7346. Find the second derivative of v(b) wrt b.\nAnswer: 160*b**3 + 120*b**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-74)\/1221*3*1.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106122.\nAnswer: 2, 3, 23, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 267. Let g be q(0). Let x be g\/9 + (-3)\/(-9). Solve -5*n + 11 - 29 = -c, 0 = -5*n - 5*c - x for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (7 + 4)) + -1 - (1 - 8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 3:39 PM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -631475.6 rounded to the nearest one thousand?\nAnswer: -631000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000582948 rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/41 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one quarters of a milligram in micrograms?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -3*n**2. Let w(h) = -155*h - 85. Let p(s) = 11*s + 6. Let d(g) = 85*p(g) + 6*w(g). What is d(f(o))?\nAnswer: -15*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 737 - 4757\nAnswer: -4020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -13*r**2 - 7*r - 7. Suppose -231*h + 233*h = -14. Let t(q) = -6*q**2 - 3*q - 3. What is h*t(j) + 3*m(j)?\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 39 (b) -1\/3 (c) 3 (d) -3 (e) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -111 - -71. Let v = w - -39.99. What is v rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 391739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -x + 3*j + 30, 0 = 3*x - 5*j - 30. Suppose -x*b + 596 = 546. Solve b*r = 12 + 3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 2 = -8. Suppose -4*f + 2*g + 12 = 0, -f + 4 = g - 2. Let n be ((-16)\/6)\/((-16)\/24). Solve -4*s + n*v = f, 0*s = 2*s + w*v + 14 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/2 (b) -1\/2 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -3*v**3 + 2*v**2 - 31*v - 27. Let i(y) = 4*y**3 - 2*y**2 + 33*y + 30. Calculate -6*f(n) - 5*i(n).\nAnswer: -2*n**3 - 2*n**2 + 21*n + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of 0 - 1\/4*j**4 + 0*j**3 + 4*j + 0*j**2. Solve r(u) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 760.29 + -728. Let s = 333.79 + -335. Let o = s - d. What is o rounded to the nearest integer?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**4\/2 - 297*n**3 + 11574*n**2 - 131879*n + 598899\/2 = 0 for n.\nAnswer: 3, 19, 553","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3648443111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 j when two letters picked without replacement from jjxdgxduxdyxxj.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 2 = 2*p. Solve -2*s + 3*s = -p for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.172 minus 28484807?\nAnswer: -28484807.172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*v - 3*f = -12*v + 5, -4*v + 5*f + 45 = 0. Let z = 0 - -4. Suppose -q + 261 = z*w, v*q - 798 = -w + 526. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 11\/4 of a hour?\nAnswer: 9900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 52353, 52354, 52355, 52356?\n\"Answer: c + 52352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13233691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 50\/(-20) + (-220)\/(-8). Solve 26 = l + z for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c - 7. Give s(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 10012101110 (base 3) to base 10\nAnswer: 62976","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 59148.32 millennia in years?\nAnswer: 59148320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*1 - 60\/(-4). Suppose 0 = -g - 3, 0*j + 5*j - z = -g. Let p = 0.326 - -0.074. Put j, p, 5 in increasing order.\nAnswer: p, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2. Let s(j) = -1838*j**2. Calculate d(s(y)).\nAnswer: -3378244*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3*c**2 - 2*c + 1. Let s be n(-2). Let p = 2421\/5 - 467. Which is smaller: p or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, x: 1, v: 1, n: 1, s: 1}. Give prob of picking 1 x and 1 n.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 11*l**3 - 4*l + 1. Suppose -4*q = -33 - 3. Let u(r) = 22*r**3 - 9*r + 2. Determine q*j(w) - 4*u(w).\nAnswer: 11*w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-310)\/(-496) + 33350\/(-368)?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 9*z**2 + 5*z - 11. Let f(a) = -13*a**2 - 7*a + 16. Let i(d) = -5*f(d) - 7*o(d). What is the units digit of i(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1141 is divided by 255?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = 3*s + 231. Is 26 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 2*d**2 + 89. What is the units digit of r(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*j - 6120 + 953 - 4370 + 2366 = 0 for j.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1235, 1805, 1591, 599, -1165?\nAnswer: -3695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tntu when four letters picked without replacement from {n: 10, u: 1, t: 9}.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -41569, -166282, -374143, -665158, -1039333, -1496674, -2037187, -2660878?\n\"Answer: -a**3 - 41568*a**2 - 2*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 4. Let c be -7 + p - 18\/4*-2. Put 5, -5, c in descending order.\nAnswer: c, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 17, z: 2}. What is prob of sequence pz?\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9258 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 146*n**2 + 21*n - 107. What is the units digit of x(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 261124.\nAnswer: 2, 97, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 149 - 198. Is -52 < l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/319, 991, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -f**5\/3 + 203*f**4\/3 + 43*f**3\/3 - 8771*f**2\/3 + 2842*f = 0.\nAnswer: -7, 0, 1, 6, 203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -2*q + 301, 4*n - 1 - 3 = 0. Does 15 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33896 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 29045569 to the power of 1\/3, to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18.1 + 18.10083. What is p rounded to 4 dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/3*v + 0 - 2\/3*v**2 + 2*v**3.\nAnswer: 2*v*(v - 1)*(3*v + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t + 4. Let d be f(2). Let b be 20\/6 + 1\/(-3). What is the third derivative of -11*g**2 - 2*g + 10*g**d + 2*g + b*g**6 wrt g?\nAnswer: 360*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 3*n**3 + 2*n**2 - n + 4. Let u be p(-3). Let x be 357 + 0 + 4 + -6. Let s = x + u. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 13*z**2 - 41*z - 24. Calculate m(16).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42 - 34 - (21 + -4 + 5 + 1).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a = -3*a + b - 5, -3*a + 17 = -2*b for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a centimeter in millimeters?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4368843 by 387.\nAnswer: -11289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 5*a + 656. Let z(r) = r**2. Calculate l(z(s)).\nAnswer: 5*s**2 + 656","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1399658 divided by 17069?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 808788 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of ((-2)\/((-2)\/(-1)))\/(18\/(-1026))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -852 - 22648 = -188*z. What is the greatest common divisor of 10475 and z?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/3))**(-45)*x**(19\/5)\/(x*x*(x**22\/x)\/x))**(-1\/29) assuming x is positive.\nAnswer: x**(-59\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128*t = 80502 + 193034. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 6. Let j = l + 5. Suppose 43 = 4*c - j. What is the highest common factor of 44 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of -84*z + 9\/4*z**4 - 29*z**3 - 24 + 90*z**2. Suppose g(l) = 0. What is l?\nAnswer: 2\/3, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1438.\nAnswer: 2, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 18a5 (base 12) in base 2?\nAnswer: 101110111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 g when three letters picked without replacement from {g: 10, f: 2}.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from donbttcbtottoto. Give prob of picking 1 t, 1 o, and 1 d.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 6. Solve 0 = -a - l for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 80*d**2 + 10*d. Let w be 22 - (-3)\/(-1 - -4). Suppose -17 - w = -4*h. Let v be o(h). Round v to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/3 + (-2)\/(-3). Suppose -3*j - 2*j + 10 = x. Let r(p) = 367*p**3 + 4*p - 5. Is r(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003064 to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 143417176 and 41?\nAnswer: 143417135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-3\/14)*g**16\/g assuming g is positive.\nAnswer: g**(207\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(0 + (3*(sqrt(304)*1*-3 - sqrt(304) - sqrt(304)) + (sqrt(304) + -1 + 2)*-1)**2).\nAnswer: 512*sqrt(19) + 311300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.95 - 0.05. Let r = 2 + p. Which is the smallest value? (a) 5 (b) -0.4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16687213?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2\/7, -1, -0.09?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4301 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.33922 + 1.008572. Let l = f + 1.33. Round l to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -55*y + 4*y**3 + 28*y - y**4 - 20*y**2 + 52*y**3 - 2*y**3 + 22*y**2 - 27*y**5 - 1 = 0?\nAnswer: -1, -1\/27, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 137933 by 14.\nAnswer: 137933\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {q: 16, y: 4}?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + 15*2*3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7808 * 0.5\nAnswer: -3904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -10176 divided by -159?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 971 or 955?\nAnswer: 955","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 6:15 PM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3299421?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -335 + 25510?\nAnswer: 25131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 + 21*o - 108. Determine m(14).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 818717 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -2. Let q(h) = -4213*h - 5. Let w(l) = 5622*l + 6. Let s(k) = -4*q(k) - 3*w(k). Give s(m).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 240215, 240206, 240189, 240164, 240131, 240090?\nAnswer: 240041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/171 and -17\/267498?\nAnswer: 5082462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -10\/358023 and -145\/336408.\nAnswer: 306467688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 45852120 to the power of 1\/3, to the nearest integer?\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 3424460?\nAnswer: -3424456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 75274 to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4619*14\nAnswer: 64666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*q + 18*q + 90 = 0. Let y(h) = 13*h + 4. Let p be y(3). What is the second derivative of -37*o + p*o - q*o**4 + 2 - 2 wrt o?\nAnswer: -108*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 5*a - 9*a. Suppose 89 = a*s + 5. Let f = s + -14. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11580 - -11586. Sort i, -48, 2, -3.\nAnswer: -48, -3, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 9) to base 2\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/946 and (-150)\/(-36) - (-8)\/6.\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130 is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - j = -1343, -68 = -g + j - 339. Let p = g + 555. Let i = p - 111. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*h**5 + 282801*h**3 - 4576845*h wrt h.\nAnswer: -80*h**3 + 1696806*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1389 - 0.0589. Is i at least as big as 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 59457 to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 102782928?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 9) to base 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2, 4\/5, -3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -175 divided by -6.\nAnswer: 175\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - 0. Let z be -5 - (n + (0 - 0)). Let g(i) = i**3 + 5*i**2 - 2*i - 4. Let p be g(z). Solve 4*c = 6*c + p for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) -2 (b) 4 (c) 15 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69 = -16*z + 58 + 81 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -375 divided by -15\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/4 + (-2)\/(-4). Let n(z) = -z + 12. Let j(m) = m**2 + 5*m - 9. Let q be j(-7). Let i be n(q). Solve 0 = -5*x + 4*c, l = -3*x + i*x + c - 21 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -122060946*o**2 + 569464*o + 1?\nAnswer: -244121892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-214)\/(237968\/417))\/(-2*34\/32).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36 + -35.9. Let s = 1.5 - 1. Which is the closest to f? (a) -3 (b) s (c) -0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -82 - (27\/81)\/(10\/(-390)). Suppose 16 = -2*z - 4*y, 0*y - 5*y - 19 = 3*z. Sort z, -2, g in decreasing order.\nAnswer: z, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/26 or -1\/165?\nAnswer: -1\/165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 126410 rounded to the nearest one thousand?\nAnswer: 126000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*b**3 + 16*b**3 - 129*b**3.\nAnswer: -14*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 99646339 to the nearest integer?\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 361*l + 4*l + 24738 - 2886 + 11363 for l.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ewezzwezoooezzozpeze. Give prob of picking 1 w, 1 z, 1 e, and 1 p.\nAnswer: 28\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 - 14*y**2 - y + 19. What is t(14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 23*f**3 + 13*f**3 - 4*f**2 - 15779348*f**4 + 15779349*f**4 + f to t*f**3 + a*f + i + p*f**2 + c*f**4 and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jhjhhvajhqh. What is prob of sequence hq?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.59 + 0.01. Let v = -0.7 + n. Let c = -0.2 - v. Is -2 greater than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22022 - -2111?\nAnswer: 101210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -60634, -60632, -60630?\n\"Answer: 2*l - 60636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 14*x**3 - 6*x**2 - 6. Let v = 6897 - 6892. Let l(f) = -f**3 + f**2 + 1. What is v*h(o) + 30*l(o)?\nAnswer: 40*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -46 - -54. Let o = -6 + b. What is the closest to 1 in -1, -0.03, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1490*s - 1493*s + 7482*s + 13*s**3 - 1497*s - 1501*s - 1501*s.\nAnswer: 13*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1341711376*s**3 - 1172684652 wrt s?\nAnswer: -4025134128*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*o = 31*o - 48 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, e: 3, x: 1, v: 1, j: 3, c: 3}. Give prob of picking 1 c, 1 v, 1 e, and 1 a.\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*i + 94*i + 132 = 0. What is the units digit of 48\/18*(-123)\/i + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11 - 10 + 5*v**4 - 4*v**4 wrt v.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r + 2*w + 20, -3*w - 17 = -4*r + 5*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2*-1*(-14)\/(-4) and (-2)\/9 + 7437\/1755 + 502\/(-1255)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.17 + 0.17. Let p = -2.14 - -2. Let h = -0.05 - p. Which is smaller: w or h?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (163 - (145 + 31)) + (39 - (1 + -3)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d**2 + 4*d**2 + 7*d**2 - 3*d**2.\nAnswer: 14*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 67.610578 to one dp.\nAnswer: 67.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-11)\/22 + (-66)\/(-4). Let d be p - 7*24\/28. Solve 5*o - 2*q - d = 7*o, -5*q - 25 = -3*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 10 = -22. Let a be l\/(-3) + (-10)\/(-30). Suppose -i = f - 44, 0 = -4*f + 3*i + 165 + 11. Calculate the greatest common divisor of f and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k**2 + 5*k + 1. Let a(h) = 36*h - 112*h + 42*h + 33*h. Determine -6*a(w) - y(w).\nAnswer: 2*w**2 + w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5189\/3 + 1760. Let s = -61 + 92. Let a = 62 - s. Which is smaller: r or a?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33414?\nAnswer: 2, 3, 5569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of 13*y**3\/6 + 13*y. Let i(n) = 3*n. Calculate i(l(p)).\nAnswer: 39*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*a + 38*a - 357736015. Let m = 293631 - a. What is m rounded to the nearest 100000?\nAnswer: -5200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 PM and 11:07 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(72) + -4 + sqrt(14)\/sqrt(175)) + 4.\nAnswer: -186*sqrt(2)\/5 + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 190423586.\nAnswer: 2, 19, 5011147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + 6*c + 9. Let g = 1 - 9. What is the remainder when d(g) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-4\/7))**27*(((r*r**(-26)\/r)\/r)\/r)**(-1\/3) assuming r is positive.\nAnswer: r**(-128\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/2265155 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 229?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/37128 and -83\/9552504?\nAnswer: 66867528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.234 - -2.706. Let o = -0.04 + y. Let d = o - 2.7. Which is the biggest value? (a) 0.8 (b) d (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30577 - -30580. Let n = -1496\/9 - -166. Suppose -4*s = -6 - 14. What is the smallest value in i, -3\/7, s, n?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 39 = 3*x - 0*w, 0 = -w + 3. Suppose 14 + 5 = d. Let k = 43 - d. Calculate the highest common factor of k and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - l = -3, -t + 0*l - 2 = -3*l. List the prime factors of (-3*t - (-37)\/(-2))*-4.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 352141305745 take away -0.8?\nAnswer: 352141305745.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 90296?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 4*v + 380, -5*v - 667 + 505 = -2*f. Solve -3*t + 73 - f = 0 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*q - 427 - 63 = q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b - 2. Let l be u(-3). Let q be 4*l\/6 + -1. Is q equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -272*a + 80. Let m(b) = -91*b + 29. Calculate 11*m(f) - 4*s(f).\nAnswer: 87*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 748755.72 to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**2 + 3555*o - 3550.\nAnswer: -5*(o - 710)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 1255 = 5*y - 1465, s = 14*y + 102 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 81 + -26184?\nAnswer: -26103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((165\/(-22))\/((-6)\/40))\/1\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, -1\/2, -70, -2, -2\/5 in decreasing order.\nAnswer: -0.06, -2\/5, -1\/2, -2, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 2*v = -8. What is the tens digit of (v + 0)\/2 + 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 - 80*r - 379. Let y be b(-5). Put y, 155, 1, 3, -5 in decreasing order.\nAnswer: 155, 3, 1, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 131131 by 11.\nAnswer: 11921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = u + 3*u. Suppose -t = 5*l + u + 1, l = -5*t - 42. Is 8 a factor of (-130)\/t + (-2)\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 259208?\nAnswer: 2, 32401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/4*(-274)\/685. What is the closest to 0 in 69, -0.1, k, -1\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1207, 4831, 10871, 19327?\n\"Answer: 1208*t**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*1 + 3 + (-264)\/(-8). Suppose 9 - a = 4*o. Let u(n) = 65*n**3 - 10*n**2 + n + 6. Let w be u(o). What is w rounded to the nearest 1000?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/3)\/(4\/(-156)). Let u(v) = 9*v**2 + v**3 + 2*v + 2*v - d + 2*v - v. Let n be u(-8). Is 11 smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of -v**2 + 36*v - 434. Give g(19).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2))**(1\/10)\/(o**(2\/9)*o**(5\/2)) assuming o is positive.\nAnswer: o**(-263\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 5*q = 10, -q = -z - 3*z + 2. Let u = -2 + z. Let c be (u + 2802)*2250\/(-7). What is c rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -89604 divided by 1048?\nAnswer: -171\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.9 + 4.9. Which is the nearest to -1\/3? (a) j (b) -2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + 1 - 9*(-13)\/13. Suppose 3024 = m*u - u. Calculate the greatest common factor of u and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60938 and 1118?\nAnswer: 34064342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -196138 + 327581. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.29623 and 0.5.\nAnswer: -0.148115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3*a - 1)*(-5*a**2 + 5*a**2 + a**2 + (1 - 1 - 2*a)*(0*a - 2*a + 3*a)) in the form m*a**2 + g*a + v*a**3 + u and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 11*q**2. Let w(m) = 736711*m. Calculate w(v(k)).\nAnswer: 8103821*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kfbbbkbbbbbfbkbkbbkb. Give prob of sequence bfkk.\nAnswer: 13\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2300123, -2300125, -2300129, -2300135, -2300143, -2300153, -2300165?\n\"Answer: -z**2 + z - 2300123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + (2\/(-4))\/(2\/(-136)). What is the highest common factor of 148 and p?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m - m - 2*m)*(-7*m - 11*m - m).\nAnswer: -19*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 4*s + 44 = q, -5*s = 5*q - 15. Suppose 4*o = -5*n + 93, 0*o = -2*n - 4*o + 30. Let i(h) = 51 - 16 - n + h - 17. Determine i(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5137 + -4358. What is the greatest common factor of d and 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20456 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -7*x + 14*x. Solve -s + 8 = -5*q, -5*q + 1 - 7 = -x*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-456)\/(-152))\/(93\/(-2)*1*-1)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -26 + 6. Let n = 121 - 120. Let g(m) = -n - d + 9 - m. Give g(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.45 - -0.85. Let d = 2 + -3. Which is the nearest to 1? (a) d (b) t (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 3 + 7. Suppose 5*q = -t + f*t + 4, -3*t + 28 = 5*q. Let g(u) = u**3 - 5*u**2 - 6*u - 2. What is g(t)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2685 and 13628523?\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 349847484 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 34*k**4*l - 406873*k**4 - 240613*k**2*l - 2*k**2 - 3*k*l + 2*l wrt k?\nAnswer: 816*k*l - 9764952*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 - 4*h. Let l(x) = 4*x**2 + 2*x - 5. Let s(m) = -m**2 - m + 1. Suppose -8 - 30 = -19*g. Let q(b) = g*l(b) + 10*s(b). Calculate -5*q(y) + 8*v(y).\nAnswer: 2*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + w = 3*w + 14, -4*v - 4*w = 24. Put -1\/3, v, 0.2 in ascending order.\nAnswer: v, -1\/3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -398*p - 7061 = -90 + 989 for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + 5*o - o)*(-29452 - 34729 + 413 - 16930 - 72757).\nAnswer: -153455*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 3:33 PM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -61*o*s - 416385*o + 11883702*s with respect to o.\nAnswer: -61*s - 416385","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + 5*3*-1*6*-5*(sqrt(17) + 0)*-6)**2 + 5)*4.\nAnswer: -43200*sqrt(17) + 495720036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sda when three letters picked without replacement from fdsafd?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11880?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 96?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -169\/7224 and -73\/15.\nAnswer: 36120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 3:40 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.85 times -0.093?\nAnswer: -0.26505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 291.6 - 291. Let b = -83.1 + c. What is b rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13.32 + 13. Let b = -0.12 - g. Suppose 2*i - i - 3*w + 8 = 0, -4*w = -4. Put b, 2, i in ascending order.\nAnswer: i, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**2 + 4*g - 3. Let w(d) = -2*d**2 - 3*d + 2. Suppose 4*h + 3*t - 7*t = 12, 2*t = -2*h - 14. Give h*j(m) - 3*w(m).\nAnswer: 2*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 928618 to the nearest integer?\nAnswer: 964","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2*-1)\/((18\/346635)\/(6\/(-30)))?\nAnswer: 7703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8.94196 + 0.02304. Round u to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - i**3 + 4*i**3 + i**3 - 3*i**3 + (3*i - 4*i + 3*i)*(2*i**2 + 3 - 3) + 32922 + 111*i**3 - 32922.\nAnswer: 116*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-12601.\nAnswer: -25202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*d + 3*d**3 - 17\/7*d**4 + 5\/7*d**5 + 0 - 11\/7*d**2.\nAnswer: d*(d - 1)**3*(5*d - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - b + 67 = 3*w, -5*b + 136 = 4*w. Solve 0*f - 4 = -f - 3*o, 4*f - 3*o + w = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -432 divided by 48.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -504 - -63?\nAnswer: -451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 6*p. Let t = -75 - -80. Suppose -v + 2 = 3*r + 3, 5*v + t = -3*r. What is i(v)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 580643 divided by -6.\nAnswer: -580643\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -401.9604 - 0.0396. Let m = -401.99821 - h. Round m to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -351*g - 346*g + 3*g**2 - 347*g + 1044*g.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*l - 71 + 16*l + 19*l - 21*l + 11*l in the form p + s*l and give p.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 2. Let q = 2 + c. Suppose 34 = q*a - 6. Is 20 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3016 and 143.\nAnswer: 33176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (99\/18 + -4)\/((-6)\/(-20)). Solve 4*n = -4*f + 14 - 34, -2*f = -n - a for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1315 + -405. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 243519852 to the nearest integer?\nAnswer: 15605","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 + -24. Let d = 3\/25 - -16\/75. Let k = -781 - -780.7. Which is the closest to d? (a) -1 (b) k (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6263*f - 6266*f - 6311*f - 6265*f - 6257*f + 31364*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*o**2 - 3*o**2 + 5*o**2 + (5 - 5 - 1)*(4*o**2 + 0*o**2 - 2*o**2))*(-204*o - 38 + 24 + 201*o) as w*o**3 + k*o**2 + c + z*o and give k.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.18705 millennia in decades?\nAnswer: 5218.705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(5200) + (sqrt(208) + 3*sqrt(208))\/sqrt(4))\/(((sqrt(96)\/sqrt(2))\/sqrt(3))\/sqrt(4)*4).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 4*h + 242, 3*v - v - 214 = 3*h. Is 11 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of 83*n + 3\/2*n**2 - 1\/2*n**4 + 0 - 3*n**3. What is the second derivative of o(f) wrt f?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*x - 33*x + 9324 = 0. Let b(w) = -2072*w + x*w - 9 + 1045*w. Let l(t) = 2*t. Give l(b(g)).\nAnswer: 18*g - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3410*d**3*p**3 + 61*d**2*p**3 - 8*d**2 + d*p**3 + 9*d*p**2 + 82*d + 2*p**3 - 2345 wrt d?\nAnswer: 20460*d*p**3 + 122*p**3 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of m**5\/20 - 5*m**4\/8 + 38*m**2 - 2*m. Find c, given that n(c) = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**3 - 5692*v**2 + 28544*v - 22848.\nAnswer: -4*(v - 4)*(v - 1)*(v + 1428)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = g + 35, 41*g + 17827 = 42*g - 477*u - 74 - 228 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*k = 2 + 508. Suppose 4*s = 16, -s + 20 = 4*j - 24. Calculate the smallest common multiple of k and j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (2 + -1))*(-2)\/4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 7.9 (b) -7\/3 (c) -4 (d) 5 (e) 7 (f) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 2*s + 25, 4*o - 14 = -2*s. Let c = -301 + 53. Calculate the least common multiple of o and (-2)\/(-8) - c\/32.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 4:59 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r**(-4))*r)\/r*r**(3\/7)\/r*r\/(r**(7\/5)*r)*r**(-25) assuming r is positive.\nAnswer: r**(-804\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 2*p = -56. Suppose 50*f - 48*f - 5*b = 143, 5*b - 109 = -f. What is the least common multiple of p and f?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1190565 a multiple of 325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q + 4 - 3*q**2 + q**2 - 6*q. Let x(a) = 3*a**2 + 5*a - 5. Suppose 2*l - 1 = 3*r - 5, 4*l - 8 = 2*r. What is r*x(n) + 5*m(n)?\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*8\/96*-4*5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -4\/7, 0.0914.\nAnswer: -4\/7, -2\/5, 0.0914","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.7 + -1.3. Let x = q - -5.04. Let t = x - 0.05. Which is bigger: 0.1 or t?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 166957\/1650 - 97\/275. Let m = t + -5933\/60. Let k = -937\/18 + 644\/9. Find the common denominator of m and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/2 - 5*o**2 - 23*o\/2 - 7.\nAnswer: -(o + 1)*(o + 2)*(o + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/268*((-10)\/1 - (-9452)\/834).\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -27.9 times 0.054\nAnswer: -1.5066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.4 + -4. Let q = -0.04 - 4.96. What is the closest to -0.1 in b, 0.3, q?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + 12*g**2 + 50*g + 41. Calculate r(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 20*a + 230 - 55 = 0, 0 = 106*f - 105*f + 5*a - 39 for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1 and 297.27.\nAnswer: 297.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1011 = -3*l - 2*x - 0*x, 4*x + 993 = 3*l. Suppose -9*j + l = -79. Is 4 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3*u**3 - 102*u**2 - 396*u - 13456. Calculate b(-34).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 117.3 + -107. Round d to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -80 + -13315?\nAnswer: -13395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - 33*g**2 + 41*g - 283. Let c be f(32). Let q be 1*(8\/2 + 0). Solve c*p - q*m - 24 = p, 4*m + 16 = 2*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 85, 164, 265, 400, 581, 820, 1129?\n\"Answer: 2*d**3 - d**2 + 68*d + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 2*f + 13 = -5, -9*f = -11*f + 3*f - 13 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17*48\/1088*104\/6*1.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -t - 7, -2*k + 22*t + 16 = 19*t for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of -o**6\/120 + o**5\/15 + 5*o**4\/24 + o**3\/6 - 6*o**2. Calculate d(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1188797781+-77\nAnswer: -1188797858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38.9 + -39. Suppose r - 18 = -203. Let d be (r\/(-25) - 7)\/(12\/10). Which is the nearest to v? (a) 2 (b) d (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 5*j = 36. Let t = j + -34. What is the smallest common multiple of t and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 131138 and 131138?\nAnswer: 131138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 237450*x**2*y**2 - 4*x**2 + 1922*x*y + y wrt y?\nAnswer: 474900*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 2488265587 and 0.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.9? (a) -5 (b) 3\/2 (c) 996 (d) -6\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = -18*a - 19 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 20 = -3*o, 2*o = 4*o - 2*h + 16. Let l = 1568 + -1569. What is the closest to 2\/7 in o, -11, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -35*h**3 - h**2. Let j(m) = 77*m + 464. Let u be j(-6). Let z(v) = 7*v**3. Give u*c(k) + 11*z(k).\nAnswer: 7*k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -5 - 7. Suppose -7*p = -z*p. Solve p = d - 3*d + 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/19, -0.3, 2\/5, 2, -2\/1013, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 + b + 22. Let d be u(5). Suppose -v = -4*n - 100, -2*n - 29 = d*v - 189. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 201449354 to the nearest integer?\nAnswer: 586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26765262?\nAnswer: 2, 3, 19, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eleven quarters of a minute?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 15 - 1 = 0. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -31, -2\/5, -4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4914 (base 10) in base 5?\nAnswer: 124124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of -13*n**2\/2 - 10*n + 20. Is h(-7) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8140.19496 to 0 dps.\nAnswer: -8140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 405037?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 180060260 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163*z + 3570 = -194*z for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 138, 5, 6 in increasing order.\nAnswer: 5, 6, 138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1636 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1876 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, n: 1, j: 5, k: 1, a: 9}. What is prob of picking 1 n and 1 j?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hflh when four letters picked without replacement from lhhlhtlhflhtfthhlhh?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(13) + -4)**2 - (sqrt(52))**2*-1)*6.\nAnswer: -24*sqrt(13) + 414","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-4))\/(7\/((-210)\/(-5)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*k**5\/11 - 64*k**4\/11 + 386*k**3\/11 + 224*k**2\/11 - 376*k\/11 - 160\/11 = 0. Calculate k.\nAnswer: -10, -1, -2\/5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -907 - -905. Sort p, 23\/5, -1\/7 in descending order.\nAnswer: 23\/5, -1\/7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -8e9e2?\nAnswer: 8e9e7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 6270, 6511, 6752, 6993?\n\"Answer: 241*g + 6029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1\/5, 12, -2 in increasing order.\nAnswer: -2, 1\/5, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s - 12. Let c(q) = 5*q + 48. What is 2*c(n) + 9*i(n)?\nAnswer: n - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1895 (base 10) to base 3\nAnswer: 2121012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/1416 and 31\/49164464.\nAnswer: 147493392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1525466639 to the nearest integer?\nAnswer: 1151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 145*l**3 - 2*l**2 + 1. Let g be t(1). What is the greatest common divisor of 12 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -702*i - 711*i - 63 + 1416*i - 221 to v*i + n and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 28\/8 + -2 + 130\/(-84). Which is greater: h or -0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -28, 2, 44, 92, 140, 182?\n\"Answer: -f**3 + 12*f**2 + f - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/104 and 9\/65.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9.668 - -10. Let u = r + -0.032. Which is the closest to -2\/7? (a) u (b) 1 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4 = -3*l. Suppose -3*v - l = 8. Let p = 202\/3 - 68. Which is the closest to -1? (a) 0 (b) p (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9483028mg to tonnes.\nAnswer: 0.0000000009483028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1311340\/733 + 1789. Let g = 49135\/5864 + m. What is the common denominator of g and -97\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -21*w**2 + 10*w - 11. Let x(f) = 47*f**2 - 19*f + 21. Let d(l) = -9*n(l) - 4*x(l). Give d(9).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4102937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 331087 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -164 (base 10) in base 11?\nAnswer: -13a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1)\/(-4))\/((-1110)\/(-888)))\/(2\/(-100)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -11.18 (c) 0.4 (d) 3 (e) -0.2 (f) 5\/28\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1659*c - 1291*c + 6830*c - 1295*c - 1290*c - 1297*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 2*q + 6. What is the smallest value in -1, 2\/7, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-2))**(1\/7) assuming o is positive.\nAnswer: o**(3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 - a. Let k(x) = -10*x**2 - 9*x - 2. Determine -2*k(m) + 18*t(m).\nAnswer: 2*m**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/(-52))\/(19\/(-247))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2473 (base 9) in base 8?\nAnswer: 3470","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*n = -42 + 117 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1304 - -1400?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/10 and -71\/501.\nAnswer: 5010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4796990 times -0.5?\nAnswer: -2398495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1053 + 53 = -8*w. Let d = -117 + w. What is the units digit of d\/36 + (-25)\/(-9) + 37?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 13 + (-9)\/(-225)*-25. Let f = -2 + 2. Which is smaller: q or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 53?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 350 = 13*m + 388, -5*m = -5*d - 10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -2*y + 3*t, -5 = 3*y + t + 7 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 30*u**3 + 23*u. Let h = 188 - 194. Let q(t) be the second derivative of -t**5\/2 - 4*t**3\/3 - 4*t - 20. Calculate h*w(d) - 17*q(d).\nAnswer: -10*d**3 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, z: 1, u: 2, i: 2, m: 1, t: 8}. Give prob of picking 2 t and 1 m.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, b: 3, j: 3, y: 1, z: 1, g: 6}. What is prob of picking 1 j, 1 y, and 2 b?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 PM and 11:21 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1137270664 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -71.4 or -5\/7?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 16. Let w = -15 + j. Suppose b - 3*b - 5*o + 33 = 0, -5*b - 3*o + 35 = 0. Solve -w = 3*g - 2*r + 5, 0 = -2*g + b*r - 18 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/9863888 and -1\/16?\nAnswer: 9863888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -60707426*c - 78014296 wrt c.\nAnswer: -60707426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) -3\/7 (c) 229 (d) -1\/14 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g = 19*g - 14. Suppose y - 20 = g. What are the prime factors of y?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + -3)*(-14)\/(-147). Sort 2, p, 3 in descending order.\nAnswer: 3, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140717 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2463*v**3 - 1178*v**3 - 1283*v**3 - 756 - v**2 to z*v**2 + i*v**3 + a + m*v and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3317, 3473, 3837, 4511, 5597, 7197, 9413?\nAnswer: 12347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000119779743 to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-14)\/6 - (-1 - 1). Let f be (3 - 1)*(0 - 2). Which is the closest to n? (a) f (b) 0 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.3226 - -1.322588143. Round x to 6 dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 227012*y + 1 - 1090*y**2 + 227012*y)*(-3*y**2 + 2*y**2 + 0*y**2).\nAnswer: 1090*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 531535*q**4 + 3*q**2 + 2*q - 2658.\nAnswer: 12756840*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2. Let q(c) = -38*c**2 + 56*c**2 + 28*c - 15*c**2. Give q(h(o)).\nAnswer: 3*o**4 + 28*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + 1. What is the third derivative of -5*p**2 + 2*p**6 - w*p**2 + 7*p**2 wrt p?\nAnswer: 240*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -26813 equal to -26815?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-3))\/2*40\/180*72.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 16*i**4 + 694428*i**3 + 7463012*i**2 - 10413840*i = 0. What is i?\nAnswer: -43391, -12, 0, 5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -7*g + 4. Let s(n) = 6*n**2 + 115*n + 17. Let u be s(-19). Let q(c) = 8*c - 5. Determine u*q(f) - 3*y(f).\nAnswer: 5*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6 - 1 + (-1 - 1 - 3)*(4 - 1 - 1) + 2 - 4 - 2)*(0*c + 4*c - 2*c + 3*c - 5*c + 3*c + 3 - 3 + 2*c + (-3*c - 2*c + 3*c)*(0 - 2 + 1) + 4*c - 2*c - 3*c).\nAnswer: -60*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1772 bigger than 1772?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 31142892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 59 - 59. Solve -4 + h = f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 3 + (9 - (-2 - -11)) + 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1572 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j**3 - 5*j**2 - 2*j - 4. Let t(p) = -3*p**3 - 6*p**2 - 2*p - 4. Let u(c) = 3*t(c) - 4*y(c). Let r be u(3). Is 3 a factor of -1*((1 - r) + -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - 8*c**2 - 4*c - 1. Let i be (-290)\/(-2465) - (-276)\/(-34). Give r(i).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20325 (base 7) in base 2?\nAnswer: 1001101101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (1 + -2 - -4) - 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -118*s - 166. Let b be l(21). Let c = -821 - b. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 0 + 15 = 0. Suppose 0*b + q*b = -4*x + 16, -4*b = 0. Suppose -4*j - 2*l + 18 = 0, 0 = -2*j - 2*l + 10 + x. Solve -j*i = -4*i - 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-2667\nAnswer: 1333.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 210268810 to the power of 1\/2, to the nearest integer?\nAnswer: 14501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 15\/10*228\/(-9). Let v be j\/14 + (-7)\/((-28)\/12). Put 0.12, v, 1\/7 in decreasing order.\nAnswer: v, 1\/7, 0.12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -615066, -615077, -615102, -615147, -615218, -615321, -615462?\n\"Answer: -p**3 - p**2 - p - 615063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-7)*(-1148)\/1107. What is the nearest to 1\/5 in 3\/8, t, -2\/7?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-nine halves of a day in hours?\nAnswer: 948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1\/6)*(m*m**(3\/4)*m*m)\/m*(m\/(m*m\/((m**(2\/17)\/m)\/m)))\/m*m**(-2\/9)*((m\/m**(-1\/22))\/(m**(-6)\/m))**(-6\/11) assuming m is positive.\nAnswer: m**(-437623\/74052)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 63\/(54\/6) + 18. Suppose -r*n = 7*n - 96. Which is bigger: n or 31\/11?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -351 * 0.398.\nAnswer: -139.698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.89850398 rounded to 2 dps?\nAnswer: 37.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*j**3 + 39*j**5 + 233*j**2 + 53*j + 438 - 193*j**5 - 235*j**2 - 47*j wrt j.\nAnswer: -9240*j**2 - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/5384 and 99\/4?\nAnswer: 5384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -q - 282, t = 4*t + 3*q - 180. Suppose h - 85 = l - 4*l, -8 = 4*h. Let a = t - l. List the prime factors of a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 4*i - 20, 0 = 5*i - 3*f - 22 - 20. Suppose i*y + 4*y + 40 = 0. Let r = 25 + y. Does 7 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41 - 41. Suppose -s - 2 = -2*h - l, 3*h = -4*s + 14. Solve -4*q - h = 2*k, 2 = -2*k + 6*q - 2*q for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -438866 = -79*i + 173170 + 522483. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 - 26. Suppose 0*k = 3*k - 9. Calculate the remainder when ((-3)\/g)\/(4\/72) is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oiy when three letters picked without replacement from qikyqohoqyyyqko?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1490, 935, 76, -1033, -2338, -3785?\nAnswer: -5320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 32. Let b = q - -16. Let c = b + 6.5. What is the smallest value in -6\/7, 2\/7, c?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - 7*v**2 + 4*v + 1. Let o be u(-8). Let c = -31 + o. Let a(x) = x - 2. Let d be a(2). Is c <= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 + 43 = 5*w. Suppose 3*h = t - h - w, -3*h = 5*t + 20. Let z be (-2)\/(-8) - (-34)\/(-8). Which is the biggest value? (a) z (b) t (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of -u**4\/4 - 16*u**3\/3 - 3*u**2 + 8*u - 41. Let g = -40 - -24. What are the prime factors of q(g)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.3 - -3. Let r = -1.3 - d. Let n = 0.29 + 2.71. Put r, n, 1 in descending order.\nAnswer: n, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96 (base 10) to base 11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2071 + 2087. Solve 0 = -25*z + 21*z - m for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f**2 - 33*f + 36*f + 12*f**2 + 2*f**3 - 3*f**2 to t + z*f**2 + m*f + a*f**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42, -107, -266, -441, -638?\nAnswer: -863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 3*u = 1434 - 1433 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.058 to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l + 4*l**2 + 6*l + 4*l**3 + 31 + 3*l**3 - 12*l**3 + 7*l**3 to n*l**2 + x + u*l**3 + b*l and give x.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of 1\/3*f**3 + 24*f + 0 - f**2. Let d be h(6). Which is smaller: 13 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 7*a + 4 - 4)*(20 - 33 - 23)*(-2 + 2 - 3) + 2 - 3*a - 2.\nAnswer: -759*a + 216","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -6*i + 23*i**2 - 42*i**2 + 15*i**2 + 1. Let n(k) = k**2 + k. Give 6*n(p) + r(p).\nAnswer: 2*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of 0*g - 1\/6*g**4 + 1\/20*g**5 + 0 + 2*g**2 + 0*g**3. What is the second derivative of p(b) wrt b?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 32*w**3 - 2*w**2 - 2*w - 2. Let r(b) = 255*b**3 - 17*b**2 - 17*b - 17. What is -17*n(p) + 2*r(p)?\nAnswer: -34*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -45.1 + 45. Is -1\/94 <= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -1 - ((38 - ((17 - 5) + -18)) + 6).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -292.6 - -242. Let n = g - -61.7. Which is the second biggest value? (a) -4 (b) n (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -21\/5? (a) 0 (b) 7\/2 (c) 1 (d) -84860 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/210*(-10)\/(-52)*-39\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 0*b + 4*b)*(-b + 4*b - 5*b) - 5*b**2 - 4*b**2 + b**2 + 6*b - 6*b + 9*b**2.\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 26\/7 - (-4)\/14. Suppose f - 5 = -i*f. Suppose -6*t = 10 - 58. What is the smallest common multiple of t and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2. Let l(s) = 14*s + 179. Calculate l(c(v)).\nAnswer: 14*v**2 + 179","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -397*f + 20624. What is m(52)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7556956g to tonnes.\nAnswer: 0.0000007556956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 5*s**2. Let o be w(1). Suppose -10 = o*g - 55. Calculate the least common multiple of 7 and g.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/57 in 27, 174.8, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85 + 4733 = 1759*g - 1944*g - 1087 for g.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.7045728 centuries?\nAnswer: 845.48736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 134319863 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1718275661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of 3*j + 0 + 2\/3*j**3 - 1\/2*j**4 + 0*j**2. What is the second derivative of s(n) wrt n?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 2*i + 10, 4*i - 4 = -0*i - 4*k. Let t(w) = -w. Calculate t(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -0.087452 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 26360008778 + 11.\nAnswer: 26360008789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 AM and 1:57 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8*1 + 26 + 1288\/(-36). Let f(y) = -y - 1. Let g be f(0). Which is bigger: g or m?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -295*g**4 - g**3 + 205*g?\nAnswer: -3540*g**2 - 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -13*z + 7*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 210*m - 1. Is r(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (4*(-3*sqrt(78)*-1)\/(-2*sqrt(726)))**2.\nAnswer: 226\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -1. Let z = -0.035 + -2.965. Which is the second biggest value? (a) m (b) -7 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and -912557.\nAnswer: -912554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - s = -3*q + 50, 3*s = -2*q + 8. Let g(p) = p**2 + 10. What is the remainder when g(-7) is divided by q\/3*(19 - 13)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a year in months?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -445 - 68 = -3*i. Suppose 5*x - 2*j + 3 = 2*j, 0 = -5*x + j + 3. Let z be (x*(36 + 2))\/2. Calculate the highest common divisor of z and i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 57.895 to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -1\/6 (b) 0 (c) 147\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of -w**6\/300 + 7*w**5\/50 + 3*w**4\/4 + 23*w**3\/15 - 3*w**2 - 136. Let r(u) = 0. Calculate u.\nAnswer: -1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3*a. Let p(o) = 20*o + 18. What is -8*n(t) + p(t)?\nAnswer: -4*t + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -398*z - 1383 = -244*z - 228*z - 4491 for z.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -49 + 34. Let v = 19 - x. Let i = v - 34. Which is the nearest to i? (a) -7 (b) 4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(648) + 3 - (-3 + sqrt(180)\/sqrt(10)))*-4)**2.\nAnswer: 2880*sqrt(2) + 7776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h - 14*u + 241, 3*h - 38*u = -41*u + 72 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -147568 + 63145.\nAnswer: -84423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48015 + 95965 + 21*o**2 - 48026 + 21*o**2 - 53*o**2.\nAnswer: -11*o**2 - 76","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5, 28, 79, 148, 235?\n\"Answer: 9*m**2 + 6*m - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3687 divided by 90357?\nAnswer: -1229\/30119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + 14 + (-8 - -6) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 502 = -5*o + 2*s, -3*s = o - 89. Let d = o + -87. Calculate the remainder when 19 is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 + 6*p - 6. Let u be g(4). Suppose q - u*q = 1. Sort q, -4, 2 in descending order.\nAnswer: 2, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-192)\/(-9600)*(-16)\/(-6))\/((-2)\/(-1))?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6*(-12)\/99*-11\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14.3 - -14. Let l = 5 - 2. Let d be 47\/(-52) - l\/(-4). Which is the closest to n? (a) 1\/11 (b) d (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 240 and 4?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 2*w + 3*w + 15, 4*w - 8 = -5*a. Suppose 0 = -a*p + 2*p + 44. Does 11 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 274224831 or 274224835?\nAnswer: 274224835","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -91308 rounded to the nearest one thousand?\nAnswer: -91000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -252 - -292. Calculate the remainder when 119 is divided by i.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 6, b: 2, n: 1, s: 9}. What is prob of picking 2 z, 1 n, and 1 b?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of -2*f**5\/15 + 6*f**2 - 1. Let r(v) = -7*v. What is z(r(p))?\nAnswer: -392*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -4*g**3 + 2*g**2 - 11*g - 46. Let h be k(-5). Calculate the highest common divisor of h and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 5*q + x - 4, -5*q - 7 = -4*x. Let c(j) = j**3 - 2*j**2 + j + 3. Let k be c(-1). Let w be (-1*(0 + 2))\/k. Solve 0 = -w*t - q - 3 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 12*l - 245. Let y be s(20). Which is the fourth biggest value? (a) 2 (b) 2\/11 (c) y (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fk when two letters picked without replacement from {k: 1, o: 1, z: 1, b: 2, q: 1, f: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17111.043 - 17119. Round g to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b*n**2*s - 39*b*n**2 + 9*b*n*s - 2*b*s + 222*b - 282*n**5 wrt n?\nAnswer: -2*b*s - 78*b - 5640*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5c6b3 (base 15) in base 10?\nAnswer: 295143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 8, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 920532*g = 920496*g - 1800 for g.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/(-12) + 7\/(-3). List the prime factors of (-8)\/a + (-6)\/9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 187, -86, -2\/9, 136, -4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 - 16.8. Let z(m) = m**2 + 315*m - 9972. Let f be z(29). Which is the third biggest value? (a) k (b) 4\/9 (c) f (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -73 - -84. Suppose w*c + 20 = 15*c. Let i(h) be the second derivative of -h**5\/20 + h**4\/3 + h**3 + 3*h**2\/2 - 6*h. Calculate i(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 509487290?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrprrprrlrlrrrp. Give prob of picking 2 l, 1 p, and 1 r.\nAnswer: 13\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171 = 34*r + 81 - 46 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b\/(b*b**11))\/b))**14\/(b*b*b\/(b*b\/(b**(4\/19)\/b)*b)*b\/b**(-2\/49)) assuming b is positive.\nAnswer: b**(169208\/931)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -5*b**5 - 619*b**4 + 24823*b**3 - 46797*b**2 - 170514*b - 98280 = 0.\nAnswer: -156, -1, 21\/5, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 4*g - 20 = 0, -3*g + 3 = 18 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) + 1 - (3 + sqrt(171) + sqrt(19)))**2.\nAnswer: -8*sqrt(19) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1435 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -25*h**4*j**2 + 63921*h*j**3 + 6559160*j**3 wrt h.\nAnswer: -100*h**3*j**2 + 63921*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -67, -52, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 8*v**3 - 3. Let c(o) = 9*o**3 - 4. Determine -3*c(d) + 4*n(d).\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 + 11*d**2 + 15*d + 6. Give i(-9).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 71245*m**2 + 7*m + 53. Is t(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -73178 take away 9?\nAnswer: -73187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*o**2 - 13137*o - 3*o**3 - 1671*o + 2*o**3 - 15*o**2.\nAnswer: -o**3 - 14808*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 417348242.\nAnswer: 2, 251, 831371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -4. Let n = -2 - q. Let h = n + 3.99997. Round h to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - r = -2, 4*p - 5 + 12 = -r for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 + 3*r + 3. Let k = 202 + -199. Suppose 0 = -4*j - k*c + 21, -3*j = -2*c + 6*c - 14. Let y(g) = 3*g**2 - 11*g - 11. What is j*y(f) + 22*o(f)?\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 699?\nAnswer: 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22.39 + 22.4. Suppose 1 - 3 = -y. What is the fourth smallest value in g, 1, 2\/5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (-670)\/(-50) + (-34)\/60?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 303*y + 1000*y - 27363 for y.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m - 3*m + 2*m - 2*m. Let a(x) = 6*x. Determine a(n(g)).\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8397 is divided by 8377.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -51691\/42 + 1234. Calculate the common denominator of 85\/108 and c.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 342 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-1)*((-68)\/(-24))\/(-17)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 1 = 19. Let w = -562 + 564. Solve -o - 3*u + w - h = 0, -o = -3*u + 8 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 26982, 49423, 71864, 94305, 116746, 139187?\n\"Answer: 22441*t + 4541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46 + -34. Let i(c) = 106*c + 89. Is i(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 291380.\nAnswer: 2, 5, 17, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.17? (a) 2\/3 (b) 0.3 (c) -1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7389 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3736 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -4*q + 36, -48 = -2*q + 2*x + 3*x. Let z(n) = 14*n**2 + 10*n**2 + q*n**2 - 35*n**2. Let r(m) = -24*m. Determine r(z(h)).\nAnswer: -72*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6689 is divided by 711?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 11:28 AM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 9. What is the common denominator of 27\/22 and (-2)\/y*(-207)\/(-96)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51711.23m to millimeters.\nAnswer: 51711230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5180*w**2 + 5*w + w - 6*w + 5195*w**2.\nAnswer: 15*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + r + 2*r**2)*(-3*r**2 + 2*r - 2*r)*(-1 + 2 + 0) + (-1349 - 231*r + 1349)*(2*r**3 + 0*r**3 - 5*r**3).\nAnswer: 687*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52*-0.06.\nAnswer: 3.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2)\/(-15) + 549\/540 and -1\/14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - 0. Let f be (-3 - (-232)\/80)*65\/26. Which is the closest to -2? (a) s (b) f (c) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -795, -706, -617?\nAnswer: -528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 21*h**2 - 254*h + 1849. Let g be t(7). Calculate the highest common divisor of 88 and g.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of -3*c**4\/4 + 6*c**3 - 18*c**2 + 24*c + 7. Solve q(h) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 5:18 AM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 188864 and 63232.\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50580186?\nAnswer: 2, 3, 8430031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) -0.3 (c) 58 (d) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 3620*w + 943. What is the tens digit of g(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -1, -3, -5, 0, 2 in decreasing order.\nAnswer: 10, 2, 0, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/81121 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -8*u**3 - 3*u - 24. Let n(i) = -24*i**3 - 9*i - 73. Let t(l) = 8*d(l) - 3*n(l). Differentiate t(r) with respect to r.\nAnswer: 24*r**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -201022121321 (base 4) to base 3.\nAnswer: -121100200001122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 3*h**2 + h - 141. Let m be g(-13). Let z = m - 310. Do z and 42 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.9 + -1.5. Let o = 7.4 - 7. Let q = h - o. What is the closest to q in 0, 5, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -2 - 3. Suppose 2*b + 0*b + 4*v = -10, 4*v + 24 = -4*b. Let g = b - -7. Sort x, g, 5.\nAnswer: x, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -36889*f - 36864. What is d(-1)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30.00049 + 30. What is j rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147596202.\nAnswer: 2, 3, 13, 53, 3967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 469145?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.15*457.9.\nAnswer: 68.685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.72 - -0.28. What is the nearest to m in -4, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30*q**5*r + q**3*r + 9*q**2 + 7*q*r - r wrt q.\nAnswer: -1800*q**2*r + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 6*k**2 - 9*k + 6. Let x be o(4). Solve -12 = 3*g, 2*i - 4*g = -x*g + 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 737 divide 102844665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 6*c = -32. Let g be ((-10)\/2 - c)*-4. Suppose g*u - 26 = 22. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2488.370086 to the nearest one hundred.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r**2 - 15*r + 13. Give f(-11).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5.930071 decades?\nAnswer: 711.60852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 5*c - 33 = 0. Let w = c + 138. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -1040*x**2. Let j(p) = 16*p. What is j(b(n))?\nAnswer: -16640*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -48.21186 or -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11036 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -19*t**2 + 3*t + 14. Let i(d) = -20*d**2 + 4*d + 13. Give -3*i(p) + 4*r(p).\nAnswer: -16*p**2 + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -5*o. Let g be b(-1). Solve 2 + 1 = -4*c - 5*y, 12 = -g*c + 2*y for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1080 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 5. Suppose 3*p + 5*h - 22 = y, -4*h = -10 + 2. Suppose 2*k = -p*m + m + 67, -63 = -3*k + 3*m. Does 13 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6\/11 + 2\/11*x**2 + 8\/11*x.\nAnswer: 2*(x + 1)*(x + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of -131*g + 0 + 0*g**2 + 1\/3*g**3. Let l(r) = -39*r + 2. What is b(l(v))?\nAnswer: -78*v + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-20)\/(-6) + (-3)\/9. Let v = g + 1. Suppose 2*r - 18 = -v. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2\/3*(22 - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -4*o + 4*a + 13, 0 = -5*o + 3*a + 14 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.364 + -0.119. Let p = 3.22 - q. Which is bigger: p or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (-27)\/15*(-20)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**3 - 2*u**3 - u**3 + (1 - 1 + u**2)*(269*u + 110*u - 221*u).\nAnswer: 156*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 1109*z - 9. Let q(b) = -279*b + 2. What is 4*j(i) + 18*q(i)?\nAnswer: -586*i","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2346535 is divided by 130362.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v + 1. Let y(n) = -14*n + 5. Suppose 0*s = 2*s - 8. Suppose -5 = s*h - 3*h. Let c(x) = h*b(x) + y(x). Let w(a) = a. What is w(c(p))?\nAnswer: -19*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - (35 + 24 - -23)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16.5 - 17. Let z = 3 + 0. Which is the closest to 0? (a) u (b) -2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 271337 and 297?\nAnswer: 7326099","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 25 (b) -0.36 (c) -9 (d) -2\/3 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4*t = -0 - 31, -18 = -2*l + 2*t. Suppose -l*k + 0*k - 50 = 0. Let j be -3 + ((-34)\/k - (-6)\/(-15)). Solve h + 3 = j, 8 = 2*f - h - 1 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -8471, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, 124, 2946 in decreasing order.\nAnswer: 2946, 124, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/1821932 and 5\/6112288.\nAnswer: 189480928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 2*m + 85 = -0*m, -5*a - 4*m + 75 = 0. Let v(g) = 19 - 2*g**2 - a. Let l(w) = -2*w**2. Calculate l(v(o)).\nAnswer: -8*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 5*l + 7 - l - 3*l. Let h(a) be the second derivative of -a**3\/3 - 11*a**2\/2 + 79*a. Calculate -5*h(o) - 8*t(o).\nAnswer: 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 1)*((-3*f**3 + f**3 + f**3)*(-2 + 3 + 0) + 0*f**2 - 2*f**3 + 0*f**2 + f**3 + 4*f - 4*f - 4*f**3 - 5*f**3 + 3*f**3).\nAnswer: 16*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.109 and 340.\nAnswer: 339.891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -5*y**2 - 38*y - 12. Give s(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_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: -148364340 divided by -9147\nAnswer: 16220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 6*v + 0*v)*(4 + 9 - 3 - 3).\nAnswer: 35*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 + k - 36. Suppose -3*a = 2*o + o - 36, 2*a = -o + 11. List the prime factors of c(o).\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 6:33 PM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1084, 711, -404, -2633, -6348, -11921, -19724, -30129?\n\"Answer: -62*a**3 + a**2 + 58*a + 1087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**2 + 60*o + 192. Let i(k) = 2*k + 14. Determine -13*i(f) + p(f).\nAnswer: 2*f**2 + 34*f + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -17, -34, -59, -92, -133?\nAnswer: -182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1372 and 1323.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4413 a factor of 675503155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -443921.\nAnswer: 44392.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 41 - 78 + 37 + 272*x + 0*x - x + 7*x + (0*x + x - 4*x)*(3 + 5 - 5).\nAnswer: 269*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of 0*f**4 + f**2 - 1\/15*f**5 + 0 + 0*f**3 - 3*f. Let q(s) be the first derivative of k(s). Let r(g) = 2*g**2. Give q(r(t)).\nAnswer: -16*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*n + 54*n = -3*l - 1560, 0 = -5*n. Let i = -520 - l. Factor 0 + 3\/7*g**2 + i*g - 3\/7*g**5 - 3\/7*g**4 + 3\/7*g**3.\nAnswer: -3*g**2*(g - 1)*(g + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -9409*j - 150541. What is y(-16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 235069, 234996, 234885, 234736, 234549, 234324?\n\"Answer: -19*s**2 - 16*s + 235104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + 22*g**2 - 20*g - 17. Let s be t(21). Suppose -2*o - 2*h + 2 = 0, 5*o = -h - 3 + 12. Solve -b + s = -o*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/35? (a) -0.4 (b) 7 (c) -0.0388\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20823*u - 20763*u = 1860 for u.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from vvvdvvvvdv.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1647*h - 5*h**2 + 6*h**2 + 246*h**4 - 140*h**4 + 64*h**4 + 12*h**6 wrt h?\nAnswer: 1440*h**3 + 4080*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 11509, 11735, 11957, 12175, 12389, 12599, 12805?\n\"Answer: -2*g**2 + 232*g + 11279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -683 - 1057 + 60 + 589*x**2 - 2*x wrt x.\nAnswer: 1178*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - -4)\/(-2) - -18. Suppose -i - 14 = 5*g. Let o(m) = -m**2 - 9*m - 6. Is 5 a factor of o(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -6195095 and -12390191\/2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 + 5*b - 2. Let z be c(4). Suppose 0 = -7*r + z*r + 10. What are the prime factors of (1\/r)\/((-2)\/(-52))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16\/24*(1487 + 1). Suppose -38*u + 22*u = -r. Is 61 != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10421.76942 - -7.83942. Let g = n + 10419.42897. Let d = -5.5 + g. What is d rounded to 4 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -52\/387 - -1\/43. Suppose -t - 2 - 3 = 0. What is the third biggest value in t, -2\/15, g?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 b when two letters picked without replacement from {b: 3, u: 2, z: 6, n: 1, y: 6}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/2405 or 0?\nAnswer: 2\/2405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11225719 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -16, 272 = 8*i - 4*i + 3*l. Calculate the greatest common factor of i and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21553633 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79943 - 79943 + 1506414*d.\nAnswer: 1506414*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 795006 and 377.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + 2*l + 10. Let s(w) = -5*w + 20. Let f be s(4). Let v be i(f). What is the highest common factor of 4 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 338 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7566.198l to millilitres.\nAnswer: 7566198","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2150425 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 15*p + 348. What is f(-23)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b - -5b?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 415 - 211. Let k = -218 - -72. Let r = t + k. What are the prime factors of r?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-12) - 396\/(-16). Solve -v = -l - 8, -2*l - 3*l - n = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3265*w**2 - 3*w - 12. What is the tens digit of k(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 205.5153 millimeters?\nAnswer: 0.2055153","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = -28*k + 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6.7? (a) 0.4 (b) 10 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2970*q**5 + 14*q**3 + 360256*q wrt q?\nAnswer: -59400*q**3 + 84*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -171 + 240. Let x = 21951 + -21923. Calculate the remainder when h is divided by x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3829 less than or equal to -1106886\/289?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/13))**(-42) assuming g is positive.\nAnswer: g**(42\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3614, -14472, -32570, -57908, -90486, -130304, -177362?\n\"Answer: -3620*q**2 + 2*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 265957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - 9)\/(-4) + -3. Let i be 1 - (-6 - (3 - 2)). Let q be ((-3)\/(-4))\/(2\/i). Which is the nearest to t? (a) q (b) 4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7207055*r**6*x**3 - 2*r**3*x**3 - r**2*x - r*x**3 + 2077224*r wrt r?\nAnswer: 864846600*r**3*x**3 - 12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2771.308 + -0.4.\nAnswer: 2770.908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 + 1613909 + 17 + -1 + -6 + 2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1679393 is divided by 5090.\nAnswer: 4783","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -98*g**5*j**2 + g**5 + 263*g**2*j**2 wrt g.\nAnswer: -5880*g**2*j**2 + 60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1179 (b) -5.6 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 400?\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 e when two letters picked without replacement from vxenb.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0903 - -367.9097. Let m = -369.3253 + 3.1953. Let g = m + t. Round g to one dp.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -337, -1450, -3337, -5998, -9433?\nAnswer: -13642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -300066.8 and -7.5?\nAnswer: 300059.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -4 - (5 - -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 290.\nAnswer: 1\/145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 1:33 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 9475082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1526103691?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 10, 1, -5, 5 in decreasing order.\nAnswer: 10, 5, 4, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*x = 5*s - 11, -2*s - 2 = -2*x. Suppose -176 + 56 = -x*h. Calculate the highest common factor of h and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1086\/4*98\/21. Suppose 5*o = o - v + h, -o + 314 = 3*v. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 345?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 11. What is the third derivative of v*h**4 + 0*h**2 + 0*h**4 + 3*h**2 wrt h?\nAnswer: 144*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 4*d - 14 = 0, -5*d = -3*g - 3*d - 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i*i**(-4\/5))\/i*i*i)\/(i**(2\/11)\/i)*i**(1\/2)*(i*(i**(-1\/2)*i)\/i*i*i)\/i*(i**(-8)*i*i\/i**(3\/11)*i*i*i*i)**(2\/79) assuming i is positive.\nAnswer: i**(21554\/4345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -4*q**2 - 13*q - 2. Give m(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t + 2. Calculate the least common multiple of 8 and i(-4).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 AM and 9:33 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 26*i**4\/3 - 32154*i**3 - 158510*i**2 + 37150*i\/3 = 0.\nAnswer: -5, 0, 1\/13, 3715","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 7*y**2 - 2*y + 50. Let z be i(11). Suppose 0 = -3*k - p + z, 4*k - 92 - 1100 = 5*p. Let d = -22 + k. List the prime factors of d.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 3\/5, 244, -2\/27, -0.3, -0.2?\nAnswer: 244","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -484*g**3 + 835*g**3 - 522*g**3 + (0*g + 2*g - 3*g)*(2*g**2 - 3*g**2 - g**2) + 5*g**3 - 7*g + 7*g to i*g + l*g**3 + f + c*g**2 and give l.\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 24*x - 208. What is c(2)?\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69748 divided by -658.\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 45\/(-30)*(-3)\/(-9)*6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 95535484 to the nearest integer?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -12. Let g be 3 + -4 + u - -3. Suppose 2*s - g*c - 264 = -86, -193 = -2*s - c. Is s a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - r = -22, -2*j - r - r - 52 = 0. Let p = -1603 + 1632. Let a = j + p. Solve -3*h + 4*f = -11, a*h + 3 = -0*h - 4*f for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2 + (-1 - 2 + 1)*(-5 + 3 + 4) + 6 + 10 - 8)*(3*n - 1 - n - 1).\nAnswer: 12*n - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-145)\/2262)\/(5\/(-3)).\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2323462?\nAnswer: 2, 43, 27017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 766.3291 kilometers in meters?\nAnswer: 766329.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 4*w = 11*w + 274, -7*n - w + 2 = 9 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 120 and 144?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j - 2*j + 4*x + 72, 117 = 4*j + x. Let m = 14 - 4. Calculate the highest common divisor of j and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2, -4, 3\/10?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-2*((-20)\/(-35))\/4)\/(-1)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.7 + -1.7. Let j be (-34)\/(-14) + -1 + -1. Let x be 4\/78*(7 + -4). Which is the nearest to -0.2? (a) x (b) j (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m\/(m\/m**22)*(m*m*(m\/(((m*(((m**(-1\/3)\/m*m)\/m)\/m)\/m*m)\/m)\/m*m))\/m)\/m)\/(m**(-4\/5)\/m)**(3\/14) assuming m is positive.\nAnswer: m**(5821\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 y when four letters picked without replacement from shldihdlysidlddidsil.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 346 and 266082477.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 52, 0, 110, -1974, 3 in descending order.\nAnswer: 110, 52, 3, 0, -1974","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 100023 (base 4) in base 11?\nAnswer: 861","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 15*x - 1. Let d be w(1). Let l = -7 + d. Let b = 197 + -195. Calculate the remainder when l is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 divided by 19\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 355 + -335. Let a = -24 + 64. Calculate the greatest common divisor of g and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o + 3*v - v + 43 + 92 + 145 + 1 = 17, -19*v = 0 for o.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + 1 + 1 + 4 + 4. Solve 0*w = -3*h + 4*w + 5, -r = 4*w for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/3))**(-4)\/(y**(-4))**(-45))**(2\/7) assuming y is positive.\nAnswer: y**(-1072\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -153 + 157. Let h(w) be the first derivative of -2*w**2 + 5 - 1\/3*w**3 + i*w. Calculate h(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8878256 is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17.22 + 150.8.\nAnswer: 168.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 26 + (320 - (501 - 113))\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 414414773 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*u**3 + u**4 - 14*u**3 + (0*u + u - 3*u)*(9*u**3 - 18*u + 18*u) as j*u**3 + r*u**2 + c*u**4 + g*u + t and give c.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4690 - 4691. Which is smaller: 15\/694 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1371.5 + 1372. Which is the nearest to -10? (a) n (b) 2\/9 (c) -6 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 476 and 28?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 2\/9, -3, 9, 1, 2.\nAnswer: -16, -3, 2\/9, 1, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101 - -110111011000?\nAnswer: 110111011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) 17 (c) -0.0646 (d) -2\/13 (e) 0.5 (f) -33\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 1:43 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 438*r**2 + 172*r - 796. What is the tens digit of l(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.6 and 70528.8?\nAnswer: -253903.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 - -0.3. Let t(q) = 3*q**3 + 8*q**2 + 4*q - 7. Let j be t(0). Which is the fourth biggest value? (a) 0 (b) 0.2 (c) i (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1755232249 to the nearest integer?\nAnswer: 1206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*g + 2277 = 61*g + 15765. Does 6 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of f**4\/22 + 16*f**3\/33 + 36. Solve p(m) = 0 for m.\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*y - 114. Let f(o) = o**2 - 21*o + 43. Let s be f(y). Let j = 69 - s. Solve b + 2 = j*p, -5*b = 2*p - 3 + 13 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4587500904.\nAnswer: 2, 3, 7, 19, 1437187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 7*n**2 + 5*n + 6. Let x be (-8)\/(-6)*(-5 + 10 + -8). Let q(s) = -6*s**2 - 4*s - 5. Give x*p(z) - 5*q(z).\nAnswer: 2*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -466, -2173, -5596, -11209, -19486?\n\"Answer: -79*d**3 - 384*d**2 - 2*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -1567*i + 4674. Determine n(3).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (-150 - -19) - (29 + -51).\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/1 + 0 + -4. Solve 5*f - 20 + u = 5*g, 0 = 5*g - 2*f + 20 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 6*y + 0*y)*(5 - 4 - 2)*(3*y + 0*y - 2*y).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1679, -7976, -18469, -33158, -52043?\n\"Answer: -2098*u**2 - 3*u + 422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4699*u**4 + 0*u**3 - 13 - u**3 - 4701*u**4 - 2*u**4 + 0*u**4 + 3*u**4 + (0 - 3 + 5)*(-u**4 + 0 + 0) - u**4 + u**3 - u**3.\nAnswer: -4*u**4 - u**3 - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 500 is divided by 47?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 442.\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -440012 - 0?\nAnswer: -440012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 AM and 10:05 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of -73*r**3\/6 + 3*r**2\/2 - 76*r. List the prime factors of f(-1).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4484547 and 27576.\nAnswer: 3447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8655195 seconds in microseconds?\nAnswer: 865519.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2*i - s + 28 = 0, 0 = -2*i - 2*s + 20. Suppose -i = -9*v + 8*v. Calculate the common denominator of ((-86)\/20 + v)*(-70)\/(-36) and -68\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.879 + 0.121. Let n be 26\/(-8) - (-2)\/8. Let s = -0.3 - -0.7. Which is the closest to y? (a) s (b) -1\/3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(171) + -1 + 5))**2.\nAnswer: 216*sqrt(19) + 1683","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -11 - -13 - (0 - -2). Suppose w = -7*p + 4*p - 375. Let h be (p\/3)\/((-1)\/192000). What is h rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*c - 20*c = -12. Let k be 2 - -117 - (-3 - (c + 1)). Let q = k - 100. Calculate the lowest common multiple of 8 and q.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**3 + 12944*t**2 - 51824*t + 51840.\nAnswer: 4*(t - 2)**2*(t + 3240)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3114682514?\nAnswer: 2, 739, 857, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-2)*8\/10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 57897733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aooiiooiaia. Give prob of picking 2 a, 1 o, and 1 i.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 77*w + 4938. Determine d(-60).\nAnswer: 318","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40 - -80. Let t be ((-10)\/(-8))\/((-10)\/g). Put -1, t, -2 in descending order.\nAnswer: -1, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*f - 55*f + 2*f + (f + 0*f + f)*(0 + 1 - 4) to o*f + q and give o.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 10. Suppose 0*h - 8 = 4*h, 4*h = a - i. Let w = 52 + -52. What is the biggest value in a, w, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0033082519 rounded to 4 dps?\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30598.\nAnswer: 2, 15299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1007?\nAnswer: 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (84687\/(-405))\/(158\/6) - -5. Let j = -3\/790 + c. Find the common denominator of j and -85\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/42992 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2870 (base 10) to base 9.\nAnswer: 3838","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5\/2, -4, -40, -17?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 335.0975 litres to millilitres.\nAnswer: 335097.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3270 - 0?\nAnswer: 3270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_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: What are the prime factors of 70684755?\nAnswer: 3, 5, 4712317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -7, -1, 3, 0.149.\nAnswer: -7, -1, 0.149, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -655, -1528, -2401, -3274, -4147?\nAnswer: -5020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3 + 3802*t**2 + 7598*t + 3798.\nAnswer: 2*(t + 1)**2*(t + 1899)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 204398718 to the power of 1\/3, to the nearest integer?\nAnswer: 589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**3 + 0*j**3 - j**4)*(-5*j - 80 + 80) + (-2 - 1 + 2)*(-3*j**5 + j**5 + 3*j**5).\nAnswer: 4*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 4*x**3 + 41*x**2 - 36*x - 32. Let w be u(-11). Is w at least as big as 2\/4753?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*x + 1. Let g be x\/(-9)*13 - 4\/(-6). What is the second derivative of -11*q + 29*q + 17*q**g - 9*q wrt q?\nAnswer: 340*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -7*h. Let z(r) = 55471363*r. Give z(y(c)).\nAnswer: -388299541*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -4*f**2 - 3*f + 2. Suppose -16*a + 23 = 7. Give l(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3*d**2 + 581*d + 6874. Calculate f(-181).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) 0.1 (c) 2\/13 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83972452?\nAnswer: 2, 17, 1234889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 - 3*o**2 - 2*o - 12. Determine f(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5.4, -2, -4\/5, 0.03, 0.3, 0.5 in ascending order.\nAnswer: -5.4, -2, -4\/5, 0.03, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 14627.997ns?\nAnswer: 0.00000024379995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -73 - -65. Let r be f\/(-5)*(-14)\/56*-220. Let k = r + -44. Calculate the highest common factor of k and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 9874, 19909, 29944, 39979, 50014?\n\"Answer: 10035*h - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 306 a factor of 249084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1022 - 549 = 80*a - 2487 for a.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -27.38 and -0.04.\nAnswer: -27.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, w: 1, t: 1, s: 1, y: 1}. What is prob of picking 1 t, 1 y, and 1 l?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*m**2\/4 - 981*m\/2 - 393\/4 = 0. Calculate m.\nAnswer: -1\/5, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 2 = 2*g. Suppose -5*j + 24 + g = 0. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*t**4 + 5*t**4 - 6*t**4)*(-3 + 3 - 1) - 467 + 22*t**4 + 467 in the form p*t**2 + x*t**3 + f*t + v + u*t**4 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10403934?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2 - 28616*f - 1295820.\nAnswer: 4*(f - 7199)*(f + 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6948)\/(-16212)*1\/(-21).\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxx. Give prob of picking 2 x.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.119 less than 3169?\nAnswer: 3168.881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5 + -5 - -9 - (-166)\/1. Suppose 0 = 2*q + q - 696. Let h = q - o. What are the prime factors of h?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -47 + 70. What is the remainder when h is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8785364 to the power of 1\/2, to the nearest integer?\nAnswer: 2964","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = m + 3*q + 14, 0 = -3*m + 5*q + 17. Suppose 396 = -94*s + 58*s. Sort s, -8, m.\nAnswer: s, -8, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1142*v**2 - 1751*v**2 - 2 - 354*v**2 + 149*v**2 + 1 to the form o*v + c + n*v**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46421, 46422, 46423, 46424, 46425, 46426?\nAnswer: 46427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + d + 0*d)*(3 - 3*d - 3 + (5*d - 5*d + 2*d)*(3 - 5 + 3) - d + 0*d + 0*d)*(7 - d + 3 - 5).\nAnswer: -4*d**3 + 20*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of 83*o**9\/60480 + 53*o**6\/720 + 37*o**5\/30 - o**2 + 20. Let c(h) be the third derivative of u(h). Differentiate c(t) wrt t.\nAnswer: 249*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6344*a + 6308*a + 360 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + sqrt(1377)) + 1.\nAnswer: 3 + 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1007000950?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**3 - 8374*q + 16713*q - 8356*q.\nAnswer: q**3 - 17*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16520554?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.15 - 6.238. Which is the third biggest value? (a) i (b) 0.1 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(sqrt(24)\/sqrt(2)) - (sqrt(24)*-2 + sqrt(24))\/sqrt(12) - sqrt(8)\/((sqrt(40) + sqrt(280)\/sqrt(7) + sqrt(40))\/sqrt(10)))*4.\nAnswer: 20*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 31 and -0.5.\nAnswer: -15.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t\/((t*t*t**(17\/2)\/t*t)\/t)))\/(t\/t**(7\/3)))\/((t*t\/t**(-9\/7))\/t**(-18)) assuming t is positive.\nAnswer: t**(-481\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-108)\/240*(-8)\/6?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 11 - 31 = 0, 0 = -2*i + 4*s + 14. Let o(q) = q**2 + 3*q + 3. Let z be o(i). Suppose 0*g + g = z*w - 69, -5*w = -3*g - 111. Does 12 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 8.562497ug?\nAnswer: 0.008562497","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 314?\nAnswer: -942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 11:18 AM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4381 and 547625.\nAnswer: 547625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of (22 - 8)*16 - 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.9 + -3.6. Let w = -2.09 + k. Round w to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25b58 (base 14) to base 11.\nAnswer: -63791","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f - g + 9, f - 19*g + 15*g + 6 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -12*c - 70. Let l(g) = -7*g + 14. Let p(f) = j(f) + 5*l(f). Let b(s) = -195*s**2. Give p(b(o)).\nAnswer: 9165*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -22*k**5 + 132854*k**4 + 422928*k**3 + 72504*k**2 = 0.\nAnswer: -3, -2\/11, 0, 6042","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wy when two letters picked without replacement from {h: 1, g: 1, y: 2, w: 2, k: 7, f: 2}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 3*t = 0. Let u = -9 - -15. Let z = 7 - u. Is z equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-143)\/286)\/((-3)\/10)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -2.1. Let z = 3.8 - 4. Let h = -9 + 12. What is the closest to d in z, 2\/7, h?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 762\/216 - (38\/(-9) + 4). Let p = 49\/12 - l. Let n be (-2)\/(-4) - (-5)\/2. Which is the nearest to 1? (a) 2 (b) n (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 143970 to the nearest one thousand.\nAnswer: 144000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 - -17)*(-34)\/51.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*(-24)\/42*(-1)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -12 - 10 - -11.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 + 25 - 24*h)*(5 - 2 - 4) - 5*h + 2*h - 1 + 4*h.\nAnswer: 25*h - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/5 - 1280\/(-2200)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -418bc0 (base 13) to base 9.\nAnswer: -2786283","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 142 + 3*m**2 - 18*m - 17*m - 22*m + 53*m - 138. Let f(u) = -1. Suppose 2*z + z = 12. What is z*f(t) + r(t)?\nAnswer: 3*t**2 - 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/(sqrt(40)\/sqrt(4)) + sqrt(11) + -4*(sqrt(11) + sqrt(11)*1))*-4.\nAnswer: 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000291 to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3, -32, -57, -78, -95?\n\"Answer: 2*y**2 - 35*y + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 24619, 49178, 73727, 98266, 122795?\n\"Answer: -5*b**2 + 24574*b + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 679798649 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 26*b**2 + 86*b - 1396. Let q be r(16). Calculate the highest common divisor of q and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -147.95 to the nearest ten.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 23\/4 - (-2)\/8. Suppose 2*y = -2*i + r, -7*i + 2*i = 0. Let w = 1 + 1. What is the remainder when y is divided by w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-88)\/28)\/((-5)\/280)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(3 - -9)*((-3660)\/90)\/61.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (2 + 13 + -3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1480 and 46990.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3656124 a multiple of 1396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 + 3*o. Let p be 0\/((4 - 1)*1). Let w(x) = p - 3*x - 1 + 1. Let q(r) = -3*t(r) - 4*w(r). What is the second derivative of q(s) wrt s?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (58 - 60) + (4 - 4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3372603 rounded to the nearest 10000?\nAnswer: -3370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 8:02 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/8? (a) -4 (b) 0.02 (c) 14\/13 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/9 + 3\/(-9). Suppose w = -m - 0*u + u + 5, u + 5 = 2*m. Solve 3*j - 2 - 7 = m for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13155514 (base 9) to base 15\nAnswer: 87cec4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3847, -3846, -3835, -3808, -3759?\n\"Answer: m**3 - m**2 - 3*m - 3844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 298540 is divided by 298487.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -88224 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/((-9)\/27 + 0). Let x = 1698 - 1693. Find u such that 2\/11*u**t - 2\/11*u**x + 0 - 4\/11*u**2 + 4\/11*u**4 + 0*u = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -5*m + 127. Let t(s) = 3. Determine -i(c) + 3*t(c).\nAnswer: 5*c - 118","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6956690698 to the power of 1\/3, to the nearest integer?\nAnswer: 1909","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 4*d**2. Let b(c) = -6456*c**2. What is b(l(j))?\nAnswer: -103296*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(352) - (sqrt(352) - ((sqrt(352)*3 - sqrt(352)) + sqrt(352) - sqrt(352))) - sqrt(352))\/(6*(sqrt(2) + sqrt(8)\/sqrt(4))).\nAnswer: sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.906 - -4.906. Which is the closest to j? (a) 0.3 (b) -2 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, 35, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 2*w - 4*w)*(w**2 - 3*w**2 + w**2) - 21*w**2 + 49*w**2 + 263*w**3 - 31*w**2.\nAnswer: 264*w**3 - 3*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 24*w - 7*w + 1 + 26*w + (231 - 101 + 371)*(0 + w + 0).\nAnswer: 544*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - 4*c**2 + 2*c - 14. Let a be z(-5). Let u be -1 + (-108)\/(-3) + a*-3. Suppose 5*v = u - 52. Sort v, -2, -10.\nAnswer: -10, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2449709718847\/1534995 + 368652070\/231. Let f = 1\/2215 - c. Factor -56\/9*q + 8\/9 + f*q**2.\nAnswer: 2*(7*q - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -59 - 34. Calculate the common denominator of 3*b\/243 - -3 and 65\/18.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*l + 18*q + 568 - 475, -5*l + 29 = -16*q for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of t**4\/18 - 8*t**3\/9 + 16*t**2\/3 + 4*t - 11. Factor m(r).\nAnswer: 2*(r - 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {o: 5, e: 6, f: 2}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21798 + -4661. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/1160026 and -85\/1160026.\nAnswer: 1160026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 5*o**2 + 8*o - 10. Let w be z(6). Suppose w*y - 2*s = 35 - 3, 0 = -5*y + 2*s + 74. Let 3*r**2 + y*r - 2*r - 3 + 15 = 0. Calculate r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-11 - (-330)\/20)\/(2\/(-220)). List the prime factors of a\/66 + 9 - 30099\/(-18).\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -279, 19, -2, -282, 3, 4 in descending order.\nAnswer: 19, 4, 3, -2, -279, -282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o + 5352943 = -732983. Suppose 4*h = -14*h + o. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163 is divided by 159?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -77*u + 47. List the prime factors of w(-6).\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202055 a multiple of 161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2213 (b) 5 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 12 = 18. Let l = -1 - -4. Let z be b\/((l - -2) + -3). Sort 1, z, 2 in increasing order.\nAnswer: z, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/21 + (312\/(-273))\/(10\/16).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (10 + 2 + -30 - -5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 6) to base 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (0 + sqrt(425) - sqrt(425)) + sqrt(425) + sqrt(102)\/(sqrt(270)\/sqrt(5) + sqrt(6)))**2.\nAnswer: -63*sqrt(17)\/2 + 7641\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three tenths of a day?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -3825229\nAnswer: 1\/3825229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 + 22*j**2 + 41*j - 16. Let g be u(-20). What is the remainder when (-21)\/27 + 1 + (-4636)\/g is divided by (-666)\/(-15) + 4\/(-10)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -5*o - 1. Let w be m(-1). Let h = 1.6 + -1.2. Which is the nearest to 0.1? (a) w (b) 0 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*k**4*l**2 - 7036*k**4*l - 1032*k**2*l**2 - k**2*l + 13*l**2 wrt k.\nAnswer: 72*k*l**2 - 168864*k*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (21 + -1)\/(-4)*-2 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 19242 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s - 15. Suppose 2*o = -0*o - 22. Let n be d(o). Let r = n + 26. Solve -2*y + 1 + 3 = r for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 202*c*m**2 + 5*m**2 - 5 wrt c.\nAnswer: 202*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 + 5*p + 2. Let q be f(6). Let c be (452\/q)\/((-11)\/(-40)). Let v = 410 + c. Calculate the common denominator of v and 62\/5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 44164 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*t - 2. Suppose -3*s - 41 = -x, 5*x + t*s = 280 - 75. Let c = -26 + x. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 657 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 16599 and 16633 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 87\/4 of a century?\nAnswer: 2175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d + 3. Let o(y) = y**2 - 9*y - 3. Let t be o(9). Calculate i(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**3 - 3*f**3 + 4*f**3)*(763*f - 763*f - 151*f**2)*(-2 + 1 + 3 + 0 - 55 + 11 - 1 + 0 + 0 + (2 + 0 + 0)*(-2 + 0 + 1)).\nAnswer: -6795*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6a86 - 5?\nAnswer: -6a8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 421145 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6528, -52247, -176330, -417957, -816308?\n\"Answer: -6530*h**3 - 2*h**2 - 3*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*6\/8)\/(714\/(-56)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i - 1. Let n = 9 + -6. Suppose 5 = 2*y - 4*y - h, h + 8 = -n*y. Give g(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (292\/3)\/((-172)\/(-36) + -5). Let m = 443 + y. Calculate the highest common divisor of m and 265.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*b - 41 = 32*b. What is the highest common factor of b and 328?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2561*r - 10871 + 65836 = 690*r - 159601 for r.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -68 + 163. Calculate the remainder when o is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 l when two letters picked without replacement from {f: 3, i: 2, l: 6, u: 1}?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80, 160, 314, 578, 988, 1580, 2390?\nAnswer: 3454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wttw when four letters picked without replacement from {t: 6, w: 2, e: 11}.\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 608459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 2:52 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10570337243 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 + g - 2. Let r be a(-2). Suppose -4*c = -r*c - 72. Suppose -14 = -3*v + 5*s - 0*s, 2*v + 2*s = 20. What is the remainder when c is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 561900280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -13851, -27692, -41533?\n\"Answer: -13841*j - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - 8*l**2 - l - 1. What is m(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2221 - 11?\nAnswer: 2210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24795461?\nAnswer: 47, 527563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 25023131061 less than 0.5?\nAnswer: -25023131060.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 3*j + 16 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -cd014 (base 14) in base 11?\nAnswer: -30a18a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 + -16. Suppose 0 = f - 0*f - 5. Solve -3*h + 3*v = 0, f*h + 4 + z = -v for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (822 + 66*c - 822)*(6 - 2 - 2)*(0 - 2 + 3)*(-4 + 3 + 9).\nAnswer: 1056*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of t**5\/6 + t**4\/12 + 3*t**2 - 17*t - 2. Let c(a) = 0*a**2 + 2*a**2 + 0*a**2. What is c(s(v))?\nAnswer: 200*v**4 + 80*v**3 + 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2895012 and 5568.\nAnswer: 46320192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98821545?\nAnswer: 3, 5, 1997, 3299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -699*k - 3492. Give p(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 5246 + 3269. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 - 13*q**2 - q - 10. Let o be w(-13). Suppose -3*s - 231 = -o*v, 0*v = v - 5*s - 97. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/2 + ((-5)\/(-4))\/(-1)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 33 - -4?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 459 + -456. Let y(x) = x**3 - 5*x**2 + 8*x - 16. Let m be y(b). Let h(q) = q + 19. Determine h(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t - 3*t + 2*t)*((t - 4 + 4)*(4*t - 4*t - t) + 0*t**2 + 5*t**2 - 2*t**2).\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 2:30 AM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1c + -126?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + 21 - (3 + -2 + -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.2 and 253.\nAnswer: 303.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 87253 + 17?\nAnswer: 87270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v - 124. Let z(u) = 159*u. What is b(z(q))?\nAnswer: -159*q - 124","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2808.91 + 2809. What is the second smallest value in 2\/9, -11\/7, m, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + m + 239 = a, 3*a = -3. Suppose -2*y + m - 30 = 0. Suppose 2*s - 3*h - 3 = 1, 0 = -4*s - h + 8. Solve 0 = -u + s*b - 15, 4*b - y = u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 237901454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.241 + 0.241. What is the biggest value in 1, r, 10, 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212 a factor of 34611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15 + 8*n + 36 - 3*n + 43 - 7*n to the form s + o*n and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*n**2 - 1 + 25*n**2 - 15*n**2 - 2*n + (-n + 5*n - 5*n)*(2 - 2 + 2*n) to c + f*n + v*n**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2 - -4)*163\/2?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6873334?\nAnswer: 2, 13, 264359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.55 - 384095632280?\nAnswer: -384095632283.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3688.0003956 + -3688. What is u rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 11*s**3 + 10*s**2 + s - 9. Let x(j) = 7*j**3 + 7*j**2 + j - 6. Let p(c) = -5*m(c) + 8*x(c). Let w = 8 + -11. List the prime factors of p(w).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 - 5*a + 3. Let o = -151 + 143. Let h be -3 + (-23)\/o - (-136)\/64. Determine f(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/44 and -103\/10680.\nAnswer: 117480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -3*f - 500, 0 = 4*n - 2*f + 4*f - 480. Is n a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109501 + 110839 = 7547*a - 190571 - 207943 for a.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 93.67572 and 52?\nAnswer: 41.67572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 11*w + 2*w - 6*w. Let a(n) = 6*n**2. Give d(a(s)).\nAnswer: 42*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3715457ng in kilograms?\nAnswer: 0.0000000000003715457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123144 is divided by 80.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -19*w - 3. Let x(t) = -2*t + 1. Calculate -l(f) + 6*x(f).\nAnswer: 7*f + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**14\/(o\/(o*o\/o**(-6))*o*o))**(2\/89))**(-2\/85) assuming o is positive.\nAnswer: o**(-76\/7565)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 16238.8322 rounded to the nearest one hundred?\nAnswer: 16200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 7, c: 7}. Give prob of picking 4 n.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + (22 - (-8 - (-48 + 22)))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 PM and 11:50 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + -2)\/((-21)\/(-14)). Let j = b + 2. Solve p + 4 = -j for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 5, -a + 168 = 2*y + 45. Suppose x - y = -m + 30, 94 = x - m. Let d = 165 - x. What is the greatest common divisor of 9 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + 7*t + (1225 - 146*t - 1225)*(0 + 0 + 1).\nAnswer: -139*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -758*v + 4 - 2686*v - 438*v + 10*v to the form u + a*v and give a.\nAnswer: -3872","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/7))**(-3)\/((n**(2\/21)*n*n*n)\/n)**(-45) assuming n is positive.\nAnswer: n**(654\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209161 is divided by 767.\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1163 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: 42 divided by 3\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.048 and -0.12.\nAnswer: -0.00576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -6796, 19, -21, 1 in descending order.\nAnswer: 19, 1, -21, -6796","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - 113*g**2 - 7107*g + 136. Determine i(-45).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 5 = -1. Is 1 + 2 - -86 - l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 226006228 divided by 67829?\nAnswer: 3332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 39455884 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30833 + 14.2.\nAnswer: -30818.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 - 6*t + 7. Suppose -3*n + 4*n = -7. Let b be o(n). Suppose -5 + 8 = s. Sort b, -3, s.\nAnswer: -3, b, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/41356 (b) 2\/5 (c) -437\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -44*l + 544. Determine q(17).\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + i - 4 = -3*i, 5*i - 5 = 4*r. Suppose 3*p - 6 = -0*p. Suppose 0 = -p*x + 3*x - 1. Put -3, r, x in increasing order.\nAnswer: -3, r, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*(104\/8)\/(-39). Let u = 1.7 + -0.7. Which is the closest to v? (a) -0.4 (b) 0 (c) -4 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -1140*u - 58885. Determine z(-52).\nAnswer: 395","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 94649.79798 rounded to the nearest ten?\nAnswer: 94650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-100)\/(-5) - 25) + 3140?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7 and -0.5.\nAnswer: -3.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p + 22. Let b be g(8). Suppose -b*o + 6824 = -6*o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -8*s**3 - 6*s**2 - 3*s + 14. Let f(d) = 3*d**3 + 2*d**2 + d - 5. Let a(l) = 11*f(l) + 4*p(l). Suppose 0 = -o - g, 2*g = -5*o + 2 + 7. Calculate a(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -637\/5 + 127. Let q = 1.19 - 0.09. Let p = q + 1.9. Sort -4\/5, k, p in descending order.\nAnswer: p, k, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141919595 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 11:05 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*b - 33*b + 17*b)*((1 - 3 + 0)*(-1 + 0 - 1) - 2 + 0 + 1).\nAnswer: 27*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (1 - ((2 - 3) + 3))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrdndrrdrd. Give prob of picking 1 d and 2 r.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 + 5*n + 168. Let j(o) = -o - 1. Let u(g) = -5*j(g) - r(g). Let c(v) be the first derivative of u(v). Let i(l) = 59*l**2. Give i(c(k)).\nAnswer: 236*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 5 = -0*x. Suppose 0 = q - x - 4. Solve -4*y - 1 = -3*l - 5, 2*y = q*l + 2 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 + 34 - (34 + (-2 + 0 - 0))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1437, -2890, -4355, -5838, -7345?\n\"Answer: -h**3 - 1446*h + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 7:11 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 PM and 6:08 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-88)\/(-96))\/(-32 + (-22301)\/(-696))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 - 28*z - 48. Give h(-26).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1389 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/3696702 and -55\/18.\nAnswer: 11090106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 939551331 to the power of 1\/5, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -31*z - 2. Let s be u(-2). List the prime factors of (-2 + -2)\/(-1 + 58\/s).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 4*l**2 - 287*l + 5126. Give t(34).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -314860*o**6 - 8*o**2 + 3826*o wrt o?\nAnswer: -37783200*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -71a678 + 23?\nAnswer: -71a655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22707.3*6.\nAnswer: 136243.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a tonne in kilograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1111002020212220 - 11?\nAnswer: 1111002020212202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 4052?\nAnswer: -4054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3 (b) 1225 (c) -3 (d) 0.1 (e) -16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (6 + (-144)\/27)*(-17613)\/(-3)?\nAnswer: 2, 19, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 3*v - 51 - 15, v + 78 = 5*q. Solve q = 9*m - 3 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 6 = -2*h, 4*h - 12 = 4*n - 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 73, 97, 139, 199, 277, 373?\n\"Answer: 9*a**2 - 3*a + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -212574, -212486, -212398, -212310, -212222?\n\"Answer: 88*d - 212662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 4*y + 20. Let z = -10956.2 + 10956. Put z, 7, y, 1\/6 in descending order.\nAnswer: 7, 1\/6, z, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + 0 + 0\/3. Let q(o) = 6*o - 21. Let g be q(3). Sort g, l, -4, 4 in increasing order.\nAnswer: -4, g, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63453.4 millilitres to litres.\nAnswer: 63.4534","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 178131 (base 9) in base 5?\nAnswer: 12022132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -14*p + 61. Let k(w) = -12*w + 58. Give 5*k(g) - 4*x(g).\nAnswer: -4*g + 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**4 + 0*p**4 + 0*p**4 - 17*p**4 + 17*p**4 + 8*p**4 + (1 - 4 + 2)*(-p**4 + 0*p**4 + 2*p**4).\nAnswer: 8*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 - 348*n + 40 - 20 - 4.\nAnswer: -348*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2348*j - 125. Let m be q(-2). Suppose 5*l + 2*r - m = 0, 5*l + 0*r + 3*r - 4574 = 0. Round l to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2975?\nAnswer: 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (7*(-39)\/(-42))\/((-1)\/2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/10*(41160\/16884)\/98\nAnswer: -1\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -108021 * -2.33\nAnswer: 251688.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 s, and 1 d when three letters picked without replacement from {s: 1, d: 6, v: 4}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 236730 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -77\/282?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1d94 (base 14) to base 16.\nAnswer: -152e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -1456*q**2 + 7*q + 41. Let t(a) = 5825*a**2 - 27*a - 159. Give 31*b(v) + 8*t(v).\nAnswer: 1464*v**2 + v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.3 + 6. Let w = -48 - -238. Let p = -1523\/8 + w. Which is the smallest value? (a) p (b) 2\/9 (c) -3 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r - 6. Let z be f(4). Let j(w) = z*w + 4 - 2 - 2. Let m(k) = 5*k**2. Give m(j(g)).\nAnswer: 20*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - -131. Calculate the least common multiple of s and 15.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0733224 to four dps.\nAnswer: -0.0733","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -104a1 (base 11) to base 6.\nAnswer: -154312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1046*a - 1418*a + 473*a + 7175*a + 2717*a to the form s + l*a and give l.\nAnswer: 9993","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 1. Let c be (-2)\/(-9) + 22\/(-18). Let r = c + n. Calculate the least common multiple of 2 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 7*t - 1. Let i(x) = 8*x - 1. Suppose 0 = -7*b - 9 + 23. Suppose -7 + 37 = -10*a. Calculate a*w(c) + b*i(c).\nAnswer: -5*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 265223 - 43*v - 265223. Let n(k) = -130*k. Calculate -4*n(j) + 13*z(j).\nAnswer: -39*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 3. Let n be -1*(u - -3 - 1). What is q in -2\/3*q**3 - 2\/9*q**5 + n*q + 0 - 2\/9*q**2 - 2\/3*q**4 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -53, -76, -147, -290, -529?\n\"Answer: -4*h**3 + 5*h - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -5 - 12 - 9 + 11*b. What are the prime factors of o(23)?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*d + 39. Let w be d*(-3)\/63*6\/8. Let h = -2.3 + 2. What is the closest to -1\/2 in -4, h, w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*h*o**2 + 844625*h + 19010*o**2 wrt o?\nAnswer: 14*h*o + 38020*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*o + 935*o**2 - 7*o + 32*o.\nAnswer: 935*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gf when two letters picked without replacement from {e: 2, s: 2, q: 2, f: 1, g: 1, d: 1}?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 5*g**2 + 21*g + 12. Let q be u(-8). Round q to the nearest ten.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2171\/3, 3, 0.2398?\nAnswer: 0.2398","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 4) to base 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3601 + -5?\nAnswer: -3606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2*d - 5 - 81 = 0, -2*n + d + 157 = 0. What is the highest common factor of n and 817?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-3))\/(1\/(-21)). Suppose -4*m = -2 - t. Let j(k) = m*k + 0*k - 3 - 2*k. What is j(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 81 - 77. Suppose -10 = -p - 4*i, 2*i + 2 = 4*p - 20. Let o(n) = 13*n - p*n - 5*n - t. Let v(u) = 3*u - 5. Calculate -5*o(b) + 4*v(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3*f**3 - f + 1. Let a(o) = 3*o**3 - 2*o + 1. Determine 3*a(p) - 4*g(p).\nAnswer: -3*p**3 - 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - 6*z**2 + z - 3. Let t be n(6). Let k be t\/4 + (-296)\/(-32). Solve 17 = -3*o + x, -4*o = 4*x + k + 2 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 0.062, -2\/7.\nAnswer: -2\/7, 0, 0.062, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - n + 2*n)*(-2 - 4 + 4) - 4 - n + 4 - 3*n + 0 + 0 + n + 3*n - 6*n + (-4 + 2 + 1)*(4*n + 0*n - 2*n).\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1355531?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r**2 - 45*r + 25. Let h be z(-23). What is the nearest to 1 in -0.08, h, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 8:09 AM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 197756651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -807*w + 390 = -794*w. Calculate the remainder when 142 is divided by w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 0, 1, 2, 3, 4?\n\"Answer: q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -1 - (-105 + -49 + 75)\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 420 - 412. Solve 2*v = 4*v - b for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -22, -7, -17?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 4. Suppose -3*w + 3*j = -18, 6*w = w + 3*j + 28. Suppose z = w*d - 107, -3*z + 2*z = -m. Calculate the remainder when d is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39270528 by 111564.\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**5 + 0 - 2 + 3 + (-6*k + 6*k - 6*k**2)*(-2*k**3 + 0*k**3 + 0*k**3).\nAnswer: 11*k**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 6:27 AM?\nAnswer: 10:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1027*d - 532*d + 760*d to z*d + j and give z.\nAnswer: 1255","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*u - 4. Put -1, u, -3 in decreasing order.\nAnswer: u, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + 32112?\nAnswer: 32120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-34)\/952*-126)\/(18\/52).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.658 - 974261312\nAnswer: -974261312.658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-45)\/(-35) - (-2)\/(-7). Let r = 2 + q. Determine h so that 0*h**4 - 5*h**5 + 2*h**4 - 2*h**2 + 8*h**3 - r*h**3 = 0.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -239 + 240. Which is the closest to -5? (a) w (b) 0.5 (c) 4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1177*c*j**3 + 8*c*j**2 - 4*c*j - 21*c - 33*j**3 + 5*j**2 - 6*j - 9 wrt c.\nAnswer: -1177*j**3 + 8*j**2 - 4*j - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Is 4650\/4 + (-67)\/134 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01 * -354.\nAnswer: -3.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -75*s + 15. Suppose 4*c = 5*t - 37, -2*c - 7 + 21 = 4*t. What are the prime factors of w(c)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*t + 59059 = 58807 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1, 53, 103, 151?\n\"Answer: -c**2 + 55*c - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-810)\/(-324)*(-84)\/90\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 6*s**2 - 51*s + 1. Let v(t) = -t. Determine v(z(l)).\nAnswer: -6*l**2 + 51*l - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9198 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 19 = -6. Suppose 0 = 4*v - 16, -2*v = -6*t + k*t - 8. Solve -w = -3*f + 3*w, t = -2*f + 5*w for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of 188*w**4\/3 - 2630*w**3\/3 - 1384*w**2. Differentiate k(i) wrt i.\nAnswer: 1504","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/456 and 143\/24.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 852933.\nAnswer: 3, 284311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.4 + 0.6. Suppose -5*g + 5 + 10 = 0. Suppose 4*y = -y. What is the second smallest value in o, y, g?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**3\/l**(-2\/7)*(l*l**(-1\/4)*l)**(1\/6)*((l*l*l*l\/l**(-1))**(-18))**(-6) assuming l is positive.\nAnswer: l**(91321\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -4*b - 1. Let i be n(-1). Which is greater: 3\/2 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 77\/14 - 2\/4 - 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2244*x = -2617*x + 5827*x + 14490 for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184 = 21*z + 2*z. Let o(j) = 429*j + 109. Is o(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 5*t**2 - 10*t - 1. Let p(s) = -4*s**2 + 9*s + 1. Let c(x) = 6*p(x) + 5*q(x). Let m(b) = -b**2 - 18*b - 70. Let k be m(-13). Calculate c(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1*h)**(5\/2)\/(((h*h\/(h*h**(1\/7)))\/h)\/(((h*h*h*h**(2\/3))\/h)\/h)) assuming h is positive.\nAnswer: h**(143\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in twenty-five halves of a second?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**4 + 0*d**4 - 4*d**4 + d - d + d**4 + (-d**2 - 3 + 3)*(-d + d - 2*d**2) - 3*d**2 + 3*d**4 - 7*d**4 + 7*d**4.\nAnswer: 4*d**4 - 3*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 10*m + 1. Give k(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -57 - -38. Let k = 77 + z. List the prime factors of k.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + 119*q**2 + 244*q + 1173. Suppose x - 38 - 2 = 0. Calculate the least common multiple of x and i(-117).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -100391274*b**5 + 27536041*b.\nAnswer: -2007825480*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22298078*m**4 - 5677*m**2 + 905*m?\nAnswer: 535153872*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -86279.25 times -4?\nAnswer: 345117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1961750 is divided by 335?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 + 19. Let q be -1 - (-4 + 1) - m. Suppose -29 = q*n + 2*t - 129, 0 = -5*n + 5*t + 240. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 594220 to the nearest integer?\nAnswer: 771","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -105245*t. Let s(v) = 350*v**2. Calculate p(s(z)).\nAnswer: -36835750*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2222 divided by 202\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 PM and 7:52 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-15)\/(-9))\/(10*(-11)\/(-4950)). Let n be ((-88)\/20 + 4)*t\/(-105). Let 6*w + 36\/7 + 16\/7*w**2 + n*w**3 = 0. Calculate w.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1980 and 6160.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14728958?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 66*b**2. Let k(z) = -1. Let y(h) = -h + 1. Let s(v) = -k(v) - y(v). Determine i(s(q)).\nAnswer: 66*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -1. Let a(c) = c**3 - 2*c**2 - c - 3. Let f be a(3). Is f <= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r - 600 = -2*r. Let j = -40 - r. Is (-2)\/(8\/j)*(-3972)\/10 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-7 - (-9 + (0 - -4)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4*((-225)\/(-20))\/(-9). Let y(z) = -3 - q + 0 - 120*z + 121*z. Give y(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 641 - 702714?\nAnswer: -702073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8.82 - 0.18. What is the third biggest value in 0.4, b, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 57.994 + -58. What is b rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, t: 1, v: 1, a: 2, g: 1, j: 1}. Give prob of sequence gta.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -236 + -151\nAnswer: -387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k**3 - 10*k**2 - 40*k - 277. Calculate x(-7).\nAnswer: 542","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g + 0*g + 4 - 1. Let n = -5 + 5. List the prime factors of o(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 692.5175 kilograms?\nAnswer: 692517500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 98 and 6352.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, t: 10, h: 1, j: 2, y: 3, m: 1}. Give prob of sequence hjm.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 176 divide 904992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 4*l**5 + 29*l**2 - 2*l**3 + 3*l**2 - 12*l - 22*l**3 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 4*r = w + 41, -5*w - 3*r = -72. What is the derivative of -11 + 26 + 8*t + w*t**3 - 8*t wrt t?\nAnswer: 45*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8 + (5*-2)\/((12\/162)\/(-1)). Solve 152*v = m*v - 18 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/4 + 2930\/180 + -17\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -15 (b) -0.1 (c) 0.4 (d) -2\/7 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1201274442?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -o**5\/8 - 7*o**4\/8 + 51*o**3\/8 + 43*o**2\/8 - 175*o\/4 + 33 = 0.\nAnswer: -11, -3, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 35a + -456?\nAnswer: -c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-96)\/(-140) - 4\/10. What is the nearest to 0.2 in -1, -2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34.5 - -42. Let x = -7.8 + o. What is the third smallest value in x, -2\/15, 2.3?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88.09168ng in kilograms?\nAnswer: 0.00000000008809168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 38018841.38 rounded to the nearest 1000?\nAnswer: 38019000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t**(2\/7)\/t))**43*(t**(1\/3))**(-4))\/(((t*t**7\/t*t*t)\/((t*t\/((t\/(t*t\/(t*t**(-8)*t*t)))\/t))\/t))\/(t**(-5\/4)*t**(-6\/5))) assuming t is positive.\nAnswer: t**(10891\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 - 33*i**2 + 182*i + 104. Let l(s) = -4*s**2 + s - 1. Let y be l(3). Let v = y - -61. What is the remainder when z(26) is divided by v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c. Let p(y) = 2*y. Let s(f) = p(f) - 3*r(f). Let v(m) = -11*m**2. Determine v(s(g)).\nAnswer: -11*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qccqqqqcqqqcccsqqqc. What is prob of picking 4 q?\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 37 (b) 4 (c) 3 (d) 32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3*r**3 + 2*r**2 + 22*r + 43. Does 36 divide z(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1869, -1873, -1877, -1881, -1885, -1889?\n\"Answer: -4*n - 1865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.22 + -13.22. Let n = k + 13.1. Which is the nearest to n? (a) 1 (b) -0.1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 73 - 133 = -42. Let k be ((-67)\/(-9) - 1)*(-39)\/26. Is l smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1523125 is divided by 95195?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2615603?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 5 = -5*d, -6*d + 13 = 4*i - d. Let a be ((-56)\/12 - -4)\/((-7)\/42). Calculate the highest common divisor of a and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2111221 (base 4) in base 14?\nAnswer: 36c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -41.4 - -75?\nAnswer: 33.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 = 3*q - 3*u - u, q + 27 = 5*u. Let m = q - -54. Let i be (0 - -5) + 1 + -2. Solve 5*w - 33 = -i*t, 4*w - 3*t = t + m for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - 2 + 2 + 1)*(-14*q**2 - 33*q**2 + 4*q**2).\nAnswer: -129*q**3 - 43*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -75.65 - -2.45. What is s rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61946909 a multiple of 489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7448430?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19*l**4*m**2 + l**3*m**2 - 2*l**3 + 13*l**2*m**2 - l**2*m + 5*l*m**2 wrt l.\nAnswer: -456*l*m**2 + 6*m**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 3.2. Let j = 12 + -19. Let t = 7.3 + j. Put x, t, -5 in descending order.\nAnswer: t, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + 4*p**2 - 2*p - 1. Let o be t(2). Let c = -47 - -48. Solve 4*z - o - c = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + l + 19 = 0, 5*i + 5*l - 4 = 1. What is the first derivative of 1 + 5 + 1 + i - 12*j**3 wrt j?\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -3. Let b be (5 + 4)*1 + -4. Suppose -3 = -b*p + 2. Calculate the remainder when p is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15 + 2*i - 2*i**4 - 14 + 29 - 7*i**2 + 3*i**3 + 10*i**3 to the form r*i**3 + x*i**2 + f*i**4 + p + v*i and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4, -18, -54, -104?\n\"Answer: -7*h**2 - h + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f + 4. Let w be ((-10)\/25)\/(2\/(-30)). Let u be a(w). Let k be (u\/20)\/((-2)\/(-10)). Solve -5*y = -4*z + 41, y + 26 = -y + k*z for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*g**3 - g**3 - 2*g**3 + (4 - 4 - 2*g)*(-9*g**2 - 8*g**2 + 22*g**2) in the form n*g**2 + c*g + t*g**3 + l and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -846.8 - -784. Let k = -17.2 + m. Let w = 80.000082 + k. What is w rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 17*g**3 - g - 1. Let y(c) = 99*c**3 - 6*c - 613. Determine 6*w(u) - y(u).\nAnswer: 3*u**3 + 607","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 - 116\/5. Sort -3, 0.06, d in ascending order.\nAnswer: -3, 0.06, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (40 - (51 + -54))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 217696962 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 4260304.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 146872050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**5\/9 + 50*i**4\/9 + 2*i**3\/9 - 1250*i**2\/9 + 400*i\/3 = 0. Calculate i.\nAnswer: -5, 0, 1, 5, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -44 + 3 + -2 + (28 - (-9 - -26))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/14520 and -123\/880.\nAnswer: 29040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5201 + -2604?\nAnswer: 2375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 3, 4\/9, -4.\nAnswer: -4, 4\/9, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -2\/5, 1, -5, 0, -2\/3, 0.1, 836.83?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*q + 0*q - 3402 = 52*q + 154*q for q.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 20*723740\nAnswer: 14474800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 5*c + 91. Give b(32).\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 165, 73, -123, -459, -971?\nAnswer: -1695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 46\/5 of a millimeter?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 8201, 8510, 9023, 9740, 10661, 11786?\n\"Answer: 102*y**2 + 3*y + 8096","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.4 - 0.8. Let d = -0.4 - m. Suppose o + s + 9 = -s, 5*o + s + 18 = 0. What is the nearest to o in 5, -2\/7, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 2:50 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5\/3, 0, -65, 0.2 in ascending order.\nAnswer: -65, -5\/3, 0, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 l when two letters picked without replacement from {l: 8, c: 2, w: 2}.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*l**2*w**3 - 1077*l**2*w + l**2 - 628*l*w**3 + 2*w**2 wrt l.\nAnswer: -4*w**3 - 2154*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 39 = 4*g, -4*g + 4*h + 2 = -g. Let t be (-868)\/(-93) + 2\/g. Solve 2*l = 4, t*n - 13 = 4*n - 4*l for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from cccdcwdd.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8513?\nAnswer: 8513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 2 (b) 0.1 (c) -1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 429\/42 - (1 - -1) and 403\/(-39)*6\/4.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000046922 to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fssf when four letters picked without replacement from fffssffsssff?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 187 = -82*p + 79*p - 33, 376*p = -5*t + 366*p + 155 for t.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 13*z**2 - 14*z + 12. Calculate f(12).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39 is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14\/3 + -1 + -3. Let m = 5 - 7. Let s = -9 + 5. Sort m, s, g in descending order.\nAnswer: g, m, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3598.345 and -0.5.\nAnswer: -1799.1725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/((-100)\/4))\/((-6)\/(-4)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 838051785.\nAnswer: 3, 5, 293, 21187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 6 = 3*h, h + 3*h + 5*o = -3. Let v = 6 - h. Solve -v*a - 13 = -l - 1, -a - 4*l - 4 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -4*w - 9. Let s(h) = 5*h + 9. Let z(d) = 5*s(d) + 6*x(d). Let c be z(4). Let o = 44 - c. What is o rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1271 - 19ad5?\nAnswer: -1ad56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(2057) + sqrt(2057) + -1 + sqrt(2057) + -3)*1*-4 - (1 + sqrt(2057)*-1 + sqrt(2057)*1*4))**2.\nAnswer: -4950*sqrt(17) + 463050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3150 divided by -13608\nAnswer: 25\/108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 3. Let u(v) = 0*v**2 + v**n - 2*v**2. Let z(s) = 6*s + 5. Let f(t) = t + 1. Let l(i) = -15*f(i) + 3*z(i). Calculate l(u(q)).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25 + 37*k - k**2 - 25 - k**2 to the form n*k**2 + f + c*k and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (-19 - -44 - 19 - (1 - 7))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*i - 105*i + 660 = 0. Calculate the highest common divisor of 15 and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 2*r**3 + 3*r**4 - 290*r**2 + 290*r**2 to the form k*r**2 + v*r**3 + b + l*r**4 + y*r and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 91 + -453\/5. Let g = -10.7 + 11. Let a = -125 - -124.7. What is the nearest to a in g, 2\/7, d?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4231352?\nAnswer: 2, 401, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3193443909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9\/15 - 2412\/70. Let h = -34 - o. Which is smaller: h or 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of ((-426)\/(-2) + -13)\/(8\/108)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**0\/t)**(-6)\/(t**(6\/11)*t*(t*(t*t**(2\/5))\/t*t)\/t))**(23\/2))**14 assuming t is positive.\nAnswer: t**(-26082\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 + 4*k + 1. Let n(r) = -2*r**2 + 17*r + 1. Let z(m) = -3*h(m) + n(m). Suppose 4*l + 3*s = 56, l - 2*l = -2*s - 25. Let d = 11 - l. Give z(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 - 1\/(-1)*1. Let c(m) = -m**2 - 6*m - 2. Let g be c(-5). Let h = g + -1. Put h, u, 1 in increasing order.\nAnswer: u, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/(-42) + (-19)\/(-7). Let w = 0 + f. Differentiate 2*a + 13 + a - w*a + a**4 wrt a.\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92952536 to the power of 1\/2, to the nearest integer?\nAnswer: 9641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -5*w**2. Let g(c) = -65*c + 63. Give g(y(k)).\nAnswer: 325*k**2 + 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -3*p**2 - p - 5. Let a(q) = -q**2 - 2. Let n(r) = r**3 - 16*r**2 + 66*r - 18. Let h be n(8). Suppose -10 = -0*y - 2*y. Calculate h*z(b) + y*a(b).\nAnswer: b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, -0.1, -1, -6\/31, 9\/16?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-0.8.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p = -3*p. Let j(h) be the second derivative of 0*h**4 + p*h**3 - 1\/2*h**2 - h + 0 + 1\/5*h**5. Differentiate j(q) with respect to q.\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 11. Let h = -109 - -105. Let n be (4 - -2)*h\/(-6). Which is the third smallest value? (a) v (b) n (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 162.43485 - 0.04485. Let q = m + -148. What is q rounded to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 - 1. Let k(r) = -4*r**2 - 5. Let o(c) = 11*c + 2. Let w be o(-2). Let l(y) = w*q(y) + 4*k(y). Let j(u) = -324 + 324 - u. Determine l(j(m)).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12447983?\nAnswer: 19, 655157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m**5 + 35*m**4 + 90*m**3 - 950*m**2 + 875*m + 1875 = 0.\nAnswer: -5, -1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 f when four letters picked without replacement from sgggsgggggfsgsggss?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g + j + 10, 142*g - 143*g = 4*j - 28 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27155473 + 54310927 - 22*m**3 - 27155454.\nAnswer: -22*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1190)\/(-50) - 1\/(-5). Let a = n + -14. Suppose 0*c - c + 4*h = -13, 4*c + 5*h - a = 0. Solve 0 = c*s + y - 20, -2*s + 4 + 4 = y for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*o**3 - 17*o**3 + 2*o**3 + 2*o**3 - o**3.\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 + w**2 + 3*w + 15. What are the prime factors of n(0)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 16 = -2*z + c, 4*z + 2*c - 24 = 0. Let k(x) = x**3 + 9*x**2 + 13*x - 1. Let l be k(-6). Let q = l - 15. Solve z*m + q = 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-2\/9))\/f*f**3*f**(2\/3)*f**(-2\/7)*f**2\/f*f**(7\/5)*f**(2\/9)*f\/(f\/(f*f**(-2))*f) assuming f is positive.\nAnswer: f**(1331\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 549658 and 106.\nAnswer: 29131874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1394306495 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -21 less than -4\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**2*k**2*q**3 + 15*c**2*k*q**2 - 5*c**2*k*q + c*k**2*q + 10*c*q**6 wrt q?\nAnswer: 6*c**2*k**2 + 1200*c*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 613*d**3*l**3*z + 2*d**3*l**3 - 5*d**3*l**2*z + 34*d**3*l wrt l.\nAnswer: 3678*d**3*z + 12*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**5 + l**5 - l**5 + (-3*l**4 + 2*l**4 + 3*l**4)*(-1078 + 1078 - 99*l) - 3*l**5 - 2*l**5 + 4*l**5 + 4*l - l**5 + 5*l - 6*l.\nAnswer: -202*l**5 + 3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 8 = 5*d, -4 = -d - 3*d + 3*c. Let t(a) be the first derivative of 0*a**2 - 2\/3*a**3 + 4 + a**d + 0*a. Find the third derivative of t(o) wrt o.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (3*sqrt(26)*-2 + (sqrt(26) - ((1*sqrt(312))\/sqrt(12) + sqrt(26) - sqrt(26))))\/(sqrt(12)\/(sqrt(6) - -1*sqrt(384) - sqrt(6))).\nAnswer: -48*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3*y + 2. Suppose -6*f = -2*f + 24. Let d be (-2)\/(-4) + 3\/f. Suppose -2*m + 4*v - 18 = d, 3*m + 12 = -v + 2*v. Calculate z(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -140890, -281460, -422028, -562594, -703158, -843720, -984280?\n\"Answer: o**2 - 140573*o - 318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 115\/(-120) + (-116130)\/5040.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j - 2. Let o be d(-7). Let f = o + 6. What is the second derivative of -22*l + 3*l**3 + 7*l + f*l**3 wrt l?\nAnswer: 84*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 63256 and 88?\nAnswer: 5566528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -31.\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 154439143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, -1, -12, -37, -82, -153?\nAnswer: -256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 332?\nAnswer: 1660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4c001 - 8b4?\nAnswer: -4c8b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lj when two letters picked without replacement from rrhjhhrhlhllhrl.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -47333*-3\nAnswer: 141999","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - i**2 + i + 1. Let j(g) = -5*g**3 - 5*g**2 + 10*g + 3. What is 3*h(t) - j(t)?\nAnswer: 8*t**3 + 2*t**2 - 7*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*n**4 - 12*n**4 + 22 + 47106*n**3 - 47105*n**3 - n**4 - 4*n**4 + 4*n**4 + (0*n**2 + 2*n**2 - 3*n**2)*(-n + n + n**2).\nAnswer: -19*n**4 + n**3 + 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vsv when three letters picked without replacement from {d: 2, v: 3, j: 5, s: 1, g: 1}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + 4*t**2 - 3*t + 9. Let y be x(-5). Let r = -7 - y. Let j(i) = 2*i + 17. Let v be j(r). Solve 7 + 8 = v*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3.9, -0.3, -2\/11, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34306*g**5 + 368*g**3 - 6595228*g - 2 wrt g?\nAnswer: -686120*g**3 + 2208*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1041554 - 2?\nAnswer: -1041556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -21 (b) 4 (c) -10 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-5) - (-2)\/(-5). Suppose b = 6*t - t - 25. What is the units digit of (-2 - (-7)\/t)*-5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 878, 1736, 2594, 3452?\nAnswer: 4310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 2*m**2 + 3*m. Suppose 0 = -3*x - 1 - 5. Let v(t) = -t. Let g(b) = x*s(b) - 6*v(b). What is the third derivative of g(q) wrt q?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.131559 (b) -1\/2 (c) -98 (d) 0 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 51*w**2 - 3*w + 3. Let i be v(1). Suppose 48*l = i*l + 6. Let k be 8*(3\/(-6) - l\/2). Solve 0 = k*s, 2*s + 0 + 5 = -5*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/6, 3, 3188, -12, 0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*i - 2181*i**3 - 14*i**4 + 1079*i**3 + 1103*i**3 - 2 to x + w*i**2 + y*i**4 + h*i + b*i**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 - 47\/3. Let y = -0.7 - -1.2. Let r = y - 0.4. What is the nearest to r in 3\/2, t, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 22 - 487?\nAnswer: -465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -140 by 14.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.1 + 1.1. Let r = 7.53 + -7.63. What is the third biggest value in r, z, 3\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.1427 to two dps.\nAnswer: -1.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 3*k - 624, f - 3*k = -7*k + 223. What is the smallest common multiple of f and 77?\nAnswer: 2233","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -18*t - 2 + 6*t + 24*t + 37 + t**3 - 16*t**2. Let p be s(15). Put -4, p, 0, 4 in decreasing order.\nAnswer: 4, 0, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2825\/19873 - -2\/2839. Put 61, 2\/5, 7, y in decreasing order.\nAnswer: 61, 7, 2\/5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, m: 6, h: 7}. Give prob of picking 3 m.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37 - 34. Let n be 4\/d*15\/(-10). Let r be 7\/5*(-4)\/(-14). What is the nearest to 0 in n, 2\/3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -384 = -33*b - 4*b + 97 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*v + 2*f - 20, -f = 106*v - 111*v - 22 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 53248331 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: Let h = -371329\/125544 + -3\/5231. Calculate the common denominator of (-3)\/2 + 65\/4 and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7780 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of -17*p**6\/6 + p**5\/5 + 10*p**4 - 2*p**3\/3 + 13*p**2 + 11*p + 11882. What is the third derivative of s(q) wrt q?\nAnswer: -1020*q**2 + 24*q + 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(275)*-3)**2.\nAnswer: 2473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 1\/7*v**4 - 15\/7*v**2 + 32\/7*v - 16\/7 - 2\/7*v**3 = 0?\nAnswer: -4, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 528 is divided by 96.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1272 = -633*s + 2796*s + 144 + 747 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-192)\/(-1248))\/(1\/(-91)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 47*p**3\/3 - 38294*p**2\/9 + 22493*p\/9.\nAnswer: p*(p - 271)*(141*p - 83)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -737 + 735. Let z(s) = s - 1. Let u(t) = -t**3 + 4*t**2 + 3*t. Let p be u(-2). Let y = -29 + p. Let v(m) = -5*m + 5. Calculate c*v(l) + y*z(l).\nAnswer: -l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 37*w - 3163 + 3755 for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3531, -4, -3265 in descending order.\nAnswer: 3531, -4, -3265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -85.605102.\nAnswer: 428.02551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4*l - 123 = -x, 2*x = -2*l + 54. Calculate the least common multiple of 7 and l.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1190 + -1191 + (-3)\/(6 + 3) + (-618)\/(-45)?\nAnswer: 62\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 40, 58, 78, 100, 124, 150?\nAnswer: 178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -903, -4, 3, 12.\nAnswer: -903, -4, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 7) to base 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28638467?\nAnswer: 11, 13, 271, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10057012 + -0.08.\nAnswer: 10057011.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 32*r + 1981. Give p(-56).\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1010 (base 2) to base 16\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/207 and (-45822)\/191268 + (-2)\/44.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -12231030?\nAnswer: -12231021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 120150 + -61?\nAnswer: 120067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -51 + 53. Suppose g*r + 0*r + 2027896 = 0. Let x = 393948 + r. What is x rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3*r**3 - 325*r**2 - 219*r + 123. Determine z(109).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -8*h**3 - 16*h + 16. Let x(o) be the first derivative of -o**4\/4 - o**2\/2 + o - 31. Calculate -u(g) + 16*x(g).\nAnswer: -8*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84 - -13 - (-91 + 96).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/4)\/(15\/(-78)*-13).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66, 160, 248, 330, 406, 476, 540?\nAnswer: 598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 3*j - 56 = -112, 4*w - 2*j = 60. Solve 3*f - 29 + w = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.79 to zero decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a kilogram in grams?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 32 = -182. What is the remainder when m is divided by 19?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of -1\/20*m**6 + 0*m**5 + 0*m**3 + 0 - 1\/6*m**4 - 18*m**2 + 0*m. What is the second derivative of s(t) wrt t?\nAnswer: -36*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 121 + -33130?\nAnswer: -33005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 5 (c) -4 (d) -58 (e) -1\/2 (f) -33\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 132 + -115. What is the highest common factor of 51 and l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 640?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/(-44) + 404\/44*-1. Calculate the remainder when ((-4 - w) + -8)*-27 is divided by 22.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/550 (b) 2\/3 (c) 1 (d) 762\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13700?\nAnswer: 2, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13215 - -5?\nAnswer: -13210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4407232.\nAnswer: 2, 68863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hnn when three letters picked without replacement from heepehnenppepnepepe.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a**2. Let u(r) = -316*r**2. Give l(u(w)).\nAnswer: 199712*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89387.\nAnswer: 89387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 5*w = -140, 64 = 2*k - 5*w + 15. Let t = 86 - k. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -6*z**3 + 9*z**2 - 1572. Let k(j) = j**3 - 2*j**2 + 393. Calculate -9*k(x) - 2*s(x).\nAnswer: 3*x**3 - 393","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 81 + ((-3)\/(-1))\/3. Let o = l - -5. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in 6\/17, -2, 4, -0.11, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 7*s**2 - 5*s - 4. Let n be k(6). Let r(d) = -d**2 + 8*d - 6. Let l be r(6). What is the greatest common divisor of n and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 11:14 PM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6795426 and 231?\nAnswer: 47567982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 7*p + 12 = 3*p, 0 = 5*i - 5*p - 120. Suppose 417 = 4*u - o, u - o - 77 = i. Let g = 41 + u. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/99 and -26.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -88 + 93. What is the third smallest value in -4, d, 0, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - 3*r - 1934. Let q be s(0). Let a = q + 13562\/7. Find the common denominator of a and 39\/25.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -2\/11, 1\/9472 in ascending order.\nAnswer: -2\/11, 1\/9472, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in -239, -0.01, 0, -14, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - 11*o**2 - 11*o - 9. Let r be m(12). Let f(u) = 2*u**2 + u + 4 + 0*u**2 - u + r*u. What are the prime factors of f(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 0*v + 5*i + 35 = 0, -2*i + 2 = 0. Let d be (-16)\/v*1\/(-4). Factor 0*s + d*s**2 - 2\/5.\nAnswer: 2*(s - 1)*(s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 7:42 PM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 3*a - 3. Let u(q) = -2*q**2 + 8*q. Let l(g) = g - 1. Let i(x) = 4*l(x) - u(x). Determine 3*i(j) - 4*z(j).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*s**5 + 3449777*s**3 + 56359202*s wrt s.\nAnswer: 80*s**3 + 20698662*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 6) to base 3.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31000022 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**2*d**3 + 13*a**2*d**2 - 4*a**2*d + 3*a*d**4 - 39*d**4 - 3*d**3 + 15*d**2 + d wrt d?\nAnswer: -6*a**2 + 72*a*d - 936*d - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**4 + s**2 + s - 1. Let d(w) = 4*w**4 + 3*w**2 - 6*w - 3. Let r(k) = d(k) - 3*n(k). What is the second derivative of r(o) wrt o?\nAnswer: 84*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2*l - 3 = 0. Let a be l*-4*2\/(-12). Let c(t) = -a*t - 4*t - t + 6*t. Give c(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -55, 0, -328, -4 in decreasing order.\nAnswer: 5, 0, -4, -55, -328","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: 6065 divided by -1\nAnswer: -6065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 605.94 - 611. Let o = n - -0.06. Let h = 0 - o. What is the biggest value in -4\/5, 5\/3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7510.42l?\nAnswer: 7510420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lldveyea. Give prob of sequence av.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 968.3027cm in kilometers?\nAnswer: 0.009683027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8173 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*4\/(-32))\/((-15)\/60).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1232 (base 6) to base 16.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)*5)\/sqrt(4) + ((sqrt(315) + 3*sqrt(315) - sqrt(315))\/sqrt(9))\/sqrt(7).\nAnswer: 13*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 46 = 2*s. Suppose -11*z + s = 10. What is the greatest common factor of 50 and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -395 - -394.7. Which is the third biggest value? (a) v (b) 5\/3 (c) 46\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n. Let g(t) = -273*t - 26. What is z(g(j))?\nAnswer: -273*j - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(800) - -3*sqrt(800))\/sqrt(4)*-6.\nAnswer: -240*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/2*(-16)\/(-3). Suppose -10 = -w - 4*d, -2*d = w + d - n. Suppose 2*l - 16 = -w*l. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -91.29 + 91. Which is smaller: w or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -412*v = -47*v + 14007 - 2327 for v.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*x**2 - 1 - 3*x**3 + 1720*x**4 + 5*x - 4*x - 1718*x**4 in the form o*x**4 + i*x**3 + f*x + s + t*x**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of 0*z**5 + 0 + 0*z**3 + 1\/15*z**6 - 3*z - 2*z**2 + 0*z**4. What is the first derivative of c(x) wrt x?\nAnswer: 8*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**2 - 5908*w + 172173 = 0. What is w?\nAnswer: -5937, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 163618.9505 - 163837. Let w = q + 218. What is w rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.130056191 rounded to 5 dps?\nAnswer: -0.13006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 w when two letters picked without replacement from nawaaanawwn?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12606 - -12613. Calculate the lowest common multiple of a and 142.\nAnswer: 994","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((-144)\/(-66))*24\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 523*o**3 - 2*o + 2*o - 15441085969*o**2 + 15441085969*o**2.\nAnswer: 523*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = p + 4*p + 3*r - 11, -1484*p + 1487*p + 6 = 4*r for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 581682 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1108\/20 - (-16)\/(-40)) + -2. Let t(w) = r*w**2 + 0 + 4*w - 5 - 52*w**2. Let v be (-20)\/3 - (-6)\/9. Calculate t(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3558\/(-6)*(5 + -2). Let g = -1165 - j. Is 82 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -232 + 43 = -27*z. What is the remainder when z is divided by (-24)\/(-10) - (-6 - 64\/(-10))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -544*h - 543*h - 540*h - 549*h - 541*h + 3246*h - 542*h.\nAnswer: -13*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-5*(-15)\/50)\/(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 140, 151, 162, 173, 184, 195?\n\"Answer: 11*h + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**2 + 38622*b + 38620 = 0.\nAnswer: -19310, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*1 + (115 + -117)\/((-1)\/(-2)). Which is the nearest to -1? (a) 0 (b) 5 (c) -42 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 287 divide 3755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 6 + 2 = 0. Let i be h\/((-2)\/1) - 1. Sort i, 2, 3 in ascending order.\nAnswer: i, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36.8 - -34. Let k = 0.2 - j. Let p = k + 2. What is the nearest to 1 in 0.5, -1, p?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (1 + 1 - (-24 - -16 - -12))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f + 8. Let w be o(9). Let j be w\/(-3) - 6\/(-9). Suppose x - 4*k = 11, -k + 8 = x + 7. Solve -x*d - c - 17 + 6 = 0, -3*c = -j*d - 19 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -841*h**3*r + 41*h**3 + 2*h**2*r - 2*h**2 + 2*h - 3702*r + 8265 wrt r?\nAnswer: -841*h**3 + 2*h**2 - 3702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 113, 421, 915, 1595?\n\"Answer: 93*z**2 + 29*z - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 145*w - 294. Let t be f(2). Let q(y) be the second derivative of -y**4\/12 - y**3\/2 - 2*y**2 - 2*y. What is q(t)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/64 of a meter?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*r**2 + 941 - 941.\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -83012.8 to the nearest 10.\nAnswer: -83010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (16\/6)\/((-2)\/(-6)). What is the second derivative of -33*s**4 + p - s - 4*s**4 + 18 - 8 wrt s?\nAnswer: -444*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 18578*1 - (4 - 1). Let l = -10575 + v. Round l to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2634595.63 rounded to the nearest one hundred thousand?\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -420 - 356. Let f = -980 - t. Which is bigger: -1\/5 or f?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95435 is divided by 85?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 202 - -7a?\nAnswer: 27c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of -7*o**6\/30 + o**4\/3 + 7*o. What is the third derivative of t(y) wrt y?\nAnswer: -168*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 311 - 0.04\nAnswer: 310.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 450 + -2?\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 56 and 50736?\nAnswer: 50736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 162447743 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*j + 3*j + 5. Let v be (-1)\/4*(j - 5). Let q(h) = -h**3 + 7*h**2 - 8*h + 9. Let s be q(6). Put 5, s, v in decreasing order.\nAnswer: 5, v, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234 a factor of 14351220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 245, 354, 463, 572, 681, 790?\nAnswer: 899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 0 + 8 = -4*h, -a = -5*h + 20. Let k = 49\/55 + -12\/11. What is the third biggest value in h, 2\/11, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-6)*180\/30. What is the closest to n in -4\/5, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -468891\nAnswer: 4\/468891","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: -10100001011 (base 2) to base 13\nAnswer: -784","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 4845828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 401109, 802215, 1203321, 1604427?\n\"Answer: 401106*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n + 8*n**3 - 501740 - 7*n**3 + 101740. Let x(p) = -p**2 + 6*p + 7. Let y be x(7). Let g be j(y). Round g to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60289?\nAnswer: 60289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, w: 2}. Give prob of picking 1 v and 1 w.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 12b83 + 2?\nAnswer: 12b85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 239622904 to the nearest integer?\nAnswer: 621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**4\/7 + 629576*o**3\/7 + 49546372044*o**2\/7 + 99090855368*o\/7 + 49545112898\/7.\nAnswer: 2*(o + 1)**2*(o + 157393)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**2 - 4*w - 8. Let s be t(6). Calculate the lowest common multiple of (-2)\/(-5) - (-464)\/s and 22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.3 + 0.6. Let z = 0.05 + -0.05. Let u = z - 0. What is the third smallest value in -3\/2, u, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 10:35 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/sqrt(24) + sqrt(7) + 4*(sqrt(7) + 0) - (sqrt(7) - sqrt(21)\/sqrt(3)*2 - (sqrt(7) + (sqrt(847)*-1 - sqrt(7)) - sqrt(7))))**2.\nAnswer: 847\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 26\/143 + (-942)\/(-264) - (2 - -2). Put 7\/5, y, 3, -0.4 in increasing order.\nAnswer: -0.4, y, 7\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**(5\/3))\/t**(-2\/9))\/(t**(3\/7)*t**(-2\/5)))**6 assuming t is positive.\nAnswer: t**(-298\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/11260 and 7\/190030.\nAnswer: 213973780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 12) to base 10\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-1*sqrt(567))**2 + sqrt(567) - (sqrt(896) + sqrt(56))\/sqrt(8) - -5*(0 + sqrt(7) + -3)).\nAnswer: 36*sqrt(7) + 2208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9811 = 43*w - 3947*w - 358*w + 49857 for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -10. Suppose -2 = -j + 2*j. Sort j, -3, z in ascending order.\nAnswer: -3, j, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1667389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1463 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, l: 1, a: 3, p: 3}. Give prob of sequence pma.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53684701.\nAnswer: 7, 613, 12511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 5*y - 3*y)*(106*y**2 + 6*y + 3*y**3 - 1 - 106*y**2).\nAnswer: 3*y**4 + 6*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 8:16 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3*o**2 + o**2 - 7*o**2. Suppose 3*b = -b + 8. Let u(w) = 11*w + w**b - 11*w. What is u(c(d))?\nAnswer: 9*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*q - 15 = -38*q. Suppose 4*t = 7*t + 5*g - 39, 13 = t - q*g. Suppose t*k - 10*k = 15. Solve -5*n + 5*d + k = 0, 2*n = -3*n - 4*d - 4 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -95317.5282 less than 1.12?\nAnswer: 95318.6482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 344*g**2 - 3*g**5 - 227*g**4 + 485*g - 191*g**2 - 156*g**2 wrt g?\nAnswer: -180*g**2 - 5448*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -z + 2. Let l(v) be the third derivative of -v**4\/8 - 33*v**2 + 5*v + 18. Calculate l(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*z**2 - 30964461*z + 30964461*z.\nAnswer: 92*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6642 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6120.968 days to hours.\nAnswer: 146903.232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 127 + -107. What is the remainder when l is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2015 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -15330207\nAnswer: 4599062.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 + 29. Let l = g + 10. Solve 7 + l = -5*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 5*v + 7. Let u be p(-1). Let s be ((-1)\/u - 0)*344. Let r = s - -247. Calculate the highest common divisor of r and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {m: 2, k: 5, n: 2, p: 11}?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert d1 (base 16) to base 6.\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 193 = 3*z - 508, -4*z - 2*c + 390 = 0. Suppose -4*i + 0*i + z = 0. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**4 + 7*x - 8*x**4 - 9*x**2 - x**5 + x - 6*x**3 + 2*x**2 + 11*x**2.\nAnswer: -x*(x - 1)*(x + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 0.4, -0.1 in descending order.\nAnswer: 0.4, -0.1, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*a**2 + 535*a - 6454 wrt a.\nAnswer: 22*a + 535","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 231*m. Let q be o(1). Suppose -2*j = s + 50, 5*s - 4*j = -q + 37. Is ((-140)\/s)\/(4\/114) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, -12752, 260 in ascending order.\nAnswer: -12752, -2, 1, 260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, w: 4, h: 1, t: 1, l: 4, y: 3}. Give prob of picking 1 l and 3 y.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86178?\nAnswer: 2, 3, 53, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6 - -13) + 1*(4 + 5995)?\nAnswer: 2, 3, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 - -17.1. Let w = o - -2.1. Let h = 3.01 - w. Round h to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52 + 46 + -25 + -21.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**3 + 61552*j**2 + 184692*j.\nAnswer: -4*j*(j - 15391)*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 31 + 10 = 7*v, 21*q - 17*q = 10*q + 54 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2. Let q(y) be the third derivative of y**6\/720 + y**5\/120 + y**4\/6 - 2*y**2. Let j(p) be the second derivative of q(p). Determine 2*j(x) + n(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000063278 rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 2*i - 3*z - 944, -1382 = -3*i - 4*z. Is 48 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j**3 - 40*j**2 + 101*j - 4. Give l(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of 81*s + 0 - 11\/8*s**3 + 1\/240*s**5 - 1\/12*s**4 + s**2. Factor i(r).\nAnswer: (r - 11)*(r + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 122, 275, 522, 887?\nAnswer: 1394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -47\/366 bigger than 85?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*t - 5*t + 18*t - 7*t + 6*t.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 + 6*g - 1. Let v be s(1). Let a be (-6196)\/(-24) - 1\/v. Let o = 9 + a. List the prime factors of o.\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66, -145, -226, -309, -394?\nAnswer: -481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 + 25 - 7*l)*(l**2 - 2*l**2 + 3*l**2) + 2*l**3 - l**2 + l**2 - l**3 + 1 - 1 + (-l - 3 + 3)*(3*l**2 - l**2 + 0*l**2) + 2*l**3 + l**3 - 2*l**3.\nAnswer: -14*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -275*b*g**4 - 7*b*j**2 - b + 123*g**4*j**2 - 96*j**2 - 4*j wrt g.\nAnswer: -1100*b*g**3 + 492*g**3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (6*-1*sqrt(20))\/(sqrt(160) + sqrt(160) + sqrt(160) + 1*sqrt(160)) + 4.\nAnswer: -3*sqrt(2)\/8 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6 - -7)*2\/16. Let j = 0.2 + -0.2. Let q = 233 - 1634\/7. Which is the nearest to j? (a) 1\/5 (b) q (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 197408 and 49352.\nAnswer: 197408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5321*g**3 + 5469*g**3 - 10682*g**3.\nAnswer: 108*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -5*o**2 - 400*o + 405 = 0.\nAnswer: -81, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 3)*(-v + 3*v - v) + 2176*v - 571*v + 1224*v + 1061*v.\nAnswer: 3887*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 2088 divide 250194934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2045*q - 32616. Determine r(-16).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 224\/704*(-12)\/21. Which is the nearest to 1? (a) -2 (b) -1\/255 (c) n (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -82, -90, -94, -88, -66?\n\"Answer: g**3 - 4*g**2 - 3*g - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2*a = 8. Factor -4 + 2*g + 9*g**3 + 0*g - 7*g**3 - a*g.\nAnswer: 2*(g - 2)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2)*(-3*r**3 - 2*r**2 + r**2 - r**2).\nAnswer: 6*r**3 + 4*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11842599 to the power of 1\/2, to the nearest integer?\nAnswer: 3441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 8:14 PM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/48 + 8\/(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 957566.\nAnswer: 2, 683, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + d = 14, 4*b - 2*d + 8 = 2*d for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 271 or 272?\nAnswer: 272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.527096 + -97.54?\nAnswer: -122.067096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**3\/7 + 680644*j**2\/7 = 0. What is j?\nAnswer: -680644, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-5) + (-117)\/405?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 59547.5*0.1\nAnswer: 5954.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157228 + 157234 - q**2 - 314467.\nAnswer: -q**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 2*y = -5*y + 2, -x - 2*y - 1 = 0. Let r = 1 + x. Let m(s) = s**3 + 7*s**2 + 5*s - 3. Let k be m(-6). Solve -r*p + 15 = k*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-217)\/(-28) + -7)\/((-3)\/(-6)). Put p, 0.2, 3, 2\/9 in increasing order.\nAnswer: 0.2, 2\/9, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8369183?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.77 * -0.005051\nAnswer: -0.00388927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2346742817?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -2. Let u = -7.97 + 8. What is the second smallest value in u, w, -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18464 (base 16) to base 6.\nAnswer: -2044152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 17 - (-41 + 62 - 6 - (22 - 2))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 80293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**2\/5 - 1256*n\/5 = 0.\nAnswer: -628, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 8*d**2 + d. Let i(a) = 3276*a**2 + 208*a. Calculate -208*g(s) + i(s).\nAnswer: 1612*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6007700 + -8?\nAnswer: -6007708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*l = 32*l - 60. Suppose 0 = -16*o + l*o + 103. List the prime factors of o.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*z - 592*z**2 - 2 - 262*z**2 - 38*z.\nAnswer: -854*z**2 - 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lcvv when four letters picked without replacement from {v: 4, b: 2, l: 1, c: 1}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 282, 486, 678, 852, 1002?\nAnswer: 1122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -64427119*k + 68111714 wrt k?\nAnswer: -64427119","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5, 5, 0.1, 11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -11*p**2 - 11*p + 4. Let z(b) = -15*b**2 - 13*b + 4. What is 3*r(k) - 2*z(k)?\nAnswer: -3*k**2 - 7*k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -187868220859 and 31?\nAnswer: 187868220890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 322?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7 less than -7952?\nAnswer: -7953.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, x: 7, r: 1}. Give prob of picking 1 r, 1 x, and 1 m.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -8, -14, -20, -26, -32?\n\"Answer: -6*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 131 = -3*s. Suppose y = -3*x + 247, y - s + 133 = x. Suppose 0 = f - 5*f + x. List the prime factors of f.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/3, 0.07, -1\/7, 34, 5\/6, -16?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7587 is divided by 2899.\nAnswer: 1789","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -12*r + 25. Calculate the remainder when 29 is divided by r\/(-32) + 123\/24.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 761, 3970, 10073, 19064, 30937, 45686?\nAnswer: 63305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 1. Let b = 229.1 - 224.5. Sort -1\/7, y, 5, b in decreasing order.\nAnswer: 5, b, y, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 2, 0.1944, 0.5?\nAnswer: 0.1944","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 6*t**2 - 29*t + 173. Calculate p(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 6*p - 6. Let k(u) = 792*u - 223*u - 537*u. Determine k(t(b)).\nAnswer: 192*b - 192","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 3. Suppose r = 3*c - c - 50. Calculate the highest common divisor of c and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -559*0.041.\nAnswer: -22.919","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -5. Let k = 9 - 6. Let w be (-2)\/10*6\/k. Which is greater: a or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127263063?\nAnswer: 3, 42421021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 206897 - (8 - (2 + 9)). What is x rounded to the nearest 10000?\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 110.1 - 110. Let x = -244\/7 + 2698\/77. Which is bigger: i or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + 5*k**2. Let r be p(-5). Let u = 2 - 0. Let o(y) = 5 - y**2 + u*y**2 + 0*y**2. Calculate o(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjh when three letters picked without replacement from {j: 4, h: 7, v: 5}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1288225\/(-14982) - 2\/132.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 306 in -1, -0.2, 0.3, 5\/2, -14?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaaaa. Give prob of sequence aaaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -1. Suppose -2*y = 3*y - 3*o - 7, o = 5*y - 9. Suppose -9 - 3 = -2*g + 2*p, y*g = 4*p + 22. Calculate the greatest common divisor of g and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1b6 - -16773?\nAnswer: 1659b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -20*b + 31. Let l(h) = 5*h - 5. Let n(j) = i(j) + 6*l(j). Let s(k) = 5*k**2. What is s(n(z))?\nAnswer: 500*z**2 + 100*z + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 3 - (-4 + -33) - (-2 + 6)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k + 3. Let t be r(3). Let l(b) = -2*b + b + 2*b + 1. Is l(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1324 + -778. Suppose -33*u + 35*u - 192 = 0. Suppose 0 = -6*j - u + o. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = w. Let h be (w - 0) + (-32)\/(-16). Suppose 13 = 5*r - s, -5*r - 2 + 18 = -h*s. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -132, 3, 983, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u - 78 = -c, -c - 3 + 117 = -13*u for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3025489 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.19 + 0.49. Let y = 70.8 - 70.9. What is the nearest to y in 0, 1.3, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-15)\/7)\/(-5))\/((-72)\/(-96))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001688 rounded to seven dps?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 342 divided by 2\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 o, and 1 r when three letters picked without replacement from tkokkstssr.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2899381 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30*y**5 - 1058999*y**2 + 78881526*y?\nAnswer: 600*y**3 - 2117998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 910 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -6*y + 2*y + 5*v, -2*y + 4*v - 16 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - 3*s - 2*s)*(0*s - 4*s + s) + s**2 + 0*s**2 - 10 + 7 - 9*s - 7 - 1394*s**2 + 0*s + 1391*s**2.\nAnswer: 10*s**2 - 9*s - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 958, 1921, 2888, 3859?\nAnswer: 4834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2142 - 1202 = -8*i + 50*i - 908 for i.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*((-448)\/189)\/(-8) + 12175\/(-225)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 649045?\nAnswer: 5, 271, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1621 divided by 160.\nAnswer: 1621\/160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of -2*l**7\/21 + 55*l**6\/24 - 41*l**5\/6 - 5*l**4 + 3814*l**2. Let w(u) = 0. What is u?\nAnswer: -1\/4, 0, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68 and 102.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -254362 = -172*o + 290527 + 228079. Is 107 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -531? (a) -1 (b) 0.4 (c) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/56)\/((-13467)\/(-377076)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-158) + 79856\/58776?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/2, 0.10326, -1, 1\/6, -3\/7?\nAnswer: 0.10326","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**2 + 21*v + 10. Calculate w(-11).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, k: 9, u: 4, c: 2, y: 3}. Give prob of picking 1 p, 1 c, and 1 y.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dv when two letters picked without replacement from mmvivmvvdddvv.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34987.\nAnswer: 59, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-166*m**4 + 446*m**4 - 218*m**4)*(-2 + 0*m + 3 - 2*m).\nAnswer: -124*m**5 + 62*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 5*k - 57 = -87, 5*v - 2*k + 35 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 + 62*q - 64 + 9*q - 31*q - 34*q.\nAnswer: 6*q - 88","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -49339 or -49338?\nAnswer: -49339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1.5320646us?\nAnswer: 0.00000002553441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32 - -28. What is the common denominator of 1030\/225 - o\/18 and 5\/7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*(q**(-23)\/q)\/q*q*q*q**(-23)\/q assuming q is positive.\nAnswer: q**(-46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 5949419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 362607*j + 316734*j + 154998*j + 352431*j.\nAnswer: 1186770*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2, 0, -12, -34, -66?\n\"Answer: -5*j**2 + 13*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158232 is divided by 1054.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0516 - 486.9484. Let r = 492 + n. What is the closest to 0 in r, -1, 0.05, 0.1?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/26 - 0\/11. Let t = -1.676 - -1.776. Which is the nearest to -3? (a) m (b) -2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(0 - 3))\/1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1199\/59452 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1742400 and 681714.\nAnswer: 2178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 0.4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -149 - -1aa?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 322397123 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 0. Suppose w = d - 2 + 7. Suppose 2*m - 2 = 3*c, -130*m = c - 125*m + 29. Is d at least c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of v**4\/4 - 10*v**3\/3 + 6*v**2 - 4*v + 1. Suppose 3*t = -q + 3*q - 21, -t + 35 = 4*q. Is h(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0162 - -0.3162. Which is the nearest to 6? (a) -6 (b) v (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7563 by -2.\nAnswer: -7563\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of -529*g**5\/10 + 207*g**4\/2 - 32*g**3 + 4*g**2 - 403*g. Factor p(m).\nAnswer: -2*(m - 1)*(23*m - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 6 = j. Let r = j - -11. What is the greatest common factor of r and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 + 4 - (-3 + 0). Suppose -11*g + f*g = -48. Let s(y) = -3*y**3 + 2*y**2 - 5*y + 5. Let m(c) = 4*c**3 - 3*c**2 + 6*c - 6. Determine g*s(x) + 5*m(x).\nAnswer: 2*x**3 - 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 + 80*h - 1426. Determine p(26).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -252598181 take away -0.01?\nAnswer: -252598180.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -11\/12186, -0.2, 0?\nAnswer: -11\/12186","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1501746810?\nAnswer: 2, 3, 5, 857, 58411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 691.9927cm?\nAnswer: 0.006919927","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(-20))\/(7\/(-5)). Let a = -214 + 217. Sort s, a, -1\/3, -4 in ascending order.\nAnswer: -4, -1\/3, s, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 1043*p - 28. Let c(y) = 37*y - 1. Let g(f) = -84*c(f) + 3*n(f). Let z(b) = -2 + 2 - 6*b**2. What is z(g(w))?\nAnswer: -2646*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + 1. Is f equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70254.16 nanograms to tonnes.\nAnswer: 0.00000000007025416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 922 and 171953?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177945?\nAnswer: 3, 5, 11863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6234 + 6234. Let l(u) be the second derivative of c*u**2 + 0 - 7\/6*u**4 + 3*u - 1\/6*u**3. Find the second derivative of l(a) wrt a.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 - 0. Let a = -0.0124142 - -16.0108642. Let t = m + a. Round t to four dps.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 371*n + 106. Let s(m) = 80*m - 1. Determine f(c) - 5*s(c).\nAnswer: -29*c + 111","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of -m**4\/6 - m**3\/2 - m**2\/2 - 20*m - 1. Determine x(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/7 - 696*d\/7 - 1152.\nAnswer: -2*(d + 12)*(d + 336)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3163, 2439, 281, -4091, -11457, -22597, -38291?\nAnswer: -59319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one eighths of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -466*j + 4604 = 22312 for j.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 51 + 23 = m, -11*m - 3*j + 710 = 0. Is 316\/5 <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 + -11. Let y = 75 - r. Suppose 14*i - 21*i + 189 = 0. What is the remainder when y is divided by i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 58 - 52. Suppose -j*s - 1 + 25 = 0. Solve -17 = -s*u - 5 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 105\/88 and -15\/2024288.\nAnswer: 22267168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -128*l**5 + 3364*l**4\/3 + 1885*l**3\/3 - 10100*l**2\/3 + 1763*l - 18 = 0. Calculate l.\nAnswer: -2, 1\/96, 3\/4, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/36 + 4\/(-18). Suppose 2*l - 3*b - 64 = -4*b, -3*b + 6 = 0. Let x be 18 + -25 + l\/5. Which is bigger: f or x?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.04 + 0.36. Let z = -6.6 - -4. Let g = l - z. What is the second smallest value in -5, 2\/3, g?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-26)\/16 + 7\/7 + 1. Sort -3\/2, j, 2 in increasing order.\nAnswer: -3\/2, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9757647 (base 10) in base 11?\nAnswer: -5565079","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-9) - 100\/(-36). Let c be (-140)\/(-21) - (-1)\/g. What is the highest common divisor of 28 and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of -h**4\/32 + 3*h**3\/8 - 27*h**2\/16 - 8*h + 8. Let b(k) be the first derivative of m(k). Factor b(j).\nAnswer: -3*(j - 3)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 129231*j. Let f(k) = -7*k**2. What is f(d(s))?\nAnswer: -116904559527*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3371456 (base 8) in base 12?\nAnswer: 381092","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 87.3.\nAnswer: 43.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*a + 5*u, 9*u + 3 = a + 4*u. Let v be (1 + 0 + 3)*1. Suppose a*g = v*z + 34, 32 = 3*g + g - 2*z. Let q(i) = i**3 - 6*i**2 - 2*i + 7. What is q(g)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 731?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3 + 2.7. Let i = -29797 + 148153\/5. Let p = -166 - i. Which is the third smallest value? (a) l (b) p (c) -0.1 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -786862.22 - 4?\nAnswer: -786866.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 0*c = c - 16, -2*c + 12 = 3*b. Let p = -4 + 3. Let s = 0.73 + -1.73. What is the closest to p in b, -2\/5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*g + 39*g - 34628. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22594788 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*h - 13*h + 21 = 3*l, -h = 3 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 334314634?\nAnswer: -334314626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.6 minus -3929.6?\nAnswer: 3974.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1269606 is divided by 302?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-61 - -90) + -45 + 3 + -55.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 2083.5202 to the nearest 100.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssws when four letters picked without replacement from swwswsswsswwswww?\nAnswer: 9\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r**5 - 55*r**4 + 130*r**3 - 10*r**2 - 125*r + 65 = 0 for r.\nAnswer: -13, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -853*p**5 - 8*p - 9. Let g(t) = 852*t**5 + 8*t + 9. Let o(y) = 6*c(y) + 7*g(y). Find the second derivative of o(m) wrt m.\nAnswer: 16920*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2 + 2\/3 + 2*q + 2\/3*q**3.\nAnswer: 2*(q + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -51 - -51.3. Let o be (-1)\/1 - (-4 - -2). Which is the nearest to 1? (a) -4 (b) o (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/2046 and 89\/318.\nAnswer: 108438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 212569?\nAnswer: 7, 30367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.04, -9.9, -1, -153?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5\/3 - -2. Let o = 6 - 3. What is the biggest value in o, 4, m?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 1373394867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -26470973*a + 18597020 with respect to a.\nAnswer: -26470973","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 167, 170, 173, 176, 179, 182?\nAnswer: 185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*g + 5*g - 0*g. Suppose g = 9*o + o - 180. Solve 0 = 2*k - 5*v - 14, v = 4*k - 4*v - o for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7640*l - 6769*l + 1167129 for l.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 4*x + 1, -5*x + 0 = -5*s + 5. Let y = x + 0. What is the nearest to y in -0.4, -5, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7 (b) -37 (c) -5\/2 (d) 7193\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m + 9. Let p(u) = -4*u - 10. Let v(n) = -n - 3. Let q(z) = p(z) - 2*v(z). Let t(c) = c - 16. Let b be t(11). What is b*q(j) - 2*o(j)?\nAnswer: 4*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.1 + 3. Let d = 971 - 974. What is the nearest to d in o, -0.5, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*(-18)\/24)\/((240\/32)\/5).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -20987, -301, 1.\nAnswer: -20987, -301, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/10095, -0.14, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -123088, -123330, -123572, -123814?\n\"Answer: -242*k - 122846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -3*r**3\/2 - 11*r**2\/2 - r. What is the tens digit of w(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 25030\/7, -2\/9, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 0.5, -0.1, -24\/115?\nAnswer: -24\/115","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 18233 (b) -3 (c) -20\/21 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 568 + -542. Suppose -a = 5*l - o, -36*l = -38*l - 5*a + 15. Are 70\/13 and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -3*q + 1. Let j = -34 - -31. Let o(z) = 6*z - 2. What is j*o(b) - 5*n(b)?\nAnswer: -3*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*y**2 - 57*y**2 + 3*y**2 + 11*y**2 + 14*y**2 + 7*y**2.\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -4*k - 3. Let g be f(-2). Let j(h) be the third derivative of 1\/120*h**g - 1\/12*h**3 - h**2 + 0 + 0*h**4 + 0*h. Factor j(u).\nAnswer: (u - 1)*(u + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = -12, -b = z - 6*z - 31 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 3:12 PM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5314 to the power of 1\/2, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-five quarters of a litre?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3415.2394 + 3413. Let g = 2.66 + j. What is g rounded to 2 dps?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 1 = x. Let h(i) = 2*i**3 + 7*i**2 + 8*i - 6. Let s be h(-4). Let q = 56 + s. Solve 0 = 3*z - z + 4*l + 4, 11 = -q*z + x*l for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 241, -3, 1\/22, -94?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a decade in months?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.4 (b) -2 (c) 0.7 (d) 5163\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/4 (b) -64.68 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.14 + 0.38. Let t = u - -0.06. What is the second biggest value in 1\/2, t, 4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 25998*p + 6629459. What is a(-255)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-35)\/21 - (-14)\/21)*-4. What is the closest to -1.75 in z, -3\/7, -6\/11, 3?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 19) + 18 + -11\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.5, 0.1, 4, 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2828 - -2829. Which is the second biggest value? (a) -0.033 (b) 1\/3 (c) -2\/7 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 7:56 PM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((56\/448)\/(925\/(-666)))\/((-6)\/(-16) - 0).\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3430893144.\nAnswer: 2, 3, 7, 131, 155893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4 = 2*l + 2*l, -4*j + 5*l = 5. Let u(d) = -d**2 + 9. Let g be u(3). Does g = j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2013349\/59 - 34129. Let i = l + 5224\/1947. Calculate the common denominator of -37\/102 and i.\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*n**4 - 150*n - 13*n**6 - 60*n - 6*n**2 + 5*n**2 - n**6 - 17*n**6 wrt n.\nAnswer: -3720*n**3 + 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11464117 and 2072?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + (sqrt(7) - sqrt(175)))*1*2.\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8766 = 6*r + 9*r + 42441. Is -2246 greater than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ngngggg. What is prob of sequence gnn?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + a**2 - a + 3. Let d be j(0). Let f = -22\/45 + 4\/45. What is the second smallest value in d, f, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.11 - -0.31. Let l = 4 + v. Let q = 1.1 - 0.1. Which is greater: l or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 47677?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -2927399 smaller than -2927399?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -645789*y**2 - 499*y + 5 wrt y.\nAnswer: -1291578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -278*l - 22*l = 218*l - 8806 for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33 - -37. Let g = 2.1 - 2. Which is the smallest value? (a) g (b) -2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 22 - 20 + 85*w**3 - 97*w**3.\nAnswer: -12*w**3 - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m**3 + 94*m**2 - 947*m - 40855. What is y(-48)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4270 divided by -10?\nAnswer: -427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*m**5 + 132*m**4 + 1225*m**2 wrt m.\nAnswer: 120*m**2 + 3168*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 38604, 38595, 38572, 38529, 38460, 38359, 38220, 38037?\n\"Answer: -u**3 - u**2 + u + 38605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1665*t - 1680*t + 3216*t + 3225 = 0 for t.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -319001, -319000, -318999?\nAnswer: -318998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -22 - 3 - ((56 - 69) + 28)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, a: 1, i: 1, s: 2, e: 1}. What is prob of sequence sfe?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m - 5. Let h(i) = i - 2. Let z(d) = -5*h(d) + 2*v(d). Suppose 0 = -3*y + 15 - 3. Let a(s) = 2*s - 5*s - y*s - 2*s. Determine a(z(g)).\nAnswer: -9*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16.5 + -16. What is the closest to -2 in 1\/4, -0.1, l?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8188829?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 0.854, -3\/5 in increasing order.\nAnswer: -3\/5, -1\/4, 0.854","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/(-4) - -1)*(-23482)\/8700. Let o = 59\/348 - z. What is the common denominator of o and -83\/14?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 78?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.76529 kilograms in grams?\nAnswer: 39765.29","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 e when two letters picked without replacement from eereyyrrreruhykyhrk.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 108 and 108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 55128, 440909, 1487984, 3527001, 6888608?\n\"Answer: 55108*w**3 - w**2 + 28*w - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(1053))*-4)**2 + (1*-1*sqrt(13) - (sqrt(832) + 0)).\nAnswer: -297*sqrt(13) + 16864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42405 (base 7) to base 14.\nAnswer: -3b75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22100 is divided by 165?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 469848 to the power of 1\/2, to the nearest integer?\nAnswer: 685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-4\/3)*(g**1*g*g)\/g*g)\/(g\/(g**1\/g))**(1\/12))\/((g\/(g\/(g\/(g*((g*((g\/g**(2\/13))\/g)\/g*g)\/g)\/g)))*g)\/g**(-6))**(-6\/11) assuming g is positive.\nAnswer: g**(10349\/1716)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(5) + -5)**2*3.\nAnswer: 60*sqrt(5) + 135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/3*2)\/((-38)\/171).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-2))\/((-3)\/18). Suppose -m*v + 36 = -v. Suppose 3*k + 2*k + 2 = -3*y, 2*y = 5*k - v. Solve -2*x - k = -0*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14463 + 4?\nAnswer: 14467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 5*o = -60. Let k(j) = -j**3 - 27*j**2 - j - 24. Let q be k(-27). Is q\/12 + 2217\/o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 4:58 PM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)\/(sqrt(42)\/sqrt(6) + sqrt(7)))**2 + sqrt(52)\/(sqrt(8)\/sqrt(2)).\nAnswer: 13\/4 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5262761 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 4 + 0 + 6 + 8*l**3 as p*l**3 + c*l + y + z*l**2 and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 74*r - 1 - 74*r + 56*r**2 as w*r + k + d*r**2 and give d.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 46, -28028, -0.3?\nAnswer: -28028","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*o + 5*o - 831 + 223 = 0 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2114 (base 7) to base 15.\nAnswer: -34b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1454\/18 - 12\/(-54). Let h = 12 + m. Let t = h + -59. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(425)*-6 + 0 + (2*sqrt(425) - sqrt(425)))**2.\nAnswer: 51425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4172178007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 5*a - 0. Which is smaller: a or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -208 >= 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 10:49 PM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or -91261057?\nAnswer: -91261057","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3427, 3604, 3771, 3922, 4051, 4152, 4219, 4246?\n\"Answer: -m**3 + m**2 + 181*m + 3246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -8*l**2 + 48*l + 49. Determine h(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*c - 4103 = 327*c. Suppose 4 - 51 = 5*z - w, 2*z + 26 = -2*w. Is c < z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14074676*s - 14074800*s + 28149474*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/3486 and 41\/10224.\nAnswer: 5940144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 11. Suppose 5*a = -25, -d + 0*d + 48 = -k*a. Does 11 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -51072 and 7.64.\nAnswer: -51064.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6*((-3)\/6)\/1. Let m(a) = -a. Let c be m(o). Find the second derivative of -3 + c + 5*t**5 - 2*t wrt t.\nAnswer: 100*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27 and 2088.\nAnswer: 6264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, 0, -697, 2, -12, -5, 61 in descending order.\nAnswer: 61, 2, 0, -3\/7, -5, -12, -697","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 15*l**2 + 6*l - 8. Let n(b) = -b**3 - 11*b**2 + 10*b - 17. Let t be n(-12). Is h(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1522 in 0, -5, 3\/2, -4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 156 and 273?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -26517381, -53034767, -79552153, -106069539?\n\"Answer: -26517386*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2. Let c(r) = 486*r**2 - 5*r. Let i(d) = c(d) + 5*t(d). What is the second derivative of i(b) wrt b?\nAnswer: 982","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12\/10)\/((-9)\/(-60)). Find the third derivative of -4*u**2 - u**3 + 8*u + 3*u**2 - y*u wrt u.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/5, 4\/5, 36, -0.4, -8?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 581664.33us in hours?\nAnswer: 0.000161573425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 966731.7 kilometers in micrometers?\nAnswer: 966731700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -125864, 2\/67, 7\/3 in decreasing order.\nAnswer: 7\/3, 2\/67, -125864","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - (-1)\/(0 - 1). Let z be 3 + h + 5\/5. What is the greatest common divisor of 16 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 - l - 4. Let h be i(0). Let v be (-44400001)\/h - (-1)\/(-4). What is v rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 322717161?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -5*d**2. Let m(y) be the third derivative of y**5\/60 - 5*y**2. Determine m(o(n)).\nAnswer: 25*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-18))\/((-3)\/((-9)\/(-4)))?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160615899.\nAnswer: 3, 761, 7817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -97, -194, -275, -334, -365, -362, -319, -230?\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 209352.5 rounded to the nearest 1000?\nAnswer: 209000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -836388*k**3*u**2 + 3*k**2*u + 8*k*u - 6*k - u**2 - 22 wrt k.\nAnswer: -5018328*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + 21*y**2 + 19*y - 26. Let c be w(-20). Let v(x) = -2*x**2 + 2*x + 1. Let f(u) = 3 + 7*u + 1 - 8*u**2 + u**2. Determine c*f(l) + 22*v(l).\nAnswer: -2*l**2 + 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1660?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -49, -91, -133, -175?\n\"Answer: -42*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 100, 100, 102, 106, 112?\n\"Answer: j**2 - 3*j + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than 13.939577?\nAnswer: 12.939577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 504 - 519 = -3*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*4\/(-16))\/((-66)\/(-16)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.98 - -0.02. Let j = 0.05166 - 5.051644. Let o = j + q. Round o to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 - -0.1. Let j = -14 + 16.8. Let x = j - 3. Which is the third smallest value? (a) 0.1 (b) x (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 575? (a) 49\/22 (b) 2 (c) 0.11 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.2295 rounded to zero dps?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 179\/60 and -109\/9973344.\nAnswer: 49866720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -l - 4*t, 40 = 4*l + 4*t - 0*t. Suppose 0 = v + 3*y, 0*v + 3*v = -y + l. 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 remainder when 31082 is divided by 227?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of -o**2\/2 - 3. Let u be m(-4). Solve 24 = 3*j - u*r - 2, -3*r = -j + 17 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) + (sqrt(143) - (sqrt(143) + sqrt(143)*2*-2 + sqrt(143))) + sqrt(143))\/sqrt(11) + -3.\nAnswer: -3 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 28 - 6. Let j = -8 + k. Calculate the remainder when 25 is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4*3\/12)\/(1\/(-3)). Differentiate 6 + 7*p**r - 17*p**3 + 22*p**3 with respect to p.\nAnswer: 36*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s + 4. Suppose l = 2*o + 325, 3*l - 490 = 3*o - l. Let j be (o\/(-2))\/3 - -1. Suppose 3*x = 2*f - 0*f - 21, -f + j = -5*x. Calculate v(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.04 + -0.94. Let v = -2.6 - -2.2. Let r = h - v. Is 0.1 at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vcccccvvcvccvcvccc. What is prob of picking 3 c?\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 54915.16ml in litres?\nAnswer: 54.91516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07674515 rounded to three decimal places?\nAnswer: 0.077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -13*m + 83. Let c(l) = 15*l - 85. Calculate 6*c(g) + 7*d(g).\nAnswer: -g + 71","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*m**5\/7 - 48*m**4\/7 - 8*m**3\/7 = 0. What is m?\nAnswer: -2, -2\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 392 = 4*h, -478 = -4*y - y + 2*h. Suppose j - 3*d - 35 = 0, -y = -3*j - d - d. Suppose -j = -3*x - 8. Does 8 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ozzozo. What is prob of sequence zoo?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-5 + -6*sqrt(833) + sqrt(17)*2*6*-6))**2.\nAnswer: 18240*sqrt(17) + 3535312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 6:22 AM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yfwwuhhhfyuyofwy. Give prob of picking 1 o and 2 y.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/sqrt(63)*-6.\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0*(-1)\/(-2))\/(-2). Let m be -11*((-1 - 0) + g). Suppose m = 3*u - 64. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -3, -0.077, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*(-2)\/(-12))\/(((-931)\/28)\/(-19))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 20 = -18*q + 14*q, -5*p + 2*q = -18. Let s = -1 - -4. Suppose 0*k + 12 = s*k. What is the greatest common divisor of p and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27265237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (6 + 1 - -10 - 3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 4 = -4*a. Let b be 0 + (24\/(-27))\/a. What is the second smallest value in b, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 570\/(-2)*3\/(-45)*6. Calculate the greatest common divisor of 6 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -10, 241 = 5*n + 3*r - 764. What are the prime factors of n?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3*g + 17291 = 101230, -5*g = 25. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 1\/2 (b) -2\/123 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -496 + 1242a?\nAnswer: 11a44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37*d**5 - d**3 + 6*d - 35 - 128*d**5 + 16*d**5 wrt d?\nAnswer: -1500*d**3 - 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 68 - 20 = 0. Suppose 20 + d = 7*u. Suppose 3*h = 4*w - 337, -u*h = -5*h - 3. What are the prime factors of w?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + (0 + 3 + (0 - 1) - (18 - 9))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21.98 - -20. Let i = t - 0.02. Let k be (-10)\/(-45) + (-3 - (-1 + (-19)\/9)). Which is the third smallest value? (a) i (b) -0.2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11 + 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 121e7 (base 16) in base 9?\nAnswer: 122721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**4\/5 + 150*u**3 + 88488*u**2\/5 + 290752*u = 0 for u.\nAnswer: -77, -20, 0, 472","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 978 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1441 is divided by 76.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -9 - 7. Let i = o - 12. Suppose 0 = -37*m + 77*m + 80. Sort m, i, 5.\nAnswer: i, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 136171, 544663, 1225475, 2178601, 3404035, 4901771?\nAnswer: 6671803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9.3? (a) -181 (b) -2\/13 (c) -0.076 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 4323?\nAnswer: 4333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -14*r**2 - 4*r + 7. Give t(4).\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y**3 + 4*y**3 - 2*y**3 + 4*y**3.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4246)\/(-965))\/(-8 + (-190)\/(-25))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36407.36 days to hours.\nAnswer: 873776.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 314 and -2.\nAnswer: -628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 + 4*c - 69. Let l(r) = -r**2 + 5*r - 83. Let o(n) = 5*l(n) - 6*s(n). Let h(a) = -34*a**2 + 4*a - 5. Give h(f) - 3*o(f).\nAnswer: -37*f**2 + f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5303 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1aa + 21730?\nAnswer: 218da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 5*d = 22, 0 = -5*t - 5*d - 3 - 12. Let l = 44 - 39. Suppose -5*v + 33 = 4*s, -5*s - l*v = -3*v - 20. Solve -c = -s*c - t for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of a*c + 945*a - 2980*c - 5 wrt c.\nAnswer: a - 2980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5 + (5 - (-3)\/(-79)). Is 0 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -394, -725, -1056, -1387?\nAnswer: -1718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 PM and 7:42 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12221 + 2022121220?\nAnswer: 2022211211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -14624416 (base 7) to base 16\nAnswer: -156214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - s - 2. What is l(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -313612.\nAnswer: 1\/78403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 59503 and 7580?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49983023?\nAnswer: 89, 561607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(2736) + 2 + sqrt(2736) + 1 + 0 + -1*sqrt(171)*5*-6)**2.\nAnswer: 456*sqrt(19) + 246928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 0.03487807007.\nAnswer: -3.03487807007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -2, 51.\nAnswer: -3, -2, 1, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145435066.\nAnswer: 2, 7, 127, 157, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*z - 6 + 2*z + 37*z + 93*z + 52*z + 24*z.\nAnswer: 227*z - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -583, 7 in ascending order.\nAnswer: -583, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -219624*s**3 - 219634*s**3 + 1098141*s**3 - 219629*s**3 - 219622*s**3 - 219631*s**3.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 g when two letters picked without replacement from {r: 2, x: 5, j: 1, g: 7, v: 1, n: 1}.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -1.7 (b) 2\/5 (c) -4 (d) -146 (e) -11739\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 - 17. Suppose 0 = 2*p - w - 10 - g, 4*p + 1 = -5*w. Solve -n = -p*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -10, -0.15, -262?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 130? (a) 0.1 (b) -5 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 39870810 rounded to the nearest ten thousand?\nAnswer: 39870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 120\/(-80)*4\/(-30)*7.\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-2) - (-99)\/126.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -1846*p - 9. Let k(x) = 921*x + 4. Calculate 3*c(h) + 7*k(h).\nAnswer: 909*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*v + 55 + 704 = 10*v for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 - 11*j + 16. Let w be q(12). Suppose 0 = 3*g - 4*x - w, 2*g + 2*g = 3*x + 35. Solve -z + 11 = -5*a, 3*a + 25 - g = -2*z for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -165 <= -93?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 5*d - 1326 = -1566, -31*w + 4*d = 25 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -69, -114, -171, -240?\nAnswer: -321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 287 is divided by 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 6 + 9 + 11 + 15 + n.\nAnswer: n + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 52627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 2)*(2 + -1 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57649877312700 - 0.04.\nAnswer: -57649877312700.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of -43*h**6\/60 + h**5\/20 + 1921*h**3\/6 - 2831*h**2. What is the first derivative of c(a) wrt a?\nAnswer: -258*a**2 + 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2295, -2297, -2301, -2307?\n\"Answer: -k**2 + k - 2295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yc when two letters picked without replacement from kivyc.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 5 and 58659754332.\nAnswer: 58659754337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 5:28 PM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 8 + 8. Suppose 2*f - 4*s - 54 = 0, -65 = -5*f - w*s - 0*s. Does 7 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51218388.\nAnswer: 2, 3, 13, 109441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1303 - 4?\nAnswer: -1307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 42.91 - 37.8. Let q = i + -4.51. What is the closest to -0.2 in q, -4, -3\/8, -2?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 226.662 to the nearest ten.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/(-847))\/((-2)\/42)*-1?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f - 4*f**2 + 6*f + 0*f**2 + 2*f**2 to the form i*f + v*f**2 + u and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 384159 to the nearest integer?\nAnswer: 620","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q*q*q*q\/q**(-1)*q*q)\/q*q**(-6)\/q*q**(2\/17)*q\/(q\/q**5))**(4\/23) assuming q is positive.\nAnswer: q**(416\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum -9.1 and 5.334.\nAnswer: -3.766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 985.2.\nAnswer: -295.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -4*s - 49. Let r = s + 142. Does 27 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**5 + 2 - 8 + 4 - 3*m**5 + m**4 - m**4 + (-2*m**3 - 17*m**3 - 2*m**3)*(-m**2 + 2*m - 2*m) + m**3 - m**3 - m**5.\nAnswer: 19*m**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 9*s**2 - 17*s. Let l(p) = 4*p**2 - 8*p. Let i = 209 + -202. Let h(z) = i*l(z) - 3*m(z). Let u(t) = -2*t. Calculate u(h(x)).\nAnswer: -2*x**2 + 10*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -121, -355, -513, -595?\n\"Answer: 38*n**2 - 348*n + 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24260, -24256, -24252, -24248, -24244, -24240?\nAnswer: -24236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10040413 + 2?\nAnswer: -10040411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1889948121 a multiple of 187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 0*q + 11 = -4*q, 0 = 5*m - 3*q - 55. What are the prime factors of m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17793?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78)*-1*-6)\/(-4*sqrt(18)\/sqrt(3)))**2 - ((-5 + 3*sqrt(13))**2 + 1*sqrt(13) + 0).\nAnswer: -451\/4 + 29*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 2*t - 32 = 0, 4*f + f + 50 = -5*t. Let m = f - -42. Is 18 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38\/(-24) + -33 + (-4268)\/(-132)?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 32 + 44*r - 32 + (-2*r + 3*r + r)*(-2 + 0 + 1) - 4*r - 2*r + 4*r + 5*r - 2*r + 6*r.\nAnswer: 49*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffqqqq. What is prob of picking 1 f and 2 q?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-46)*(-10)\/225*9\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (-8 - -5)) + -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12296385?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - 16*a**2 + 20*a - 32. Let j = 80 - 65. What is the units digit of u(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 3:36 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 23*j**2 - 11*j - 25. Let v(r) = -12*r**2 + 6*r + 13. Let o(c) = 6*k(c) + 11*v(c). What is the first derivative of o(w) wrt w?\nAnswer: 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.5 + -0.5. Let s = 4336 - 82386\/19. Let m = -1051\/5 + 211. Which is the third biggest value? (a) s (b) m (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20\/75*-3*(-180)\/8 and 24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 AM and 3:21 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -88692? (a) -20 (b) 9\/4 (c) 0.3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -8 (b) -1\/11 (c) 3\/28 (d) -17 (e) -5 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-3)*(-18)\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 370713889.\nAnswer: 7, 13, 127, 32077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**26*n)\/(n\/(n**(-6)*n)))\/(((n**(4\/9)*n)\/n)\/n**(1\/35)) assuming n is positive.\nAnswer: n**(6799\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 38*r**2 - 32*r - 48. Let g(z) = 7*z**2. Let n(t) = d(t) - 6*g(t). Factor n(y).\nAnswer: -4*(y + 2)*(y + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -259040 to the nearest ten thousand.\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/4*(10 - 6) - -1. Suppose -k*n = 60 - 182. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 198 divide 404514?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1)\/(-1) - (-25 + 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81194 is divided by 606?\nAnswer: 596","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-484)\/77)\/11 + (-681)\/(-126). Is d greater than 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -12. Let y be (-14)\/z + (-3)\/(-2). Suppose 3*h = 8*h - 20. Is h equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 671278 and 29.\nAnswer: 671307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1569 and 17175?\nAnswer: 8982525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2166.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 0.3 (b) -1\/12 (c) -11\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 352655 and 2761?\nAnswer: 3879205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6728, -26917, -60512, -107471, -167752?\n\"Answer: 7*l**3 - 6745*l**2 - 3*l + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-2 + sqrt(2))**2 - sqrt(2) - (-3 + sqrt(18))**2 - (sqrt(10)\/(-1*sqrt(5)*-3 + sqrt(5) - sqrt(5)) + -2).\nAnswer: -19 + 38*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - (0\/(-2) - 2). Suppose n = x*h - 3*n - 53, -4*n = -h + 1. List the prime factors of h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1893971 to the power of 1\/2, to the nearest integer?\nAnswer: 1376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-6)\/a)**(-1\/29))**(-1\/8))**33 assuming a is positive.\nAnswer: a**(-231\/232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 877523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 22 = 4*y, -5*y = 2*p + 16 + 5. Let i(q) = -2*q + 12 - 15*q**2 + 5 - 12*q + p*q**3 - 3*q**3. What is the units digit of i(-14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 630\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5243515 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of -17*v**6\/20 + 5*v**4\/24 - 1113*v**3\/2 + 84*v**2 + 10. Find the first derivative of m(b) wrt b.\nAnswer: -306*b**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/299 in 55\/4, 2\/11, -2\/7, 1\/5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 8302973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*a - 17*a + 3011*a**2 - 1470*a**2 - 1566*a**2.\nAnswer: -25*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 783654019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1135772 and 37433?\nAnswer: 913","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of y**6\/6 + 269*y**5\/4 + 40495*y**4\/4 + 3762475*y**3\/6 + 3524845*y**2 - y - 30. Determine c, given that l(c) = 0.\nAnswer: -89, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.07 (b) 0.1 (c) 3 (d) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*d + 30*d + 45*d = -28. Let l(i) = -2*i**3 - 7*i**2 - 4*i - 5. Determine l(d).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19050 divided by 3175?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + 2*y - 9. Let f be n(4). Let h = -12 + f. Solve -4*k - 5*v = -5, -4*v + h = k - v for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + r - 2*r)*(-5 - 2 - 2)*(1 + 4 - 11).\nAnswer: -108*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 963\/(-495))\/(7\/(-35))\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 (base 10) in base 7?\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 2*h + 49. Let z be -3 + h - 3 - 3. Let r(q) = -q**2 - 17*q + 3. Let s be r(z). What is the greatest common divisor of s and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1137*m - 632*m = 605*m - 700 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by -176524\nAnswer: 5\/88262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 5*u = 125, 2*r - 3*r + 5*u = 0. Let n be 6\/25*r\/(-10). Which is the second biggest value? (a) n (b) -1\/12 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75a4b9 (base 12) in base 15?\nAnswer: 26c236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t**5*t*t)*t**3*t)**(1\/15) assuming t is positive.\nAnswer: t**(-1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -3. What is the derivative of 11*w - d*w - 4*w - 2 wrt w?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 17 = 37. Suppose 4*f + 24 = n*f. Let k be (3 - 1) + -5 + 1. Put f, -10, k in decreasing order.\nAnswer: f, k, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o**3 - 4*o + 38*o**2 + 4*o - 93*o**2 + 2*o**3 + 23*o**2.\nAnswer: -3*o**3 - 32*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 + 6*l**2 + 13*l + 10. Give y(8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/(-4) - -3) + 4. Suppose -r + 5*p + 17 = r, 3*r = -l*p + 38. Let k(v) = -2*v - 6. Let s(b) = 3*b + 11. What is r*k(d) + 6*s(d)?\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 266 + -5584\/21. Let g = 6 - 2. Let y = -287 + 284. Sort l, g, y.\nAnswer: y, l, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-390)\/(-20)*80\/3. Suppose 0*k + u = -4*k. Is (-4)\/(-26) - 12460\/k a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 4*s = 27, w = s - 4*s + 26. Suppose w = 4*q - 161. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(539) + -5 - -3*(sqrt(539) + 0) - (sqrt(539)*-2*-2 - (2 + (sqrt(539) - (1 + sqrt(539))) - sqrt(539)))) + 2)**2.\nAnswer: -28*sqrt(11) + 543","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z**2 - 5*z**3 + 0*z**2 - 2*z**4 + 31*z - 29*z to v*z**4 + u*z**3 + b*z + k + s*z**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*k + 1730 - 3336 + 1606 - k.\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 56*t**2 - 68*t + 125. Determine n(3).\nAnswer: 425","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1297834 - 12?\nAnswer: -1297846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 1065*y**2 - 3140*y**2 + 3.\nAnswer: -2075*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 120041325 and 5400?\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40752803?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a kilometer in centimeters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 + o - 5. Let g(j) = -2*j**2 - 2*j + 6. Let f(i) = 2*g(i) + 3*m(i). Let t = -45 - -42. What is f(t)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2866667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*w**3 + 440*w**5 - 9*w**5 - 2*w**5 - 125*w**5 + w**5 - w**5 + 2*w**5 + (-2*w - 2 + 2)*(-w**4 + 2*w**4 - 2*w**4).\nAnswer: 308*w**5 - 5*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/133 and 6\/209.\nAnswer: 1463","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*v + 2*v + 110. Let s = v - 19. Suppose -9 = -f - 3*m, -s*f - 6 = f - 2*m. Which is smaller: 1.6 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 8577?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yydydddldldd. What is prob of sequence ly?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 - 7. Let k(w) = w**2 - 6*w - 5. Determine k(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of k**3 - 2192*k**2 - 9*k - 166791 wrt k?\nAnswer: 3*k**2 - 4384*k - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - h + 2)*(8*h - 9*h + 13*h)*((3 - 3 - 1)*(-h + 6*h - 3*h) + 0*h + 5*h - 7*h).\nAnswer: 48*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(1\/3)*l)\/l)**(-12\/5))**(-3\/19) assuming l is positive.\nAnswer: l**(12\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -15, -19, -11, 9?\n\"Answer: 6*p**2 - 22*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 + 7*g + 3. Let v(x) = 23*x + 7. Let k be v(1). Suppose 16 = 32*t - k*t. Give i(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 2 + 4 + 1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -286, -287, -288, -289?\nAnswer: -290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 23*h**2 - 144*h + 63. What are the prime factors of p(32)?\nAnswer: 83, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 301 = -3*b + 358, -3*d = -4*b + 61 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cof when three letters picked without replacement from vvovcfvfvccvvfvvvc.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*i**5 - 2481658*i**4 + 43963752*i**3 - 255279168*i**2 + 459508032*i + 153169056 = 0. Calculate i.\nAnswer: -177279, -2\/7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 10:03 AM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 2. Let p = -1 - -4. Let c(f) = -f**3 + 5*f**2 + 6*f - 5. Let m be c(6). What is the nearest to k in m, -0.1, p?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -3 + (0 - (-3 + (1 - 1))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 3*z + 64. Suppose -z = -2*w - 5*y, 0 = 3*y - 6*y. Suppose 3*f + 33 = 3*n, -2*f + w - 50 = -4*n. Calculate the greatest common factor of 3 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-x + 0*x + 3*x)*(0 - 1 - 2) + (-4*x + 3*x + 6*x)*(-1 + 2 - 2) to b + d*x and give d.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 50 = -5*l, d - 2*l = 2*d - 6. Let t = 6 - 3. Suppose -4*r = 3*f - 24, 2*f + f - t*r - 45 = 0. Calculate the lowest common multiple of d and f.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -4686*o - 2058. What is the ten thousands digit of m(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*g + 33*g + 3734 = -3863 for g.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -15\/7, 12, 1, -15, -0.5 in ascending order.\nAnswer: -15, -15\/7, -0.5, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2215?\nAnswer: 5, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(6\/(-4 + (-30)\/(-12))).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6128 and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2*p = 116, 7*p - 2*p = -u + 38. Does 31 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -0.099, -2\/51, 354.\nAnswer: -0.5, -0.099, -2\/51, 354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117*m = -21*m. Solve m = -19*w + 10*w + 54 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 + 2576 + 3*c**2 - 2589)*(1 - 12 - 4).\nAnswer: -60*c**2 + 195","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-2)*n*n**(-4)*n*n\/(n**(-5\/3)\/n)*n*n**1\/n assuming n is positive.\nAnswer: n**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cel when three letters picked without replacement from zzltetjjc.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4527293l to millilitres.\nAnswer: 452.7293","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 - 7*i + 3. Let g(t) = 3*t**2 + 15*t - 7. Let a(l) = 5*c(l) + 2*g(l). Let y be a(4). Let v = y - -8. Sort v, 1\/3, -1\/3 in descending order.\nAnswer: v, 1\/3, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-496*h**2 - 2 - 440*h**2 + 3 + 851*h**2)*(0*h - h + 0*h).\nAnswer: 85*h**3 - h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72732 is divided by 2284.\nAnswer: 1928","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -3*t + 2. Let f be o(3). Let n(c) = -49163*c - 3 - c**2 + 49154*c - 2. What is n(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5*(1 + sqrt(847)) - sqrt(847)) + (sqrt(847) - (0 + (1 + sqrt(847) - sqrt(847)) + sqrt(847) - sqrt(847)) - sqrt(847)) + sqrt(847))*-5)**2*-1.\nAnswer: -530275 - 16500*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 3 = r. Let x(q) = -2 + 2*q**2 + 3*q + 2*q**2 + 6. Is x(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 754478 is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60\/(-63)*-63*160\/8400.\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -17*r**2 - r - 1. What is q(-1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + 3 + -2 + sqrt(2) + -1 + 4*(sqrt(2) + sqrt(2) + sqrt(6)\/sqrt(3) + 1))*3.\nAnswer: 12 + 42*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1, -561, 1, 0, 0.06?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.28 + -5.72. What is the biggest value in -3, o, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000875088 rounded to 6 decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70972*n**2 + 2*n - 2*n + 70972*n**2 + n**3 - 4*n + 0*n.\nAnswer: n**3 - 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118471983 is divided by 212?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 89*i**2 - 13*i + 409. Let c(l) = 15*l**2 - 2*l + 65. Give 13*c(y) - 2*p(y).\nAnswer: 17*y**2 + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-8)\/(-10))\/(16\/40). What is the closest to t in 2, 1\/5, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5808 and 6792.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -1, -2\/5, -0.5, -26, 0.34, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 577.2775 grams to micrograms.\nAnswer: 577277500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132\/5 - 22\/55.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1940 + 1943. Factor 0 + 6\/7*h + 9\/7*h**2 + 3\/7*h**x.\nAnswer: 3*h*(h + 1)*(h + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*c + 6*c + 62*c as h + r*c and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -14*n + 17. Let g(h) = -2. Determine 2*g(w) + y(w).\nAnswer: -14*w + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-2 + (-5 - (-4 + -3)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -962*t**3 - 156 wrt t?\nAnswer: -2886*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q - 2*q - q - 5 + (2*q + q - 4*q)*(-3 - 1 + 2).\nAnswer: q - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 13 - 13 - 9 - -20\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-39)\/26)\/((-3)\/8). Suppose 0 = t*d - 5*w + 25, -d + 9 = 2*w - 1. Suppose d = -2*m + 6*m. Is 3\/5 >= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 + 2*r + 229. What are the prime factors of z(0)?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 55414 + -1?\nAnswer: 55413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4224 divided by 1056\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -3*y**2 + 16*y + 3. Give j(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27*b**4 + 542*b**3 - 3204234*b.\nAnswer: 324*b**2 + 3252*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72017 is divided by 454?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - 8*u**2 + 6*u + 5. Let i be a(7). Let w be ((-3)\/i)\/(21\/518). What is the highest common factor of 37 and w?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12345208579\/72 - 171455942. Let f = 5288 - x. What is the common denominator of 143\/24 and f?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - 10*w**2 - 10*w - 17. Determine i(11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*d - 2*d + 3*d)*(2447*d + 753*d - 34 + 34) in the form p + z*d + u*d**2 and give u.\nAnswer: -9600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25 - (-17 + 5) - 4) + -13.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 157836669*f*j - 169964533*j wrt f.\nAnswer: 157836669*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*o**2 + 7*o**2 + 7*o**2 - 17*o**2.\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 7 = -5. Let n = o + -11. Does n = -3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -887*d = -1047*d + 1384800. Is d >= 8653?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4*d - 35 = -4*b, -2*d = -3*b + 25. Solve -b*z + 2*z = 6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007385690249 to four decimal places.\nAnswer: 0.0074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h, 1 b, and 1 w when four letters picked without replacement from {k: 1, y: 1, h: 2, w: 1, b: 5}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8\/3 of a week?\nAnswer: 26880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 4*j = -23, j + 24 = 16*n - 13*n. Let d = -14 - -35. Calculate the highest common divisor of d and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 3) in base 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-8))\/((1\/(-2))\/1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 p, and 2 b when four letters picked without replacement from alpgpgabbaab.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 2*u**4 - 918284*u**3 + 105402014874*u**2 + 843263870400*u + 1264912335000 = 0?\nAnswer: -6, -2, 229575","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 11*v**2 - 9*v + 14. Let r be l(-10). Suppose -j = r*j. Suppose -5*w - 5*z + 870 = -j*w, 4*z = 4*w - 656. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18109*m**2 - 84*m + 195 wrt m?\nAnswer: 36218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111779 is divided by 186?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = 11681*d - 11645*d. Calculate the highest common factor of 4146 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 3 - (25 + -28)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 605, 1397, 2373, 3521, 4829, 6285, 7877, 9593?\nAnswer: 11421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from ppppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 895 - 892. Let s = -8 + 16. Solve 0 = -2*f - s, -3*h + q*f = -f - 1 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 4 = 4*k, -3481*k + 3478*k = -3*r + 9 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -17. Suppose p = -s + 39. Let c = 12 + -3. Calculate the remainder when s is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*r + 14*r - 70*r + 33*r - 111*r.\nAnswer: -148*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 237223\/14 + 4 + (-30)\/12 + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5204720 by -43.\nAnswer: -121040","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.9 + -7. Let j = m - -6.5. Let l = -136 + 409\/3. Sort j, 0, l in increasing order.\nAnswer: 0, l, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = -3*x + 3*f, 4*x + 10*f - 38 = 13*f for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 - -0.1. Let p = 6319.1 - 6317. Which is the nearest to -2\/5? (a) i (b) 1\/2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 59 and 729.\nAnswer: 43011","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.5 - -2. Let u be ((-6)\/(-9))\/(2\/6). Let z = u - 2. Put z, -2, h in descending order.\nAnswer: h, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(99)\/(sqrt(36)\/sqrt(4)))*2.\nAnswer: -2 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 529618?\nAnswer: 2, 17, 37, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 521578773841.999999707 + -521578773160. Let r = 682 - a. What is r rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 837720 to the power of 1\/3, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -43, -112, -209, -334, -487, -668?\nAnswer: -877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*u + u + 0*u)*(-1 + 3 - 1) + 0*u + 0*u - 2*u + 2*u - 4*u + u + 0*u + u - 2*u)*(-4 + 4 + 1).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3, 26, 49?\n\"Answer: 23*m - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15517 + 2*t + 24709 + 40016 + 23672 - 17722.\nAnswer: 2*t + 86192","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15276969 and 779?\nAnswer: 779","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -20 - 1 - (-51 - (-67 + 8))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 5)*(-74*d + 74*d + d**2 + (2*d**2 + 2*d**2 - 5*d**2)*(-2 + 1 - 1)).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5592902926?\nAnswer: 2, 13, 215111651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 8:25 AM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2295 - 2292. Let v be 1\/1*3\/12. What is the second smallest value in c, v, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-6)\/(339218\/67848 - 5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 2*k - 32, -k = 2*p - 5*p + 23. Let s(h) = h**3 - 8*h**2 + 7*h + 6. Let w be s(p). Solve z = -u - 5, 2*z + w + 4 = -5*u for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 50725\/4 + -3246365\/256. What is the common denominator of x and 49\/44?\nAnswer: 2816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 242, 949, 2128, 3779?\n\"Answer: 236*c**2 - c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (170\/4)\/(2*7\/672)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -699972, -1399992, -2100012, -2800032?\n\"Answer: -700020*n + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -14424403 not equal to -14424414?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 5 + sqrt(396) + sqrt(396) + -1*(-2*sqrt(396) + sqrt(396)) + 5*(2 + (sqrt(396) - (-1 + sqrt(396)))))**2.\nAnswer: 684*sqrt(11) + 3925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 4 = p. Let u be 74*(-57)\/42 - (-6)\/14. Let h = 100 + u. Sort -1, h, p in increasing order.\nAnswer: -1, h, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l - 15. Let q be p(9). What is the remainder when (-4)\/(-4 + q) + -2 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of -j**5\/60 + 4*j**3 + 98*j**2 - j. Determine a(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35118?\nAnswer: 2, 3, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus 40.964?\nAnswer: -41.464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j**2 - 54*j - 13. Let l be i(18). Let d(n) = -n**3 - 13*n**2 - 14*n - 21. Let y be d(l). Which is bigger: y or 162?\nAnswer: 162","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1082 divide 139172507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -42 + 5 + 255 + -194?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -24, -4, 10, -6.2?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -h**6\/360 - h**5\/90 + h**2\/2 - 3*h. Let d(u) be the first derivative of p(u). Factor d(o).\nAnswer: -o**2*(o + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1348065 + 2?\nAnswer: 1348067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 11 = -9. Suppose -c + 4*c = 3*m - 18, w*c + 10 = 0. Solve 2*b + k = -8, 0*b + 4*k = -m*b - 16 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -3*z. Let x(k) be the first derivative of -k**2 + 2. What is h(x(v))?\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2044002, 2044001, 2044000?\n\"Answer: -h + 2044003","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 33 and -424429630324.\nAnswer: -424429630291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/3 (b) -3\/352 (c) -1\/813\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -5*m + 4*u, 30*m + 3*u - 27 = 27*m. Let b(q) = -3 + 10 + 10*q + 7. What is the tens digit of b(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3 + 236*o**2 - 6552*o + 53136.\nAnswer: -2*(o - 82)*(o - 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2035 is divided by 108.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -14633, -14624, -14607, -14582, -14549, -14508, -14459?\n\"Answer: 4*r**2 - 3*r - 14634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, x: 1}. Give prob of sequence xtt.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 83 + 3*z - 25 - 9*z - 3*z wrt z?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 + 11*d + 14. Let b be z(-10). Let w = 0 - b. Is (4\/6)\/(w\/(-108)) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v + 4. Let y(r) = r - 1. Calculate 3*a(u) + 5*y(u).\nAnswer: 2*u + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9045083 is divided by 7414.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 6 - 2 - 20*o - o**2 - 22. Let d be x(-19). Suppose -a = -0*a + 5. What is the nearest to a in d, -2, -0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49901 - 9\nAnswer: 49892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -260177.048 minus 0.3?\nAnswer: -260177.348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppllptzzpulzlzzzz. What is prob of picking 3 l and 1 p?\nAnswer: 4\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + 29*t**2 - 37*t - 168. Give a(-30).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 117\/6220 and -87\/13684?\nAnswer: 68420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 671 + -499. Calculate the greatest common divisor of 258 and i.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -212 - -555. Suppose t = 5*i + 2*i. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31560429 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7991 divided by -111.\nAnswer: -7991\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94133518 is divided by 195.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -5*b - 72*b**2 - 7 + 5*b + 73*b**2 + 3*b. Let q be k(-5). Solve 0 = 2*o, -q*j + 7*o = 2*o - 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*l + 8*l - 876494 = 0. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70 + 40*m + 38*m - 117*m - 23 + 38*m - 47.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 + 21. Find the common denominator of k + 1\/(3\/83) and -19\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/14*6\/(-12). Put 19, c, 0.2 in descending order.\nAnswer: 19, 0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (3 + -3 - 4) + 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.914 less than 0.26?\nAnswer: -85.654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.65 - 30.85. Round r to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 774738 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3*a**2 - 7*a + 8. What is t(5)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 125 + -124.99885. Round i to four dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*(n**(-1\/13)*n)\/n)**(3\/7)\/(n**(9\/8)\/((n\/(n*(n\/(n\/((n*n*n*n*n**37*n*n*n)\/n)))\/n*n))\/n)))**(-22) assuming n is positive.\nAnswer: n**(358193\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -345*a = -343*a + 19 - 4 + 11 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - c - r - 33, -3*c + r = -26. Let v be (c - -3)\/(2 - 0). Suppose -4*l + 104 = v*f, f = -4*l + 2 + 6. Is 12 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-365310)\/(-492) + (27\/6 - 3) is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3063, 3374, -1813, -15246, -39673, -77842, -132501?\n\"Answer: -458*p**3 - p**2 + 3520*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 + -116.4?\nAnswer: -116.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 171*b. Let g(t) = 135444*t. Give q(g(z)).\nAnswer: 23160924*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**1\/n)**(-12\/7)*(n*n**(-3)\/n*n)\/n*n*n**(-3\/2))**(-2) assuming n is positive.\nAnswer: n**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6714 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 5618 divide 2700984549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -3. What is the nearest to 0 in b, -0.5, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -38\/7, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37292677\/11 - 3387795. Let a = z + -2446. Find the common denominator of 48\/5 and a.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 228774678?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-99684)\/994)\/39*98\/(-4).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 266 - 529\/2. Suppose -7*o + 2*o - 90 = 0. Let g = o + 130\/7. Put g, v, 1 in ascending order.\nAnswer: g, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((3*sqrt(24))\/sqrt(12))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12.39 - 12.49. Let w = -299\/10 - -30. Which is the closest to w? (a) r (b) -3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 7*k - 256. Suppose -10*g + 3 = -11 - 66. What is the highest common factor of k and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/6*((-7869)\/(-1763))\/61.\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -42 + 109. Let d = s + -38. Let v = d - 86\/3. Does 0 = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**2 + 17023000*j - 36222816125000 = 0.\nAnswer: 4255750","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -151 - -220. Let g = w + 3. Let q = 71.99806 - g. Round q to 4 decimal places.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -0.4, 16, 220, 1\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.001223482310552 - -30153730.398895517689448. Let x = w + -30153744. Let p = x + 13.6. Round p to 5 dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/((-60)\/(-25))*-2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 466708 is divided by 158.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of u**4\/3 + u. Let l(o) = 10*o - 7. Let n(y) = 4*y - 3. Let d(s) = 3*l(s) - 7*n(s). Give t(d(c)).\nAnswer: 16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224*m - 285 = -243*m for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*q**2 - 3*q + 7*q - 2*q - 4*q**2.\nAnswer: 3*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1409, 5647, 12709, 22595, 35305, 50839, 69197?\n\"Answer: 1412*v**2 + 2*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24391 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4.8973 and 34965.605.\nAnswer: 34960.7077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 3*i = 2*i + 9, i + 15 = -5*j. What is the units digit of -4*(j - (-10)\/8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 756\/(-105)*(-410)\/4. Suppose 18*s = 9*s + o. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 - m + 1. Suppose -2*b = 2*c - 10, -c + 0 = -b + 11. Let q(y) = 2*y**2 - 8*y + 8. Give b*h(r) - q(r).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3265416 and 19096.\nAnswer: 3265416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -5. Let h be 3\/(-9) + 1\/1. Let q = -0.4 + -1.6. What is the third smallest value in q, s, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2337 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: What is the greatest common factor of 30 and 241212540?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dxkdtdltkd. What is prob of picking 1 t, 2 d, and 1 x?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -289\/6 + 48. What is the smallest value in -0.5, 5, g?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11791\/2 + 5894. Which is the closest to -0.1? (a) 0.04016 (b) v (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 - 10*b**2 - 10*b - 3. Let h be v(11). Which is bigger: h or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -371\/48437 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*x**2 - 1278*x**2 + 1679*x**2 - 1599*x**2.\nAnswer: -1264*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 97193 and 1066781?\nAnswer: 1171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 8:12 PM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**21)\/(m\/(m*m\/(m\/(m*m**(4\/3))))))**(7\/2))**(-1\/40) assuming m is positive.\nAnswer: m**(371\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 9*a**2 + 13*a - 22. Let x be h(10). What is the tens digit of 3762\/x + 2\/(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17035760 (base 8) in base 13?\nAnswer: -a82a02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2308 is divided by 38.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 142396636 and 12?\nAnswer: 427189908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 6*p - 25 = -b, -2*p + b = -3. Suppose 0 = t + 4*t + 20, -3*t = -p*u. List the prime factors of (28\/3)\/(u\/(-9)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v - 61. What is a(31)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 7 + 15. Let f = 406 + -404. Let c be f\/i - 42\/44*4. Put -2, -1, c, 0 in decreasing order.\nAnswer: 0, -1, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 5*m - 650, 0 = 5*m + 2*t + t - 650. Let u = 62 - m. Let c = u + 197. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2249 by 2170.\nAnswer: -2249\/2170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, -20, -10, 37, -4, 8 in descending order.\nAnswer: 38, 37, 8, -4, -10, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 3*(2 + sqrt(242)) + 2 + (-3 + -2*sqrt(242) + sqrt(242))*-2*-1)*4)**2.\nAnswer: -704*sqrt(2) + 3936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.23 + 2.93. What is the nearest to 1 in -3, -2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 716 is divided by 651.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3645160 to the nearest integer?\nAnswer: 1909","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d**2. Let y(z) be the first derivative of -5\/2*z**2 + 21 + 0*z. What is y(x(b))?\nAnswer: 10*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that i**4\/5 + 1771*i**3\/5 + 162814*i**2 + 26171936*i\/5 - 85890336\/5 = 0.\nAnswer: -868, -38, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - a = -135, 2*w + 110 = -0*w - 4*a. Suppose 0 = -75*m + 68*m - 861. Let b = w - m. Is b a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 48 = 2*r. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -3*a - 150, 3*y - 4*y + 30 = a. Suppose 2*f = f + w, -y = -5*f - w. Suppose 0 = 2*t - f*t + 237. Does 29 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20733 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 1. Let o be 1\/(((-14)\/(-36))\/7). Suppose k = 5*v + 3 - o. Solve v*f = -4*c + 7, 2*f - 9 = -5*c - 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 + 38*d + 311. Let c be v(-7). Let j(z) = 4*z**2 - 4. Let g(x) be the first derivative of 13*x**3\/3 - 11*x + 26. Determine c*g(s) + 11*j(s).\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*v**4 - 2*v**3 - 9*v + 2 wrt v?\nAnswer: 120*v**2 - 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b**3 - 9*b**2 + 6*b + 6. Let s(a) = -2*a**3 - 9*a**2 + 5*a + 5. What is 5*h(u) - 6*s(u)?\nAnswer: 2*u**3 + 9*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o**3 + 3*o**3 - 3*o**3)*((0 + 0 - 5*o)*(3 - 2 + 1)*(-4*o + o + o) - 7*o**2 - 434*o**2 - 61*o**2).\nAnswer: 1928*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/21 (b) 25 (c) 3 (d) -2\/13 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11254286 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1632\/1471 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*c - 3*z, 2*c + 16 = -5*z + 4. Suppose 5*j - 5 = 15, -c*m + 2*j - 128 = 0. Let k = m - -50. Is k a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 6:26 AM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3*u - 5. Let t = -16 - -20. Suppose 0 = -t*d + 44 - 4. Calculate the smallest common multiple of d and y(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p + 4. Let f(u) = -2*u - 4. Let q = -318 + 315. What is q*f(m) - 4*i(m)?\nAnswer: 2*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 252933682?\nAnswer: 2, 126466841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10817 and 754.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -5*q + 428. Suppose 60*h = 66*h. Calculate the remainder when n(h) is divided by 86.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 4*z**2 + 6*z - 8. Let u be l(4). Suppose 0 = 4*p - 4*q + 248, 2*p + 44 + 68 = -4*q. Let k = p - -76. What is the greatest common divisor of k and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -32*n**4 + n**3 + 2235*n**2 + 52*n + 649.\nAnswer: -384*n**2 + 6*n + 4470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2*274\/((-8)\/4*-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -70 + 73. Let b(l) = -l**3 + 3*l**2 + 4*l - 1. Let d be b(k). What is the first derivative of -12 - 33*u**2 + 0 - d wrt u?\nAnswer: -66*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31433 greater than or equal to 31451?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + 144129?\nAnswer: 144124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*c - 3*c = -73*c + 1235 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6090399*a**2 + 3022986?\nAnswer: -12180798*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a*t**5*z - 360*a*t*z**2 - a*z + 11*t**2*z**2 - 2*t wrt t.\nAnswer: 40*a*t**3*z + 22*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 7 = -4*v - 10, 4*v = 5*z - 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 76 and 4516471?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence csl when three letters picked without replacement from {s: 1, c: 1, l: 6, a: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*v**2 + 152\/3*v + 2888.\nAnswer: 2*(v + 114)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -578 - -577.7. Sort -2\/3, -1\/5, r, 38\/5 in decreasing order.\nAnswer: 38\/5, -1\/5, r, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 4. Let j be (-51)\/(-30) + 9\/30. Let z be ((-54)\/o)\/j + 3. What is z rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 11) to base 14\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -244 - -6098\/25. Is j at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a**5 + 2882545*a**2 - 13645*a + 75 wrt a?\nAnswer: 20*a**3 + 5765090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) - -3*sqrt(112)*-3)\/sqrt(4))\/(5*sqrt(48)\/sqrt(3)).\nAnswer: -4*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 7*v**3 - 3*v + 3. Let g(o) = 50*o**3 - 20*o + 20. Calculate 20*b(m) - 3*g(m).\nAnswer: -10*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-87.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -325*f + 328*f. Which is greater: -2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -365, -733, -1101, -1469, -1837?\n\"Answer: -368*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 1725 = 5*y, -2*d + 1725 = 3*d - 2*y. Is d a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 572 + -223. Let t = 467 - s. Is t a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -1 (c) -0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.153 - 0.153. What is the nearest to -0.1 in 3\/2, 0, o, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24.9*-0.3.\nAnswer: 7.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 - w. Let y be (1 + -2)*3 - 3. Let i be (y\/(-4) + -2)*4. Calculate n(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 783 is divided by 371.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 2\/5, 94, 0.144, 0, -1\/2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 114 and 12388?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of -l**7\/42 - l**3\/3 - 4*l. Find the second derivative of x(p) wrt p.\nAnswer: -20*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8571 + -154337\/18. What is the common denominator of v and -67\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 7. Sort y, -0.5, 5, -4 in decreasing order.\nAnswer: 5, y, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84 and 15672?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - -1 - (68 - 78).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.9 + 7.9. Let q = f - 3. Which is the third smallest value? (a) q (b) 5 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millennium in months?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c + 11. Let d = 0 - 2. Let g be (-60)\/100*30\/d. List the prime factors of v(g).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.38 - 0.28. What is the closest to b in 1, -3\/7, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -j + 6. Differentiate 1 + 2 + 5*l**4 - 3*l**j + 0 with respect to l.\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a3163 (base 14) to base 13\nAnswer: -10996a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a + 9. Let p be x(-6). Let d be (-2 - -4)\/(p\/(-18)). Suppose -4*h + 4 + d = 0. Which is bigger: h or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + t = -3*a + 37, 0 = 3*a - 2*t - 36. Let l be (-18)\/21*(-35)\/a. Put 0, l, -5 in decreasing order.\nAnswer: l, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-4)*(-110)\/15. Let u(z) = z - 7. What is u(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.06 + -0.07. Let s = d - -0.11. Which is the nearest to s? (a) -1\/11 (b) -1\/8 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**4 + 67*s**4 + 42*s**4)*(0 - 2 + 4)*(-s + 0*s + 3*s) + (-7*s**4 - 4*s**5 + 7*s**4)*(0 + 0 - 2) - 3*s**5 - s**5 + 6*s**5.\nAnswer: 450*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**(-3)*l*l**(-11) assuming l is positive.\nAnswer: l**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (20832896\/(-96))\/(2\/(-3)). Suppose 28*u + y = 42*u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 + 16*w + 15. Let g be h(-15). Suppose 4*b - 2*b - 10 = g. Let o be (-2)\/b - (-38)\/95. Let m(c) = -c**3 + c**2 - c - 4. Calculate m(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*-5*435597\/94695.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - (-2*sqrt(3) - sqrt(3)))*-3)**2*2 + -2.\nAnswer: 862","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -0.089 (c) 6791\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 + s - 6. Let o be f(5). Let m be 111\/9 + 6\/(-18). What is the greatest common divisor of m and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011011111 - 11?\nAnswer: 1011011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 640*m - 9. Let d(f) = -f + 6. What is -c(o) - 2*d(o)?\nAnswer: -638*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5584990 is divided by 1116792?\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -1542*w + 7. Let t(s) = s - 8. What is j(c) + t(c)?\nAnswer: -1541*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, -90\/11, -3, -1419?\nAnswer: -1419","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -51*s - 1895. Give w(-37).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*a**3 - 71*a + 19*a + 3*a**2 + 28*a + 27*a.\nAnswer: -3*a*(a - 1)*(2*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 893 = 8*p + 589. Let z(m) = -7*m**3 + 9*m**2 + p*m + 8*m**3 + 9 - 47*m. What is z(-10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 57 and 1824.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence osso when four letters picked without replacement from ssjsojjjsjnnojsjj?\nAnswer: 1\/1428","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -289 + 1501\/5. Find the common denominator of t and -119\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 101004?\nAnswer: 101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 19582*y + 19583*y = 75, 0 = -4*b - 2*y + 60 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3*y**2 - 9*y + 9. Let k(l) = l**2 - l + 1. Determine 9*k(g) - v(g).\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 9 + 8 + 2*t**2 + 8*t**2 as n*t**2 + j + g*t and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.21 in 1, -7\/61, 4, 3.2?\nAnswer: -7\/61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ectztz. Give prob of sequence tte.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9\/7 - -311\/231. Which is the closest to 0.2? (a) -0.5 (b) y (c) 2\/11 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -9 - -6 - (-6 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 AM and 2:25 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of t**4\/24 + 5*t**2\/2 + 16. Let v(f) be the second derivative of s(f). Let w(x) = -5*x**2 + 7*x**2 - 3*x**2. What is v(w(p))?\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -310 + 101 + 104 - 17*x**2 + 100.\nAnswer: -17*x**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 301464.\nAnswer: 2, 3, 53, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 95 and 5102155?\nAnswer: 96940945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**(-2))\/d*d**(-3\/7))\/((d\/(d\/d**(-6))*d)\/(d\/d**(-3))))\/((d**(-1)\/(d\/d**(-2)))\/((d*d**(1\/3))\/d*d)**44) assuming d is positive.\nAnswer: d**(1538\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - l**2 - l. Let o(k) = -14*k**3 + k**2 + 23*k. Let h(w) = m(w) + o(w). What is the second derivative of h(v) wrt v?\nAnswer: -78*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29846 divided by 14923?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -0.21.\nAnswer: 0.063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2871 divided by 51?\nAnswer: -957\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -10 - 51*w**3 + 10*w**2 - 47*w**3 + 96*w**3 + 2*w = 0.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - (-9 + 5) - -8) + 7\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/6750 and 41\/616905?\nAnswer: 92535750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 58 - 59. Is -2 - (h + 2 + -40) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 163\/7548 and 109\/102.\nAnswer: 7548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 654 and 35229.\nAnswer: 23039766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -72*v. Let p(u) = 6*u - 10. Let a(t) = t - 2. Let f(z) = -5*a(z) + p(z). Calculate m(f(c)).\nAnswer: -72*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 16) in base 14?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-456)\/16)\/((-3)\/60). Calculate the highest common divisor of t and 150.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of 235*v**4\/6 - 428*v**3\/3 - 2*v**2 + 29*v. What is the first derivative of m(x) wrt x?\nAnswer: 940","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -18*l**2\/5 - 26277272*l - 29196968\/5 = 0?\nAnswer: -7299242, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (48\/9)\/(4\/6). Let b be (g\/(-2) - -4)\/4. Suppose b = t + 2 + 4. Put 2, -1\/3, t in increasing order.\nAnswer: t, -1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-213 + 213 + 132*f)*(-4 + 4 + f**2).\nAnswer: 132*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -272245 (base 8) to base 14\nAnswer: -26aa1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(1\/3))**(-21)*(v*v\/v**(-2\/5)*v)**(-6\/17))\/((v**(2\/3))**(2\/37)\/((v\/((v*(v*(v**3\/v)\/v)\/v)\/v*v))\/v**(-4))) assuming v is positive.\nAnswer: v**(-6791\/555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -73 less than or equal to -494?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 c when two letters picked without replacement from {c: 4, v: 2, o: 6, d: 1, z: 4}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7014 divided by 16646.\nAnswer: 501\/1189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -179\/60 and -19\/246500?\nAnswer: 739500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/25)*i\/(i\/i**(-25)))**(2\/17))**18 assuming i is positive.\nAnswer: i**(-22572\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j - 36*j = -26. Is j\/(-5)*5*(5 + -11076) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 7 - 34. Let g be 11 - 3\/(u\/6). Suppose 2 - g = -k. Solve 0 = -2*l - k + 3 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 335 and 75.\nAnswer: 5025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 2 + (((-5*sqrt(1539))**2 + sqrt(1539))*-1 - (2 + (sqrt(1539) - (-3 + sqrt(1539))**2 - sqrt(1539)))) + -5.\nAnswer: -36935 - 63*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120825270 divided by 40275090.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-160)\/120)\/(4\/(-3)). Suppose 0 = -4*r, 5*b + r - 20 = 5. Sort b, w, 0.\nAnswer: 0, w, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/16950201 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 31325208 and 6954.\nAnswer: 595178952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -873242*x**2 - 873067*x**2 + 1745456*x**2.\nAnswer: -853*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) 168985 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.8 - -2.2. Let o = l + 3.01. What is o rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5204910.4 and 410.1615?\nAnswer: 5204500.2385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 + 13*j**2 + 11*j + 15. Let a be l(-12). Suppose 4*f = a + 1. Differentiate -3*d**3 + 6 + f*d**3 - 2 - 1 with respect to d.\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7.28 + -1.38. Let k = c - 7. Let a = 0.8 + k. Sort a, -0.5, -4 in descending order.\nAnswer: a, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.02 + -2.02. Let x = 2 - 2. What is the closest to x in w, -3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 5*p = -1 + 33, 4*g + 2*p - 74 = 0. Suppose -g*h + 12*h = -470. Is 4 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -416 or -235?\nAnswer: -235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 152064 a multiple of 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 856816416 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 34664913 to the power of 1\/2, to the nearest integer?\nAnswer: 5888","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 8:28 PM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 74*m*p**3*r**2 + m*p**2*r**2 - 2*m*p*r + 92*p**3*r**2 - 15*p**2 - 806*r**2 wrt p.\nAnswer: 444*m*r**2 + 552*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*y - 9*y - 85*y.\nAnswer: -83*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.131138 and -2042.\nAnswer: -267.783796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 92350 and 210?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1209 divided by 87?\nAnswer: 403\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 9978?\nAnswer: -1\/3326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 199033410 greater than 199033411?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bkq when three letters picked without replacement from {b: 1, q: 3, k: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(-17)\/(-2142)*(-74)\/(-222).\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151735837993 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6762 divided by -69.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9831 by -1.\nAnswer: 9831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/9)\/((-20)\/30)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -w, 0 = 36*n - 33*n + 15 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -13*t**3 - 29*t**2 + 11*t + 55. Let a(b) = 6*b**3 + 14*b**2 - 5*b - 28. Let w(h) = 7*a(h) + 3*d(h). Let m be 6 - (3\/1 - 4). Is w(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 3 b when four letters picked without replacement from {l: 7, b: 6}.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40) - sqrt(40)*-2*5)\/(sqrt(72) + (sqrt(72) - (-2*sqrt(72) + sqrt(72))) + sqrt(8)).\nAnswer: 11*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -8\/5 + 28\/5*u**3 - 28\/5*u + 4*u**4 - 12\/5*u**2 = 0.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c - 57. Let s(p) = -2287*p**2 - p. Calculate o(s(n)).\nAnswer: 2287*n**2 + n - 57","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y = 5*b - 4*y + 33, -b - 7 = -y for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/180 and 558\/(-2728)*(-78)\/45.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -2*i**5 + 126836*i**4 + 5837104*i**3 + 100514876*i**2 + 767879794*i + 2196235184 = 0?\nAnswer: -13, -11, 63464","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-19)\/(-114))\/(1\/2)*18\/21. Let t = 0 + 1. Let f be ((-1)\/2)\/(t\/3). Which is the nearest to y? (a) 2 (b) -1\/14 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mfmmlhhhls. What is prob of sequence mhsm?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + -71 + (-11 - -7 - -17).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 112, -1\/10, 0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) 2\/15 (c) 63 (d) 36 (e) -3\/22 (f) -9\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.2, 1\/21, -0.3, -3?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 819547447 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3636.\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -76598, -76605, -76616, -76631, -76650, -76673?\nAnswer: -76700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3 + 1045*c**2 + 7276*c + 10380.\nAnswer: (c + 2)*(c + 5)*(c + 1038)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - f**2 + 5. Let a be v(0). Solve -23 = -a*t + d - 0*d, 2*t = d + 8 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-236 + 0)*(-15)\/12. Suppose -4*c - 289 = -h, 0 = h - 0*h + 2*c - v. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - 137?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - -8 - (-2 - -8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 0 + (50 - 39)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1260928767 to the power of 1\/3, to the nearest integer?\nAnswer: 1080","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*w + 0*w - w)*(-33 + 64 + 136) - 3*w + 4 - 1 - 2 to the form a*w + v and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a century in decades?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(33*(44\/(-4))\/(-22))\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -6*u + 8. Is -0.3 less than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 - -20. Calculate the least common multiple of 4 + ((-9)\/((-36)\/16))\/(-2) and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124 is divided by ((-1152)\/54)\/((-6)\/9).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 376104*o - 376921*o + 12)*(-3*o**2 + 3*o**2 - o**2).\nAnswer: 817*o**3 + 5*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4699, 4, -1149, -3, -5 in increasing order.\nAnswer: -1149, -5, -3, 4, 4699","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 729266.\nAnswer: 2, 17, 89, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 101111100 (base 2) to base 9\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 - -12. Let l(u) = -u**2 - 12*u - 7. Is l(r) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237408653 to the power of 1\/2, to the nearest integer?\nAnswer: 15408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 991\/26649 or 1?\nAnswer: 991\/26649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 - 25*b + 58. Give a(16).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vvvvvvvuvvvv.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllliillililillfll. What is prob of picking 2 i?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5.91, 31, 1, 3 in increasing order.\nAnswer: 1, 3, 5.91, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 258.\nAnswer: -7\/258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -2.5. Let q = -35.142 - -35.042. Let r = -1.1 - -0.1. Which is the closest to q? (a) r (b) k (c) 9\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + 6*y - 16. Let j be n(2). Let p(t) = -t**2 + t - 1. Let s be p(0). Put j, s, -5, -4 in descending order.\nAnswer: j, s, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(130) - -1*1*sqrt(130)))\/(-1*sqrt(90) + (2*sqrt(1000) - sqrt(10))).\nAnswer: -3*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 546 = -3*q, -4*q + 18*n + 693 = 23*n. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5340 a multiple of 178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 831942?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 6*l + 62. Let u = -3 - l. Solve 26 = 2*g - 5*v, -u = -5*g + 4*v + 21 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j**(-5\/4)\/j*j*j\/j**3*((j*(j*j**(1\/3))\/j)\/j*j)**29)**(9\/10) assuming j is positive.\nAnswer: j**(1347\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11.7857 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 26 = 4*u, 25*u - 24 = -2*y + 21*u for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61108*l + 33500*l - 26167*l.\nAnswer: 68441*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -19362178?\nAnswer: -38724356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000021686989 rounded to six dps?\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 22116374 to the power of 1\/2, to the nearest integer?\nAnswer: 4703","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119212450.\nAnswer: 2, 5, 7, 23, 59, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19930 by 6.\nAnswer: -9965\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 215, 1365, -9, -0.1?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -5*k**4 + 90*k**3 + 2115*k**2 + 3940*k + 1920 = 0.\nAnswer: -12, -1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -8*p + 4. Suppose x - 11 + 8 = 0. Let g be -2 + (3 - x)\/(-4). Does 5 divide j(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 218 - 48. Let l be 27\/(-2)*d\/15. Is (16\/48)\/((-1)\/l) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p - 9*p = -10584. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 572 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(192\/(-36))\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/2)\/(14\/28)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 3*g + 10228, 3*x + 2*g - 9303 + 1649 = 0. Suppose -2*j + 24076 = 4*r + x, -r + 53850 = 5*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1021 and 4?\nAnswer: 4.1021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 34*r - 13. Let m be w(3). Suppose 5*n - 171 = 3*p + m, p - 52 = -n. Calculate the remainder when n is divided by 48.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 3:07 AM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 8:52 PM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -181.\nAnswer: -181, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 + 12*f - 15. What is the units digit of u(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) + 1)**2*5 - (sqrt(11) + (sqrt(22)\/sqrt(18))**2) - (((1*sqrt(121) + sqrt(121))*-2)\/sqrt(11))**2) + -2 + 4.\nAnswer: -1037\/9 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*y**4 + 0*y**2 + y**2 - 1186*y + 714*y wrt y.\nAnswer: 156*y**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28895 is divided by 3578?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4219 = -385*j - 5021 for j.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 210495411 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b + 5*b**4 - 2*b**4 + 6 - 2*b**4 - 3 to n*b + s*b**4 + l + u*b**3 + f*b**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28973 is divided by 26?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15130\/7 + -2165. What is the common denominator of i and ((-637)\/98)\/(14\/(-5))?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49967 - 2*a + 2*a + 49967 - 16*a**2.\nAnswer: -16*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*m**3 + 6*m - 35*m + 29*m.\nAnswer: 69*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/(-14))\/((-10)\/(-2)). Suppose -40*z = -13 + 13. Which is greater: w or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/632436 and 9\/10?\nAnswer: 3162180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/6*(34\/(-2) + -4). Let u = -14 - -13.7. What is the third biggest value in u, -1\/5, w?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*k = 25*k - 235. Calculate the greatest common divisor of 893 and k.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dn when two letters picked without replacement from {d: 1, v: 1, o: 1, w: 1, n: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v. Let a be p(-4). Let r = 2 + -2. What is the smallest common multiple of 9 and (-1)\/(2\/(r - a))?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k, -3*k - 100 = 3*a - 8*a. Let i(y) = y**2 - 5*y - 283. What is the tens digit of i(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 47823410 to the nearest 10000.\nAnswer: 47820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 13, 3, 10, 28.\nAnswer: 3, 10, 13, 14, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-50830)\/(-43010)*(-9)\/(-13)\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -4 - 3 + m**2 + 7*m**2 + 0 + 2*m + m**3. Suppose 3*w + 2*l + 38 = -w, -30 = 5*w - l. Does 14 divide k(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, -1133, -1 in decreasing order.\nAnswer: 3, 0, -1, -1133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 15 + 21. Suppose -4 = 4*f + 4*j, 2*j + 26 = 5*f + 3. Solve f*m + 3 = q for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2347779 and 2347772 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -17\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 12*i**4\/5 - 4*i**3\/5 - 4*i**2 + 4*i\/5 + 8\/5 = 0.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 + 12*d - 29. Let z be v(7). Solve -z = -r - 2*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/119 in -4, -0.3, 0.4, -3.14, -85?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2020004*p**2 + 7*p + 4. Let t = 16 - 17. Let c(z) = z**2 + z + 1. Let i(n) = t*r(n) + 5*c(n). Let l be i(1). Round l to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 5*q = 74, 2*q - 72 = -4*r + 8. What is the remainder when 154 is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 380629 and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108*b**2 + 103*b**2 + 107*b**2 - 638*b**2 + 104*b**2 + 109*b**2 + 96*b**2.\nAnswer: -11*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = -4*q + 265616 - 265605, 0 = -2*t - 5*q - 0*q - 11 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -11*n**2 + 11*n - 5. Let g(l) = -9*l**2 + 10*l - 5. Let k(h) = 5*g(h) - 4*w(h). Give k(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**3 + c**3 + c**3 - 2*c**3 + 5*c**3 - c**3 + (5*c + 0*c - 3*c)*(4*c - 4*c + 2*c**2) - 5*c**3 + 2*c**3 + c**3 + c**3 + 0 + 0)*(-c + 0*c + 3*c).\nAnswer: 14*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - -3. Solve -2*b - 3*d - 5 = 0, -10 = -3*b + d + g for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9065000 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 9*o + 1209 = 0. Let g = 230 - o. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2086302?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(153)*2 + sqrt(153) - sqrt(153))*6)\/(1*sqrt(2916) + sqrt(2916)).\nAnswer: -sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4183.38l to millilitres.\nAnswer: 4183380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1319131 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - -11. Suppose w - m = y, w - 26 = 2*y - 7. What is the greatest common factor of w and 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 369527.\nAnswer: 449, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -4*c + 1. Suppose -301 = -3*p + 59. Let v(b) = 227*b + 2 - 116*b - p*b. Give 14*o(r) - 6*v(r).\nAnswer: -2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6318.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/1664 and -53\/9867.\nAnswer: 1262976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16.95 + -6. Let x = -22.9 - h. Which is smaller: -1\/35 or x?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -3*h**2 - 3*h - 4. Suppose -10 = -2*u + 4*u. What is the units digit of v(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 210, 335, 462, 591, 722, 855?\n\"Answer: i**2 + 122*i + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s. Let j(x) = -2*x - 23. Let w be j(-12). Determine m(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 2 - 35*p - 44*p + 36*p - 6.\nAnswer: -43*p - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 16935 (base 10) in base 3?\nAnswer: 212020020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*w - 2*w + 5*w)*(2 + w - 2) + (-6*w + 0*w + 2*w)*(2 - 2*w - 2).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of -b**10\/10080 + b**9\/840 - 9*b**8\/2240 + b**7\/210 - 5*b**4\/12 + 22*b. Let p(i) be the third derivative of a(i). Factor p(k).\nAnswer: -3*k**2*(k - 4)*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34317?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, y: 3, v: 4, t: 4, c: 5, l: 1}. Give prob of sequence cv.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 722717953 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qmp when three letters picked without replacement from {r: 3, o: 3, q: 2, m: 3, p: 1, s: 7}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -5*q**3 - 4*q**2 + q + 4. Let y(m) = 9*m**3 + 7*m**2 - 2*m - 7. Suppose 4*g + 4 = 0, 2*l = -2*l + g - 83. Let b = 14 + l. What is b*o(i) - 4*y(i)?\nAnswer: -i**3 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 0.63247829\nAnswer: 2.52991316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -81 - 3 - (213 + -134 - 73).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 108079 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 413128259?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 415 and 13861.\nAnswer: 69305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16850953 to the nearest integer?\nAnswer: 4105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 18 - (-3 + (32 - 16)). Sort -3, -18, 6, z.\nAnswer: -18, -3, z, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of -q**4\/12 + 5*q**3\/3 + 5*q**2\/2 + 3*q. Let o be b(10). Suppose 0 = -4*w - o*g + 134, w = -2*w - 5*g + 98. Does 9 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131 + 1223 = 156*l for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2 + 8 = 0. Let i be 64\/1 + 1 + g. Suppose 5*w = 3*d + 15 + 30, 3*d = -4*w + 36. Calculate the greatest common factor of w and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*q + 40*q + 2*x - 71606 = 0, 0 = 4*q + 3*x - 95477. What is the thousands digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130335 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 4*d = -60. Let a be 34\/5 - 3\/d. Suppose 3*l + a = 40. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 57*m**3 - 37*m**2 + 3*m - 14. Let u(c) = -20*c**3 + 13*c**2 - c + 5. Let y(j) = -17*u(j) - 6*w(j). Determine y(2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 6*n**2 - 40*n + 34. What is the least common multiple of 96 and d(7)?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9536)\/(-208) - 22 - (-4)\/26. Solve j*b = 12*b + 84 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -369.3 + 268.3. Which is the nearest to 0.1? (a) 3\/5 (b) 0.01 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 AM and 12:44 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -94*i**2 + 11*i - 11. Let f be y(4). Let d = 2718 + f. Calculate the highest common divisor of 29 and d.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 18.35154 centuries?\nAnswer: 1.835154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -519*b - 3*b**3 + b**3 - 368 - 368 + 1094 - 367 in the form s*b + g*b**2 + j + c*b**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/14519538 and 32\/1089.\nAnswer: 159714918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/14)*s**27*s)\/(s**37\/(s\/(s*s**6))) assuming s is positive.\nAnswer: s**(-211\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (37\/5)\/(2\/4). Let s = z + -449\/30. Suppose n = 5*f - 2, 7*f + 4 = 2*f - 2*n. Are s and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3201577601 to the nearest integer?\nAnswer: 1474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 698942 and 214.\nAnswer: 149573588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15728699.\nAnswer: 7, 269, 8353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*l = z + 92, 1231*z + 230 = 1126*z - 2*l for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.3 and -4863041.\nAnswer: 20911076.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is caa4 - 50?\nAnswer: ca54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.13 - -0.27. Sort -5, 2\/7, y.\nAnswer: -5, 2\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4\/9, -0.2, 1\/13608?\nAnswer: 1\/13608","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51731 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1714 + 8.8?\nAnswer: 8.9714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -11 * 3966.5139\nAnswer: -43631.6529","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 599 = 3*b + 587 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 17. Let u = b - 14.2. Let o = 1.19997 + u. Round o to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5566076951 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 471 is divided by 137?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/(m\/(m**(-22)\/m*m))))\/(m*m**(-2\/31)))\/(m\/m**(-1\/23)*m**3) assuming m is positive.\nAnswer: m**(12849\/713)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 462 - 291. Suppose 5*d = g + 129. What are the prime factors of d?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 156*s**2 + 51*s - 671. Is c(46) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 12 = d. Let b = d - -5. Suppose 0 = 5*j - 0*j + 2*h - 55, -2*h = -2*j + 22. What is the least common multiple of b and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 22 + 34. Suppose -80 = -g + n. Suppose 4*i - g - 148 = 0. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 0 - 6*h + 0*h + 8*h in the form u*h + b and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9988607, 9988611, 9988617, 9988625, 9988635, 9988647, 9988661?\nAnswer: 9988677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/a**(1\/4))**(-23)*(a**(-2\/3)*a)**38 assuming a is positive.\nAnswer: a**(-331\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - 246\nAnswer: -246.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 262105404 + 0?\nAnswer: 262105404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 38060906?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 165 in increasing order.\nAnswer: -1, 2, 165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 273.3 + -273.298193. Round y to 4 decimal places.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20.01022 - -198.\nAnswer: 177.98978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57828?\nAnswer: 2, 3, 61, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 10:05 PM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 820*h + 9860. What is j(-12)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.086, 5\/2, -3, 0.3, -1 in ascending order.\nAnswer: -3, -1, 0.086, 0.3, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 3630 - 7630 = 0. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (558\/1953)\/((-4)\/(-112))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(2\/41))**(2\/121))**20)**(4\/21) assuming y is positive.\nAnswer: y**(6880\/104181)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 798900 and 2700?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -615 + 13?\nAnswer: -602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3 - 1375360*l**2 + 8252106*l - 12378132.\nAnswer: 2*(l - 687674)*(l - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-734.\nAnswer: 293.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, c: 10, o: 3, r: 1}. Give prob of sequence or.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, f: 7}. What is prob of picking 4 o?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + k = -21, 4*a - 57 = 3*k - 4*k. Let f(b) = -b + 61. Calculate the remainder when f(0) is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 11*q**2 + q + 3. Let x be z(11). What is the greatest common divisor of x and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 1 - 2 + 2*q**2 + 0 - 31*q**3. Let d = -16 + 15. Does 15 divide v(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 3. Suppose 2*r - 8 = -4*x, -5*r + 10 = -1094*x + 1099*x. Solve j - v + 3 = r for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7531 and 33810203?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -226*c - 367*c + 110*c + 41055 = 0 for c.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28 + 113\/4. Let i = 16 + -16.3. Let y = -27 - -27.5. Which is the nearest to -2\/5? (a) i (b) p (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/373?\nAnswer: -1\/373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r + 68. What is the units digit of d(-17)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 divided by -199\nAnswer: 15\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*c = 12*c + 10. Let w(t) = -7*t**c + 3*t**2 - 3 + 1. Let b(o) = 4*o**2 + 2. Give -4*b(x) - 3*w(x).\nAnswer: -4*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 429?\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 101 - 98. Suppose r*v + d = 12, 12*v + 2*d + 3 = 15*v. Which is the nearest to -3? (a) -4 (b) 3\/2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -6. Suppose 0 = -5*g + v + 26 - 9, 0 = -a*g + v + 11. Suppose g*q - 3500 = -2*q. Round q to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 36, -0.1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 259 (b) 50 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 n when two letters picked without replacement from {r: 10, n: 4, a: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -83 - (-7 - (6 - (-6 - -13))).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 21722?\nAnswer: 21720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105687?\nAnswer: 3, 11743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.294? (a) -1 (b) 17 (c) 3 (d) 1 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -182583238*d - 32130112 wrt d?\nAnswer: -182583238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 2 (c) -0.09 (d) 674\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**4 - 2*v**5 - 3*v**4 - 3*v**5 + 4*v**5 - 3*v**5 + (v**4 + v**2 - v**2)*(v + 1 - 1).\nAnswer: -3*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1387616598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -222 + 224. Let i(b) = -5*b + 2. Let r(a) = 6*a - 3. What is p*r(d) + 3*i(d)?\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 126 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 546 = -2*y - 102, -16 = -4*k. Let h = y + -456. Find the common denominator of 4\/(-10) - h\/80 and 6\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 852497320, 1704994638, 2557491956, 3409989274, 4262486592?\nAnswer: 5114983910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n = 8*n + 2*d + 7, -2*d = 2*n + 1 + 3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {h: 6, s: 5, x: 2}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 67 = 2*p, 0*p = h - p - 61. Suppose -h - 16 = -5*a - 4*v, -5*v + 5 = 0. Calculate the greatest common divisor of a and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-33) - 70\/22. Let a be 33\/2 - 3\/(-6). Suppose -4*l - v - 5 = 3, 0 = -l - 5*v + a. Is b equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/(-2*(-3)\/42). Let x = u + -23. Let b = x + 0. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*w + 222 = 7*w - 5*d - 108, 3*w - 75 - 72 = 3*d for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 204601.\nAnswer: 204601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**14))\/(((l\/(l*l*l*l**(-10\/7)*l*l)*l)\/l)\/l)*(l**(-12\/5))**18 assuming l is positive.\nAnswer: l**(-1877\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of -2 + 2*l + 9\/2*l**2. Differentiate d(a) with respect to a.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - 11*h**2 + 12*h. Let t be a(-12). Let u = -146 - -150. What is the closest to -2 in t, 1, u?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -294, -503, -724, -963, -1226, -1519?\nAnswer: -1848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (50\/275*-11)\/(21\/(-12))\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 147 = -2*r. Let h = 82 + r. What are the prime factors of h?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/59 or 0?\nAnswer: -6\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*s - 58*s + 2301 = 0. Calculate the remainder when s is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 63 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*c + 24 = 2*q - 12, c + 23*q + 21 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7 or 4\/995?\nAnswer: 4\/995","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (2 - -9) + -85 + 81.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 7*h - 40. Let z be y(8). Let s(m) = 26*m - 11. Let j be s(z). Calculate the highest common divisor of 15 and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 4*x**3 + 6*x. Let k(b) be the third derivative of b**6\/30 + 5*b**4\/24 - 25*b**2 - 1. Calculate -6*k(l) + 5*p(l).\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*k + 298*k = -70*k + 17557176. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + 27. Let l(v) = 292*v - 198*v - 93*v. Calculate h(l(w)).\nAnswer: -w**2 + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 32 + 2 = 2*d, -4*d + 2*l = 30. Let y = -0.1 - 0.1. Which is the closest to y? (a) 1\/2 (b) 2\/5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*(-2)\/15)\/((-19152)\/7560)*4\/18.\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/8 and -97\/47338?\nAnswer: 189352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236 is divided by 140.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -316 + 316. Let z(p) be the first derivative of 0*p**2 + m*p**4 + 7 + 1\/3*p**3 + 0*p - 7\/5*p**5. Find the third derivative of z(d) wrt d.\nAnswer: -168*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(3136)*-3 - (sqrt(3136) + (sqrt(3136) - (sqrt(3136)*-1 - sqrt(3136))*-6)))\/(-4*sqrt(175) + -3*sqrt(7)*-3).\nAnswer: -32*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (60\/(-9))\/(22\/(-297)). Suppose 5*f - 110 = -0*f. Suppose 2*t - f = -4. What is the greatest common factor of m and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8\/104499 - -272707573\/208998. Let s = 26053\/20 - i. What is the common denominator of s and -53\/2?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(19) - sqrt(171)\/(sqrt(9)*4)) + sqrt(19) - (sqrt(19) - (sqrt(1216) + sqrt(1216)*-1)))*3 + 3)**2.\nAnswer: 27*sqrt(19)\/2 + 1683\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s + 81. Let b be d(-27). Let o = 5 + 0. Suppose -4*m - 42 = -2*a, -o*m = -m - 8. Which is greater: a or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 5*x**2 - 2*x - 3. Calculate n(-5).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (739*b + 1197*b + 38*b - 387*b)*(4*b - b - 2*b - 2) to the form m*b + y*b**2 + r and give m.\nAnswer: -3174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5*i = -3*y + 20, 0 = -3*y + 4*i + 15. Solve 0 = y*z + 4*w - 35, -4*w + 17 = -z - 0*w for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/2)*f)\/f)**(-20)*f**(-15)*f**(-3)*f assuming f is positive.\nAnswer: f**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2516399 to the power of 1\/2, to the nearest integer?\nAnswer: 1586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6645*r**3 - 426*r**2 + 4*r - 150988754 wrt r.\nAnswer: 19935*r**2 - 852*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -152?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-279)\/(-1550)*(-60)\/(-36)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of -663*j**5\/20 + 1267*j**3\/2 + 6*j**2 + 59*j - 2. Differentiate w(m) wrt m.\nAnswer: -3978*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 8 (b) 1 (c) 1\/2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d. Let p be (12\/(-8))\/((-9)\/24). Let b(v) = 2*v**2 - 4. Let z(j) = 2*j**2 - 5. Let l(x) = p*z(x) - 5*b(x). What is h(l(f))?\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of -473*r**3 + 1288*r - 5058. What is the first derivative of f(x) wrt x?\nAnswer: -2838*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 5*w**2 - 3*w - 114. Let p(a) = a**2 - 11. Determine k(j) - 6*p(j).\nAnswer: -j**2 - 3*j - 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-66)\/20*(16 + 920\/(-60)). Which is the third biggest value? (a) -5\/6 (b) o (c) 0.189\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-32)*(-1752)\/1314. Let d(q) = -q**2 - 6*q + 8. Let h be d(-8). Let r = h + -3. Sort c, r, -2 in decreasing order.\nAnswer: c, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 150\/200 - 580\/(-16)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1.2 - 0.9\nAnswer: -2.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 115.70708 to zero decimal places.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 861212809 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, 2\/7, 0.3, 0.5, -8 in decreasing order.\nAnswer: 0.5, 0.3, 2\/7, -0.6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 4*z - 9. Let j be 2*-2*(-3 + 2). Let r be d(j). Suppose r*o - 22 = 6*o. What are the prime factors of o?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 239444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3044012303 (base 5) in base 3?\nAnswer: -102201210021002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.12 + 0.06. Let m = -0.284 - -0.113. Let a = t + m. Round a to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/((-134)\/(-6)))\/(659\/(-1318)*(-6)\/(-3))\nAnswer: 3\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14508.\nAnswer: 2, 3, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3781728?\nAnswer: 2, 3, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 74145\/916 + -77627413\/623796. Let u = q - 1\/1362. Suppose 5*c = -3*j - 70, 56 = -c - 2*c + j. Find the common denominator of u and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6176, 18225, 30272, 42317?\n\"Answer: -t**2 + 12052*t - 5875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2020 - 21?\nAnswer: 1444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*v - 93*v = -648. Let m be (16\/10)\/(2\/10). Suppose -68 = -3*n - g, -2*g = -0*g + m. What is the greatest common factor of n and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*g + 1656 = -6709. Suppose -3*p - g = 4*v - 8*v, -3*p = -3*v + 180. Calculate the remainder when v is divided by 28.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.187 - 0.087. Is -0.33 < q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12018331 is divided by 2309.\nAnswer: 2295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-195)\/(-195))\/(26\/(-24)*(-12)\/(-3))?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**4 + 1404*l**3 - 2814*l**2 + 1408*l = 0. What is l?\nAnswer: -704, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1857503\/140 - 65906\/5. Let h = z + -556\/7. What is the common denominator of h and 131\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -z**3\/2 - 1142*z**2 + 16031*z\/2 - 6873 = 0.\nAnswer: -2291, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10.44 - 8.44. Sort p, -35, 0.18 in descending order.\nAnswer: p, 0.18, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 117 and 4335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 55*s - 50*s + 2*l - 4, -6 = 2*l for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 184 + -178. Suppose -5*l + 3*q = -28, a*l + q = 7*l - 4. Calculate the greatest common factor of l and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 4*p = -58348, -p + 161 = 168. Does 36 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 5*j + 4 = -2, 2*j = 2*g - 12. Is g a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -8. Suppose 0 = 2*o + y*o. Let g = o - -1. Let c(l) = -5*l**3 - l**2. Calculate c(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -169, -165, -161?\n\"Answer: 4*d - 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3126702 divided by -6\nAnswer: -521117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 26\/37 at most as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32 and 44308?\nAnswer: 354464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/(6144\/624)*8\/((-10)\/5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (11 - 10) + (0 - -2). Suppose i*w = -5*o - 2*w + 2950, -5*o + 2*w + 2929 = 0. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/562954499 and -19\/198538?\nAnswer: 1125908998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6570378*f**3 - 897751*f**2 + 3*f?\nAnswer: 39422268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/10 - 6\/60*-348. Let w(h) = 170*h**2. Let r(v) = -19*v**2. Determine m*r(o) + 4*w(o).\nAnswer: 15*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 15\/2*5092\/95. What is the highest common factor of b and 1876?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1270 at least as big as 22871\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 126 + -126.0056. What is x rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 times -15227939\nAnswer: -152279.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -64633 less than or equal to -64738?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-100)*(11 + -6).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 - 20. Suppose -6*c + 7*c = j. Solve b + 3*b = c for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24 + 78*d + 30 - 53 to the form a + y*d and give y.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 3*o + 2. Let u(j) = 9*j + 12. Let k(r) = 6*f(r) - u(r). Let t(m) = 52*m**2. Determine t(k(a)).\nAnswer: 4212*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 3*i - 0*n - n, -5*i - 2*n = -35. What is the greatest common factor of i and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/2551 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(450)\/sqrt(9))**2.\nAnswer: -250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.943752 take away -3554.968?\nAnswer: 3538.024248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 21\/9 + 12\/(-9). Put -2, 2, f in increasing order.\nAnswer: -2, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*m - m = -60 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.209 + 0.20900262. Round r to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 16 = 2*s, -s = -0*l - 2*l + 9. Let x = 9 - s. Suppose 3*y + y = x. Solve 3*u - y*i - 4 = -0*u, i - 12 = 4*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54104 (base 7) to base 8\nAnswer: -32166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -13, -64, -161, -310, -517, -788?\n\"Answer: -h**3 - 17*h**2 + 7*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1d0 (base 16) to base 9\nAnswer: -565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47 + -21. Let n = g - 24. Let u be 0 - 1*(1 - n). Solve 6 - u = -o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 4*m + 7. Suppose -5*a = -0*a + 5*r, 32 = m*a - 5*r. Suppose -15 = a*o - 51. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 648 - 994. Let s = -348 - u. What is the closest to 0 in s, 3, 1\/31?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1087 is divided by 217.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1359599 from -6077321.9.\nAnswer: -4717722.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 3) to base 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*k = 3*x + 15*k - 66, 4*x = -3*k + 67. Let p be -1*(-3 + 2 - -2). What is the remainder when 1\/2*p*-74 is divided by x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18923987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1076 divided by 4?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -3*t - 18. Let s be h(-7). Solve -4*z - 28 = s*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2378899?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 18 - -21 - 18?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s - 12*s + 585 + 3*s - 591.\nAnswer: -11*s - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1271 at most 1272?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3124, 0.2, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -5*k**2 + 15*k**2 - 3*k**2 + 2*k + 7*k**3 - 6*k**2 + 3*k**3 - 3. Let a(j) = 21*j**3 + 2*j**2 + 5*j - 7. Give -3*a(u) + 7*v(u).\nAnswer: 7*u**3 + u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3207189*l + 10272255 wrt l.\nAnswer: -3207189","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 5*c - 48 = 0. Is -16 bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 695207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8030182 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**2\/2 - 45027*q\/2 + 112580 = 0. Calculate q.\nAnswer: -45032, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 1741.743301 to 1 decimal place.\nAnswer: 1741.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1184 + -1216. Is 9 < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((15\/(-24))\/((-7)\/(-140)))\/(5\/(-4)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - -7 - (-136 + 152)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1121 + 1175. Let k = 24 + 36. What is the least common multiple of u and k?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10287 + -8307. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1 + -1 + -4 + (-8 - -14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - 0. Let k(b) = b**2 + 5*b. Let a be k(l). What is the units digit of 3\/1 - (-1 - a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -115*m + 696. Give p(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of 19\/13*u**2 - 33*u - 20\/39*u**3 + 1\/78*u**4 + 0. Factor k(n).\nAnswer: 2*(n - 19)*(n - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 60*f + 263*f - 32*f + 271*f + 5*f + 5 + f - 5 + (2 + 0 + 0)*(-4 + 4 + f) + 2*f + 4*f - 5*f.\nAnswer: 571*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -113*a. Suppose -4*w + 14 = -2*t, 0*w - 5*w + 19 = -3*t. Let r(f) = 9*f**2 - 5*f**2 + 2*f - w*f. Determine r(m(v)).\nAnswer: 51076*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -0.3 (b) 2 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bdkxxdkdvkbgvkvgxv. Give prob of picking 2 d.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 395.6027um to meters.\nAnswer: 0.0003956027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 - -6.8. Let u = 119 + -951\/8. Let q = 0.86 - 0.36. Which is the second smallest value? (a) q (b) x (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 5:29 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 965 + -967. Sort s, 2\/13, -0.4, -26.8.\nAnswer: -26.8, s, -0.4, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 869595 < 869594?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 390231 to the power of 1\/2, to the nearest integer?\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 19 = -2*i, -2*a - 2785 = 6*i - 2837 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a**2\/2 - 1875*a\/2 + 5535 = 0.\nAnswer: 6, 369","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -198954, -397909, -596864, -795819?\nAnswer: -994774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -13. Let q = 56 - 56.2. Let u = 0.2 + 0. Put j, q, u in decreasing order.\nAnswer: j, u, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**3 - 990*m**2 + 3996*m - 4008.\nAnswer: -3*(m - 2)**2*(m + 334)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -6. Suppose -50 = 4*a - 3*p, 4*p + 12 = -2*a - 2. Let x be ((-143)\/2)\/a*2. What is the biggest value in k, x, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 65930, 65928, 65926, 65924?\nAnswer: 65922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 27? (a) -1\/4 (b) -5\/13 (c) -0.3 (d) 14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4817.60685 minutes in weeks?\nAnswer: 0.4779371875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 60.625 * 0.5\nAnswer: 30.3125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 73338 to the power of 1\/2, to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + 2. Let d(l) = l**2 + 15*l + 49. Let c be d(-10). Is 2 + c + x - -1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + 0*n - 3*n)*(49 + 51 + 115).\nAnswer: -645*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/161, -95\/22, 8, -104?\nAnswer: -104","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.4 * 67.5388.\nAnswer: -229.63192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (8\/18)\/(4\/3)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16724*i + 255210*i + 61115*i - 1749 + 1749.\nAnswer: 333049*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/1054 and -7.\nAnswer: 1054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(18))**2*-3 + 0 + -4 + -2.\nAnswer: -63 + 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1407 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2c9 - -6?\nAnswer: 2cf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of 768*i**2 + 0 + 116*i + 1\/18*i**4 + 32\/3*i**3. Suppose z(a) = 0. What is a?\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (-2 + -6 - 39 - 0) - -4) + -8?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 135 and 975.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11841 - 69109. What is c rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 74 = 2*d, -4*d + 106 = 3*v - 2*d. Let x = 33 - v. Suppose 2*a + 5*j + 6 = 0, -4*j - 3 = -3*a + 11. What is the closest to x in a, 1\/7, 1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4313932101?\nAnswer: 3, 223, 79609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 + -4)*(-7)\/(-14). Put 1, -8, 4, x in descending order.\nAnswer: 4, 1, x, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1455 by 3675.\nAnswer: 97\/245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.029 plus -0.01557468?\nAnswer: 0.01342532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/1*1\/2. Let d(p) be the second derivative of p**3 + p**2 + 2*p - 8983. Let x(q) = 7*q + 2. What is v*d(r) - 2*x(r)?\nAnswer: 4*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 218805, 218782, 218759, 218736, 218713, 218690?\nAnswer: 218667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 404311101 (base 5) in base 16?\nAnswer: 18f34f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**2. Suppose 2*b - 18 = -12. Let k(x) = -b*x + 6*x + 0*x + 4*x. Calculate u(k(t)).\nAnswer: 98*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.18064 from 1170784.\nAnswer: 1170783.81936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1175643 and 126?\nAnswer: 2351286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaaa when four letters picked without replacement from aaaaaaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.059276 rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -513, -819, -1125, -1431?\n\"Answer: -306*b - 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -182, -215, -248?\n\"Answer: -33*f - 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 445 - 2d?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 66966 and 55671068?\nAnswer: 167013204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -14, 1 in increasing order.\nAnswer: -14, 1, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o + 34 = -6. Let x be 0 + (-1 + 1)\/1. Put -2, x, o in increasing order.\nAnswer: o, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376.3693 kilometers in nanometers?\nAnswer: 376369300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*k = 630 - 1332. Solve 0 = -11*v + 20*v + k for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -253, -507, -761, -1015?\nAnswer: -1269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 3) in base 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.9101092 rounded to two decimal places?\nAnswer: -5.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 14*3013\nAnswer: 42182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -340233, -340237, -340245, -340257?\nAnswer: -340273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 2)*((-535)\/105 + 5)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/10 or 91320?\nAnswer: 91320","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -4*n + 18. What is a(8)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rhj when three letters picked without replacement from {j: 1, h: 2, r: 1, q: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 61910824 and 116?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 - 9?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 - -21. Let j(o) = -t*o + 4 - 32*o - 4. Let p(b) = 47*b + 12 - 6 - 48*b - 6. What is j(p(y))?\nAnswer: 41*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*i - 97*i - 25 = 0. Suppose -q + 4 = -h, 0 = 4*q + 3*h - 11 - i. Solve 6*f = -q*o + 3*f - 11, f = -1 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.496 - 0.004. What is the nearest to 1\/2 in u, 0.4, -0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/17 - 8320*z**2\/17 - 6713000*z\/17 - 1527036000\/17.\nAnswer: -2*(z + 490)**2*(z + 3180)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of j**7\/147 - j**6\/105 - j**5\/35 - 8*j + 4. Solve z(b) = 0 for b.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n + 8. Let u be v(-4). Let a = -14056 - -14064. Solve 5*m + u*p = -7, -2*m + a = -3*m - 3*p for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 8*o**3 - 164*o**2 + 229*o - 23. Determine k(19).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 90\/37417 (b) -4 (c) -1\/9 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 z when four letters picked without replacement from kkzkjjzkk.\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25 - -30. Put c, 2\/11, 5\/6 in decreasing order.\nAnswer: c, 5\/6, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001718892309 to 6 dps.\nAnswer: 0.001719","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3451581.\nAnswer: 3, 7, 54787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 68533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = g - v, -4*v = 4*g. Let k(r) be the first derivative of 0*r**3 + 0*r**4 - 2\/35*r**5 + 0*r + g*r**2 - 5 - 1\/21*r**6. Factor k(c).\nAnswer: -2*c**4*(c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1 and -229374750622054.\nAnswer: -229374750622053.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -2*n - f - 32, n - 8 = 3*f. Suppose -3*z + 23 = 2*r, -7*z + 5*r - 25 = -n*z. Solve z*p + 4 = 14 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 16822644*j. Let b(r) = -r. Calculate b(f(w)).\nAnswer: -16822644*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.0031 to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(243) - -2*(-2 + sqrt(243))**2.\nAnswer: -63*sqrt(3) + 494","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2058, -4172, -6266, -8340, -10394?\nAnswer: -12428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7503356.\nAnswer: 2, 7, 173, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-93)\/(-4) - 9\/36. Suppose 0 = 3*w + u - 71. Solve 5*b = k - 7, -w + 4 = 4*k for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-66)\/(-110)*(-3)\/3\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 0*t + 5*z + z = -5*z + 172, -3*t + 3*z = 45 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31217, 42228, 53239, 64250?\nAnswer: 75261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 + 11*f - 11. What is d(-8)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23635.\nAnswer: 5, 29, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -0.11.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1032\/387 - 2\/(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 36835 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 323 divided by -4.\nAnswer: -323\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 3731317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9599 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xz when two letters picked without replacement from xxzkxxzkxxzzxz?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 6:42 PM?\nAnswer: 7:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63, 220, 463, 786, 1183, 1648?\nAnswer: 2175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 AM and 2:34 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 247\/6 + -41. Let s = 1070.5 - 1071. What is the nearest to -2 in v, 3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -366, 29 in increasing order.\nAnswer: -366, -5, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -11 + 8 + 1 + 35. Let i = r - 65\/2. Which is the third biggest value? (a) 0.3 (b) -1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 16*i**2 + 34*i - 29. Calculate l(-18).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (6*(sqrt(39) - -2*sqrt(4719)))\/((sqrt(3) - (sqrt(3) + sqrt(12)\/sqrt(4)*-3)) + sqrt(27)*2).\nAnswer: -3 + 46*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (252\/(-15))\/14*(-10)\/(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 12070 = 5*n, -3*n + 7263 = -171*a + 168*a. What is the hundreds digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 244458 = 244460?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 13) to base 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b + 4. Suppose 4*t + 3 + 21 = 0. Let q(f) = 1. Let m(j) = t*q(j) + 3*c(j). What is m(5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3*j**2 - 86*j - 20. Let u be f(29). Suppose -2*o + 5*o - 4953 = 0. Suppose -o = -u*c + 842. Is 15 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*(-45)\/(-9)*14\/10. Let a be l + 16 + -2*1. Solve 1 = s - k, a*s + 5*k - 5 = 2*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(187) + -1*sqrt(187)))\/(sqrt(891)*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -220 + 223. Solve -n*c + 12 + 3 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7718 by 4.\nAnswer: -3859\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a meter in centimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 80612333 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*u - u - u)*(4 - 2 - 4 + (0 + 5 - 3)*(-4 - 3 + 6) + 14 + 7 + 26) to h*u + s and give h.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2748 is divided by 2721?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 9*x**2 + 2*x + 3. Let u(a) = 2*a**2 - 135*a - 1812. Let y be u(79). Let n(j) = 5*j**2 + j + 1. What is y*n(b) - 2*k(b)?\nAnswer: 7*b**2 + b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-one halves of a century?\nAnswer: 2550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(5\/3)\/(n*n\/(n\/(n\/(n\/(n**(2\/9)\/n)))))*n*n\/(((n\/((n*n\/(n\/n**(-1\/6)))\/n*n))\/n*n)\/n)*n**3 assuming n is positive.\nAnswer: n**(131\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*h + 111*h + 44*h.\nAnswer: 198*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.910285 rounded to three decimal places?\nAnswer: 4.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 + 28*c**2 + 30*c - 1. Calculate i(29).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 - -19. Let a = 3 - x. Does 0 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 PM and 4:45 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 2 = -f + 5*z, 0 = -5*z - 10. Suppose 4*t - 16*w + 12*w = 20, 2 = -2*w. Let x(k) = 2 - 5 + 16*k + t + 0 - 17*k. Give x(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 137315?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 0.2, -0.1, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) 8 (b) 0.04 (c) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 + 16*u + 8. Determine m(-15).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121996305?\nAnswer: 3, 5, 83, 89, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31.9 + 32. What is the nearest to b in -5, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one tenth of a centimeter?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 396\/7 (b) -3\/8 (c) -5\/2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -71.2 + 51.25. Let t = -0.05 + g. Let j = t - -17. Which is the biggest value? (a) 0.4 (b) j (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29703 and 459.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6001 to the power of 1\/2, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -6503*n**2 + 0 + 0 + 19*n + 3249*n**2 + 3259*n**2. Let r(q) = 5*q. Determine r(a(g)).\nAnswer: 25*g**2 + 95*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*25\/(-15)*2\/15. What is the smallest value in x, 1\/6, 2\/9?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s**2 - s**2 - s**2)*((-5 + 1 + 2)*(-2*s + 2*s + s) - 2*s - 2 + 2 + 3*s + 3*s - 4*s + (2 - 1 - 3)*(-2*s - 3*s + 4*s) + 3*s - s - 3*s).\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 18\/45 - 88\/820. Is -1 less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98445381 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 920, 16474.\nAnswer: -3, 920, 16474","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.12555531 to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -168 + 165. Put -4, m, 1.5 in ascending order.\nAnswer: -4, m, 1.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 724 divide 906448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4612 - -4604. Which is the nearest to v? (a) 1\/4 (b) 65 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 + 4)*(f - 5*f + 0*f) + 33*f - 87*f + 2 - 39*f to the form v*f + o and give v.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2316)\/(-3474)*(-6)\/52.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 2*t + 4*d = 20, -4*t - 4*d + 32 = 0. Suppose -7*q - 10 = -t*q. Solve -4*p + 2 = q*r, r = -p - 0*r - 1 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50588, 50589, 50590, 50591?\nAnswer: 50592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*c + 111*c**3 + 508*c**3 - 39*c.\nAnswer: 619*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 r when two letters picked without replacement from ztreekt.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 594 is divided by 174?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 - f - 17. Let x be b(-9). Suppose 2*j = -1 + x. What is the greatest common divisor of 288 and j?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/11)\/((n\/n**(2\/3))\/n))**(1\/4)\/((n**(-1\/2)\/n**(-8))\/((n*n**(-2\/9)*n)\/n*n**(2\/17)*n)) assuming n is positive.\nAnswer: n**(-18151\/3366)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 80\/21 and -41\/98.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 174793 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j**2 + 11*j. Let n(b) = 4*b - 22. Let v be n(5). Let z be y(v). Let r(k) = -14 - 4*k + 3*k - k. Calculate r(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 4:24 PM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - x = -l - 24, -66*l - 540 - 444 = 2*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.4 - 7. Let m = -0.6 + v. What is the second smallest value in -4, -0.5, m?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of y**4\/12 - y**3\/2 + 3*y**2\/2 + 2*y. Let r = -45 - -43. Let v(i) = i**3 + 2*i - 2. Give r*j(c) - 3*v(c).\nAnswer: -3*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**3 - 2*f**3 + f**3)*(0*f + 0*f - 2*f**2) + 14*f**5 - 13 + 14*f**5 - 31*f**5.\nAnswer: -7*f**5 - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 293 - -590?\nAnswer: 843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of -u**4\/4 - 5*u**3\/6 - 2*u**2. Is f(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*i + 5687 = -739. Calculate the highest common divisor of i and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + 1 - (0 - -1). Let i be -4 - -3 - (-5)\/(15\/9). Let k = -1 - -1. What is the nearest to c in i, k, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of -5*t**8\/672 + t**7\/14 - 13*t**6\/48 + t**5\/2 - 5*t**4\/12 + 10*t**2. Solve z(q) = 0 for q.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a**3\/3 - 12*a**2 - 40*a + 800\/3 = 0.\nAnswer: -5, 4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 331 divide 282012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 + -31 - 1) + -8 + 10?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ihhhtihi. What is prob of picking 1 i and 1 h?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 195 and 1379937?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 378*r - 1708 - 3154 - 808 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 141591, 283951, 426311, 568671, 711031, 853391?\n\"Answer: 142360*o - 769","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = -9 + 29 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31.8 + -30. Let r = v - -1.2. Which is the closest to -0.1? (a) -2\/7 (b) r (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c + 10. Suppose 18*q - 16*q - 12 = 0. Let u be 1 + q\/(-14) + (-475)\/35. Calculate l(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2479 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: Let x = 80997293 + -41326293. Round x to the nearest 100000.\nAnswer: 39700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 979026 + -586705. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-14)\/2*60\/(-21). Suppose 260 = -4*z + 5*z. Suppose 5*u = -0*y - 5*y + z, 0 = -2*y + 5*u + 90. What is the greatest common factor of c and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -4685\/14589?\nAnswer: -4685\/14589","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -13 - 7 - 11 - 24*t + 23*t. Let l be o(-14). Which is the fourth biggest value? (a) 2 (b) 5 (c) l (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 13*v**2 - 1374*v - 1053. Give a(107).\nAnswer: 766","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -201000202 (base 3) in base 11?\nAnswer: -a470","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 44, 13, -14, 2 in ascending order.\nAnswer: -14, -2, 2, 13, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 14 = n + 4, 0 = 4*n. Let k(o) = -o**3 - 5*o**2 - 6*o - 2. Let w be k(-4). Let b(t) = -w + 0*t + 2*t + 5. Calculate b(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*i - 85*i = 364 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 152694309?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0576862 litres in millilitres?\nAnswer: 57.6862","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -18 (b) -0.5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + -3 + -18)*-2. Let s be 1*3 + (-17 - -16). Suppose -z - 4*z + 2*x = a, s*x + 24 = -3*z. Is z <= -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 5*l + 3*x, 0 = -3*l - 440*x + 418*x - 31 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -132993*l**4 - 178792*l**2 wrt l?\nAnswer: -3191832*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 123, 274, 495, 792, 1171, 1638, 2199?\nAnswer: 2860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.52 - 9.77. What is m rounded to 0 decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -427, -1716, -3865, -6874, -10743, -15472, -21061?\nAnswer: -27510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h - 2*h + 6*h - 9*h. Let l(v) = 6*v**2. Give l(g(k)).\nAnswer: 96*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -101100 (base 3) to base 13\nAnswer: -186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + 8*w**2 + 10*w - 7. Suppose 156 = -20*i + 196 - 180. Give h(i).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119 = 5*g + 2*g. Let o be 2*-1 + 70\/1. Calculate the highest common divisor of o and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1007.999451 + -1008. What is b rounded to five dps?\nAnswer: -0.00055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 468497*i**2. Let j(a) = a**2 + 12. Calculate j(h(s)).\nAnswer: 219489439009*s**4 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -j - 397 - 416 + 797 for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - s - 200, 3*b - 14*s = -13*s + 118. Let y(h) = 5*h - 20 - 116*h + b - 21. Let u(p) = 2*p. Determine u(y(z)).\nAnswer: -222*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 3*z + 2, -5*z + s + 4 = -0*z. Suppose -4*m = -z - 7. Let o(i) = -16*i + 1424. Let r be o(89). Sort r, m, -4 in increasing order.\nAnswer: -4, r, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**3 + 13*n. Let x(a) = 509*a**2 + 504*a**2 - 1519*a**2 + 2*a**3 + 506*a**2 + 14*a. Calculate -6*g(f) + 5*x(f).\nAnswer: -2*f**3 - 8*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of -k**5\/20 - k**4\/4 + k**2\/2 - 9*k. Give l(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ioioiiiooo. Give prob of sequence ioii.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 5*n + 7 + 29 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/(-4) + 1*3. Let c be -5 + (0 + i\/(-2))\/(-1). Suppose -32 = -5*y - 12. Sort c, 17, y in decreasing order.\nAnswer: 17, y, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3409 and 108432011.\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 + 23. Sort l, 1, 2, 9 in decreasing order.\nAnswer: 9, l, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iwimummumlfuwmmmui. What is prob of picking 1 i, 1 w, and 1 f?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 20*y + 330. Let b(p) = -3*p - 2. Determine -14*b(l) - 2*w(l).\nAnswer: 2*l - 632","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.11, 42.844, 3 in decreasing order.\nAnswer: 42.844, 5, 3, 0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-4) - (-4)\/(-6). Let x = 3.9 - 7.13. Let t = x - -1.23. Which is the nearest to 2\/5? (a) 1 (b) t (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 1 = 2*x - 1, -3*x = o + 4. Let s = -0.3 + -0.1. Let t = 0.6 - s. Which is the nearest to 2\/7? (a) x (b) 1\/6 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5155.\nAnswer: 5, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -48028 divided by -12007?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 39 + -34. Factor b*w**3 - 27*w + 39*w - 17*w.\nAnswer: 5*w*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -17161*c**5\/4 - 51745*c**4\/2 + 4475873*c**3\/4 + 2350783*c**2\/2 + 35107*c + 266 = 0. What is c?\nAnswer: -19, -1, -2\/131, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 370*j. Let k(o) = o - 1309. What is c(k(q))?\nAnswer: 370*q - 484330","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -9*f**5 + 507*f**4\/7 - 1341*f**3\/7 + 1149*f**2\/7 + 72*f\/7 - 108\/7 = 0.\nAnswer: -2\/7, 1\/3, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008591905 rounded to four dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -723 - -14451. Suppose 7*b = -15*b + j. Is b a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -107 + 217. Does 11 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -5*y - 40, 6 = 4*r - 5*y - 22. Solve 3*h + r = -3 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3153 is divided by 1539?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (10 + 4 - 1 + (-4 - 8 + 1)*(0 - 1 + 3))*(2*v + 4 - 4) as k*v + z and give k.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 1 - 4 = 2*x, 128*h = -6*x + 123*h - 5 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24166 is divided by 756?\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 3*g = -33, -4*t + 0*g - g + 54 = 0. Let n = -6 + t. Solve 0 = -o - 4 + n for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(6\/(-4)*1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 754, 756, 758, 760, 762?\nAnswer: 764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -78*t + 94. Let z be l(-4). Let g = z + -162. Which is the third smallest value? (a) g (b) -0.1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24914562?\nAnswer: 2, 3, 653, 6359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*y**4 - 777*y**3 - 1016 with respect to y.\nAnswer: -32*y**3 - 2331*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - ((-15)\/(-30))\/((-2)\/(-20)). Let u be 1\/(3\/(-12)) - l. Solve -2*z + 4*b = 0, -2*z - 3*b = 6 + u for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -0.1 (b) 0.9 (c) -0.03 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -6 + 1. Suppose 2*j + j = -d*r + 12, 0 = r. Let l = -4 + j. Solve 2*k + 2*k - 12 = l for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 645*h**2. Let w(o) = 4*o**2. Determine w(y(l)).\nAnswer: 1664100*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -5*g + 9. Let x be v(4). Suppose 0 = -3*o, -2*h + o - 36 = -4*h. Let y = h + x. Calculate the remainder when 25 is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -72 (b) -3 (c) -1 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 4 = 6*v. Suppose -3*g + g = 0. Let i be 3\/9 + g + 0. Are i and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7884 + 7884. What is the nearest to z in 2\/5, 21.8, -3\/7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 92329 + -b?\nAnswer: 9231e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -0.1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 41 (base 11) to base 3\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 90 + -45. Let t = g + -128\/3. What is h in 0*h**2 - 5\/3*h**5 - t*h**4 + 0*h - 2\/3*h**3 + 0 = 0?\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 10) in base 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 729*i**2 - 287*i + 7. Is j(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1 - 176\/30 - 20\/(-50) and -41\/4.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k**5 + 48*k**4 + 860*k**3 + 3288*k**2 + 4688*k + 2208 = 0. Calculate k.\nAnswer: -6, -2, -1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pa when two letters picked without replacement from hphpahhppfphhppapa.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from mhmeeejjcj?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 73*s. What is p(1)?\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 12*o**2 - 19*o - 10. Let i be u(10). List the prime factors of (i - 4) + 7 + 63.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) + (sqrt(252) + -2*sqrt(252) + sqrt(252))*4)\/(sqrt(64)*-5 + sqrt(4)))\/((sqrt(72)\/sqrt(2))\/sqrt(4) - sqrt(90)\/sqrt(640)).\nAnswer: -8*sqrt(7)\/133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-263)\/24 - 30\/45 and 20\/7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291016303 rounded to the nearest 100000?\nAnswer: 291000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*d**2 + 165*d - 84.\nAnswer: 3*(d + 28)*(2*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*v**5 + 6*v**4 + 582*v**3 + 652*v**2 + 4*v.\nAnswer: 180*v**2 + 144*v + 3492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -78 - -150. Suppose -4*r - 2*r = h. Let y be r\/3 - (-62)\/18. Which is bigger: -1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.23 and 11491.\nAnswer: 11490.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -13*d**2 + 4*d - 2. Give s(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 179388.5 rounded to the nearest one thousand?\nAnswer: 179000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(90\/(-4)*(-2)\/(-12)). Is -2 <= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 + 12*l**2 - 16*l - 12. Let d be z(-12). What is the highest common divisor of d and 72?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1273.\nAnswer: 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.100914 to two decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 9*t**2 + 9*t + 1. Let g be l(-8). Is g\/(-49) - (-502)\/14 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*c - 1)*(-18 + 29 + 24) - 2*c + 21*c - c.\nAnswer: 88*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - ((-245)\/(-20))\/(-7). Sort i, 2\/5, 0.1, -3 in decreasing order.\nAnswer: 2\/5, 0.1, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*v**3 - 6*v**3 + 3*v - 3*v + 19*v**2.\nAnswer: 2*v**3 + 19*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5624066.\nAnswer: 2, 7, 73, 5503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 92 - 827\/9. Let h = -38 + 38. Which is the biggest value? (a) h (b) x (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*t - 295 + 323 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 1 = f, 5*j + 26 = f. What is the tens digit of (586\/6 - -3)\/((-4)\/j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -29*y**3 - 80*y**2 + 1. Let a(h) = -h**2 - 1. Let j(m) = -a(m) - x(m). Find the third derivative of j(q) wrt q.\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -57, 0.1, 0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 122 and 73322?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39 and 30.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34991, -70028, -105063, -140096?\nAnswer: -175127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 423 (b) -3 (c) 52 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 + 9626?\nAnswer: 962d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -33 + 37 - (2 + -3 + 8)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/4803643 or 1?\nAnswer: 2\/4803643","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/9 and 2 + 2 - (-5)\/60.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 9. Let c be -3*(i - 2\/3). Solve -5*b + 3*w + 20 = 0, 0 = -c*b - 3*w - w - 15 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 121 + -71. Suppose h = 2*k + 3*k. Calculate the smallest common multiple of k and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -21, -36, -51, -66?\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -52, -53, -54, -55, -56?\n\"Answer: -s - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1289 - 1107 = 7*n. Suppose 4*r = 4*k - 3*k + 4, 2*r - 20 = -4*k. Solve -n + 6 = k*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 10, s: 2, q: 2}. What is prob of sequence qhs?\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0289 - 5.0289. What is the biggest value in -19, 4, d?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3 + 66*m**2 - 191*m + 126.\nAnswer: -(m - 63)*(m - 2)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/(-22))\/((-3)\/(-2))*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*m**2 - 1 + 148*m - 111*m + 2*m**3 + 4*m**4 - 36*m in the form l*m**3 + d*m**2 + n + p*m**4 + s*m and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 95\/38*(-6)\/(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 9970*y + 1328. What is the ten thousands digit of s(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*f + v + 3*v + 3, -f + 2*v + 29 = -4*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -24*a**2 + 98*a. Let i be b(4). Solve 120*n - 119*n = -2*l + 5, -5*l = n - i for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19883 take away -477.06826?\nAnswer: -19405.93174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**26\/(w*w**(-11)*w*w) assuming w is positive.\nAnswer: w**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**5 + 4*z**4 + 8*z**3 - 8*z**2 - 4*z + 4.\nAnswer: -4*(z - 1)**3*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 2*x - 3. Let o(t) = t**3 + 4*t**2 + 5*t + 9. Let k be o(x). Let v be 2 + k\/2*(-8)\/(-12). Solve i + 3 = -v*q, 5*q = -i - 3*i - 5 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o. Let v be y(3). Let n(b) = b**3 - 2*b**2 - 2*b. Let c be n(v). Let f(l) = -l + 7 + 2*l - 3. Give f(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13620 smaller than 13619?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 0.14119.\nAnswer: 0.070595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22159985?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 599238576?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 184509 (base 10) to base 16.\nAnswer: 2d0bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.656 rounded to 2 dps?\nAnswer: 0.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*6\/(-33) + 1 + 171\/132?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1566e6a + 1?\nAnswer: -1566e69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - 340414?\nAnswer: -340417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -4*n + 2*n + 5*n. Suppose -8*j + 20 = -4*j + p, 0 = -3*j + p + 15. Let m(s) = 4*s + s - j*s - 3*s. Determine r(m(v)).\nAnswer: -9*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2072731 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - -1 - (-64640)\/(-3535)?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - g + 4, 2*c + 2*g + 8 = 4*c. Let m(t) = -t**3 + 6*t**2 - 4*t - 2. Let q be m(5). Put c, q, 5 in increasing order.\nAnswer: c, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-84)\/(-70)*(-5)\/14?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2)*(-2*k - k + 23*k)*(4*k**2 - 8*k**2 - 9*k**2).\nAnswer: -520*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 - 3. What is the tens digit of m(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47604, 0.14, -10, -5\/4.\nAnswer: -47604, -10, -5\/4, 0.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + (0 - 9) - -41.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48)\/(-320))\/((-6)\/4)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 126.5 + -127. Let l = 288 - 280. What is the third biggest value in t, -4, 0, l?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.3 + -16.3. Let r = 2 + b. Let f = r + 13.3. What is the second smallest value in f, 1\/5, -1\/10?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 142, -169, -348, -329, -46, 567, 1576?\nAnswer: 3047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 49 - 32. Calculate the remainder when 151 is divided by s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11118 divided by 218\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29 - 10 - 22 - i)*(3*i - i**4 - 3*i).\nAnswer: i**5 + 3*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.9309 rounded to one dp?\nAnswer: -30.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/10*(-120)\/(-36). Let w be 4\/(-10) - 4\/(-20). Which is the second biggest value? (a) y (b) -1\/3 (c) 4 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5395, -11208, -17021, -22834, -28647, -34460?\nAnswer: -40273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - n**2 - n + 1. Let i(b) be the third derivative of -b**6\/60 - b**5\/60 - b**4\/12 - 5*b**3\/6 + 53*b**2 + 38. Determine -i(k) - o(k).\nAnswer: k**3 + 2*k**2 + 3*k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + (-4 - (154 + -3 + -4)). Let b = u - -150. Sort 1, -3, b, -5.\nAnswer: -5, -3, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -1794.58436 to one decimal place.\nAnswer: -1794.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 - 8*t**2 + 8*t - 6. Let p be w(-9). Suppose p*d = -s + 6*s + 76, 5*d - s - 112 = 0. Is 17 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 + 8*x + 7. Let y be t(-7). Which is the closest to y? (a) -5 (b) -2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)*2*5)\/(sqrt(4) + (sqrt(4) - (sqrt(32)\/(sqrt(200) + sqrt(8)) - sqrt(4)))).\nAnswer: 60*sqrt(19)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 - 7*x**2 - 4. Let i be w(7). Let q = i - 1. What is the common denominator of 35\/114 and (270\/275 + -1)\/(2\/q)?\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11014*l + 41821*l - 1193*l.\nAnswer: 51642*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*i + 6*i + 2. What is the remainder when -19*i\/(1\/(-3)) is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w**(-2\/11)*w)\/w)\/w)\/w*w)\/(w*w*w*w**5)*((((w\/(w**3\/w*w))\/w)\/w*w)\/w)**(-44) assuming w is positive.\nAnswer: w**(1835\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 11*h + 81*h**2 - 196*h**2 + 75*h**2 + 44*h**2. Let o(r) = -9*r**2 - 22*r. Calculate 5*c(m) + 2*o(m).\nAnswer: 2*m**2 + 11*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20275\/4 + 5128. Let j = d + -1137\/20. Determine y so that -2\/5*y**2 - j*y - 18\/5 = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44 and 7909?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11212 (base 3) to base 13.\nAnswer: -a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2220971?\nAnswer: 2220971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-24)\/84 - 144\/(-14). Let s(o) = f*o - 16*o - 7*o - 12*o. Let b(r) be the first derivative of -2*r**3\/3 - 34. Determine b(s(m)).\nAnswer: -1250*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8608*g*u**3 - g*u**2 - 49*u**2 - 42*u wrt u?\nAnswer: -51648*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1664 + -1656. Solve -7*k + 10*k - g*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.46718, -1\/2, 2\/15, 0.3?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/117 and -1\/1674768?\nAnswer: 65315952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n + 5. Let a be y(0). Suppose -h + 9 = 2*g, a*h + 3*g = 32 - 1. Suppose 3*u - u + 438 = 5*m, 0 = h*u + 20. List the prime factors of m.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (35\/10 - 4)*4. Let k be 46\/10 + 4*(-3 - m). Factor 6\/5*q + 0 + k*q**2.\nAnswer: 3*q*(q + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62744065, 62744066, 62744067, 62744068, 62744069, 62744070?\nAnswer: 62744071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-561336)\/(-46740) + 13*22\/(-715)*(1 - -29)?\nAnswer: 2\/205","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 21 = 4*q, 5*m = 3*q + 23 - 1. Let p(z) = -z**3 + 4*z**2 - 3*z + 1. Let d be p(2). Let x = d - q. Solve 7 = 4*n + h, -x*n + 9 = 5*h + 28 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -0.019 (c) 15079\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25416.53 millilitres in litres?\nAnswer: 25.41653","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3*n**3 - 4*n**3 + 1 + 2 - n**2 - 4*n + 5*n**3 - 5*n**3. Let y be z(0). Solve 0 = -4*w, 0*a - 5*w + y = -a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0831 and 13898.\nAnswer: -1154.9238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of 0 - 11\/24*a**4 + 0*a + 1\/6*a**3 - 10*a**2. Differentiate u(n) wrt n.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4203385 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -4547.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -24*x - 6 + 24*x + 3 + 13*x**4 wrt x?\nAnswer: 52*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13041 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66 + (62 - 118) + -18 + 0 + 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 5, -8584 in decreasing order.\nAnswer: 5, -1, -2, -8584","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -264915951*w**2 + 54067671*w - 1.\nAnswer: -529831902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -229 + 233. What is the biggest value in -2, 0.3, i, 0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20678954, 20678953, 20678952, 20678951?\nAnswer: 20678950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173 = 3*q - 1883. Let u = q + -388. What are the prime factors of u?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2173\/417331 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**3 + 9*u**2 - 6*u + 23. Calculate q(-7).\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o - 8. Let c = -15 + 8. Let k be l(c). Is 110\/(-1)*k\/2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -56.05024 - 0.74076. Let c = -0.1509 - 0.0401. Let k = c - x. What is k rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3020010 - -11?\nAnswer: 3020021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (18 - 0)*3\/9. Let n be (3900\/g)\/(2\/320). What is n rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32793 and 69?\nAnswer: 754239","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 13930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 AM and 10:22 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1412500 and 9040?\nAnswer: 5650000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2 + 3)*(0*c**2 - 2*c**2 + c**2) + (c + c + 0*c)*(-520*c - 76*c + 109*c + (-c + 3*c - c)*(-2 + 5 - 2)) to s*c + n + v*c**2 and give v.\nAnswer: -971","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 116 - 103 - (-4 + 1).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20 + 214?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eny when three letters picked without replacement from {g: 1, y: 2, e: 1, m: 1, n: 2}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 9, v: 11}. Give prob of sequence ov.\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000662142653 to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-6*(-3)\/(-207)))\/((-6)\/12).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*4\/(-24))\/((-44)\/(-66))*12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 96525, 386138, 868841, 1544634?\nAnswer: 2413517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f**2 - 18*f**4 - 6*f**4 - 3*f**2 wrt f?\nAnswer: -576*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-679 + 679 + 141*i)*(-1 + 1 - 3).\nAnswer: -423*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -2, -1, 42 in decreasing order.\nAnswer: 42, 2, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**2 + 533 + 176 + 501 - 185 as l + b*z**2 + y*z and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, 6, 18, 8, -30?\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.113101 to 3 dps.\nAnswer: -0.113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/202 and 5\/52.\nAnswer: 5252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 3*i**5\/5 - 34*i**4\/5 + 56*i**3\/5 + 66*i**2\/5 - 27*i\/5 = 0.\nAnswer: -1, 0, 1\/3, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -576 (base 13) to base 8\nAnswer: -1656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3756, 15403, 34820, 62007?\n\"Answer: 3885*q**2 - 8*q - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 805732.3ug in milligrams?\nAnswer: 805.7323","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o - 4632 + 14334 = 0. Is o a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -76372 (base 9) to base 16.\nAnswer: -c5b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s**2 + 3*s**2 + 84 + 3*s**2.\nAnswer: 3*s**2 + 84","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -1\/4, -1.5, -1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 241*c - 8. Calculate k(-1).\nAnswer: -249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12.6 - -12.9. What is the second biggest value in -14, f, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1959 - -4082. Suppose 4*d + 7*d - c = 0. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -328*p**2 - p**4 + 378*p**2 - 2*p + 12*p**3 + 0*p**4 + 9*p**3 wrt p.\nAnswer: -24*p + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2*m - 122 = 0, 225*m = 229*m + 16. What is the highest common divisor of 30 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 - 4)*-1 + 56\/(-7). Let s(z) = -z**2 - 4*z + 1. Determine s(n).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 2 = -s, -3*t - 8*t + 22 = 2*s - s for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -198.685*-1.9.\nAnswer: 377.5015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 2*y - 1, 4*y = y + 5*v - 9. Suppose 2*s = 3*z - 379 + 1203, s + 4*z = 423. Let c = -412 + s. Solve 4 = y*m, 0*a + 4*a = -c*m - 10 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 3 v when four letters picked without replacement from {t: 1, o: 5, l: 6, k: 4, v: 4}?\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4588, -4721, -4854, -4987?\n\"Answer: -133*y - 4455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2655239 divided by -20269\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 236397252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**5\/5 - 18*x**4\/5 - 42*x**3\/5 + 34*x**2\/5 + 204*x\/5 + 144\/5 = 0.\nAnswer: -4, -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 18*z**2 + 1385*z - 162565. Calculate o(-141).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4209296 divided by -71344\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -215261*x + 215261*x + 16 - 17 - 63*x**2.\nAnswer: -63*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 12*f - 16*f + 14 = 0, 2*o + 4 = 2*f. Let k be (4 + (-210)\/50)\/(o\/(-10)). Let a = 25 + -18. Solve -a*y - 9 = -3*y - d, k*y = -2*d - 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*t - 0. Let i(o) = o + 1. Let b(k) = 3*k**2 + 4*k - 1. Let g(s) = t*i(s) + b(s). What is the remainder when 47 is divided by g(-3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -7*z**3 - 22*z**2 + 17*z + 12. Let c(o) = 10*o**3 + 33*o**2 - 26*o - 19. Let l(k) = 5*c(k) + 7*u(k). Is l(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16821.\nAnswer: 3, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 112 and 94?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 3:32 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -4*l**3 + 52*l**2 - 84*l - 40. Let j be a(11). Solve -g = 2*x + 2, 2*x = -j*g + 6*x + 16 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 500470?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -446, -1733, -3050, -4409, -5822, -7301, -8858, -10505?\nAnswer: -12254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 - 78. Let t = 650\/11 + z. Calculate the common denominator of t and 65\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.33 (b) -5 (c) 0.4 (d) -4 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 384218654?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 7*u + 5. Suppose 0 = y - 3 + u. Differentiate -6 + 4*r**3 + 11*r**y - 11*r**2 with respect to r.\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 171 - 49 + 2*y - 64 - 58.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 952\/40 - 3\/(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*d**3*l - d**3*u + d**2*l**2*u + 128*d*u - 7*l**2*u + 2 wrt l.\nAnswer: -3*d**3 + 2*d**2*l*u - 14*l*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a milligram in micrograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7258 and 15471.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.6 and 126.2?\nAnswer: -75.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + b = -19, 75*b = 2*v + 72*b - 27 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 9:28 AM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 14\/10 + (-4)\/10. Suppose -u - 8 = -a. What is the remainder when a is divided by (1 - 0\/(-3))*5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 7) to base 14\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -619*d**2 + 619*d**2 + 17 - 40 - d**3 + 23.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2046445 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) + sqrt(88) + (sqrt(88) + (sqrt(88)*-1 - sqrt(88)))*-4 - sqrt(88))\/sqrt(11)*2 + 2)**2.\nAnswer: 80*sqrt(2) + 804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*x + 4320 = -5231 + 2877 for x.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 90, 333, 876, 1869, 3462, 5805, 9048?\n\"Answer: 25*n**3 + 68*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3 + 0 - 2)*(2*v + 2*v**2 - 2*v) + 2*v - 2*v - v**2)*(-127 + 93 + 17 - 8*v**2) as x + n*v + c*v**4 + i*v**2 + q*v**3 and give i.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1514*u + 1660*u - 149178 for u.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 307908706 to the power of 1\/5, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**2 - 23*n - 242. What is the remainder when 1\/(-2) - (-125)\/2 is divided by s(-7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) - sqrt(20)\/sqrt(250))*-2)**2 + 1 + -4.\nAnswer: 53\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + -2. Let m = b - -5. Let l = m + 0.0000028. Round l to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(4\/7)*g**0*g)\/(g**3)**17)**(-26) assuming g is positive.\nAnswer: g**(8996\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 1584260*w - 14. Give c(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, 40, -3 in decreasing order.\nAnswer: 40, -3, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 214\/10 + (-213)\/(-355). Let v(d) = -4*d - 8*d - 12*d + q*d. Let j(m) = 113*m**2 + 2. Calculate v(j(c)).\nAnswer: -226*c**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33671*v**2 - 29*v**5 - 19*v**3 - 33671*v**2 + 2006*v wrt v.\nAnswer: -580*v**3 - 114*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 10 = 21*l - 16*l, -388*v = -l - 382*v + 28 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -86 - -87. Calculate the common denominator of 31\/14 and (-32)\/(-22) + -2 - (-2 + h).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 106c9 (base 14) to base 15\nAnswer: bbb4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12280 is divided by 118.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 515653?\nAnswer: 515653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**2\/3 + 44*x\/3 + 92\/3 = 0.\nAnswer: -2, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -1, 0, 9, 49.3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 206, 203, 200, 197, 194, 191?\nAnswer: 188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 60\/(-350)*(-225)\/90\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -106 + 281. Suppose 4*n - 156 = -5*c + t, -3*n - 3*c + 249 = 0. Is n a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144*o - 846 - 141*o + 846 + 27*o.\nAnswer: 30*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 82*j - 86*j + 148. Let q = 55 - j. Calculate the smallest common multiple of q and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*x**4\/5 - 52126*x**3\/5 + 104231*x**2\/5 - 52112*x\/5.\nAnswer: x*(x - 1)**2*(7*x - 52112)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 378*f**2 + 12*f. Let s(u) = u + 4. Let n(w) = -6*w - 32. Let l(h) = n(h) + 8*s(h). Give l(c(x)).\nAnswer: 756*x**2 + 24*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -78785392 - -2534.848\nAnswer: -78782857.152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 0*u = 3. Let c = -44858 + 44856. What is the third biggest value in 0.3, u, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-5547.\nAnswer: 22188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - (-6 + 15 + 17).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/2, -2\/19, 0.06, 2\/19, 2, -4, 670?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*o = o + 58 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, -50, 1\/4, 0.29?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 7)*(-b**4 + 3*b**4 + 0*b**4) + (0 + 0 - 3*b**2)*(0*b**2 + 3*b**2 - 4*b**2).\nAnswer: -9*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3195 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: In base 10, what is -5 + -104?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*a + 2. Suppose 6 = a*k + 5*d, 0 = d - 3*d - 4. Suppose -k*q = -2*q. Which is smaller: 0.2 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 2281, 0 in decreasing order.\nAnswer: 2281, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/((-63)\/12)*-1*3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 10*w - 7. Let x be v(9). Let r = -58 + x. What are the prime factors of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d. Let z be r(5). Sort 3, -4, z in descending order.\nAnswer: z, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5838814 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b - 2290 = 790. Calculate the lowest common multiple of b and 80.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 10:25 AM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2993*i + 3007*i = 264054. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 2\/5, -152 in increasing order.\nAnswer: -152, 2\/5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -1015.74525.\nAnswer: -1015.74525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/20 and 123\/819486280.\nAnswer: 819486280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 + -2.9. Let q = 8 + m. Sort q, -0.3, 2 in descending order.\nAnswer: q, 2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x + 27. What is the remainder when 24 is divided by c(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**2 - z**2 - 2*z**2 + z**3 to d + y*z**3 + b*z + f*z**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-8*u**2 - 3*u + 3*u)*(u**3 + u**3 - 6*u**3) + 3*u**4 - 2*u**5 - 3*u**4)*(-2 - 4 + 4).\nAnswer: -60*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 4*q. Let l(f) = -14*f + 1. Let i(c) = 25*c - 2. Let m(z) = 3*i(z) + 5*l(z). Give m(g(u)).\nAnswer: 20*u - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 898*m**5 + 8*m**4 - 1090*m**2. Let u(p) = -898*p**5 - 7*p**4 + 1090*p**2. Let q(x) = 6*d(x) + 7*u(x). Find the third derivative of q(n) wrt n.\nAnswer: -53880*n**2 - 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/((144\/(-5))\/(-24))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38516*a**4 + 1590*a - 2.\nAnswer: -462192*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 4*w + 2. Give f(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p. Let s(j) = 3251*j. What is u(s(f))?\nAnswer: -3251*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 + 13*c**2 - 14*c - 16. Suppose 5*n - 12 = 48. Let d be w(n). Let b be d\/(-12)*6\/4. Put b, -1, -3 in ascending order.\nAnswer: -3, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 102 = 3*v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 5*r - 2. Let o be w(4). What is the second smallest value in o, -0.1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*a + 0*a - 5*a)*(105 - 29 + 21) + 14*a + 0*a + 16*a.\nAnswer: 127*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 914.\nAnswer: 2, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 694 and 1\/4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -13*t**3 - 11*t**2 - 7*t - 3. Let o(q) = 116*q**3 + 100*q**2 + 62*q + 26. Let k be -2 + -3 - (-5 + 6). Let p(b) = k*o(b) - 52*h(b). Factor p(j).\nAnswer: -4*j*(j + 1)*(5*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 12 - 12 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.69 + -575.69. Let h = -571 - u. What is the third smallest value in -1\/3, h, 13\/2?\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1238, -1137, -962, -713?\nAnswer: -390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o - 3*l + 8*l + 15, -3*l - 17 = o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from lallalal?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7567473857 to the power of 1\/2, to the nearest integer?\nAnswer: 86991","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -153, 1, 6.\nAnswer: -153, -1, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.8, -5, -7436.61 in increasing order.\nAnswer: -7436.61, -5, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -11010001010111100111101 (base 2) in base 15?\nAnswer: -907b8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/8 in -3, 0.3, 637, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 4*t = 0, 0*t = -3*p - 0*t + 4*t for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/5994 and 71\/168.\nAnswer: 167832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 3*s**2 + 3. What is z(-5)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -290, -2267, -7606, -17975, -35042, -60475, -95942, -143111?\n\"Answer: -278*v**3 - 13*v**2 + 8*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 9, 5, 0 in ascending order.\nAnswer: 0, 5, 9, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2294 is divided by 100?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27 - -27. Suppose j = -2*s - 3*s + 5*z + 180, -5*s - z + 192 = 0. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of 5\/12*x**4 + 0*x**3 + 0 + 0*x**2 - 1\/20*x**5 + 2*x. What is the third derivative of n(j) wrt j?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -53*i**3*s**2 - 4*i**3*s + 22*i**3 wrt s.\nAnswer: -106*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 103858877?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*y**2 + 7*y**3 - 8*y**2 + 2*y**2 wrt y.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -234, -124, -4, 10, 4 in decreasing order.\nAnswer: 10, 4, -4, -124, -234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 + 4*h. Let j be g(3). Let c be (1 - (-639)\/6)*-15*8\/(-100). Calculate the highest common divisor of c and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1011 divide 14405935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-60)\/(-15)*4\/(-16)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 11 - 3 + 7*y - 3*y - 3*y. Let k = -13 - -8. Determine z(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of 2*p**3 + p**2 + 17. Let h(x) = x**2 - x. What is d(v) - 5*h(v)?\nAnswer: v**2 + 7*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -209 + 218. What is the nearest to -1 in b, 5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4716 and 72?\nAnswer: 9432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 + (-1)\/(-1))*6\/(-9). Suppose 2*w + 28 = 4*w. Suppose -3*j + w = 4*k, 8 = s*j + k + 2. What is the highest common divisor of j and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*t**2 - 4*t**2 + 0*t**2 + (-6*t + 10 - 10)*(3*t - 1 + 1) to a*t + s*t**2 + c and give s.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*t = 20*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 198*j**2 + 4942*j - 205. What is x(-25)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*a**2 + 10*a**2 - 25*a**2 - 1.\nAnswer: -37*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of m**3\/6 - m**2\/2 + 4*m + 803. Let w(k) = -59*k**2 - 4*k + 4. Give -4*i(g) - w(g).\nAnswer: 59*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (195 - 108 - 122)*((0 - 3 + 2)*(-4 + 4 - 2*u) + 4*u + 0*u - 2*u + 2*u - 3*u + 2*u) as g + s*u and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-4)\/(((i*i**3\/i*i)\/i)\/i)*(i*i*i*i**(-1\/6)*i)\/(i\/i**(-6)) assuming i is positive.\nAnswer: i**(-55\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - g = -5*a - 179, 5*a + 304 = -4*g. Let o = a + 36. Calculate the remainder when 40 is divided by o\/(-18)*(-6)\/4 + 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - -18. Let j = p + -3. Let l(r) = 4*r - j*r - 2*r**2. Let i(t) = t**2. Calculate i(l(c)).\nAnswer: 4*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b + 2. Let k be g(4). Let q = 21 + -11. Let z be (q\/k)\/((-11)\/54120). What is z rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 2 - (1 + (7 - 4) - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -3*i**3 + 12*i**2 - 26*i - 156. What is b(-5)?\nAnswer: 649","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from sessoolleooleell.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6427 or 6423?\nAnswer: 6427","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, 0.7, -0.5, 5, -283?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 k when two letters picked without replacement from {q: 1, m: 3, k: 2, u: 8, a: 5, g: 1}.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63327 = 5986*x - 229*x for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - p = 20. Suppose -29 + 134 = p*d. Suppose -q + d = 2*q. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -91*w + 1797. Is b(6) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3458 and 266?\nAnswer: 3458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -104 (b) -38 (c) -40.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -10684, -10682, -10680, -10678, -10676?\n\"Answer: 2*c - 10686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1233 - 20955\/17. Let z be 9\/6*(-755)\/165. Let b = -98\/33 + z. What is the common denominator of b and p?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4158*b + 3 + 3 = 4161*b, -b - 1 = -r + 2*b for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 33087839179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 144, -10277, -1.5, -3\/5?\nAnswer: 144","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 171259743 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2*(2 + sqrt(833)) + sqrt(833) + (0 + sqrt(833))*-1)*-5 + -4)**2.\nAnswer: 97440*sqrt(17) + 3012256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 44404 - -2301?\nAnswer: 102210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 104140 or 104150?\nAnswer: 104140","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(4\/5)*u**(-6))\/((u\/((u*u**(-6))\/u))\/u*u*u**8) assuming u is positive.\nAnswer: u**(-101\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -297*s + 853. Give k(7).\nAnswer: -1226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 760986 and 3618?\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/3 (b) -2 (c) 2\/11 (d) -57 (e) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x + 1. Let q be 4\/5*((-21)\/(-2) + -8). Suppose -s + 4*s = 2*j - 22, -q*s + 3*j = 18. What is k(s)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 2*s - 2*s)*(2 - 2 + 2)*((2 - 2 - 1)*(0 + 2 + 0) + 28 - 28 - 30).\nAnswer: -128*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-138)\/21 + (-52)\/(-91)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 - 5*s**2 - s - 1. Let x be i(-6). Suppose -2*g + 89 = -x. Suppose 5*f + 4*l - g = 0, -f - 5*l + 0*l = -34. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 - -42. Let w = 3 + -3. Suppose b = -w*q + 2*q. Calculate the least common multiple of q and 11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q - 14*q + 108 = 0. Suppose 0 = -q*g + 38*g - 1516. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1353034 - 8?\nAnswer: 1353028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 219860 divided by -109930\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**(-5)*m))**(-18\/7)*m**(1\/40)\/((m\/(m\/m**(-25)))\/m))**(-11) assuming m is positive.\nAnswer: m**(-40557\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 4*h + h = 232, 0 = 4*x - 3*h - 185. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8982 + -8981.8. Which is the nearest to -1? (a) -4 (b) i (c) -45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 7:46 AM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165*n - g - 3 = 166*n, -5*n - 11 = 4*g for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 9, h: 2}. Give prob of sequence hmh.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -127+9\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1010110 + -102?\nAnswer: -1010212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**5 - 2*i**5 + 4*i**5 + (-1 + 1 - 2*i**4)*(i + i + 0*i) + 4*i**5 - 4*i**5 - 3*i**5 - 2*i**5 - i**5 + 2*i**5.\nAnswer: -7*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + 15\/(-4 + 7). Suppose 0 = -4*j + l*v + 8, 5*j + v = 3*j + 4. Solve b + r + 12 = -3*b, 0 = j*b - 5*r + 28 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-29)\/6 - 0) + (-2)\/12. Let a = -1 - f. Solve a*o - o = 9 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-3225)\/3440)\/(1\/8))\/(5*-1)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/124241800 and -123\/124241800.\nAnswer: 124241800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 + 14 = z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 k when three letters picked without replacement from {a: 1, k: 11}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -5\/44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 89689 divided by 89689.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/9))**(9\/10)*(i**(2\/9))**(2\/57) assuming i is positive.\nAnswer: i**(-493\/2565)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.189, 0.2, -1.\nAnswer: -1.189, -1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -170199 rounded to the nearest 100?\nAnswer: -170200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 20809, 20769, 20703, 20611?\n\"Answer: -13*y**2 - y + 20823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-5) - (24\/(-15) + 0). Let z(p) = 14*p**k - 3077*p + 3077*p + 14*p**2. Let m(d) = d. Determine m(z(y)).\nAnswer: 28*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oah when three letters picked without replacement from {a: 7, k: 1, h: 2, z: 2, o: 4}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 56 = 4*l, 64 = 5*g - 2*l - 0*l. What is the highest common divisor of g and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 14*o**2. Let w(d) = -d**2 - 5*d - 2. Let n be w(-4). Let z be 3\/7 - 128\/(-28). Let u(v) = n*v - 3*v - v + z*v. Determine q(u(f)).\nAnswer: 126*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 23 - 23 - 31*q**2 in the form w + f*q**2 + d*q and give f.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 26*q - 1. Let k(y) = 2*y. Calculate k(x(i)).\nAnswer: 52*i - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 34688 to the power of 1\/2, to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 886539?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(832) + (1*sqrt(468))**2.\nAnswer: 8*sqrt(13) + 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/y**(11\/6))\/y*(y\/(y\/y**(9\/4)*y))\/y*((y*y\/y**(-13))\/y)\/(y*y**5\/y*y) assuming y is positive.\nAnswer: y**(89\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**3 + l**2 - l**2)*(l + l**2 - l) - l**5 + 0*l**5 + 3*l**5 + 552*l**5 - 827*l**4 + 827*l**4 + 0*l**5 + 2*l**5 - 3*l**5.\nAnswer: 552*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 221?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 3 + (-1 - -1) + -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1925266574 and 847.\nAnswer: 847","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) -0.08 (b) 396 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 4 - 20 = 0. Suppose 0 = 5*w - y - 18, 3*w - y - h = 4. Let g = -4 + 6. What is the lowest common multiple of g and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + 3)\/((-2)\/(-6)). Suppose 3 = -v*n + 18. Let p = 7 + 23. What is the highest common factor of n and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(343) + (sqrt(343) + 0)**2 + sqrt(343) - (-2*sqrt(847))**2.\nAnswer: -3045 + 14*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -38612884, -38612885, -38612886, -38612887, -38612888?\n\"Answer: -c - 38612883","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -230546 and 127988.\nAnswer: -102558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 3*x - 220, -4*d - 2*x + 111 = -109. Calculate the remainder when 175 is divided by d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p - 1. Let q be g(-5). Let i be (-52)\/13 + 2*4. Is q < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 55 + -55.2. Let l = 403 + -403.1. What is the nearest to -1\/2 in 0.2, q, l?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/539)\/((20\/(-42))\/((-6165)\/3699)).\nAnswer: 1\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h\/((h*h**(-2\/43))\/h))*h**(-6\/5) assuming h is positive.\nAnswer: h**(-268\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3081 - -5214. Let m = -728 + u. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 91 and 78601211.\nAnswer: 550208477","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 3*c = -y + 934, 0 = -3*y + c - 1412. What is y rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.074 + -0.774. Put 3, -5, h in increasing order.\nAnswer: -5, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5390900773 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 11*w - 6. Let p(f) = -f + 1. Let d(l) = -c(l) - 6*p(l). Let g(h) = h**2. What is d(g(q))?\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -6*k - 9. Let b(z) = 2*z**2 - 44*z - 48. Let i be b(23). Let u be q(i). Solve u*v = -v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32738980 rounded to the nearest 100000?\nAnswer: -32700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5159086 + -356.\nAnswer: -5159442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -7*c + 129. Let b be r(17). Solve -b = 2*o - 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - (0\/(-1) + 35). Let i = o - -69. Calculate the greatest common factor of i and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttzhtzz. Give prob of sequence ztt.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - (-1 - 0))*5. Suppose 21 = 4*d + 3*n, t*d - 3*n - 12 = -2*n. Suppose -d*o + 102 = -o. Is o a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 704 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 33440 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -7722*o - 231679. Give g(-30).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 46137, 45961, 45659, 45225, 44653, 43937, 43071?\n\"Answer: -h**3 - 57*h**2 + 2*h + 46193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 5:05 AM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 2 - 12. Let g be ((-64)\/h)\/(16\/120). Let l = g - -131. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -0.36 (c) -2 (d) 18 (e) 5 (f) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -197552, -790186, -1777902, -3160700, -4938580?\nAnswer: -7111542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 3 + 2)*(0*c + 3*c - 2*c) - 3*c + 6*c + 2*c)*(0 - 2 + 3)*(7 - 4 + 2).\nAnswer: 30*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20\/7 and -38\/17003.\nAnswer: 17003","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -6*n + 4. Let u(v) = -5*v + 4. Let t(z) = -6*j(z) + 7*u(z). Suppose 19*d - 25*d = -48. Let x be t(d). Solve 2*o + x = -2*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -398, -1610, -3636, -6476?\n\"Answer: -407*i**2 + 9*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/11)*t)**(-2\/3) assuming t is positive.\nAnswer: t**(-6\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 37\/61? (a) 4\/5 (b) 13 (c) -2 (d) -0.5 (e) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10154228 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -1, -4, -0.19, 2?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3337.3 - -1957\nAnswer: -1380.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*o + 0*o + o)*(4 + 2*o - 4) to x + p*o**2 + c*o and give p.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -96*k**3 - k**2 + 3*k - 2. Let y be l(1). Let s = 110 + y. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 201656, 205339, 209022, 212705?\nAnswer: 216388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z**3 - 5*z**2 - 5*z + 5. Let w(a) = 3*a**3 - 6*a**2 - 6*a + 6. Calculate 6*k(g) - 5*w(g).\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -125.5028787 take away 41.447?\nAnswer: -166.9498787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 16*t**3 - t**2 + t + 1. Calculate j(1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -883\nAnswer: 5\/883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15.4 + 15.4. Let h = -3 - -2.9. Let r = h + 0.1. Is u less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -542, 1, 2, -7, -5.\nAnswer: -542, -7, -5, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23420010 - 10?\nAnswer: -23420020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/5))**30*(c**(-1))**(-5\/14) assuming c is positive.\nAnswer: c**(-163\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 PM and 10:19 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vttvtwqtwvwtqut. What is prob of sequence vwv?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 952*u + 6733. Calculate x(-8).\nAnswer: -883","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 861131, 1722288, 2583445, 3444602?\n\"Answer: 861157*n - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j - 7 + 31 - 17 - 15*j - 7 + 16*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - l + 215 - 8007, -2*l = 13*n - 101236. What is the thousands digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of -b**7\/70 - b**6\/40 + 83*b**5\/20 - 279*b**4\/8 + 99*b**3 + 11*b**2 - 10*b - 11. Let p(o) = 0. Calculate o.\nAnswer: -11, 1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of i**5\/20 - 5*i**4\/12 - 5*i**3\/6 - 7*i**2\/2 + 2*i. Suppose -2*j + p + 12 = -2*p, -24 = -4*j + p. Calculate k(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 360*j**2 - 711*j + 1767. Calculate u(-358).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -6\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x. Let c = -6 - -11. Let o(s) = -2*s + c*s + 0*s. What is h(o(a))?\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/(-7) - ((-23)\/(-7) + -3). Let b(v) be the second derivative of -v**4\/6 - 9*v. What is b(z)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + l + 6333 = 0, -2*l = -18*z + 17*z + 1263. Calculate the highest common factor of z and 724.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 133, 265, 399, 535?\n\"Answer: q**2 + 129*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*n = -99*n + 161*n - 90 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2724842 is divided by 2724832.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16550?\nAnswer: 2, 5, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4680, 2627, 574?\nAnswer: -1479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 38, 44, 50, 56?\n\"Answer: 6*l + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 - (-2)\/((-8)\/(-6))*-2. Suppose 0 = 5*s + 3*i - 295, p*s = -i - i + 122. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1539850 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 3*h - 12. Suppose 5*x = 3*i + 2*i + 30, 0 = -3*x - h*i + 3. Solve 2*r - x*m + 4*m = -11, 3*m - 17 = 4*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - 0 - (174 - 181).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of -1\/20*m**5 + 6*m - 3\/2*m**2 + 7\/6*m**3 + 0 - 3\/4*m**4. Does 27 divide z(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 654 (base 7) in base 4?\nAnswer: 11031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 47900 and 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1*(0 + -14))\/((-1)\/6). Let c = s + 89. Solve x + 13 = 2*m, 0*m - c*x - 29 = -m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 3*y + 112. Let r = -38 - y. Suppose -4*p + r = -10. Calculate the remainder when 18 is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 3 - 9 = 2*u, -u = 0. What is the second derivative of -6*q**j - 8*q**5 + 14*q + 11*q + 1 - 30*q + 24*q**5 + 12 wrt q?\nAnswer: 320*q**3 - 72*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/14)\/((-42)\/(-147))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29991817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5*u = -12, 0 = -2*u - 8. Let f(l) = l**3 + 8*l**2 + 6. Let h be f(w). Suppose h*g - g = 20. Sort 3, g, 5.\nAnswer: 3, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1354397635 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35077818?\nAnswer: 2, 3, 5846303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is bd (base 14) in base 4?\nAnswer: 2213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 681*d**3 + d - 679*d**3 - d.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ecceecewewwecewccecw. What is prob of picking 4 e?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.29 + -1.99. Let v = -117 + 116.5. Put 5, i, -3, v in increasing order.\nAnswer: -3, v, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 + 115*x + 862. Determine b(-8).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 133300318 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**3 + 0*r**3 - r**3)*(-2*r**2 - 5*r + 5*r)*(-152 - 17 - 4).\nAnswer: -692*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1553655989?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 462 - 462. Factor 0 + d*t + 2\/9*t**4 + 4\/9*t**2 - 2\/3*t**3.\nAnswer: 2*t**2*(t - 2)*(t - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63151 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 1898 = -q, 0*q - 3*q + 3 = 0. Let r = 14557\/23 - v. Let m = 46 + -137\/3. Which is the third smallest value? (a) r (b) m (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.5 + 723733.\nAnswer: 723734.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 8*n - 1. Let u be b(6). Let o = u - 28. Calculate the remainder when (-2398)\/(-33) + 2 + (-24)\/9 is divided by o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, 5, -8\/5, 1\/4 in increasing order.\nAnswer: -8\/5, -2\/13, 1\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/2*44\/11. Let r = -3 - y. Let p(c) be the second derivative of 7*c**3\/6 - 2*c - 50. What is p(r)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -153620 divided by -30724?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 5 + n + 0*n)*(-47*n + 260*n + 59*n).\nAnswer: 544*n**2 + 1360*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5146 = 165*f + 1351 for f.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -n + 2*v + 40, -4*n + 3*v = -78. Suppose 0 = o - 4*o + n. What is the third derivative of m**2 + 0*m**6 + 0*m**6 + m**o wrt m?\nAnswer: 120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 609805, -3, 3, -2 in descending order.\nAnswer: 609805, 3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.024 + 0.216. What is the smallest value in -10, 0.1, u?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/3 + 6118*p\/3 - 2040.\nAnswer: 2*(p - 1)*(p + 3060)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2343327.6721 less than -415?\nAnswer: -2343742.6721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 6. Let u be 14\/v - (-12)\/(-18). Solve n - 5*n - 4*l = u, 1 = -n - 4*l for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.012 - 24.988. Let z = a - -38. Let t = z + -12.8. What is the nearest to -1 in 2\/9, t, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141 + 1515*n - 3150*n**2 + 3142*n**2 - 1515*n.\nAnswer: -8*n**2 + 141","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-237)\/3634)\/(3\/4) - 67\/23\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 4*p**2 - 111*p + 386. Calculate the remainder when 2599 is divided by u(24).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -5, 8, 1346, -152 in decreasing order.\nAnswer: 1346, 8, 3, 0, -5, -152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 + 0*d**2 + 0*d**2)*(d - d - 2*d)*(3 + 3 - 7).\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 371530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 41462085?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 18\/(-12)*-4 + 0. Calculate the highest common factor of 6 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39020*n**3 + 2*n**2 - 39005*n**3 - 2*n**2 + 78009*n**3.\nAnswer: -16*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23337 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1))**(1\/5)*(c\/(c*c**(-4\/9)))\/(((c\/(c\/c**2))\/c)\/c) assuming c is positive.\nAnswer: c**(11\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 5 - 4)*(-3*b - 17 + 17) + 0*b - 4*b + 0*b)*(-402*b**4 + 820*b**4 - b**3 + 242*b**2 - 420*b**4).\nAnswer: -4*b**5 - 2*b**4 + 484*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 2*g - 108, 5*a - 8*a + 174 = -3*g. What are the prime factors of a?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of 0*b**5 - 90 + 31*b + 0*b**4 - 71\/6*b**6 - 3*b**2 + 0*b**3. What is the second derivative of l(y) wrt y?\nAnswer: -1420*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + c7?\nAnswer: c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-20)\/50 + 229022\/(-6920). Let i = j + -3\/692. Find the common denominator of 41\/6 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29367?\nAnswer: 3, 13, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.03398 + 0.43398. What is the closest to 31 in -2\/19, u, -2\/13?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w - 115. Let g be q(13). Let b(n) = -76*n + 25. Let u be b(2). Which is smaller: g or u?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(162) + -3 + -3*(sqrt(98) + 0)**2.\nAnswer: -296 + 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, -2, -67, 0.1 in decreasing order.\nAnswer: 2, 0.1, -2, -3, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d**3 + d**2 - 4*d + 6. Let x(n) be the third derivative of -n**6\/120 + n**4\/24 - n**3\/6 + 28*n**2. Give -q(c) - 4*x(c).\nAnswer: 2*c**3 - c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 6*f**2 - 107*f - 683. Give s(-10).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -l**2\/6 + 344141*l\/3 - 118433027881\/6 = 0?\nAnswer: 344141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 g when two letters picked without replacement from {j: 1, q: 2, b: 1, o: 1, m: 1, g: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 48907 bigger than 48906?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (6 - 6 - -5) + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10 - -14) + (-44)\/13 + 0. Let 2\/13*o**2 + 8\/13 + j*o = 0. What is o?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 - 8*n - 59. Let j be c(-5). Let q be (-1 - (-8 + (j - 1)))\/2. Which is greater: q or -1\/282?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12 - 601610131?\nAnswer: -601610143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 8*l = 3*l + 141, -p = l - 78. Let z(s) = -8*s - 22. Let c be z(-13). Is p bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15292 - -28059. List the prime factors of b.\nAnswer: 17, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -77*o + 305 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1985?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 14*b**2 + 17*b - 11. Let o(q) = -100*q + 199*q - 5*q**2 - 105*q + 4. Let x be 0 + -2 - (-1 - 4). Suppose 34 = x*v - 5*v. Determine v*o(p) - 6*k(p).\nAnswer: p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 419857 to the nearest integer?\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - 11*h**2 + 3*h + 53. Let b be a(-11). What is the second derivative of -20*f + b*f - 59*f**3 + 104*f + 202*f**3 - 97*f**3 wrt f?\nAnswer: 276*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*x**2 + 1968828298 - 3937656597 + 1968828299.\nAnswer: -41*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72732 is divided by 195?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49)\/(sqrt(7)*-1) - sqrt(28)\/(sqrt(16)\/sqrt(4)))**2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)\/(sqrt(5) + sqrt(25)\/sqrt(5)) + sqrt(2057)*-1 + -2*(2*4*sqrt(17) + sqrt(17)))**2.\nAnswer: 55233\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + 10. Let p(l) be the second derivative of l + 0*l**2 + 0*l**3 - 17 - 7\/12*l**4. Determine p(x(s)).\nAnswer: -7*s**4 - 140*s**2 - 700","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -7538 (base 10) to base 4\nAnswer: -1311302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 76677 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 12*t**3 - 2*t**2 + 5*t - 4. Calculate the remainder when v(1) is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*i + 34*i + 15372. Let l = 554 + i. Solve 4*x = 5*v + 20, 2*x + 25 = 7*x + l*v for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p**2 + 5*p**2 + 2*p**3 - 16*p**3 + 17*p**3.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6954 + 6961. Which is greater: 107\/14 or s?\nAnswer: 107\/14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 58*f + 633. Determine s(-11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5975.6 * -15.\nAnswer: -89634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 317.04 decades to months.\nAnswer: 38044.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {v: 2, t: 1, q: 1, m: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*2*(sqrt(176) + ((sqrt(176) - (sqrt(176) + 0))*4)**2 - sqrt(176) - -6*2*sqrt(176)).\nAnswer: 96*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3 - 8678*u**2 - 1329275*u + 1337954.\nAnswer: -(u - 1)*(u + 157)*(u + 8522)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 43 = 5*d, 5*m - 7 = d + 46. Suppose m*l - 10 = 6*l. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -290 + 290.113. Let d = 0.013 - a. Is d greater than -76?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.14 - -6.5. Let v = s + 2.5. Let n = -20.36 + v. What is n rounded to the nearest integer?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 587, 3801, 9631, 18077, 29139?\nAnswer: 42817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*j = r - 45, 867*j - 1739*j + 2*r + r + 11 = -874*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-280)\/(-30) - 10)*3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 35702, 71511, 107320, 143129, 178938?\n\"Answer: 35809*d - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 79*p + 4813. Calculate a(-61).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 77\/(-2) - 2\/(-4). Let y be (-5)\/25 + g\/10. What is the remainder when 17 is divided by (8 - 14)\/(y\/6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (195 - 184) + (1 - -2) + 14.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/5 - (-9)\/35. Suppose s + 5*k = 2*k - 12, -8 = 2*k. Let m be 236\/(-58) - (-6)\/87. Which is the closest to s? (a) p (b) 3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 653333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (3 + 9)*44\/8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3318+-3.34\nAnswer: -3321.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*r - 2*v - 0*v, 4*r + 4*v = 12. Suppose 2*g - 6 = -2*s, -s + 11 = r*s + 5*g. Solve -2*y - 1 + 5 = 2*x, -3*y + 8 = s*x for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -110.2 + 42.2. Sort 0.2, u, -0.2 in increasing order.\nAnswer: u, -0.2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6650 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -83, -70, -81, -116, -175, -258?\n\"Answer: -12*s**2 + 49*s - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8349 and 157113.\nAnswer: 1728243","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 76001548 to the power of 1\/3, to the nearest integer?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00594 rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 104883244?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 290242509.\nAnswer: 3, 96747503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 4) to base 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -309 + 196. Let v = 221.8 + x. What is v rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + 4*x**2 - 60. Let a(c) = c**2 + 1. What is 4*a(l) - p(l)?\nAnswer: -l**3 + 64","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/557 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 2:25 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 275757.8 centuries to millennia.\nAnswer: 27575.78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of o**4\/12 - 2*o**3\/9 - 5. Find a such that m(a) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92864*o - 80408*o + 64697*o.\nAnswer: -108575*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 432 and 701514?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 - 27*n + 8. What is g(-27)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 2. Suppose 0*a = -m*a + 92. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -243 and -0.330754 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*n - 3*n. Let u = -27 + 24. Put 1, -1, n, u in ascending order.\nAnswer: u, -1, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6222*d - 167 + 331 - 164.\nAnswer: 6222*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-33*x + 4*x + 11*x)*(x**3 - 4*x**3 + 4*x**3) + (-1 + 3 - 3)*(-3*x**2 + x**4 + 3*x**2) to i*x**2 + y + u*x**4 + h*x**3 + d*x and give u.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) -149 (c) 0.5 (d) 3\/4 (e) -19\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 125888*v + 1133002. Give s(-9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 5) to base 12\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -51*p**2 + 2*p. Let m(b) = -103*b**2 + 5*b. Let d = -14375 + 14373. Determine d*m(c) + 5*o(c).\nAnswer: -49*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2564, -5196, -7882, -10622, -13416, -16264, -19166?\n\"Answer: -27*q**2 - 2551*q + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 3.04. Let s = -1.04 - -1. Let y = r - s. Which is the second smallest value? (a) -3 (b) y (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -3 + 3*g - 14*g + 2. Is 8 a factor of v(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2285\/8 + -286. Suppose 0 = -12*q + 17*q - 40. Suppose 1 = q*s - 23. What is the second biggest value in f, -0.01, s?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**5\/2 + 3*p**3\/2 - p**2.\nAnswer: -p**2*(p - 1)**2*(p + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*1\/(-3) + 310\/(-768). Let f = u - -1337\/128. Find the common denominator of -79\/38 and f.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(252)\/sqrt(4))\/sqrt(9).\nAnswer: -2 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-148)\/18 + 2\/9. Let g = 39 + k. Calculate the remainder when g is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 14) to base 2\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/5 (b) 28 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2634 - -1209. Find the common denominator of -1*b\/(-20)*(-2)\/12 and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43401 (base 8) in base 3?\nAnswer: 220221020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 3:07 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 5*v**2 + 15*v + 57. Give l(-5).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 3*p**2 - 615*p = 0.\nAnswer: 0, 205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2518 - 9*a**3 - 2535 + 5053 - a.\nAnswer: -9*a**3 - a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 h, and 1 m when three letters picked without replacement from mbmbmhphbhbb.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1275*d*s**2*u**3 + 4*d*s**2*u**2 - 8*d*s**2*u + 2*d*s - d*u**3 - s**2*u**2 + s*u wrt u.\nAnswer: 7650*d*s**2 - 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/7 in -3\/4, -4, -6587?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - 64\/(-12) - 3\/9. Let r(s) = s**3 - 5*s**2 + 7*s - 9. Let j be r(i). Solve 0 = 3*w - 3*b - 12, 0*b - 18 = -3*w - j*b for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9501 - 4562. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of 43*n**2\/2 + 1355*n - 1683. Differentiate i(x) with respect to x.\nAnswer: 43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 242433?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nbbvnvnn. What is prob of picking 2 b?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of 2*u**3\/3 - u**2\/2 - 8. Let o(s) = -3*s**2 + s. Give 7*m(j) + 5*o(j).\nAnswer: -j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.08 + -23876.\nAnswer: -23876.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 833 and 4879?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 2*p - p)*(-p**3 + 2 - 2) + (4 - 2 - 5*p**2 - 4)*(8*p**2 + 0*p**2 + 6*p**2).\nAnswer: -72*p**4 - 28*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x + 8. Does 2 divide z(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9263?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.5027949ms?\nAnswer: 502794.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -4. Let v be -7 + (-2 + 4 - 0). Sort w, v, -2 in descending order.\nAnswer: w, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + a**4)*(45024 - 45024 + 36*a) + 5*a**4 - 5*a**4 - 2*a**5.\nAnswer: 34*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 + 11. Let j = b - -15. Suppose j = 3*s - 48. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -3*q**2 + 4469*q - 26679. Determine p(6).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 188 - 183. Solve 5*x = -s + 22, j*s + 10 = -0*s - x for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20*m**5 + 3*m**4 - 98*m**2 - m wrt m.\nAnswer: -1200*m**2 + 72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4056 is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 3*w + 16 = 0. Let b(f) = -f**3 - 3*f**2 + 13*f + 12. Let n be b(-5). Let g = 48\/5 - 10. Put w, g, n in decreasing order.\nAnswer: w, g, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 17 = -i - 6, -c - 2975 = -2970 for i.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(15\/3)*(-3)\/1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 586237, 586268, 586301, 586336, 586373, 586412, 586453?\nAnswer: 586496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42070 by 79.\nAnswer: -42070\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -24745*k**3 + 16137 wrt k?\nAnswer: -74235*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3 + 1558264*m**2 + 3116525*m + 1558262.\nAnswer: (m + 1)**2*(m + 1558262)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 + 15. Is 3\/11 less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27*d**5*w**3 + 149*d**5*w - 4*d**2 - 2*d*w**3 - 10*w**3 wrt d.\nAnswer: -1620*d**2*w**3 + 8940*d**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of g**3\/3 - 2. Let a(v) be the first derivative of -37*v**2 - 5591. What is c(a(r))?\nAnswer: 5476*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2. Let i(o) = -20 + 20 - 4*o. What is m(i(k))?\nAnswer: 16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1216198, 1216190, 1216168, 1216126, 1216058, 1215958, 1215820?\nAnswer: 1215638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-328*16\/(-128))\/1)\/(-1)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) -0.03 (b) -1 (c) -0.5 (d) 1 (e) 28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 40166 and -4?\nAnswer: 40170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -8*l - 41. Let u(c) = -c**3 + 4*c**2 + 7*c - 5. Let b be u(5). What is the remainder when n(-11) is divided by ((-12)\/b)\/((-1)\/5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 900 a factor of 133959600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -144 + 20. Let x be -50*c*8\/20. Calculate the common denominator of 23\/6 and 6\/(-10)*x\/16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 4*u**2 - 2*u - 9. Let r be (-3)\/9 + (-110)\/(-15). Let i(s) = -2*s**2 - 2 + 4*s**2 - s - 2. Calculate r*i(a) - 3*c(a).\nAnswer: 2*a**2 - a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3.96003 times -0.1\nAnswer: -0.396003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + 4*y. Let d be i(5). Let o = 10 - 11. Let h = d - o. Let u(p) = p - 3. Calculate u(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137149 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**2 + 2*o**5 - o**2 + (-30*o + 17*o + 11*o)*(-749*o - 121*o**4 + 749*o).\nAnswer: 244*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1011710.\nAnswer: 2, 5, 7, 97, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227 = -33*r - 4 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 304 + -113. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -1388439?\nAnswer: 1388442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 1 - -8 - 13 - (3 + 2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 85228 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: Calculate 29\/4 + -1 + 0 + -6.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 s when four letters picked without replacement from {d: 2, i: 3, s: 5, q: 5, h: 3}?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18393?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5455000.\nAnswer: 2, 5, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 77\/((121422\/(-84))\/59)?\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30) - -3*sqrt(4320) - (2*sqrt(90))\/sqrt(3))\/(-2*-2*sqrt(600)*-4).\nAnswer: -7*sqrt(5)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 113065807 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 56 = -22. Suppose 0 = 2*d - 8, 3*y + 3*d = b + 13. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67135 (base 8) in base 13?\nAnswer: cb24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7928.\nAnswer: 2, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -17 + 15 + 4 + 8 + 3 + 41\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18391 + -18388. Let c(o) be the third derivative of 0*o + 7\/20*o**5 + 0 + 3*o**2 + 11\/24*o**4 + 0*o**s. What is the second derivative of c(q) wrt q?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xf when two letters picked without replacement from cxcxxcvcfcvfvfccc.\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b**10*b)\/b)*((b**(-11)\/b)\/b)\/b)**(10\/7)*(b\/b**0)**35*(b*b**(3\/2)\/b)\/(b\/b**2*b) assuming b is positive.\nAnswer: b**(51\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -4. What are the prime factors of ((-7)\/(-4))\/(y\/(-24))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of -1\/12*v**4 + 8\/3*v**3 + 12*v**2 + 0 + 31*v. Give o(17).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42105844321 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.2, -3, 0.5, -0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 342*l**2 - l + 2. Let q(a) = -696*a**2 + 2*a - 5. Calculate -3*q(j) - 5*v(j).\nAnswer: 378*j**2 - j + 5","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 92*i - 2264. Give s(26).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 z when two letters picked without replacement from {h: 18, z: 1}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1455 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 4:56 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79862, -79910, -79970, -80048, -80150, -80282?\nAnswer: -80450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*o - 18*o = -5*c, 0 = 5*c - 3*o - 8. Solve -2*b + 7 = c, 2*a = 2*b for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -255, -282, -299, -300, -279?\n\"Answer: l**3 - l**2 - 31*l - 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 50 = 8*d. Let c = d + -58. Let p = -30 - c. Solve 2*i + 2*i = -4*u + 12, -5 = -5*u - p*i for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i - 10 + 6 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (p + 0*p + 4804 - 4813)*(-4*p + p + p) to v*p**2 + s + n*p and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (3 + 54\/(-12))\/(1\/(-62))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1514 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -387 - -392. Suppose -138 + 118 = o*u. Let v(b) = 2*b**3 - 7*b**2 - 1. Let j(t) = 2*t**3 - 6*t**2 - 1. Calculate u*v(p) + 5*j(p).\nAnswer: 2*p**3 - 2*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 192 and 2907336?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 10 = -0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, 10 in descending order.\nAnswer: 10, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/55369 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20446?\nAnswer: 2, 10223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1304914071 to the power of 1\/3, to the nearest integer?\nAnswer: 1093","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**2 - 2*b. Let c(q) = 5*q**2 - 4*q. Let i(a) = 4*c(a) - 9*x(a). Let h = -11 - -7. Calculate the remainder when i(h) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000042342 to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**2\/8 + 83229*c\/2 - 2309022147\/2.\nAnswer: -3*(c - 55486)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 88\/24 + (-8)\/(-6). Solve -f*z - 7 = -2*c - c, -4*z = 4*c + 12 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 163\/3 - 54. Let r = 77058383\/387 + -199117. Let b = -2\/43 + r. What is the second biggest value in b, 0, f?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6*9\/54 + (3 - (-136)\/(-36)). Determine o so that 8\/9*o**2 + 0*o**3 + 0*o - 2\/3*o**4 + i*o**5 + 0 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-24)\/(-108) - 7\/(-9). Suppose 5*c = 2*k + 21, 5*k - 2*k = -5*c + 6. Put -3, m, c in decreasing order.\nAnswer: c, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -225791, -225781, -225771, -225761, -225751, -225741?\nAnswer: -225731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**4 + 848*t**3 - 45784*t**2 + 89040*t - 44100.\nAnswer: -4*(t - 105)**2*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1113136 and 928?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - p = -60. List the prime factors of p.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -49*d**2 - 13*d - 11. Let j(b) = 25*b**2 + 6*b + 6. Let k(l) = 6*c(l) + 11*j(l). Find the second derivative of k(q) wrt q.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) -4\/3 (b) -3 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 4:26 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*n - 15*n + 23*n)*(n**2 + n**2 - 4*n**2)*(52*n + 1730 - 1730).\nAnswer: 1040*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44171?\nAnswer: 44171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 7 = -3*n + 5*s, -5*n - 2*s = -40. Let c(r) = 6*r + 5 - 10*r + 3*r. Let v be c(n). Which is smaller: v or -0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - u = 42. Does 7 divide (-12)\/u + (-690)\/(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*q - 35. Calculate the lowest common multiple of 22 and (-12)\/(-8)*q\/12*64.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -171 - -177.95. Let t = v - 6.4. Let k = 0.5338 - t. Round k to 3 decimal places.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.672096517 - -0.59542304. Let z = y + -3.523318623. Let k = 3.6 + z. Round k to six decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**(3\/2))\/(m*m\/(m*m**2)))**(-13))**49 assuming m is positive.\nAnswer: m**(-637\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - 21*q**2 + 22*q + 3. What is the remainder when d(20) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13309793 - 13309793 + 6533*h to the form p*h + v and give p.\nAnswer: 6533","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9510bb - -14?\nAnswer: 951102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 4*z**3 + 8*z**2 - 8*z + 8. Let i(f) = -f**3 - 3*f**2 + 3*f - 3. Calculate 8*i(j) + 3*k(j).\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 98.40624ns in milliseconds?\nAnswer: 0.00009840624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*p + 21*p - 38*p - 3*p - 48*p**2 - 34*p**2.\nAnswer: -82*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/20)\/((-732)\/(-60) - 11). Let w(m) be the first derivative of -b*m**3 - 4 + 3\/4*m + 3\/16*m**4 - 3\/8*m**2. Solve w(c) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -60*h**2 - 1533*h**4 + 1535*h**4 - 56 - 38 + 16*h**2 with respect to h.\nAnswer: 8*h**3 - 88*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-3*(sqrt(6)\/sqrt(50) + -1) + -5*(3 + sqrt(9)\/sqrt(3))*-4)**2*6.\nAnswer: 73332*sqrt(3)\/5 + 764587\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 1974*z**3 - 24*z**2 - 4*z - 3. Let g be c(-4). Let m = -70944 - g. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is af0ae - -e5?\nAnswer: af193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/3))**19)**(2\/71) assuming i is positive.\nAnswer: i**(76\/213)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + 47\/2 + 1\/(-2). Let o = 37 - g. Suppose i = y - 46, -3*y + 0*i + 126 = 3*i. What is the highest common factor of y and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.9 - 2.9. What is the second smallest value in -0.05, i, 0.4?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from obonobob. What is prob of picking 2 b and 2 o?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5198\/575)\/((-3)\/15) + (-8)\/(-40).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 299496143?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1050517907 and 731?\nAnswer: 731","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/sqrt(5) + -5 + (sqrt(405)*1 + sqrt(405) - sqrt(5)) + 2.\nAnswer: -3 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1820 - 853. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-102)\/357 - (-1705)\/10010.\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 129311*r. Let h(v) = v**2. What is a(h(j))?\nAnswer: 129311*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-one halves of a centimeter?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {s: 5, h: 5, m: 1, f: 3, a: 5}?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 9) in base 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.27, 140, 0.3, 22?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3360)\/(-180)*(-585)\/156.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -5*w + 16, p = 3*w - 125. Suppose -i + 14 + 225 = 0. Let q = p + i. What is the greatest common divisor of 18 and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189 is divided by 50?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 13019263 to the power of 1\/2, to the nearest integer?\nAnswer: 3608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -10007661.2 rounded to the nearest one thousand?\nAnswer: -10008000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (104 - 46) + -3 - 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -509 + 507 - (-6 - -1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1452 = 10*o + 1362 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 449.\nAnswer: 89.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -121728, -121826, -121988, -122214?\nAnswer: -122504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 75180276\/234 - (-33)\/(-143) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -834, 2\/7, 0.14.\nAnswer: -834, 0.14, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -13*v. Let i(u) be the second derivative of u**4\/6 - 192*u**2 - 5*u - 35. What is h(i(g))?\nAnswer: -26*g**2 + 4992","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40530 divided by -21.\nAnswer: 1930","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 4*p = -5, -13*j = -8*j - 2*p - 15 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*h*w**4 - h*w**3 - 25*h*w**2 - h*w + 47*w**4 wrt w.\nAnswer: -72*h*w - 6*h + 1128*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of -27*k**2 + 0 + 0*k + 29\/60*k**5 + 0*k**7 + 0*k**3 + 1\/84*k**8 + 0*k**6 - 1\/8*k**4. Find the third derivative of q(j) wrt j.\nAnswer: 240*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3276 and 702.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o - 7*o + 2 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30094 = -988*u + 254*u for u.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*t**4 - 1174*t**3 - 3112*t**2 - 968*t + 960 = 0.\nAnswer: -2, -1, 2\/5, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-34 - 45 + 21)*(6 - 2 - 1) + 2 - 1 + 1)*(-10 + 7 + 4)*(5*d - d + 5*d).\nAnswer: -1548*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 32339273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5662\/5355 + -154\/153. Let d = 6\/35 + t. Let x = 0.012 + -0.012. What is the nearest to 1\/5 in 0.5, x, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 239*s. Let a(x) = 6302*x. Give a(m(f)).\nAnswer: 1506178*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 5*k**2 - 3*k + 2. Let w(y) be the second derivative of -y**5\/20 + y**4\/12 + 5*y**3\/3 + 2*y**2 + 44*y. Let c be w(4). What is a(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 65 - 42. What is the greatest common factor of r and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5\/2, 0.5, 28, 0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 223.2 + -223. Sort 7, c, -3 in descending order.\nAnswer: 7, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.254277 centimeters in meters?\nAnswer: 0.02254277","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 42 - 132. Let r be 1431\/x + (-3)\/(-15). Suppose r + 23 = s. What is the highest common factor of s and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - 1 + 1)*(d - d + 3*d**2) + 221 - 113 + 8*d**3 - 106.\nAnswer: 17*d**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t + 12. Let a(x) = -x**3 + 6*x**2 + x + 3. Let y be a(6). Let p be f(y). Let d = 10 + p. Solve -2*g = d*w + 6, 2*w - g + 2 = -3*g for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 220 - 201111?\nAnswer: -200121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*r + 3*r + 12. Let f be r*(5 - (-2 - -3)). Suppose 0*b - 24 = -5*q + 2*b, -4*b + f = 5*q. Solve 0*v + q*v = 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {b: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 131855 divided by 4\nAnswer: 131855\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -5*g**2. Let o(m) be the first derivative of 87*m**2 - 164*m**2 - 61 - 5*m**3 + 77*m**2. What is r(o(k))?\nAnswer: -1125*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that v**2\/3 - 2246473*v - 13478842\/3 = 0.\nAnswer: -2, 6739421","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*j**2 + 21 - 21 to the form n + y*j**2 + x*j and give y.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 5*o + 14 = -13, 5*o + 13 = x. Let c be x\/2*((-18)\/7)\/(-9). Suppose -3\/7*f**5 - 6\/7*f**3 - c*f**2 + 10\/7*f**4 + 9\/7*f - 2\/7 = 0. What is f?\nAnswer: -1, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 3, -3, 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13170208?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2*0.08024\nAnswer: 0.16048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c + 2. Let j(i) = 3*i + 3. Let m(p) = -5*j(p) + 8*x(p). Determine m(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 14 = y. List the prime factors of (-163)\/3*(-2)\/(y\/21).\nAnswer: 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 6:19 PM?\nAnswer: 3:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 511 from -1465332.824.\nAnswer: -1465843.824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1134, 2392, 3910, 5832, 8302, 11464, 15462?\n\"Answer: 24*i**3 - 14*i**2 + 1132*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363) + sqrt(363) + 0)**2 + sqrt(363) - sqrt(48)*-2 - (sqrt(243) + 2)**2.\nAnswer: -17*sqrt(3) + 1205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 193*g**2*l*x**2 - 4473770*g**2*x**2 + g*l*x**2 + 431*g*l wrt l?\nAnswer: 193*g**2*x**2 + g*x**2 + 431*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, b: 7, a: 6}. What is prob of sequence aaba?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -278189 + 63983371\/230. What is the common denominator of -37\/138 and v?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 538 - 540. Suppose -4*g - 14 = 4*o + 18, 0 = -o + 4*g - 8. Let s(x) = -x**2 - 10*x. Let j be s(o). Solve 4*q - j = 0, -3*q = -f*t - 6*q + 8 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -138.44 - 4.\nAnswer: -142.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 4*t - 9*t. Let l(c) = 8*c - 3. Let v be l(1). Suppose -t*z = z + v*n - 17, 0 = -5*z - 2*n + 17. Solve 3*j = 2*j + z for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in 6, -0.3, 0, 95?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 11:45 PM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of -m**7\/42 - 11*m**4\/4 + 57*m**3\/2 + m + 2. Find the second derivative of b(d) wrt d.\nAnswer: -20*d**3 - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -1. Let w = 38 - 33. Let g be 2\/(28\/(-18)) - -1. Which is the closest to -1? (a) g (b) w (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33444 + -17545. Is 21 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.01 - -0.01. Suppose 4*v + 22*k = 26*k + 32, 39 = 5*v - 4*k. Which is the smallest value? (a) i (b) 3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cqcqc. What is prob of picking 1 c and 1 q?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventy-three fifths of a decade?\nAnswer: 1752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-732)\/6*42\/(3444\/41).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of -g + 1\/4*g**4 + g**3 - 39 + 0*g**2 - 5*g**5. What is the third derivative of s(q) wrt q?\nAnswer: -600*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1767965*q**3 - 1767955*q**3 - 2*q**2 - 3*q**2 + 7*q**2.\nAnswer: 10*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/8 and 87\/86444?\nAnswer: 172888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.5605503 milligrams?\nAnswer: 560.5503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(-6)\/96*16\/(-28)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 3, 3\/5, -27, -37?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3\/8))**(-1\/43)*(i*i\/i**(-11)*i)**(-2\/123) assuming i is positive.\nAnswer: i**(-9263\/42312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -9384, -9370, -9352, -9330, -9304, -9274, -9240?\n\"Answer: 2*f**2 + 8*f - 9394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 - 8*m + 12. Let n be l(-9). Let x(c) = c + 3. Let g(t) = -2*t - 2. Let p(h) = n*x(h) + 2*g(h). Give p(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3024 and 2.42.\nAnswer: 3026.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of -79*r**6\/120 + 134*r**3\/3 - 7*r**2 - 14. What is the derivative of d(t) wrt t?\nAnswer: -237*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 531762640?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 408, 1706, 3954, 7224, 11588, 17118, 23886, 31964?\n\"Answer: 12*w**3 + 403*w**2 + 5*w - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -27. Calculate the highest common factor of 225 and u.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-12) + (-7)\/(-3). Suppose 0 = -b*k + 6, 5*k - 133 = -2*g - 6. Calculate the remainder when g is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, o: 4, z: 7, i: 2, k: 1}. What is prob of sequence uio?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 400 and 192.6633?\nAnswer: 207.3367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 6*q = -12. Suppose 179*i = -2*y + 180*i + 17, -3*i = y - 5. What is the highest common factor of q and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*j + 2*n + 6, -2*n + 6 = j. Calculate the remainder when 2 + -4 + j - -9 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -28.03845 to 1 decimal place.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(432) + (sqrt(432) + -2 - sqrt(432))*6 - sqrt(432)) - ((sqrt(150)\/sqrt(5) - sqrt(30))*-2)\/(sqrt(10) - (sqrt(90)*2 - sqrt(90))))**2.\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 301670 or 301669?\nAnswer: 301669","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/g**(-6)*g**(-20) assuming g is positive.\nAnswer: g**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1453758l in millilitres?\nAnswer: 145.3758","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 184434327 = 3*w - 26015196, 0 = 4*o. Let u = w - 1263126077\/18. Let f = u - -23824. What is the common denominator of -69\/10 and f?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000339261 to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -83, -85, -87, -89, -91?\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(3*4\/(-24)). Let h(c) = -c + 7. Let g be h(o). Sort -0.3, g, -0.5.\nAnswer: g, -0.5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(2299) + 0 + sqrt(2299))*5*3)**2 + 3.\nAnswer: 39600*sqrt(19) + 2072703","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + r)*(4 - 4 - r) + 3*r**2 + 0*r**2 - 2*r**2 + (r - 7*r + 4*r)*(-r + 4*r - 2*r).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -102116 + -2?\nAnswer: -102121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-708)\/(-32) + (4379\/4872 - (-2)\/(-84)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z. Let m be r(-1). Suppose 2*g = -7 + m. What is the units digit of -5*(24\/5)\/g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6529944643 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -693 + 693. Factor 2\/5*j**2 + n - 2\/5*j**5 + 2\/5*j**3 + 0*j - 2\/5*j**4.\nAnswer: -2*j**2*(j - 1)*(j + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v. Let q be u(-3). Let d be 2\/q - (-20)\/6. What is the common denominator of -89\/12 and d + 0 - 183\/15?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 5*d - 35, -5*y + 4*d + 71 = -0*d. Suppose 0 = 3*i + y - 30. What are the prime factors of 386\/5 + i\/(-25)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 + 15. Solve -n - 3*w - 16 + 2 = 0, -w - u = 2*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18*((-14)\/9)\/((-628)\/471)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 120 and 65?\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t + 260 = 210. Solve 0 = -t*z - 29 + 9 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -831*l**2 - 58172*l - 240. Give z(-70).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -2*p - 0*d - 2, -5*p - 4*d = -23. Suppose 2 = 3*w - 2*w. Suppose j + p = w*j. Calculate the remainder when 8 is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5124945746 - 0.661?\nAnswer: 5124945745.339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 0)*(4 - 2*g - 4)*(2 + 0 + 0)*(-123 + 11*g - 122 + 230).\nAnswer: -44*g**2 + 60*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + q = -9. Let c(l) = -2*l**2 - 207*l - 4310. Let g be c(-29). Solve -8 = -g*n + q*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12203 (base 5) to base 3\nAnswer: -1021101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((m + m + 0*m)*(3 + 1 - 5) - m - 4*m + m)*(m**3 + 0*m**3 + 0*m**3).\nAnswer: -6*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q - 3 + 2 + 0)*(-2 + 2 - q**2)*(0*q + 0*q + 2*q**2).\nAnswer: -10*q**5 + 2*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 7*c + 2. Calculate the remainder when 26 is divided by w(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*i + 5*i - 7*i)*(-3*i + i**2 + 3*i)*(-2 + 1 + 3 + (2 - 5 + 1)*(-3 - 1 + 5) - 77 - 37 - 55) to z*i + y + m*i**3 + k*i**2 and give m.\nAnswer: 1183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 6*v**2 - 4*v - 7. Suppose 0 = -4*c + 3*c - 6. What is the tens digit of t(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -394*b + 1415 - 631*b - 1208 + 1026*b.\nAnswer: b + 207","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40 + 67. Let y = t + -25. Let r(h) = 0*h**2 - 7*h + 11*h + h**y. Determine r(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 5*j + 9 = 15, 0 = 3*q + 2*j - 9 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(9\/2)\/u)**(-2\/21))**(-15) assuming u is positive.\nAnswer: u**(45\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 193 - 435 - 647 - 2*y.\nAnswer: -2*y - 889","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 202089.\nAnswer: 3, 31, 41, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 3:28 PM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5335248.\nAnswer: 2, 3, 41, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.72353 millimeters in micrometers?\nAnswer: 47723.53","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2403 is divided by 65.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1896 and 113153280.\nAnswer: 1896","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0334 in 0.4, 0, 0.3, -3\/5, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**4 + 50*j**3 - 334*j**2 + 286*j.\nAnswer: -2*j*(j - 13)*(j - 11)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*6\/(-8))\/(20 + -32)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 11 = 2*m - 5*x, 4*m - 23 = 5*x. Let t = 4 - m. Let w be (-36)\/t*12\/63. Which is smaller: 2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 10909178 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 4269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10526*q**2 - 423*q**3 - 10431*q**2 - 55*q**3 + 20959*q**2.\nAnswer: -478*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.6 greater than -832?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((32\/64)\/((-2)\/6))\/(30\/16). What is the fifth smallest value in -4, p, -32\/5, -1, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b - 15e?\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5100 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 + -18. Suppose -o + j + 30 = f, 0*o + 50 = o - 5*j. Let x = 27 - o. Solve t = x*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1018 - 12229\/12. Let z = p + 47\/36. Let s be 4 - 22 - -10 - -10. Which is the nearest to 2? (a) 4 (b) z (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -18*p - 20. Let z(d) = -d + 242. Determine n(z(l)).\nAnswer: 18*l - 4376","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 736584 and 399876.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 6:12 AM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 - 8. Suppose -w = -5*q + t, -2*w + q = -6*w + 27. Differentiate -6 + 5*r**2 + w + 1 - 3 wrt r.\nAnswer: 10*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uulf when four letters picked without replacement from {u: 4, l: 5, f: 8, h: 1}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1334321 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 6 - 3*v**2 + (v**2 - v + v)*(59 + 47 - 41) in the form b*v**2 + k + t*v and give b.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2.62 (b) 93 (c) -2\/75\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -130, 2\/201, -16?\nAnswer: 2\/201","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 561512302 a multiple of 6929?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l**2 - 930562 + 1861050 - 930488.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (3 - 6) - (-482 + 390).\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41360445, 82720892, 124081339, 165441786, 206802233, 248162680?\nAnswer: 289523127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 12 = 3*i. Solve j + i*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/1 - (-16)\/6. Let n = 4 + -9. Let a = -2\/935 - 168\/935. What is the nearest to a in 6\/11, k, n?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -213*a**4 - 1419*a**2 + a + 220046303?\nAnswer: -852*a**3 - 2838*a + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -j - 4*l + 2, -3*j + 4*l = -20. Let x(n) = n**2 - 3*n + 5. Let w be x(j). Suppose -46 = -t + w. Is t a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + 0*l + 0*l)*((1 + l - 1)*(-54*l + 17*l + 20*l) - l**2 - 16*l**2 - 32*l**2).\nAnswer: -132*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-609)\/(-6148)*128\/224?\nAnswer: 3\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 3*n + 20. Let u be -1 + 2 - (n + 14). Which is the closest to u? (a) -2 (b) 0.38 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25*m*n**6 + 9*m*n**5 + m*n**2 + 7*m*n + 5*n**2 wrt n?\nAnswer: 3000*m*n**3 + 540*m*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -3*r**2 + 4*r**2 + 2*r**2 - 4*r**2. Let b be (8\/(-2 - 0))\/(-2). Let o(m) = -5*m - m + b*m. Determine o(n(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 46589132 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2291172 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90 = -5*j + 24*s - 26*s, -2*j + 4*s = -60 for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -17, 1\/6, 0.1, -0.26, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, c: 1, s: 5, r: 8, p: 1}. What is prob of sequence appp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kf when two letters picked without replacement from kkfvfvkvpfvkpvk?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 15209, 31829, 49859, 69299, 90149, 112409, 136079?\n\"Answer: 705*q**2 + 14505*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*a**3*s + 193790*a**2*j**3 - a**2*j*s - 789*a*j**3 - 2*a*j - a*s - 168*j**2*s wrt a.\nAnswer: 18*a*s + 387580*j**3 - 2*j*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37*(-270)\/(-16650)*(-9)\/3?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - 3*a**2 - 8*a. Give v(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23143 is divided by 2282?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - 6*h**2 - h. Calculate x(5).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -5*v + 7 + 23, 5*v + 2*x = 9. Suppose s = -2*w - 3*s + 202, -v*w + 4*s + 293 = 0. What are the prime factors of w?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 67 and -1425.\nAnswer: -95475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 148720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3*x**2 + 3*x + 5. Let p(y) = 8*y**2 + 8*y + 14. Calculate -14*h(n) + 5*p(n).\nAnswer: -2*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 PM and 7:05 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, -2\/19, -1, 4 in increasing order.\nAnswer: -3, -1, -2\/19, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 12 - -320\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1940.5 + -2732.5. Which is smaller: -1\/2 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5588 = 4*j - 0*j. Let h(a) = -32*a**2 - 8*a + 16. Let r be h(-5). Let m = r + j. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-2\/5)*j)\/j)\/((j*j**(-2\/5)*j)\/j)*j**4*j*j\/(j\/(j**(-5\/2)\/j*j))*(j**4\/j**(2\/19))\/(((j\/(j**(-1\/5)*j))\/j)\/j**(-5)) assuming j is positive.\nAnswer: j**(569\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 6.753.\nAnswer: -13.506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - -4. Suppose j*n - 527 = 259. Suppose y = -4*f + n, -4*y + 363 = -y + 2*f. Is 21 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by 33?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.734094 grams in kilograms?\nAnswer: 0.009734094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a microgram in nanograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + sqrt(891)*-2 + sqrt(11) + (sqrt(11) - (sqrt(66)\/sqrt(6)*1)**2) - (sqrt(132)\/(sqrt(48)\/sqrt(4)) + 6*-2*sqrt(11)))*2.\nAnswer: -8*sqrt(11) - 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1539)*-2 + 1 + -3.\nAnswer: -18*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 18 + 4b?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*0.08268.\nAnswer: -0.24804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0*(-4 - -1)\/6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + (-8)\/(-10))*(-45)\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -3*j - 2*l, 0 = 2*j - 3*l + 6*l + 9. Calculate the common denominator of 234\/48 - (-3 - -1) and 30\/(-12)*j\/20.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - (-9)\/(-12) - (-38)\/72. Which is the nearest to h? (a) -0.2 (b) -1 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(16)\/sqrt(8) + 1 + -4.\nAnswer: -6 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7000)\/(-16500))\/((-8)\/(-12))?\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41548?\nAnswer: 2, 13, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -7. Let h(z) = -z + 5. Let c be h(f). What is the second derivative of c*o - o + o**5 - o wrt o?\nAnswer: 20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l + 2. Suppose -4*h = 3*p + 11 - 5, 2*p = 4*h + 16. Give m(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -441*z**2 + 236*z**2 + 211*z**2.\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32 - 90. Let z = 17 - r. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*i + 4*i + i + 21*i.\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - 2*y**2 + 2*y + 3. Let w be j(-2). Let l be (-12)\/14*(-2)\/(-6). What is the closest to l in w, -0.1, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 973957*f*h**4 + 7*f*h**2 + 2*f*h + 51022*f - 6*h - 2 wrt h?\nAnswer: 11687484*f*h**2 + 14*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 25*s**2*w - s*w**2 + 3*s*w + 2883*w**2 wrt s?\nAnswer: 50*s*w - w**2 + 3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 - q**2 - 1214*q - 3651. What is w(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(75))**2 + 1 + (sqrt(3) + sqrt(18)\/sqrt(6))**2.\nAnswer: 10*sqrt(3) + 89","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - 8*m**2 + 4. Let i be c(8). What is the remainder when (0 - i)*(-738)\/36 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5158, -7871, -10582, -13291, -15998?\nAnswer: -18703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 3, -9\/5, -0.3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8616439 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1399454 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 1 = 5. Suppose -3*f - y*f + 40 = 0. Let x = 13 - f. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121 - 20*f + 121.\nAnswer: -20*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -8768*c - 1508091. Give h(-172).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 z when two letters picked without replacement from {t: 1, l: 3, z: 2, a: 5, n: 1, x: 3}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 to the power of 1\/4, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 2651 divide 144235608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4\/15, -14.3878.\nAnswer: -14.3878, -4, 4\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 m when three letters picked without replacement from {z: 3, v: 4, c: 3, m: 4, b: 2}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of h**8\/16 + 43*h**5\/60 - h**4\/24 - 69*h**2. Find the third derivative of q(k) wrt k.\nAnswer: 1260*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.028473 months to years.\nAnswer: 0.75237275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.7687039ml?\nAnswer: 0.0007687039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000091706949 rounded to five decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 708 and -1.499.\nAnswer: -1061.292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 538, 2, -5, -1, 18 in descending order.\nAnswer: 538, 18, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -2*b - 10, -2*b - 32*v = -34*v + 6. Solve -3*s + b = -8 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*z + 22*z - 160. Suppose 5*s - 48 = 2*s. Calculate the greatest common factor of s and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*r + 2 - 1 - 3*r**2 + 5*r**2 + 21*r in the form k*r**2 + f*r + y and give f.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**2\/3 - 9251878*m\/3 - 46259365\/3 = 0.\nAnswer: -9251873, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 193387746*f + 4 - 3 - 193387723*f.\nAnswer: 23*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15426376 and 1888?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*g + 4*w - 0, -3*w = -9. Let x be (-1)\/(g + 8\/3). Suppose -x*t - 2 = 58. Is t at least as big as -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -63.17 - -0.17. Let z = -62.99999878 - h. What is z rounded to seven dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 9:58 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*g - 9*g = 220. Solve 0 = h - p, 2*h - g*h + p = 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -43 - -48. Suppose -m + 5*o = -15, -2*m + o + 30 = -0*m. Calculate the common denominator of 35\/44 and (-10)\/m + k\/(-4).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/5*1)\/(-8*(-18)\/(-240))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 82881 and 80351 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55962?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -18 + (-1716)\/(-65) + 6\/(-15). Solve -4*a + 5*a = 2*h - p, -3*h + 5*a = -5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -7*u - 16. Let t be x(-16). What is the tens digit of (t - 0)\/1 - 2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5241205 is divided by 1811?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1140205.\nAnswer: 5, 11, 20731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 42181369 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - a**2. Let g be y(3). Suppose 2*f = 3*s + s - g, 5*s = f + 24. Solve 0 = p - f + 6 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 5*i = 2*r - 22008, 0 = 5*r + 4*i - 55016. What is r rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23894 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + -11. Let i be (p\/(24\/(-44)))\/2. Let r = 7 + -11. Is r not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/((-90)\/(-14)))\/(201\/(-7035))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of -17*a**5\/20 - a**4\/2 - 2*a. Find the third derivative of l(d) wrt d.\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (((-2 + 5 - 1)*(0 - 5 + 4) + 1 + 3 - 3)*(-2 - 2 + 2) + 151 - 80 - 260)*(13*y**2 + 0*y**2 + 3*y**2) to z + j*y + p*y**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37289090 to the nearest integer?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = 5*n - b, 7*b + 1 = 2*n + 2*b. Suppose -56*r = -60*r + 212. Let s = r + n. 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 the value of 99 - (10 + 8 - (17 - 15))?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 59 - 55. Suppose 0 = -2*m - 4, 102 = -v + z*m + m. List the prime factors of v\/12*18\/(-4).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-6)\/(-10))\/(6\/510) is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-646)\/(-95))\/(10*7\/(-175))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -7*1 - (-1 + 0). Let l(d) be the second derivative of d**4\/12 + 5*d**3\/6 - 3*d**2 + 5*d. Let c be l(g). Solve x + c*n = n - 7, -n = -2*x - 12 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - 4*y = 10. Let a = -91485 + 91488. Sort -3, y, -19, a.\nAnswer: -19, -3, y, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5894 + -1045?\nAnswer: -6929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101111101010101011 + 100?\nAnswer: -1101111101010100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 181 - 699. What are the prime factors of t\/(0 - 7)*4?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - 10*q**2 - 10*q + 7. Calculate r(11).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3938409*h**2 + 7313549*h wrt h.\nAnswer: 7876818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1531 + 0?\nAnswer: -1531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 240456901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c**2 - 9*c + 15. What is the remainder when 56 is divided by r(5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 + 4*n**2 + 0*n**2)*(n**2 - 30*n**2 - 11*n**2).\nAnswer: -80*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gq when two letters picked without replacement from {q: 11, g: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -242*s - 5881. Let y be q(-21). Is -796 <= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 3*k + 4. Let y be v(-10). Let c = -12 - y. What is the greatest common divisor of 21 and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -174, -170, -176, -198, -242, -314, -420?\n\"Answer: -v**3 + v**2 + 8*v - 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, 9, 14, -364, 2\/9 in increasing order.\nAnswer: -364, 2\/9, 3\/4, 9, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 less than or equal to -3\/26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 i when two letters picked without replacement from iiissiissi.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 57?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/l**(11\/2))**(-7\/12)*l*(l*(l**2\/l)\/l)\/l*l\/l**(-1\/2) assuming l is positive.\nAnswer: l**(109\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*p - 13*p = -55*p + 927 + 1647 for p.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12.13 + 0.13. Let c = -11.9 - b. Let n = -461\/130 - -198\/65. What is the nearest to n in 2\/3, c, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 + -15.5. Let g = -5.51 + 1.28. Let d = -0.23 - g. What is the closest to 2\/7 in d, -1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2836590 - 1c?\nAnswer: 2836572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*p - 147*p + 216 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of l**2*p**4 - 38166*l**2*p**2 - 27038*l**2 + 9*l*p - 2*p**2 wrt p?\nAnswer: 12*l**2*p**2 - 76332*l**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhphhpppshp. What is prob of sequence ph?\nAnswer: 35\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 238*o**2 + 181*o - 1 wrt o?\nAnswer: 476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (3 - (-1 + 2 - -2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.6 - -0.4. Let g = 2.3 - h. Sort g, 5, 1\/3 in decreasing order.\nAnswer: 5, 1\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 1271.\nAnswer: -254.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 69870.87 millilitres in litres?\nAnswer: 69.87087","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-3)*6\/4. Let j be (63\/28)\/(v\/4). Let k(d) = 11*d**2 + 13*d - 5. Let y(t) = -5*t**2 - 6*t + 2. What is j*y(p) - 4*k(p)?\nAnswer: p**2 + 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*v**2 + 1 + 0 + 4*v**2 + (2 - v + 3*v + 0*v)*(-3*v - 4*v + 5*v).\nAnswer: 4*v**2 - 4*v + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*o + 184901 + 5*o - 184901 - 11490*o**2 in the form n + u*o**2 + q*o and give u.\nAnswer: -11490","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -25*n**4 - n - 2. Let z(m) = 26*m**4 + m + 3. Let v(k) = -3*r(k) - 2*z(k). Find the second derivative of v(c) wrt c.\nAnswer: 276*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -49, -27.1, -1\/7, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 24\/21*14\/4. Solve -3*z + 3*b - 2*b + 13 = 0, 4 = -k*z - 4*b for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45087 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -1, 0, -3, 204374.\nAnswer: -11, -3, -1, 0, 204374","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 28*f**2 + 115*f - 84. Let q be b(7). What is the highest common divisor of 39 and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ibi when three letters picked without replacement from inihnbnnbt?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1137 is divided by 405?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + (-2102)\/(-4) - (-6)\/(-12). Let m(x) = -17*x + 0*x**3 + 533 + 10*x**2 - p - x**3. Calculate the least common multiple of m(7) and 24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3*-4)\/4*-37. Suppose 0*g + t = 5*g - 3*p, -p + 27 = g. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1208352 is divided by 92948?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2512 + -1196. Suppose y + p = 5*y. Suppose 0*n = -n + y. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12921 is divided by 12839.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2 - 3 + 27*w**2 - 35*w**2 wrt w.\nAnswer: -16*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 + 21*a - 16. Let d be -7*(-9)\/126*40. Determine k(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -14f + -2866?\nAnswer: -29b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14249 - -27802. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -148. Suppose 38*f - 140 = 10*f. Suppose -f*a + d = -472. Does 30 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/7 - 7316*p\/7 - 1823282\/7.\nAnswer: -2*(p + 269)*(p + 3389)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -1326 in increasing order.\nAnswer: -1326, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -82a7 (base 14) to base 4\nAnswer: -11133123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -7236, -57655, -194504, -461001, -900364, -1555811?\n\"Answer: -7203*t**3 + 3*t**2 - 7*t - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.05 - -5. Let z = s + 0.35. Suppose 0 = -6*p + 32*p - 26. Which is the second biggest value? (a) z (b) 9 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*u + 14*u + 4719 = 0. Is u a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5073*q**2*y - 373*q + y wrt q.\nAnswer: -10146*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 11, g: 2}. Give prob of sequence bbg.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1627045697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-602 - -610)*70\/8.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4166 or -170746\/41?\nAnswer: -170746\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33979?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -45042 + 5?\nAnswer: -45034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*s**2 - s + 5*s + 219*s**2 + 30*s**2 + 20*s as w + f*s + n*s**2 and give f.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 35*v + 13 + 22 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 4:43 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (13\/(-3))\/(7\/21). Let w = f + 19. Is 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 630 and 213646440.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11452475?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6144694 and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 0*a = 0. Suppose a = 4*d + 8 - 16. Suppose -d*g + 84 - 6 = 0. Is 19 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.2 in -5, -0.02, 1, -1.6, -2841?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 AM and 11:39 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45 - -63. Suppose 9*s - 3*s = c. Solve -s*y - 2 + 8 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7812 and 22534272?\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 28159 - -2?\nAnswer: 28161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 2 = -h, 2761*n - 6*h = 2766*n + 12 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-2432)\/(-34656))\/(-5*(-8)\/380)*(-342)\/4\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 93012611 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-6\/17)*u**14*u)\/((u\/(((u**1\/u)\/u)\/u)*u)\/(((u*u**0)\/u*u)\/u)) assuming u is positive.\nAnswer: u**(198\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.67 and -4.\nAnswer: -3.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2413\/635 - 3\/(-15). Put t, 0, 24, 3, 58 in decreasing order.\nAnswer: 58, 24, t, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1013 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5692566?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - h - 12 = 0. Let i(v) = -v**2 - 30*v + 82. Calculate the lowest common multiple of i(-32) and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129 + -0.01?\nAnswer: 128.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 + -23.392. Let z = 0.608001162 - i. What is z rounded to seven decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 76 and 32.\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7326.7235 - -7311.1. Round u to 1 decimal place.\nAnswer: -15.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 62673, 125346, 188019, 250692?\n\"Answer: 62673*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28.4 - -29. Let v = 47041\/6 + -7840. Which is the nearest to -1? (a) 4 (b) 6 (c) v (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (23*(-35)\/32200)\/(-1)\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -258*0.09297\nAnswer: -23.98626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3357523027 to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + t)*(-27*t - 21*t - 14*t)*(-2*t + 2*t - t**2) to m*t**3 + r*t + n*t**4 + d + h*t**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 175 = -11. Suppose -5 = -2*f - r. Let n = f + 13. Put n, 5, -2 in descending order.\nAnswer: 5, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12*y**3 + 1440*y - 29789.\nAnswer: -36*y**2 + 1440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 10*n**2 + 3*n - 7. Is l(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -332 divided by 10\nAnswer: -166\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/2*(-28)\/(-84). Is k at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-1*sqrt(1088) - (1*sqrt(1088) + 4))**2.\nAnswer: 448*sqrt(17) + 53328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-105 - -107)*(0 + (-57)\/(-15))*5?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4)\/(sqrt(2) - sqrt(8)) - (sqrt(16)\/sqrt(2) + sqrt(8))\/sqrt(4)) + 1.\nAnswer: -3*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 7 + -5 + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 9*v - 6. Let u(r) = 26*r - 17. Let c = 96 - 92. Suppose -2*b + 57 = -5*m, -2*b + 3*b = 3*m + 34. Give c*u(y) + m*p(y).\nAnswer: 5*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 508329 divided by -27?\nAnswer: -18827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b**(2\/7))\/b*b\/((b*b**(-5)*b)\/b)*((b**(-3)*b*b)\/b)\/b*((b*b*b*b**6*b)\/b)\/b)\/((b**(-1))**13\/(b\/b**(-1\/4)*b*b**(-6)*b)) assuming b is positive.\nAnswer: b**(603\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 31506252419 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6)\/(sqrt(2)*2))**2 - sqrt(3)) + ((-2*sqrt(21))\/sqrt(7))**2 - (-1*((sqrt(3) - sqrt(189)\/sqrt(7)) + -4))**2.\nAnswer: -17*sqrt(3) - 61\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25 (base 7) to base 8.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 - 0.4. Let z(m) = -m**2 + 1. Suppose -o + 8 = 3*o. Let i be z(o). Which is the nearest to 1? (a) i (b) s (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*b + 14*b + 13. Let s(y) = y**2 + 5*y + 6. Let d be s(-4). Suppose 8 = -d*f, -b = -5*g - 4*f + 301. List the prime factors of g.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 366281 is divided by 697.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -130 - -134. Suppose -4*l = -t*y, -4*l - 13*y + 8*y + 18 = 0. Factor -2*o + 1\/11*o**l + 11.\nAnswer: (o - 11)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 1198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2781124.\nAnswer: 2, 695281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 307815 is divided by 698?\nAnswer: 695","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of 1\/30*r**6 - 99*r + 0*r**4 + 0 - 1\/5*r**5 + 0*r**3 - 105\/2*r**2. Differentiate s(b) wrt b.\nAnswer: 4*b**3 - 12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 92.5 + -167.5. Let p be 2\/21 + (-4)\/(-12). Put -1, p, r in descending order.\nAnswer: p, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 9:26 AM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6635708, 6635710, 6635712, 6635714, 6635716?\n\"Answer: 2*u + 6635706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 879 = 7*v - 4*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 3*s = 123, -1690 + 1605 = 2*b + 3*s for b.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 + 3. Suppose 6*o + 18 = 3*o. Let j = o + 9. Suppose -b - 4*i = j - 27, 3*b - 32 = -4*i. Give x(b).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1884859 and 3644?\nAnswer: 911","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of x**6\/6 - x**5\/4 - 5*x**4\/4 + 5*x**3\/6 + 5*x**2 + 13*x. Determine m so that k(m) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-8)*84\/(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 3)*(8*c - 16*c - 32*c)*(0*c - c**2 + 0*c).\nAnswer: 40*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -69*u**5*y**2 - u**2*y**2 - 17*u*y**2 + 2*u wrt u?\nAnswer: -4140*u**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.17 + 0.07. Let g = m + 0.9. Let k = 1.8 - g. What is the second biggest value in -2, k, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26.34 - -25.34. Which is greater: r or -8\/133?\nAnswer: -8\/133","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 - 27.4. What is the closest to -0.1 in -5\/3, u, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) - -2*sqrt(70))*-4)\/((sqrt(180)\/sqrt(3))\/sqrt(6)).\nAnswer: -12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-26)\/(-455)*-7*-5. Let t(b) be the third derivative of -b**4\/24 + 7*b**3\/6 + b**2. Let x be t(5). Solve -x*a = a + v + 8, -v = o for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -100 and -98 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7\/3 (b) 18 (c) 0.2 (d) 1 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 4:55 PM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.50060834 - 0.06\nAnswer: 0.44060834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 5 - -3 - -9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3 and -434?\nAnswer: 433.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13470.\nAnswer: 2, 3, 5, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 64237567 a multiple of 2698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.2674100026 to 3 dps.\nAnswer: 1.267","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 62 - 63. Let y(i) = -27*i**3 - 7*i**2 - 9*i - 2. Let t(m) = 4*m**3 + m**2 + m. Let a(b) = 6*t(b) + y(b). Give a(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u + 3*u - u)*(0 + 2 - 1) to the form l + n*u and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - k = -53, -k = 2*w - 5*w - 33. Let m = w - -7. Let l be ((0\/m)\/(-2))\/1. Solve l*u = 3*u + 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-98)\/(-35))\/((-3)\/(-30)). Let o = 63 - z. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0)**(-14)\/(m*m*m**(-2\/3))**(-23) assuming m is positive.\nAnswer: m**(92\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = -4*p - h - 56, -2*p - 54 = 2*h. Let l be (-12)\/p + 808\/64. Calculate the highest common factor of 221 and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cpy when three letters picked without replacement from cypaqppppcaayaqapq.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*c = 1598 - 1361. Let k(l) be the second derivative of -l**4\/12 - 2*l**3\/3 - l. Let q be k(-4). Solve q*s + c*s = -6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/3)\/(-8)*-2\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 30 = b. Let r = b + -6. Let h be (-9)\/r + 3595\/(-8225). Which is greater: h or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 162 = -s - 2*a, 3*a + 9 = 0. What is the second derivative of -1 + 12*f**2 + 52*f - 39*f**2 - s*f wrt f?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1773 and 16.944.\nAnswer: 1789.944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -853614 <= -853614?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -40*i**3 - 121914*i**2 + 5084248*i - 759894 = 0.\nAnswer: -3089, 3\/20, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -2076, -0.12?\nAnswer: -2076","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14 + 2*i**3 - 14 + 5*i**3 - 3*i**3 + 0*i**3 + (-1 - 3 + 5)*(-2*i**3 + i**3 + 3*i**3) + 3*i - 3*i + i**3 + 4 + i**3 + i**3 - 10.\nAnswer: 9*i**3 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 43914977*q**4 + 159179098?\nAnswer: 175659908*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7*(-2 - 2 - -5). Is u smaller than 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**5\/6 - 7*o**4\/6 + 7*o**3\/3 - 4*o**2\/3 = 0. Calculate o.\nAnswer: 0, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 10:59 PM?\nAnswer: 8:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 = 13*m + 16 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-21)\/12)\/((-6)\/24). Suppose 3 = 5*w - t. Solve -2\/7*p**3 + 2\/7*p**w + 0 + 0*p = 0 for p.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 274390.445 to the nearest 10.\nAnswer: 274390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/14)\/8*((-3 - -2) + 3).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.54 + -4124110?\nAnswer: -4124109.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -480 = x - 5*x. Does 30 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -16\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39 - -36. Let r(n) = n. Let a be r(w). Sort -5, a, 2.\nAnswer: -5, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2344951 is divided by 47856.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -131*x - 348 - 45. Suppose -5*c + 9 = -6, -5*m - 2 = c. Let f be 1 + (-5)\/m*-1. Is x at least as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (64\/(-192))\/((35\/375)\/7).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -14*i**3 + 23*i**2 + 14*i - 26. Let q(o) = -5*o**3 + 8*o**2 + 5*o - 9. Let b(v) = -6*p(v) + 17*q(v). Calculate b(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rfrfrrwrfrurrr. Give prob of picking 2 r and 1 f.\nAnswer: 27\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 18*s**2 + 2*s + 34. Let j be h(-18). Put 1, 5, j, 3 in descending order.\nAnswer: 5, 3, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -8. Suppose -99 = -n*k - k. Let f = k - 16. What is the greatest common factor of 85 and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 113*o**2 - 261*o**2 + 116*o**2 + (-1 + 2*o + 1)*(-2*o - 4*o + 4*o) - 6*o**2 + 2*o**2 + 3*o**2 in the form n + r*o**2 + w*o and give r.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4 (b) 0.1 (c) 0 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a - 4384 - 470 = 0. What is a rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 3*l**2 - 7*l + 134. Let x(a) = -3*a**2 + 7*a - 137. Let h(t) = 4*k(t) + 3*x(t). Differentiate h(y) with respect to y.\nAnswer: 6*y - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 555 a factor of 71143474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 106979699 to the nearest integer?\nAnswer: 10343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/11))**(-21\/4)*(b\/b**(-2\/9))**(-1\/12))**(7\/2) assuming b is positive.\nAnswer: b**(7091\/2376)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 PM and 10:53 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 - 9.8. Which is the second smallest value? (a) 5 (b) p (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8146965.\nAnswer: 3, 5, 543131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 309469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/14418 and -79\/52866?\nAnswer: 158598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = w + 3*w + 2*f, -2*f = -2*w + 54. Suppose w*v - 146816 = 16*v. Suppose -7*o + 1878 = -v. Round o to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.02 + 0.22. Let q = 0.064 + 0.066. What is the smallest value in i, q, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bwze when four letters picked without replacement from eeezwbeeeebezwc?\nAnswer: 8\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - (1 + -2)*211. Let c = a - 79. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 10 - 7*i + 8 - 5 + i + 4*i**2. Let b(r) = -7*r**2 + 11*r - 25. Let x(d) = -6*b(d) - 11*z(d). Find the first derivative of x(f) wrt f.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-2 + -1 + 3 - 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of 2421*d**8\/112 + 46*d**5\/15 + 7*d**3\/3 - 3193*d**2. Find the third derivative of j(z) wrt z.\nAnswer: 435780*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -164 - 22818.9102\nAnswer: -22982.9102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/2 - 25877*x + 51756.\nAnswer: -(x - 2)*(x + 51756)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 64955138?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 7\/3, 3, 10, 4, 2\/3 in descending order.\nAnswer: 10, 4, 3, 7\/3, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*g + 5*v + 85 = -40*g, 72 = -62*g + 60*g + 6*v + 166 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 + 14*u - 22. Determine z(-15).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5356 is divided by 5355?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 11 + 28 = -2*k + 19, -3*k - 3 = -g for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4664 + -646?\nAnswer: 4019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -514*s + 79 - 489*s + 885*s wrt s?\nAnswer: -118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4141 - -4984. What is the remainder when q is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, x: 2, l: 6}. What is prob of sequence rlrl?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3786 is divided by 111?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 336 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1237 + 2074?\nAnswer: 635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50230 - 50260 + 48*k + 150753 - 50263.\nAnswer: 48*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170 = 32*h + 86 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 12 - 2 + 2 + 105*p - 111*p - 2*p**2. Let f be m(-7). Let i be (-96)\/f - 2\/11. Solve -c + i*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l - 1. Let j(n) = -23*n - 12. Give -14*i(s) + 2*j(s).\nAnswer: -18*s - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 0. Suppose c + k = 3. Suppose -c*v + 3 = -15. Solve 3*x = -l + 4*l, -5*x + 3*l + v = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c. Let y(p) be the third derivative of -p**4\/8 + 14*p**2. Give y(r(u)).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1081 or 4325\/4?\nAnswer: 1081","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 2887310640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 12b0c192 - 3?\nAnswer: 12b0c18c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*x - 8*x. Solve x = 4*v - f + 2 + 23, -15 = -3*f for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 2*z - 37. What is the nearest to 0.03 in 4, z, -0.2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 63964114.\nAnswer: 1\/63964114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - -2)*(0 + 1). Let r = -3 + g. Suppose -5*i - 7 - 13 = 0. Put r, 2, i in increasing order.\nAnswer: i, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 233524.\nAnswer: -3\/233524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -922, -919, -930, -961, -1018, -1107?\nAnswer: -1234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 + 4*b**2 + 2*b + 6. Suppose a = 5*i - 19, 2*i = -2*a + 2 - 4. Let k be y(a). Let h(u) = -3853 - 3*u - 3888 + 7743. Calculate h(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwjwwjj. Give prob of sequence wj.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 7*t. Let m(c) be the first derivative of -3\/2*c**2 - 12 - 2\/3*c**3 - 3*c. Let l(u) = -u**2 - u - 1. Let n(i) = -6*l(i) + 2*m(i). Calculate n(p(x)).\nAnswer: 98*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + 18*q**2 - 19*q + 32. Determine p(17).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5049, 13, 4, 48, 0 in ascending order.\nAnswer: -5049, 0, 4, 13, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 221 and 57317.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12224 divided by -32.\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 7*c**2 + 22*c + 4. Let s = 16 - 20. Let z(r) = 3*r**2 + 10*r + 2. Let p(m) = s*x(m) + 9*z(m). Determine p(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*b + 128*b + 2*c = 25, -87*b + 83*b = c + 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 25*g**2 + 27*g - 45. Let d be t(24). Let k be d\/3 - (-45)\/9. Solve 0 = -5*q + k + 6 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1496.4412 to the nearest 100.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1756*t + 917*t = -908*t - 2829 for t.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/4 of a millimeter in micrometers?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-60)\/(-25) - 2)\/((-2)\/(-140)). Calculate the greatest common divisor of 4 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 119 or 125?\nAnswer: 119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-4535523.\nAnswer: 2267761.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23946884 and 2132.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(30\/(-108))\/(-5).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -443, -887, -1333, -1781?\nAnswer: -2231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 8303934.\nAnswer: 16607868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 192 - 203. Let j(n) = -n**2 - 5*n - 6. Let v be ((-6)\/15)\/(2\/30). Let c be j(v). Does c = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2443 (base 5) in base 16?\nAnswer: -175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (9 + 2)\/(-2 - -1). Let x = -10 - l. Solve 2*j - 3*z = 21, -2*z + 4 = 5*j - x for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -89822999*j. Let n(w) = -7*w. Give n(f(o)).\nAnswer: 628760993*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*m = a - 4, 0 = -2*a + 2. Let d be (-2 - (-5 + 3)) + 2. Let s(i) = -d - 8*i + 3 - i. What is s(m)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*f**3*i**3 - 9*f*i**3 + 8*f*i**2 - 52*i**3 + 4*i wrt f.\nAnswer: -6*f**2*i**3 - 9*i**3 + 8*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 194 divide 280330000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 + 12*z + 17. Let h be r(13). Solve t = -h*t - 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -90 + 90. Suppose q*t + 6 = 2*t, j = 4*t - 79912. What is j rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25 + 25. Let z = 1 + -1. Let x = z + 3. What is the closest to d in x, 4\/5, 5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c - 2. Let d be s(4). Let w be (d + (-14)\/5)*20. Let z(v) = -v**2 - 15*v + 21. What is the units digit of z(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52 - 27 - 27 - 3797*n.\nAnswer: -3797*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w + 35 = -5*j + 3*w, 5*j + w + 25 = 0. Let m = j + 19. Let u = 31 - m. Is u a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28692 + -28684. What is the remainder when 51 is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j. Suppose 2*w + 5*r = -w + 11, 4*w = 2*r + 6. Let i(u) = -2 + 10*u - 9*u + w. What is i(k(d))?\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 5:14 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 62*i - 16. Let g be r(3). Suppose -4*b = b - g. Let u(a) = 11*a**2 + 17*a + 6. Let w(s) = -2*s**2 - 3*s - 1. Determine b*w(l) + 6*u(l).\nAnswer: -2*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12612*o - 9750*o - 7515*o.\nAnswer: -4653*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -4. Let p(d) be the second derivative of 4*d**2 + 2*d - 2. Let h(f) = 9*m(f) + 4*p(f). Let y(c) = -c + 9. Give -5*h(k) - 2*y(k).\nAnswer: 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -460119.23 + 0.2\nAnswer: -460119.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 5*n + 26726 = 0, b + 284*n - 285*n - 6682 = 0. What are the prime factors of b?\nAnswer: 2, 3, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, -1, 3, 12 in ascending order.\nAnswer: -3, -1, 3, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20189 + 20234. Solve 5*p - q = -5 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3301 to the nearest 100.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-66*m**3 - 780*m**2 + 780*m**2)*(0*m + 4*m - 3*m + 1) + (m + 2*m - 2*m)*(-m**3 + 3*m**3 - m**3) as p*m + x*m**3 + t*m**4 + n*m**2 + k and give x.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c + 11. Let t be u(-6). Let d(r) be the second derivative of -r**4\/12 + r**3 - r**2 + 32*r. Give d(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggmgvkkgkmkvvgkkkgk. Give prob of sequence vv.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 88*s**2. Let f(c) = -2*c**2. Calculate o(f(w)).\nAnswer: 352*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 - 42 = 4*k + 4*u, 2*k - 3*u = -4 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**5 - 3*y**5 + 2*y**5 + (-4*y**2 + 4*y**2 - 2*y**2)*(-2*y**3 - y**3 + 2*y**3) - y**5 + 0*y**5 + 2*y**5 - 4*y**3 + 4*y**3 + 2*y**5.\nAnswer: 4*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 70048 - 16601291\/237. Let p = i + -2\/79. What is the nearest to -1 in p, -2\/7, -3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 86, 77, 50, -1, -82, -199?\nAnswer: -358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 * -14\nAnswer: -0.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - 17055123\/(-513) - 3. Let l = -24415791571\/733932 + a. Let g = -2\/3219 + l. Calculate the common denominator of 25\/6 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 8*p - j = -1944, -1457 = -3*p - j. Suppose -5*r + p = -923. List the prime factors of r.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14*-13759\nAnswer: -192626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 - -21. Let g = 12603.35 - 12603. Put g, h, -2 in ascending order.\nAnswer: -2, h, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 249 (b) 0.4 (c) 8 (d) -0.5 (e) 2\/3 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and -6278554312773.2.\nAnswer: -6278554312773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 4:58 PM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 14890*u + 74357. Determine w(-5).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-380)\/(-7030) + (-176116)\/(-74)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 17, 2\/19, 1\/2, 3491?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 3*t = -294, -22*t + 20 = -17*t. What is the remainder when 934 is divided by c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 32 = 5*b - 7, -d = 3*b + 15. Let w(y) = y**3 - y + 10. Let n be w(d). Suppose -2*h + 20 = 2*h. Calculate the highest common divisor of n and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9331 + -9097. What is the remainder when i is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m - 11. Let j be f(8). Let i = 17 + 13. Solve j*l - i = -5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 116*j**3 - 13*j**2 + 8. Let v(y) = -582*y**3 + 69*y**2 - 40. Calculate 21*h(r) + 4*v(r).\nAnswer: 108*r**3 + 3*r**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(20) + sqrt(20) + (sqrt(120)*-3 - sqrt(120))\/sqrt(6))\/sqrt(10).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**1)**(-35\/4))**39)**(-24) assuming p is positive.\nAnswer: p**8190","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 2*i**2 - 2*i. Suppose 4*x - 25 = w, 4*x - 61 + 10 = 3*w. Let g = 38 - w. Let b(l) = 9*l**3 - 17*l**2 + 17*l. Calculate g*j(f) + 6*b(f).\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -264 + 399. Is c a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2790*i**3 + 1375*i**3 - 2*i - 107*i**4 - 3*i**2 + 1414*i**3 - 2 to o*i**3 + y*i**2 + t + f*i**4 + z*i and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -414 = -100*c - 38*c. Solve c*z - 5 + 11 = -3*p, p = -4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26*g + 90 + 66 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21036 + 17838509\/848. Calculate the common denominator of 38\/159 and l.\nAnswer: 2544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of -1\/2*t**4 + 3\/2*t**3 + 0 + 8*t + 0*t**2. Find the second derivative of u(y) wrt y.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = z - 8, 21*z - 17*z + r = 18 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -82442821, -82442820, -82442819, -82442818?\nAnswer: -82442817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2464, 0.4, -1753 in ascending order.\nAnswer: -1753, 0.4, 2464","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00027584245 to 6 dps.\nAnswer: 0.000276","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10649?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 300 - 304. Let k(w) be the third derivative of -w**5\/60 - w**4\/4 - 5*w**3\/6 - w**2. Give k(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5 + 2 + -3 + -1 + (3*((sqrt(1377) + -1 + sqrt(1377))**2 + sqrt(1377)) - sqrt(1377)))*2.\nAnswer: -33060 + 180*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.74290716 to one decimal place.\nAnswer: -8.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d + 5. Let f(w) be the third derivative of 20 - 20 - 4*w**2 - w**3. Let v(s) = -5*f(s) - 6*k(s). Let o(y) = 2*y**2. Determine o(v(r)).\nAnswer: 72*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.65 - -0.6. Let m = 2.05 + r. Let q = 0.41 - 0.91. What is the nearest to m in q, -4, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39044846963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*a - 0. Suppose -5*p = -2*o - 2*p + 87, -163 = -4*o - a*p. What are the prime factors of o?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of 0*q**4 - 1\/5*q**5 + 0*q**2 - 4*q + 1\/2*q**3 + 0. What is the second derivative of n(m) wrt m?\nAnswer: -24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10177 - -895.\nAnswer: -9282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117)*-2 + sqrt(117))\/sqrt(3))\/(sqrt(147) + sqrt(147)*-2 - sqrt(147)) + 4 - 3*(((sqrt(325) + sqrt(325)*3)*4 + sqrt(325))**2 + -1).\nAnswer: -281768 + sqrt(13)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-70))\/((3\/(-24))\/(-1))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 5*i**2 + 46*i + 435. Determine p(-13).\nAnswer: 1189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000187337 rounded to seven dps?\nAnswer: 0.0000187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 111590063 to the nearest integer?\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/7525824 and -97\/1452352.\nAnswer: 82784064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000095641 to seven decimal places.\nAnswer: 0.0000956","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 184.02 times 1636?\nAnswer: 301056.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) - sqrt(78)\/(2*sqrt(6)) - sqrt(117)\/(sqrt(9)*-2) - (2 + 2*(-1 + sqrt(13))).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212\/((10\/(-44))\/(4*55\/(-176))) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 496599.2 litres?\nAnswer: 496599200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4582\/638 - (-8)\/(-44). Let y = -12 - -8. Let p(q) = -q**2 - 8*q - 2. Let o be p(y). Calculate the greatest common factor of z and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1611 divided by -890.\nAnswer: 1611\/890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - v**2 + 6*v + 4. Let h be o(-3). Factor 743 - 743 + h*f**3 + f**3 - 5*f**4.\nAnswer: -5*f**3*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37746.219 + -0.3.\nAnswer: -37746.519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1188 - -2059. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/(-20)*(1 + -3 + 2). Suppose -o - 7*v + 11 = -3*v, u = -4*o + 3*v + 6. Let i be -1 - (22\/8 - o). Which is the nearest to 6? (a) 1\/6 (b) 5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.086659 and -590?\nAnswer: 51.12881","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -0.1, 4, -7\/6, 2\/189, 85, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2 + (((1 + sqrt(19) - sqrt(19)) + sqrt(19) + -2)*-3)**2.\nAnswer: -18*sqrt(19) + 183","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4.72 (b) 2\/23 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -h**5\/15 + 2*h**4\/3 - 2*h**3\/3 - 20*h**2\/3 - 25*h\/3 - 256. Determine t so that a(t) = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 125242 and 35486839?\nAnswer: 4817","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 64*v + 68*v - 11 = 0, 5*t - 5*v + 10 = 0. Suppose b - d - 15 = 8, -t*d = -b + 13. What is the greatest common divisor of 21 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/9*9\/(-6). Suppose -t*g = -6*g - 20. Let w(k) = 5*k**2 - k - 1. Let v be w(-1). Sort 3, g, v.\nAnswer: g, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/9 (b) 4\/3 (c) 2 (d) 2\/147 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 81734 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/3 + 18\/(-14). Let q be (-12 - -11)*-5*(-1)\/(-1). Let l = 0.6 + -2.6. Sort l, j, q in descending order.\nAnswer: q, j, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -5*a + 65, 19 = -249*i + 246*i - a for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2962.17 millilitres in litres?\nAnswer: 2.96217","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 2 = -3*d + 6, 0 = -4*k + 2*d - 16 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/225 and 29\/24300?\nAnswer: 24300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (7*12\/(-16))\/(198\/1320)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 85631 - 85633 - 569*q - 1257*q to o + s*q and give s.\nAnswer: -1826","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/17)*j**(-15)*j)\/(j**27)**(-2\/65) assuming j is positive.\nAnswer: j**(-14487\/1105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00021 to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -33, -40, -41, -36, -25?\n\"Answer: 3*y**2 - 16*y - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4\/3 + 31*b**3 - 94*b**2\/3.\nAnswer: b**2*(b - 1)*(b + 94)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 5 = -z + 3*l, -3*l = -4*z + 2. Let i be (-1)\/(-2)*z*-2. Let v be i - 39\/12 - -1. What is the closest to 2 in 0.1, v, -1\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1698100 to the nearest ten thousand.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12989 - 12963. What is the third biggest value in g, -10, -4?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-30)\/18)\/(2\/(-6)). Which is the nearest to -1\/5? (a) -1 (b) x (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 13 = 7, -t - 3*v = -17. Find the second derivative of -5*q**2 - q**2 + 6*q + 7*q**2 + 0*q**t wrt q.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1200) + 3*sqrt(1200)*6)*5 - -1*(sqrt(1200) - -2*sqrt(1200) - sqrt(1200))*-2) + -4)**2.\nAnswer: -14560*sqrt(3) + 9937216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 PM and 10:29 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 321124 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2124, -4250, -6378, -8508?\nAnswer: -10640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -5 + 2 + 4. Let n(o) = 2*o**3 - o**2 + 2. Give 4*c(f) - n(f).\nAnswer: -2*f**3 + f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that n**4 - 11*n**3 + 39*n**2 - 49*n + 20 = 0.\nAnswer: 1, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -6 + 42 + -22\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -320310 (base 4) in base 8?\nAnswer: -7064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 111247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**2 + 0*g**2 + 2*g**2)*(-9*g - g + 4*g) - 238891*g**2 + 300*g**3 + 238891*g**2.\nAnswer: 288*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5072, 14473, 28218, 46307, 68740?\n\"Answer: 2172*y**2 + 2885*y + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 854027061?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9560888 is divided by 682914?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26.045 + -26. Let y = k + -0.245. Which is greater: y or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/707112 and 1\/505080?\nAnswer: 3535560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 1. Let d(q) = q. Let b(s) = d(s) - 6*w(s). What is the units digit of b(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/10*(-40)\/(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, o: 13}. What is prob of sequence jjo?\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**3\/19 - 446*d**2\/19 + 5576*d\/19 - 15040\/19 = 0. Calculate d.\nAnswer: -235, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*f + 25*f + 9*f - 20*f. Solve -38*x - 152 = -f*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.9886812 centuries?\nAnswer: 98.86812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -2, 2\/3, 0.4, 69 in decreasing order.\nAnswer: 69, 14, 2\/3, 0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -4*u**2. Let a(y) be the second derivative of y**7\/1260 + y**4\/12 - y. Let w(z) be the third derivative of a(z). What is x(w(h))?\nAnswer: -16*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 7*o**2 + 76 - 76 + o**3 - 2*o. What are the prime factors of c(-7)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45526084?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 15 = -10*k. Let g = 13.8 - 14. Which is the second biggest value? (a) g (b) 2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.375486 centuries to decades.\nAnswer: 13.75486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*b + 13*b**3 - 15*b - 63*b**3 - 10*b**3.\nAnswer: -60*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 496 + -346. Let q = d - 95. List the prime factors of q.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 222.58 to the nearest ten.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -83653\/4 - -27605461\/1320. Calculate the common denominator of -137\/1980 and d.\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7242 divided by -213.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.53, -3, 138\/11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 42192 rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 333? (a) 2 (b) 4\/5 (c) 814.4 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand o + 3*o - 3*o + 10*o + 52 - 52 + (3 + 1 - 5)*(2 - 2 - 2*o) + 0 - o + 0 - 4 - 2*o + 4.\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 3) + (3 - 2 - -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + a - 2 + 3 = 0, 4*a = -2*b - 12. Suppose o - b - 24 = -t, -o - 2*t + 33 = 0. What are the prime factors of o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -163*a - 5 + 0*a**4 - 533*a**2 + 34*a**3 - 84*a + 7*a**4 - 3*a**4 + 532*a**2 wrt a.\nAnswer: 48*a**2 + 204*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 115275*m. Let t(f) = 13*f. Calculate 26100*t(q) - 3*w(q).\nAnswer: -6525*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33124 + -3140?\nAnswer: -41314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 102 and 340.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 2*h - 108, 3*h - 36 = -q + 4*h. Are 36 and q unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -164\/9 + 665\/36. Let h be (-1)\/((-2)\/(-6)*1). Which is the third smallest value? (a) 4 (b) t (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -742*p**2 - 3745*p**3 - 750*p**2 + 1492*p**2.\nAnswer: -3745*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (696 - 0)*25\/15. Suppose -2*o = -o + s. What is o rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15*(-10)\/(-125))\/((-6)\/25*-10)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - -15)\/((-2)\/(-11)). Suppose 0 = 5*k + h + 23. Let o = 90 + k. What is the remainder when o is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -937, 6, 3, 147, 4 in decreasing order.\nAnswer: 147, 6, 4, 3, -937","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-892)\/(-33) + (14 - 41)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/60 and 133\/90?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (6 - (5 + 1 + (-1 - 0)))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 592159 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 4*o**3 + 48*o**2 - 59*o - 85. Give g(-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -78*f**6 + f**5 + 82*f**2.\nAnswer: -9360*f**3 + 60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 63*k**5 + 6*k**3 - k - 31. Let j(c) = -63*c**5 - 5*c**3 + c + 30. Let w(v) = -6*j(v) - 5*p(v). Find the second derivative of w(u) wrt u.\nAnswer: 1260*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -278 - -280. Solve 0 = -g*v + 2 - 12 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -2\/5, -158, -642?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 165476587?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39 by 6.\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - 6*x**2 - 3*x + 9. Let d be f(6). Let b(u) = -u**3 + 2*u**2 - 2. Let g(a) = -3*a**3 + 9*a**2 - 9. Let p(k) = d*b(k) + 2*g(k). What is p(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 5 - 3 = 0, 3*p - 4*n = 85. Let x = 8 + 0. Calculate the remainder when p is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-23)\/(((-54)\/12)\/9))\/((-1632)\/(-3264)).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*j**3*p**2 - 44*j**3 - 10*j*p - p**3 - 4 wrt p?\nAnswer: 4*j**3*p - 10*j - 3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -10*g**2 + 11. Let q(p) = -9*p**2 + 11. Let z(l) = 5*q(l) - 4*t(l). What is the first derivative of z(j) wrt j?\nAnswer: -10*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -1. Let d(i) = 2 - 1 - n + 2*i**2. Let l(z) = 2*z**2. Give l(d(r)).\nAnswer: 8*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 3*c = -26, 52 = -2*f + 6*f - c. Let j(a) = -a + 26. Let w be j(0). Calculate the greatest common factor of f and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 163105936?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1114141*k**3 - 640445 wrt k?\nAnswer: 3342423*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + a = 848, 1380 = 5*q - a - 4*a. Suppose 0 = 6*b - 5*b - q. Factor -4*t**3 + 281 + 4*t**2 - b + 8*t.\nAnswer: -4*t*(t - 2)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 + 0 + 0)*(2*p - 4*p + 5*p) - 22*p**3 - 38 + 38.\nAnswer: -25*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39\/(-60)*(-48180)\/167024.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, -5, -17, -1 in descending order.\nAnswer: 4, -1, -4, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-168)\/(-105))\/((-1)\/16). Let q = t - -26. What is the closest to -0.1 in 0, 0.5, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i - 1. Let o be a(6). Suppose 0 = -o*d - 4*u + 20 + 13, 4*u + 2 = 2*d. Suppose -d*j = 3*v + 6, -2*j + 6*j + 3 = -3*v. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -f*p - f*u - 90*f - 4*p*u - p - 4*u wrt u?\nAnswer: -f - 4*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8808 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 244\/8 - 2\/4. Suppose -45 = 4*z - 7*z. Let i be 1*-10*z\/(-2). Calculate the greatest common factor of i and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161 = r - 2*s, -6*s + 3*s = 5*r + 870. What are the prime factors of ((-16)\/18)\/4 - 33896\/r?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1954 and -396541703.\nAnswer: -396541703.1954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 8054?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 70397104?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2572394641.\nAnswer: 2572394641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3799290 divided by 6\nAnswer: -633215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-3\/4)*l**(-1\/8)*(l\/(l**0\/l)*l)\/(l*(l*l\/l**16*l*l)\/l*l*l*l) assuming l is positive.\nAnswer: l**(89\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 2181269247?\nAnswer: 2181269247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -d + 4*z - 32, 4*z = 8. Let k = 16 - d. Let r be k*(0 + (-1)\/(-4)). Solve 2*v - 3 = -r for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 140*q**2 - q - 60. Let n be s(11). Suppose 8*g = -3629 + n. List the prime factors of g.\nAnswer: 5, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/(77\/(-7))*8\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145 + 85 = 4*r for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of 2*v**6\/15 + 44*v**5\/5 + 484*v**4\/3 + 5*v - 6. Solve t(f) = 0 for f.\nAnswer: -22, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*g + 20*g = -15 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 4 - 5)*(357*f + 112586 - 112586) to z + l*f and give l.\nAnswer: -357","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 51129 and 241.\nAnswer: 12322089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 531122 and -1539.38735?\nAnswer: 532661.38735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -5*s**2 - 163955*s - 163950 = 0.\nAnswer: -32790, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 142970.61 rounded to the nearest ten thousand?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13937.89 litres to millilitres.\nAnswer: 13937890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 170 = 9*m. Let j = -108 - m. Let r = j + -29. List the prime factors of r.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242)*4 + (sqrt(10)\/sqrt(45) - sqrt(2)))**2 + (sqrt(108)\/sqrt(6))**2 + (5 + (0 + sqrt(2) - sqrt(2)))**2.\nAnswer: 34187\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 3707.\nAnswer: 5\/3707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 20 + 5, 300 = -5*g - 3*a. Let h = 173\/3 + g. Suppose -4*o = -3*o + 2. Sort h, 0.3, -30, o.\nAnswer: -30, o, 0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 301139 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1143 (base 7) to base 12.\nAnswer: 2b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -666710 + -228.3\nAnswer: -666938.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/3 (b) 0.2 (c) 0.046 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 5*b + 14 = 4, 3*b + 6 = 0. Let g(o) = o + 158. Is g(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2160 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: Let j be 50\/(-15)*4\/((-32)\/(-12)). Does j = -37\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 1\/4 (b) 1301 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/((g\/(g*g**(-6)))\/g))\/(g*g**(-6)))\/((g\/((g*g**(-6)*g)\/g))\/g**1))\/(((g*g*g**(-1))\/g)**(2\/35)\/(g**0\/(g\/(g\/g**(1\/6)*g)))) assuming g is positive.\nAnswer: g**(-19\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 20\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*g + 3892 - 3892.\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 250840 and 250840?\nAnswer: 250840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2438 is divided by 793?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130*z - 798 = -136*z. Suppose 3*k - 128 = z. Calculate the greatest common factor of k and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16477, 32959, 49441, 65923, 82405?\nAnswer: 98887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 570901310 to the power of 1\/2, to the nearest integer?\nAnswer: 23894","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 8*a**2 - 4*a**3 - 3*a**3 + 3 + 2*a**3 + 4*a**3 - 7*a. Let c be x(7). Suppose 0 = -4*q + c*q + 3, 2*t = 3*q + 87. Is t a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-56)\/(-63)*1 - (-6)\/(-9)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g. Suppose 2*z + 4*p = -0*z - 16, 2*z - 2*p - 2 = 0. Let u(m) = 2*m - 1. Let x(o) = z*t(o) + u(o). Calculate x(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -688475*l**2 + 344236*l**2 + 344177*l**2.\nAnswer: -62*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + 1)*6\/(-9). Let l = 0.013 + 7.887. Let f = 7.4 - l. Which is the smallest value? (a) 1\/2 (b) f (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 + (2 + -14 - (-130 + 105))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(75\/(-5)))\/(2\/(-4))\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 352570 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6553 - 6548 - 113*w + 110*w + 13101.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 5*m - 30 = 0, -f + 5*m + 5 = 4*f. Suppose f*c = -2*h - 4, 3*h - 9 = -0*h. What are the prime factors of (c - 0)*(-1 + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + 42\/3 - 0. Suppose 3*s - 3 = -0*s. What is the highest common factor of h and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + 17*d**2 + 12*d - 59. What is the remainder when 10 is divided by o(-16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11.75 + -12. Let p = z - -0.25. Let w = p - 0.00000019. Round w to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -66104*d**2 - 1123719*d + 833.\nAnswer: -(d + 17)*(66104*d - 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2105133?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72 - 72 + 72*c**3.\nAnswer: 72*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/6 (b) 2\/5 (c) 1973 (d) -8.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 1 = -y, -4*y + 1 = -5*d + 10*d for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1327181 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6632, 6841, 7046, 7247?\n\"Answer: -2*t**2 + 215*t + 6419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 5*f - 28, 0*b = 3*f - 3*b. Let l = 40 - 24. What is the lowest common multiple of f and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 - 3*y - 5. Suppose 16 = 5*j - 7*j. Is q(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 415.965 - 416. Let i = t + 1.547. What is i rounded to one decimal place?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -432.5.\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 - 18*p**2 + 5*p + 96. What is s(-18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110111001110 - -10001001?\nAnswer: 111001010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -9. Suppose -5*v + b = -2*i, 5*v - 21 = 2*v - 5*i. Solve 5*g = -v*p + 11, 0*g + 4*p = 4*g - 20 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of t**5\/20 - t**3\/3 - 2*t**2 - 2*t - 7. Let q(n) = n**2 - n - 1. Determine l(v) - 4*q(v).\nAnswer: v**3 - 4*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8193454, 8193446, 8193432, 8193412, 8193386, 8193354?\nAnswer: 8193316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-594*k + 6118 - 6118 + 1 - 1 - 2*k + (-k - 4*k + 3*k)*(-2 + 3 + 1))*(k**4 - 2*k**4 + 4*k**4).\nAnswer: -1800*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 311*s + 647. What are the prime factors of u(7)?\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1100\/(-66) - (-1)\/(-3). Let f be p\/(-4) - 305\/244. Factor 2\/7*i**f + 0*i + 2\/7*i**2 + 0.\nAnswer: 2*i**2*(i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -3*k**3 - 14*k**2 - 7*k + 3. Let o(y) = -9*y**3 + 2 - 1 - y + 8*y**3. Let q(l) = 2*o(l) - r(l). Is q(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 - 25 = 5*f, 3*h - 2*f - 2 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1395 is divided by 323.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2193.325ml to litres.\nAnswer: 2.193325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -41, -79, -117?\n\"Answer: -38*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of 66*p**8\/7 + 2083*p**4\/12 - 2*p + 906. What is the third derivative of b(j) wrt j?\nAnswer: 63360*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 133120 + 3?\nAnswer: 133123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 3 = -2*v, 5*v - 965 = -5*t - 955 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1120 + -585. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 9:59 AM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -2*r + 24, -8 = -5*r + r - 4*f. Suppose r = -4*l - 6. What are the prime factors of ((-30)\/9)\/(l\/27)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n. Let z(j) be the first derivative of -j**4 - 10*j + 40. Let x(p) be the first derivative of z(p). Calculate x(s(c)).\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 u when four letters picked without replacement from {w: 6, s: 11, u: 1}?\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 6) to base 14\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 28*h - 52. Determine f(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r**2 - 470*r + 14007. Calculate i(35).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 224584 and 1072?\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -249 in 23, -1\/2, 0, -0.3, 10, -2\/9?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1291\/76 equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 11:44 PM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*q**5\/3 + 35*q**4\/3 - 50*q**3\/3 - 125*q**2\/3 - 10*q\/3 + 40\/3 = 0.\nAnswer: -4, -1, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3.9 - 1035.0765\nAnswer: -1038.9765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -35 - 14) + -2 + -38.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1850\/(-175) + (-6)\/14. Let x(f) = -7*f**2 - 4*f - 2. Let v(j) = 20*j**2 + 11*j + 5. Give r*x(d) - 4*v(d).\nAnswer: -3*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2777 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -1) + 20 + -20.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 6\/13, -0.047, 2\/7 in decreasing order.\nAnswer: 6\/13, 2\/7, -0.047, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1676.8263 - -14703210\nAnswer: 14704886.8263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 47, -9, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2789231 and 61731471.\nAnswer: 3271767963","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6605360*w**3 - 1293060*w + 3 wrt w?\nAnswer: -39632160*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -4*d - 8. Let b(s) be the first derivative of 11*s**3\/3 + 3006. What is m(b(o))?\nAnswer: -44*o**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + 6*k**2 - 2*k + 8. Let n be f(6). Are n and -4 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + 2 + 8 + 4629 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*t**5 + 2*t**3 - 5698*t**2 - 18284*t wrt t?\nAnswer: 100*t**3 + 12*t - 11396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 2*q + 16 = 0. Let f = q - -5. Which is the closest to 1? (a) -0.1 (b) f (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 8. Suppose 4*i = -0*i + c. Let a(t) = t**3 + 1. Let y(v) = -4*v**3 - 3. Let h(f) = 5*a(f) + y(f). What is h(i)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 - 5*r**2 - 3*r. Let v be f(-5). What is the tens digit of 2 - (-3)\/(v\/110)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14083195*t*y**2 + 5*y**2 + 38788*y - 7 wrt t.\nAnswer: 14083195*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 7*n**2 - 8*n - 1. Let l = 435 - 443. Calculate z(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -9. Solve -f - 4*m + a = f, 2*m + 5 = -3*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - 5\/10*6 - 6\/(-10)*15. Let n = -4.96 + -0.04. What is the closest to 1\/2 in n, v, 7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 8*z**2 + 3*z - 13. Let k be q(-7). Suppose -4*n + 2*n - 3*o = -32, k = n + o. What is the remainder when 24 is divided by n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(2*(sqrt(187)*2 + sqrt(187) - sqrt(187)) + sqrt(187) + -1*-1*sqrt(187)))\/((sqrt(88)*2 - sqrt(22))\/(sqrt(8)\/sqrt(4)*2)).\nAnswer: 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 116\/9 + -5174\/171. Let n = 3070\/133 + i. Which is smaller: 6 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 73*l**2. Let v(g) = -7287379*g. Calculate v(t(h)).\nAnswer: -531978667*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -409318 divided by 2.\nAnswer: -204659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1240 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(88)\/sqrt(8) + -4) + ((sqrt(220)*1 + sqrt(220) + sqrt(220))\/sqrt(5))**2.\nAnswer: -4*sqrt(11) + 412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -23*x - 2. Determine z(-1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2)*(3*k**2 - 6*k**2 + 4*k**2) - 10*k - 3*k**2 + 26*k**2 + 16*k.\nAnswer: 21*k**2 + 6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 divided by -160.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of 4*d**4 + 5*d**3 + 5. Find the third derivative of q(a) wrt a.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -95*u**4 - 890*u**3 - 1575*u**2.\nAnswer: -5*u**2*(u + 7)*(19*u + 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + (1 - 1) + 2. Suppose 5*k - 34 = s*k. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165 = -5*z + 140. Suppose 3*x = 3*a + 15, 5*x - a - 9 = 4. Suppose -x*k + b = -59, -3*b + z = 2*k - 2*b. List the prime factors of k.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j**2 - 19*j + 46. What is i(3)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2. Let l(m) = -48*m - 60. Let o be (26 - -4)*2*(-3)\/(-6). Let u(k) = k + 2. Let y(f) = o*u(f) + l(f). Calculate x(y(s)).\nAnswer: 324*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 6*r - 3. Let w(j) = j**2 - 1. Let d(k) = 6*k**2 - 13*k + 2. Let b(q) = -d(q) + 5*w(q). Let i(a) = 4*b(a) - 9*y(a). Determine i(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11318 - 11318.2. Which is the third smallest value? (a) 0.28 (b) 2\/91 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10010112201202 + -1?\nAnswer: 10010112201201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 6*r - 16. Let t be s(3). Let c(f) = 6 - 4 + 7 + t*f. Let y(k) = -k. Give c(y(d)).\nAnswer: -2*d + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1978 = 2*x + 6*s - s, 2 = s. Let c = -4911\/5 - x. Find the common denominator of c and 40\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4092360, 4092338, 4092314, 4092288?\n\"Answer: -f**2 - 19*f + 4092380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + -1413?\nAnswer: -1413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 2*o + 4. Let r be (3\/2)\/(3\/10). Let w(y) = -y + 1. Let l be w(1). Put r, l, o in descending order.\nAnswer: r, l, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5*j - 1 = -10, 4 = -2*j. Let k = 51 + -51. Put 2, k, y in ascending order.\nAnswer: y, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -61 + 247. Does 31 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/(k**(-1\/8)*k))**(-7))**4)**(-3\/25))**1 assuming k is positive.\nAnswer: k**(21\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 74660 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 5 + 1)*(0 + 0 - 1)*(3 + 0 - 5)*(-2*d + 2*d - d) to i*d + n and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.105 less than 93?\nAnswer: 86.895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 20 = -8*u. Let y be (4\/u)\/((-12)\/(-30)). Let f(a) = -2*a**3 - 4*a**2 - a + 2. Calculate f(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3889272 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 530354 (base 7) to base 8\nAnswer: 262440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/(-44) + (-2)\/8. Let k = -1002 + 1000. Let q be ((-2)\/3)\/(k + 288\/135). Which is the smallest value? (a) q (b) y (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a meter in centimeters?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 - 3*m**2 - m + 4. Let l = -9 - -6. Is 3 a factor of w(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 237 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7105640 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**2 - 5*j**2 - 5*j**2 + 12*j**2.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 - 5*v - 6. Let n(s) = -3*s**2 + 11*s + 13. Suppose 3*f + 5*l = 8*f - 50, -3*l = 5*f - 74. Let x(i) = f*o(i) + 6*n(i). Calculate x(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w + 8. Let h be q(-4). Suppose -34*f - 39 = -47*f. Solve f*x - x - 2 = h for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -7*m**3 + 17*m**2 - 2*m - 7. Let n(d) = -12*d**3 + 34*d**2 - 3*d - 14. Let o(i) = 3*n(i) - 5*x(i). Calculate o(17).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in -3\/2026, -66, 4\/3?\nAnswer: -3\/2026","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*9\/54*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 23*x**3 - 829*x**2 + 28*x + 294. Determine l(36).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -221 (base 6) to base 11.\nAnswer: -78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 11376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1313 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of r**6\/1260 - r**5\/21 + 3*r**4\/28 + 58*r**3\/63 - 2*r**2 - 173. Factor p(s).\nAnswer: 2*(s - 29)*(s - 2)*(s + 1)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.88 - -1.8799702. What is o rounded to six decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22027 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - 5*b**2 - 5*b + 1. Let q be a(-4). Suppose 729 = q*t + 4*t. Calculate the remainder when t is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from 6107.\nAnswer: 6111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 5 + -6 + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 17943*0.0075\nAnswer: 134.5725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -33*g**2 - 29*g + 8. Let s(w) = -w + 1. Let y(d) = -j(d) + 2*s(d). Let y(l) = 0. What is l?\nAnswer: -1, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 1:21 PM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 857812 divided by 11287.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -186479 or -184639?\nAnswer: -184639","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 25*g**2 - 31*g. Let l(b) = -165*b - 3. Determine t(l(k)).\nAnswer: 680625*k**2 + 29865*k + 318","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -83 - -6ba?\nAnswer: 637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 - 10*a + 7. Calculate m(8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -9402*i + 12. Let s(g) = 18811*g - 31. Calculate -5*n(c) - 2*s(c).\nAnswer: 9388*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c**2 + 2*c**2 + 12949 + 5387.\nAnswer: 2*c**2 + 18336","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -10377, 1815, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 316 = -3*j + 2*o, -j - 106 = -0*o - o. Let b = 397 + j. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j + 7*j = 20256. List the prime factors of j.\nAnswer: 2, 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56682960871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 700001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f. Let j(b) = 3*b**2 + 168 - 168. Determine j(y(k)).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -538\/9 + 550\/9. Let m(k) be the third derivative of 0*k + x*k**3 + 0 + 14*k**2 + 1\/24*k**4. Let j(a) = 2*a. Determine m(j(u)).\nAnswer: 2*u + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72 divided by 7.\nAnswer: 72\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 60?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of 16*g**2 - g + 9. Let a be h(1). Suppose 8 + a*q**3 - 80*q + 170*q**2 - 193*q**3 + 64*q**2 = 0. What is q?\nAnswer: 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6555 divided by 10656?\nAnswer: -2185\/3552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 35689 to the power of 1\/2, to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -514, -512, -508, -502?\nAnswer: -494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((5*(sqrt(68)*-1 + sqrt(68) - sqrt(68)) - (sqrt(68) + 2*sqrt(68))*6)\/(sqrt(4)*-1*2 + sqrt(256)) + -1).\nAnswer: 5 + 115*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14*z + 20*z + 12*z)*(8*z + 340*z**2 - 2*z - 327*z**2) in the form y + u*z + i*z**2 + d*z**3 and give i.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83007?\nAnswer: 3, 23, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.12 or 2\/9?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/408 and 76\/90627.\nAnswer: 725016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 353682 and 140.\nAnswer: 3536820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 - 4*c + 1. Let q(n) = -n**3 + n**2 - n + 2. Let d be q(2). Let z be u(d). Put -3, z, 2 in decreasing order.\nAnswer: 2, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2 - 14 = 0. Determine y, given that 0*y**2 + 6*y**2 + 12*y**4 + p*y**5 - 4*y**2 + 9*y**3 + y**5 = 0.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 - -27. Let d(r) = -9*r - 17. Let o(x) = 4*x + 8. Let p(m) = n*o(m) + 6*d(m). What is the derivative of p(j) wrt j?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -205*s**3 - 4*s**2 + 4*s - 2. Calculate n(1).\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -312*n**2 - 172*n**2 + 1873*n**5 - 203*n**2 wrt n?\nAnswer: 112380*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 168\/1092 + 2\/(-13). Solve -34*m + 36*m + 16 = s for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -1. Let r(v) be the third derivative of 5*v**4\/24 + 10*v**3\/3 - 10*v**2. Let x be r(-4). Which is the nearest to o? (a) -1\/2 (b) x (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2952.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202022 - -1?\nAnswer: -202021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -257\nAnswer: 1285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 8568.89 to the nearest ten.\nAnswer: 8570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nrr when three letters picked without replacement from rlrwwrnrrrlr?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 52*w**3 - 30*w**2 - 155*w - 75. Let i be q(-35). Round i to the nearest 100000.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 976170 and 118.\nAnswer: 976288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -10\/3, -2\/5, -50, 12, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 863141.67 nanoseconds?\nAnswer: 0.000000009990065625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 + 4*s + 287. Let f(g) = 2*g + 285. What is -3*f(i) + 2*n(i)?\nAnswer: -2*i**2 + 2*i - 281","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-10)\/(x*x**(2\/3)*x))\/(x**2*x)**(-47))**(-1\/2) assuming x is positive.\nAnswer: x**(-385\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1193*l**5 - l**3*s - 10*l*s + 2*l + 27 wrt l?\nAnswer: 23860*l**3 - 6*l*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -203146 + 3.54\nAnswer: -203142.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5377 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8911 divided by -10274?\nAnswer: 8911\/10274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21112 is divided by 1838?\nAnswer: 894","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i - 2*i - 2*i)*(19*i**3 - 3*i**3 + 7*i**3).\nAnswer: -92*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 5*u. Let j(m) = -6*m**2 + 3*m. Let v(s) = 71*s**2 - 21*s. Let i(o) = 21*j(o) + 3*v(o). Give i(d(b)).\nAnswer: 2175*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -27*w**2 + 1147*w - 517. What is a(42)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**5\/3 + 56*c**4\/3 + 194*c**3 + 2704*c**2\/3 + 5248*c\/3 + 1024.\nAnswer: 2*(c + 1)*(c + 3)*(c + 8)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 70187.19 months in decades?\nAnswer: 584.89325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 - 19. Let o(z) = z**2 - 5*z + 2. Let n be o(a). Solve -n*k - 2 = -0*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 192\/(-104) - (-2)\/(-13). Let q(l) = 31*l - 9. Let a(o) = 47*o - 14. Let x(h) = 5*a(h) - 8*q(h). What is the remainder when 82 is divided by x(b)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3414 - 2)\/(8\/(-28)). What is the common denominator of (-2)\/9 + i\/(-1008) and 21\/22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -700, -2828, -6370, -11320, -17672, -25420, -34558?\n\"Answer: q**3 - 713*q**2 + 4*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 2933, 10803, 26125, 51383, 89061?\nAnswer: 141643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2*x = 258, -2*x = -2*v + 3 + 235. Let g = -12163 + 12206. What is the remainder when v is divided by g?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109923816 to the power of 1\/2, to the nearest integer?\nAnswer: 10484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*x = -41*x + 22*x - 7*x + 1044 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -29.123?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-30)\/(-42) + 4\/14. Let a be (-4)\/(-28)*0 + 104*i. What is the greatest common divisor of a and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/3*6\/4*(-1500)\/((-2125)\/17)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwrnwkbn. Give prob of picking 1 r and 1 n.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 55637.109 to the nearest one thousand.\nAnswer: 56000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4 = 8. Suppose v = g*v - 18. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -82, -83, -84?\n\"Answer: -g - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-16)\/12)\/((-2)\/6). Let z = l - 2. Factor -3*d + d - 2*d + 6*d**2 - z*d + 2 - 2*d**3.\nAnswer: -2*(d - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 154 + -106. Let t be ((-100)\/(-12))\/((-3)\/(-9)). Let h = p - t. Does 20 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111211210 (base 3) to base 8\nAnswer: 23554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(304) + sqrt(304) + 0 + 4 + (sqrt(304) - (sqrt(304) + -2)) + 2.\nAnswer: 8 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -84, -88, -96, -108, -124?\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -5*j + 2*p, 5*j - 3*p = p for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29367*z + 29367*z + 31*z**2.\nAnswer: 31*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-111)\/74 - 149\/(-120) and -22\/15.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + s - 1. Let c be t(1). List the prime factors of 10\/(-6)*(-4 - c).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t**3 - t**2 + 8*t + 15. Let l be a(-4). Suppose -l = -g - 2*y, -2*y = 3*g + 3*y - 472. What is the smallest common multiple of 10 and g?\nAnswer: 1490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d**2 - 5*d + 6. Suppose -2*j - 8 = -0, 3*z - 86 = 5*j. Suppose -4*r = -2 - z. Does 17 divide i(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l + 3. Let d be i(-6). Is (423\/(-3))\/d - 1 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30 - -9. Let w = h - -29. Suppose -11 - w = -3*x - 5*p, 0 = -3*x + 4*p - 26. Which is the second smallest value? (a) x (b) 4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 + 1368\/(-45) - -15)\/((-4)\/(-160))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -33c - 0?\nAnswer: -33c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2*p - 10779 - 36077 = 0, -2*p - 2 = 0. Suppose 1316 = -13*h + w. What are the prime factors of h?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13 and -1259182.\nAnswer: 16369366","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 2 i when four letters picked without replacement from {b: 2, i: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1405\/562)\/(590\/(-8)).\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -238.\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p - 4*p + 3*p)*(-3 + 3 + 1) + 3 - 3 + 2*p + 1 + 4*p - 1 + (-2 + 1 - 2)*(4 + 13*p - 4)*(-1 + 6 - 4).\nAnswer: -31*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1774\/1855, 4, -0.03 in ascending order.\nAnswer: -0.03, 1774\/1855, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 + 87*y**2 - 41 + 22.\nAnswer: 87*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4797 and 78.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z**2 - 3*z + 2*z**2 - 4*z - z.\nAnswer: -2*z**2 - 8*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 15 = 266095*j - 266092*j, -2*j = 4*y - 8 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, p: 1, d: 9, b: 5}. Give prob of picking 2 d.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1556194 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -267*q**3 + 1376*q**3 + 1348*q**3 + 5*q - 512*q**3 to the form r*q**3 + o + a*q + t*q**2 and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3 + 21*k**2 + 8*k + 2*k**2 + 4*k**4 - 3*k**2 + 17*k**3.\nAnswer: 4*k*(k + 1)**2*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 616292?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of -v**6\/270 + v**5\/180 + v**4\/18 + 15*v + 65. Let x(a) be the first derivative of z(a). Suppose x(c) = 0. Calculate c.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 divided by 257\nAnswer: -31\/257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/9*0*127\/254. What is the closest to -0.01 in 3, -1.6, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 8 = 5*j, -3*j + 2*s + 1 = 5 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**3 - 14*w**2 + 30*w - 1263. Calculate v(11).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20068, -160678, -542326, -1285528, -2510800, -4338658?\nAnswer: -6889618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 4041497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/14)\/(90\/(-108)*3).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000012321 to 7 dps.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 1:10 AM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.029504 rounded to three decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m - 10*t - 35, -2 = 3*t + 10 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21975 is divided by 4394.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*p = -16*p + 5*g + 70, g = -11 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddapdspssspsd. Give prob of sequence ppp.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67 + 19*x**3 - 13*x**3 - 7*x**3.\nAnswer: -x**3 + 67","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2955528 and 13683?\nAnswer: 2955528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -47099652*r**2 + 38797497*r wrt r?\nAnswer: -94199304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uyb when three letters picked without replacement from bbaualaublalabalya?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 4*h + 4557556*h**2 + 2*h - h**3 - 4557747*h**2 to the form z*h**2 + n + g*h**3 + o*h and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -4*r - 6. Is (2 + -1)\/(r\/(-1770)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 378335?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -645, -616, -441, -48, 635, 1680, 3159, 5144?\nAnswer: 7707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 209 + -205. Calculate the highest common divisor of 12 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*(t*((t\/t**6)\/t)\/t)\/t)\/t*t**(-5)*(t*t\/((t**(3\/5)*t)\/t)*t)\/(t\/(t*t\/((t**(2\/19)\/t)\/t))))**(-19))**(3\/16) assuming t is positive.\nAnswer: t**(1911\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03300574 to 5 decimal places.\nAnswer: 0.03301","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -8.8. Which is the closest to -0.1? (a) o (b) 5 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -203213102233 + 3?\nAnswer: -203213102230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27897503?\nAnswer: 1907, 14629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 971 is divided by 193.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of -2*s**6\/5 + 13*s**5\/25 + 2*s**4\/5 - 7*s**3\/15 - s**2\/5 - 7. Determine d, given that r(d) = 0.\nAnswer: -2\/3, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3 + 3038*r**2.\nAnswer: r**2*(r + 3038)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*n + 6 = -10*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 798 and 210?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1777422287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 + -17. Which is smaller: -25 or i?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 563, 2220, 4979, 8840, 13803, 19868, 27035?\nAnswer: 35304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1032236?\nAnswer: 2, 151, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3442, 6868, 10292, 13714, 17134, 20552, 23968?\n\"Answer: -r**2 + 3429*r + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4276 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -474632623\/2880 + 164803. What is the common denominator of a and 75\/4?\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/((-550)\/(-20)))\/((-1)\/25).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1)*(2*y - 1 + 1) + 3 - 20 + 19 + 183*y - 3*y + 4*y - 3*y + (-2 - 1 + 1)*(-3*y + y + 3*y) - y - 3*y + 3*y.\nAnswer: 182*y + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 3:25 PM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3734591, 7469179, 11203767, 14938355, 18672943?\nAnswer: 22407531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seventy-three fifths of a milligram?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2*k = -80, -322 + 426 = -4*d - 2*k. Let p be (d\/(-75))\/(4305\/4275 + -1). Factor -72\/5*w**2 + 0 + 0*w - 128\/5*w**4 + p*w**3 + 4*w**5.\nAnswer: 4*w**2*(w - 3)**2*(5*w - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1170?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -5*l - 2. Let m(y) be the second derivative of y**3\/6 - 9*y. Determine a(s) + 4*m(s).\nAnswer: -s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a\/a**(-2\/7))\/a)*a)**48\/((a**(-2\/9)\/a*a)\/((a**(2\/7)*a)\/a)) assuming a is positive.\nAnswer: a**(5216\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(77)*-2*-2)\/(3*(sqrt(7)*1 - sqrt(7)) + sqrt(7) + -5*sqrt(7)*-1)*6.\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*sqrt(25))\/(6*sqrt(5)*1 - sqrt(5)) - (-1*sqrt(135)\/sqrt(3))\/(2*sqrt(9)*2 - sqrt(9)).\nAnswer: -2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (1 - -3) + -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 428541?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 5*z - 0*z + 63, 5*c = -5*z + 150. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -162847, -326076, -490057, -655168, -821787, -990292?\nAnswer: -1161061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 9*g**2 - 9*g + 11. What is the tens digit of t(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -405*h - 522 = 288 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -546 + 1049. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1128*c + 5*c**3 - 1128*c.\nAnswer: 5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 0.5 (c) 23744\/15 (d) 2 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 391648 and 440604.\nAnswer: 3524832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + -2)\/(3\/(-4)). Suppose o = -2*p - 4, 0 = j*o - 5*p - 10 - 0. Suppose -3*n - 5*g + 10 = o, -2*g = -4*n - n + 27. Does 3 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*l = -10*l + 668*l - 75*l + 20055 for l.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -7*n + 32. Let v(p) = 11*p**2 + 5*p - 5. Let o(d) = -17*d**2 - 8*d + 8. Calculate n*v(b) + 5*o(b).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -10185846 divided by -2949?\nAnswer: 3454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 259 - 228. Which is greater: 30 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v + 55. What is x(0)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24377569?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -8*3\/(-6) + -2. Let n = -1 + -1. Which is the biggest value? (a) j (b) -3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -25 in 0.053, 0.3, 2\/7?\nAnswer: 0.053","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4897\/2016 + -1\/2016. Which is smaller: -0.038 or h?\nAnswer: -0.038","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28624734043 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4367698424.20359836 - 4367698502. Let g = 68.7964021 + y. Let j = 9 + g. What is j rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40755 and 81510.\nAnswer: 81510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1599 - -1635. Solve -40*t + 12 = -d*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -93*u**4*v**2 + u**3*v**2 - 4*u**2*v**2 - u**2*v + 3*u**2 wrt u.\nAnswer: -2232*u*v**2 + 6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9813*h + 2960 = -9665*h for h.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -545*j = -495*j + 250 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -258*i + 194*i = -239*i - 9100 for i.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 5*r**2 + 19*r - 4116. Give o(-32).\nAnswer: 396","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 + 138 = 4*p. Let q = p + -59. Suppose 480 = 4*d + q*u, -2*d = 3*u - 2*u - 235. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/((-27)\/(-12)))\/((24282\/324)\/71*-4).\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, a: 3, j: 4, c: 12}. What is prob of picking 3 c?\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3606167.172526 take away 5?\nAnswer: -3606172.172526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 609*j - 172351. Determine w(283).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1656.378 months in millennia?\nAnswer: 0.1380315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -5*o + 8. Let g be j(18). Let l = 97 + g. Suppose -378 = -l*p + 9*p. List the prime factors of p.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/(-18) + 0 + 6528\/(-1836). Let c(h) = -h**2 + h. Let j(s) = 12*s**2 - 3*s. Calculate r*c(k) - j(k).\nAnswer: -8*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2. Let z(j) = -5*j + 30. What is q(z(m))?\nAnswer: 25*m**2 - 300*m + 900","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.37 * 2.8\nAnswer: 1.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 22, 47, 106, 217, 398, 667, 1042?\n\"Answer: 3*j**3 - j**2 + 7*j + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 114470 and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 + 5*u - 2. Let x be h(4). Suppose -x*r - 18 = 2*n, -r + 3 = 2*n + 8. Let y = -8 - r. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.01 or 147?\nAnswer: 147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -0*j - 1. Let t be 308*j\/(-6) - (-4)\/6. What are the prime factors of -8*(2*-1 - (-39)\/t)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11612047 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 685*i**2*v**2 + 20*i**2*v - 10*v wrt v.\nAnswer: 1370*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2067246*p - 91. Let k be x(11). Let f = -8373041 - 4966756. Let b = k - f. What is b rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17204 and 136.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-252)\/(-440) - 12\/15) + 5\/30.\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*t + 738 = 4*w - 2*w, 5*w - 313 = 2*t - 256 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(98) - (-5 + sqrt(98)*3))*4 - ((1 + sqrt(98))*-2 - (3 + -1 + sqrt(98))))**2 + 5.\nAnswer: -1680*sqrt(2) + 3028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3320*r + 1936 wrt r.\nAnswer: 3320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + -15 + 6 + 27 + 13 + -6.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, -18 in descending order.\nAnswer: 4, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/17, -0.14, -4\/5 in decreasing order.\nAnswer: -0.14, -3\/17, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -13*w + 4. Let d(h) = 3*h**2 + h - 22. Let j be d(-4). Let c(k) = -6*k - j + 22 + 7*k. Determine c(y(o)).\nAnswer: -13*o + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 23*p + 15*p = -s, -33*p = 2*s - 37*p + 12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 76\/2835 and -85\/1876446?\nAnswer: 65675610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n + 4. Let z be s(-3). Let f be z*(-1)\/(4\/(-52)). Let x be f\/(((-8)\/(-20))\/2). Calculate the highest common factor of 26 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 11 + 3 = w, 2*w - 3*b - 4 = 0. Let f be (w\/(-3) - -3)*-3. What is the units digit of 1*(9 - (-1 - f))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/7 in -1\/16, -2, 0, 1\/1163?\nAnswer: 1\/1163","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -1.9. Let t = -17 - -15.2. Let z = -2.2 + t. What is the closest to z in y, 4, 0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 - 2*z + 4. Let j be r(0). Let o(v) = j + 0 + v**2 - v**3 + 1 - 4 + 3*v. Calculate o(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h. Let u = 160 - 162. Let k(w) = -w - 1. Let i(q) = u*k(q) + 6*v(q). Give i(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 898.4347 centuries?\nAnswer: 89.84347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7226, -7224, -7222, -7220?\n\"Answer: 2*v - 7228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.055? (a) 1 (b) -0.5 (c) -2\/33 (d) -8464\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11110011110001011110 (base 2) in base 5?\nAnswer: -223422434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4562 by 933.\nAnswer: 4562\/933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5138554 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 4*c + 0 + 4 + 5 as v + y*c and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 42, 54, 66, 78, 90?\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 6:05 AM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8200 + 381*q - 8200.\nAnswer: 381*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -25 and -1961474873927.\nAnswer: -1961474873952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5667*a + 1643 = -5614*a for a.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2804 - -2803.1. Let f = -1 + 1.1. Which is the closest to f? (a) -5 (b) l (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 200\/4*(-8)\/10. Let v = r + 68. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 195\/(-35)*10\/(300\/(-70))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 496 + 433 - 4*v - 895 - 2*v**2 in the form p*v**2 + j*v + i and give i.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -94*a**2 - 4*a.\nAnswer: -2*a*(47*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2. Let h(k) = -61*k. Calculate h(l(b)).\nAnswer: 61*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-4\/5)*y*y)\/y**(-14) assuming y is positive.\nAnswer: y**(81\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 66325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 8) to base 6.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, p: 3, a: 2, v: 1, g: 3, r: 4}. What is prob of sequence rprv?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002391995 rounded to 7 dps?\nAnswer: 0.0002392","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12354, 24705, 37058, 49413, 61770, 74129, 86490?\nAnswer: 98853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -53 < -124557\/2308?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -172*j + 31. List the prime factors of d(-2).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, 2\/7, -3\/4, -11, 0.5 in increasing order.\nAnswer: -11, -3\/2, -3\/4, 2\/7, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -598, -0.1, -0.3, 0 in ascending order.\nAnswer: -598, -0.3, -0.1, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o - 29. Let k be a(19). Let g be (-3)\/(-2) - 15\/k. What is the third derivative of 26*f**g + 36*f**2 + 120 - 120 wrt f?\nAnswer: 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2914.150249 to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -6*n**2 - 102*n - 411. Let p be w(-8). Put p, -22, -4 in descending order.\nAnswer: p, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*m - 22 + 12 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27526115 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 3)*((4 - 1 - 4)*(0 + 0 + d) + (-3*d + 2*d + 3*d)*(-2 + 0 + 0)).\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2591964 and 234?\nAnswer: 33695532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 = -4*i + 5*i. Is 20 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 4 = 2*b, 5*i - 4 = 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuoo when four letters picked without replacement from ocouo?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 + 9*y - 1. Let j be o(5). Let i = -15 - -148. Calculate the greatest common divisor of i and j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -0*l - l. Let f be l\/2*4\/4. What is the units digit of f*2 - 0\/(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 889 = 2*m - 5*m, -5*m - 895 = -4*s. Suppose 3*a - 13*a = -s. Suppose -7*t + 2*t = -320. What is the remainder when t is divided by a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12.3290599 + -12.33. What is g rounded to 4 decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2153393981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 205 + -168. Suppose -11*b - 806 = -p*b. Calculate the remainder when 122 is divided by b.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.6939091 - 12.6939101. Let p = g - -12. Round p to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/162464 and -139\/6528.\nAnswer: 33142656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence awaw when four letters picked without replacement from raraarwrrwrwar?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*s**3 - 2\/3*s + 0*s**2 + 0 - 1\/6*s**4.\nAnswer: -s*(s - 2)**2*(s + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 291192 < 291141?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8599672001 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1460199066?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from seeeeeseeeeseesesee?\nAnswer: 1001\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1274 - 283 = -3*a. Let w = a + -517. Solve -5*r - 35 = w*y, r + 4*y = -0*r - 25 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 PM and 12:04 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/2)\/(3\/2). Let d(u) = 16*u. Let x be d(v). Let p be 1\/(-3) + x\/3. Solve -4*b - 6 = -2*w, -p*w = 2*b - 16 + 37 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 at most -471\/2264?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gdknfdfdd. Give prob of picking 1 k and 1 g.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -335.1 times 1219\nAnswer: -408486.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzpzpzuzppphpplzz. Give prob of sequence hlz.\nAnswer: 7\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -51500*x + 51516*x - 160 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (26\/(-78))\/(2 + 487\/(-243)). Calculate the highest common factor of f and 144.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/10*(2025 - -50). Let i = g + -281. List the prime factors of i.\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*u = -3. Put 3, u, 1 in descending order.\nAnswer: 3, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58809781 is divided by 241.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2085, -1444, -803, -162?\nAnswer: 479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1193ef - -4?\nAnswer: -1193eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*(r**(-5\/4)*r)\/r*r**(-3)*r*(r*r**9*r)\/r*r\/((r\/(r*r\/r**(7\/5)))\/r) assuming r is positive.\nAnswer: r**(187\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -207, -5, 5, 3197, -2 in ascending order.\nAnswer: -207, -5, -2, 5, 3197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -735911 or -735945?\nAnswer: -735911","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -34, 0.3, -1\/5732?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 21*q - 1. Let j(y) = -124*y + 21*y + 106*y. Determine h(j(w)).\nAnswer: 63*w - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1389512?\nAnswer: 2, 17, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 49 + (1 + 2)\/(-3). Let j = n - 34. Let l = 23 + j. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -21. Let x = 9.4 + v. Which is the nearest to -0.1? (a) x (b) -1\/7 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**2 - a - 7*a**2 + 0*a)*(-123*a - 451*a - 83*a) - a**3 + 2*a**3 + a**3 - 4*a**3 + 3*a**3 - a**3.\nAnswer: 2628*a**3 + 657*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -3*y**3 - 105*y**2 - 192*y + 5580 = 0.\nAnswer: -31, -10, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/3381221 and -89\/2135508.\nAnswer: 40574652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 15*y**2. Let n(i) = 3*i**2. What is u(n(t))?\nAnswer: 135*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z - 41. What is j(20)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 35 = 2*d, -4*d - 51 = -7*z + 2*z. Is z bigger than 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2 - 2*i**2 - 4 + 4. Let t be (2 - 7\/5)*5. Let u(w) = 3*w**2 - 2 - w**2 - 3*w**2. What is t*v(r) - 4*u(r)?\nAnswer: -2*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (0 - 0)) + 3 - 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55 + z**3 + 2*z + 55 to the form w*z + a*z**3 + q*z**2 + i and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 316578 is divided by 315?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1027? (a) 2 (b) 0.2 (c) 22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nenn when four letters picked without replacement from {b: 1, n: 4, e: 6}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**5*p)\/p*p)**(12\/5)\/(p\/(p*p\/(p\/(p**(-6\/19)*p)))*p**(-8)) assuming p is positive.\nAnswer: p**(141\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -126.8 take away -3.71821?\nAnswer: -123.08179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/2 (b) -6 (c) -3 (d) -2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2699348?\nAnswer: 2, 674837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4024 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8823664*m + 12434983.\nAnswer: 8823664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 507 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 2*n - 12. Let y(a) = -a - 2. Let s(v) = v - 6. Let i(h) = h - 5. Let k = 22 + -15. Let m(u) = k*i(u) - 6*s(u). What is n*m(r) + 2*y(r)?\nAnswer: r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1200343 (base 5) to base 4\nAnswer: 11113111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 5:17 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3592869 + 6*f**2 - f**2 + 3592869.\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from 6.217.\nAnswer: 3.217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 + 12a5646?\nAnswer: 12a5650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16\/(-6)*6\/(-4). Let o(c) = 76*c - 3. Is o(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 9:21 AM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 5 + -9 - (-735)\/(-10)*-4?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -22*l. Let d(j) = j**3 - 8*j**2 - 11*j + 21. Let g be d(9). Let f(s) = 3*s + g*s - 5*s + 2*s. What is f(w(k))?\nAnswer: -66*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7748094 to the power of 1\/2, to the nearest integer?\nAnswer: 2784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, t: 4, s: 1, y: 2, e: 8}. What is prob of picking 2 m and 1 s?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of -s**6\/10 + 7*s**3\/6 - 15*s**2. Differentiate j(r) wrt r.\nAnswer: -36*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 19, -2, -1\/3, 0.085?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/5 - 480\/1200. Is c less than 19\/286?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/27 and 71\/78.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 61.22 + -61.25343. Let w = 0.035 + i. Round w to 4 decimal places.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*4*-3*sqrt(1715))\/(sqrt(15)\/sqrt(243) + -5*sqrt(80)).\nAnswer: -2268*sqrt(7)\/179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 5*x - 1. Let u(o) = -o**3 - 6*o**2 + 8*o + 9. Let z be u(-7). Let p(g) = 2*g - 2*g + g**z. Let k be p(1). What is b(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**7\/f**11)**(-2\/53) assuming f is positive.\nAnswer: f**(8\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9708874 nanograms to kilograms.\nAnswer: 0.0000000000009708874","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20.227 + -22.227. Let x = 2\/937 - -4669\/7496. Let d = -9\/40 + x. What is the third biggest value in b, d, 4, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of -q**3\/6 - 2*q**2 + q. Let w be p(0). Suppose -30*v - 37 + 16 = -111. What is the nearest to -7 in w, v, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**4 + t - t)*(5 + 2 - 1)*((-1 + 3 - 4)*(-4*t + 3*t - t) + 0*t - 4*t + 3*t).\nAnswer: -36*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2018 a factor of 15964398?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) 107 (c) -2 (d) -1\/4 (e) -7 (f) -0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/(-168)*1\/(-2)*(4 + -2)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, l: 1, n: 1, f: 2}. What is prob of sequence fnxf?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 4*n = -5*r + 22, -n - 3*r = -16. Let w(m) be the third derivative of m**4\/6 - 3*m**3\/2 + 2*m**2 + 9455*m. What is w(n)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 8:03 PM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2*k = 40. Calculate the remainder when 23 is divided by ((-2)\/10 - -1)*k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + x + 4*b = 38, b - 52 = -3*x. What is the greatest common divisor of x and 136?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-677 - -1)\/(-4) + -3. Calculate the common denominator of 53\/22 and (-7)\/(-14)*c\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 5*n + 11 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a. Let b(v) = 2*v**2 + v + 9. Let i be b(0). Suppose -8*t + i = -11*t. What is y(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31 - -113331?\nAnswer: 113300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.6 - 5.6. Let j = -300.1 - -300. What is the second biggest value in -1, l, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 11:06 PM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4*l + 25 = 4*w, 0 = 3*w + l - 13. Let q be w - 3\/(6\/(-52)). Let h = q + -14. Solve 2*f = 7*f + 15, 3*f = 3*b - h for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2729597 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -100745184 divided by 3?\nAnswer: -33581728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -77 + 108. Suppose -4*b - l = -5*b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + -2 + 1 + sqrt(1872) + sqrt(1872) + 4*sqrt(1872)*-2*3)*1 + 0 + 2)**2.\nAnswer: 906048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -138, -45, 70, 207, 366, 547?\n\"Answer: 11*g**2 + 60*g - 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 143100 and 180360.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gp when two letters picked without replacement from {o: 5, d: 1, q: 1, g: 3, p: 2}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = -2*w + 18. Let b = -37 - w. What are the prime factors of b?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x + x + 2*x)*(2 - 1 + 2)*(3 - 3 - 4) - 2*x - x + x.\nAnswer: 10*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.47 - 0.5. Let u = -0.04 + 0.01. Let z = u - q. Is 0 at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*o**2 + 3*o**3 - 4*o**2 + (-o + 6*o - 3*o)*(-4*o**2 + 3*o**2 + 2*o**2) + 4*o - 4*o + o**3 + 36*o**3 - 11*o + 11*o.\nAnswer: 42*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.5 less than or equal to 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (18\/(-15))\/((-6)\/220) is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 851.8752 hours?\nAnswer: 3066750720000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -1\/2 (b) -26 (c) -2 (d) -122 (e) -0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -6*s + 10. What is the nearest to 17 in -1, s, -2\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 170280 and 110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00063443543 to 6 dps.\nAnswer: 0.000634","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000000101000100000000101 + 1011?\nAnswer: -10000000101000011111111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 1152*n**3 + 1031*n**2 - 5*n + 4. Let f(i) = 2*i**3 + i**2 - i + 1. Let d(y) = 4*f(y) - t(y). What is the third derivative of d(w) wrt w?\nAnswer: -6864","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*6\/(-9)*(-14)\/(-2)*72750\/(-10500).\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 5:27 PM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.067 + 17.067. Let d = f + -17.6. What is the nearest to 2\/5 in 4, d, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 + -1)*(-375)\/15375\nAnswer: -4\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.2 (b) 5 (c) 0.6 (d) -2817\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10 * 40.\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7604119 by 7627.\nAnswer: 997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80040670 and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1659*i + 5*r - 85 = 1656*i, -4*i + 2*r = 60 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - 2*s - 2*s)*(-3 - 2 + 4) + (1 - s - 1)*(-2 + 0 + 4).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 272363605 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -18.0688 times 0.34\nAnswer: -6.143392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1435738*p**2 + 5511532*p wrt p?\nAnswer: -2871476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11372?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 7 (b) 13 (c) 741\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 - 7*u**2 + 7*u - 2. Let f = 9 - 7. Calculate the remainder when n(-8) is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h**2 - 25*h - 12. Let x be v(-12). Solve x*z - 2 = -z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 2845?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33 + -22. Solve 0 = -3*i + 1 + j for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - ((-10)\/(-5) + -4). Let k be (45\/390*13)\/((-2)\/4). Put -4, t, -1, k in decreasing order.\nAnswer: t, -1, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 4\/5. Let o = -0.6 - -0.6. Which is the nearest to o? (a) w (b) 0.4 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 1. Suppose 0 = c - 0 - 5, c + 85 = 5*k. Calculate the remainder when ((-7)\/g)\/(2\/(-20)) is divided by k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5375638, -5375649, -5375662, -5375677?\n\"Answer: -v**2 - 8*v - 5375629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -266.2 - -266. Sort c, -2\/3, -11.\nAnswer: -11, -2\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2483?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3\/7, 4, -2.6, 2.1, -22, -4\/3?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.61739cm in nanometers?\nAnswer: 466173900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-3 + (-329)\/(-105))*(-25)\/1875*-10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -5*q - z - 4*z, -2*q = -5*z + 11 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y**2. Let d be 210\/12 - (-3)\/(-2). Let o = d - 10. Let v(x) = -3*x + x + 3*x - o*x. Determine v(g(k)).\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 1. Let x(y) = y. Let r(j) = 5*j. Let h(v) = -r(v) + 4*x(v). Let s(o) = o**2 + 5*o + 9. Let u(m) = -4*h(m) - s(m). Calculate u(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 6 = -3*z + z, 2*z - 3 = -f for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**2 + 3*t + 1. Let x(h) = -h + 8. Let c be x(6). Suppose -w - 3*y - 21 = c*w, -3*y = -5*w - 3. What is g(w)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/186 and -11\/4788.\nAnswer: 148428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -131.551, 1.3, -18 in descending order.\nAnswer: 1.3, 2\/5, -18, -131.551","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 24 + -2464?\nAnswer: -2440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/11 in 8.9, 0.3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 960 and 864?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + 1102013200?\nAnswer: 1102013143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15012, -14999, -14976, -14937, -14876, -14787, -14664, -14501?\nAnswer: -14292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -392*t**2. Let m(c) = -40*c + 1. Determine s(m(o)).\nAnswer: -627200*o**2 + 31360*o - 392","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.03 in 0.5, -0.5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1.9 (b) 2\/39 (c) -421\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of 568*x**7\/105 + 37*x**5\/20 - x**4\/2 - 2*x**2 - 1776*x. Find the third derivative of k(u) wrt u.\nAnswer: 27264*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5\/2)\/(-2 + (-20)\/(-8)). Suppose 5*v = -a + 169, x*v - 2*v - 823 = -5*a. Is 8 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/4, 15, 0.7, -86.6?\nAnswer: -86.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -40303300 (base 5) to base 14\nAnswer: -85673","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + 12*v**2 + 13*v + 22. Let l be w(-11). Solve l = -x - k, -k = 2*x + 3*x + 16 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffffpffpffpfff. What is prob of picking 2 f?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8764020?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(342)*-2)\/sqrt(6))\/(sqrt(1296)\/sqrt(12) + sqrt(3)))**2 + ((-5*(sqrt(114) + -1*sqrt(114)))\/(sqrt(36)\/(sqrt(12)\/sqrt(2))))**2.\nAnswer: 76\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30700 + 132111. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28399*v + 28652*v - 239*v + 2.\nAnswer: 14*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 0*g - 42 = 0. Let n = g - -4. What is the units digit of ((-12)\/n)\/((-12)\/(-80))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6343*z = 6369*z - 78. Let r(d) be the first derivative of -4\/3*d**z - 8*d + d**4 + 4\/15*d**5 - 14 - 22\/3*d**2. Suppose r(x) = 0. What is x?\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 17*v**3 - 772*v**2 + 10*v + 39. Let r(f) = 6*f**3 - 257*f**2 + 4*f + 14. Give 4*c(h) - 11*r(h).\nAnswer: 2*h**3 - 261*h**2 - 4*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.031, 0.12, -6 in ascending order.\nAnswer: -6, 0.031, 0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5*(-1 - 0)*(-69)\/3. Let w(h) = -2*h**3 - 2*h**2 + 3*h + 5. Let s be w(-5). Let g = s + n. What is the remainder when g is divided by 21?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2)*(2*s**3 - 3*s**3 - s**3)*(951 + 1012 - 253).\nAnswer: 6840*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95)*-3 - sqrt(95))*-1 + (-2*4*sqrt(95) - sqrt(95)))\/(4*(sqrt(80) - (sqrt(80) - (sqrt(80) - 5*sqrt(80))*-1))).\nAnswer: -5*sqrt(19)\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-959)\/1370*(-16)\/14. Which is the nearest to 468? (a) -2 (b) 0.4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, z: 11}. Give prob of picking 3 z.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6065705 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(2) - -1*sqrt(2))*2 - (-2*sqrt(2)*3 + sqrt(18) + -2))**2 + -2.\nAnswer: -52*sqrt(2) + 340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 3*f + 2. Let o(b) = b + 1. Let t be -24*(12\/18 + (-2)\/12). Let y = t + 23. Suppose -y = 3*r + 5*g, 4*r - 6*r = -g + 16. What is r*o(n) + 3*w(n)?\nAnswer: 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*i - 9*i - 3803 - 6871. Does 11 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 14 - 4 - 2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*l**2 - 19457*l**3 + 9728*l**3 + 9738*l**3 to g + r*l + n*l**2 + a*l**3 and give n.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, 1\/4, 55, -4\/9, 0?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - 199228.4.\nAnswer: -199228.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2111879 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 7 = 3*w. Suppose -s - w = -7. Suppose -s*q + 5*q - 10 = 0. Put -4, -5, q in ascending order.\nAnswer: -5, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b - 43 - 89 = 0. Solve -b*y = -10*y - 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - 16*r**2 - 4*r + 21. What is l(16)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dgdhdgdggdd. Give prob of sequence ddd.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 16525.17 tonnes?\nAnswer: 16525170000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2070\/1196)\/((-3)\/91*-14)\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - (76\/(-2) - 3). Let s = c + -26. What is the remainder when s is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*u - 6*u - 2. Suppose 0 = -4*f + w + 3228, 0 = -9*w + 5*w + 16. Suppose -u*r = 2*r - f. What are the prime factors of r?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 2*i = -30, 2*i - 12 = -5*h + 26. Let m = h + 1. Is m a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -1)\/(39\/(390\/100))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -x - 0 - 9, -3*x = 12 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 8*f - 17 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 805 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/3*-1*(-16)\/(-8)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6525306 + -1?\nAnswer: -6525307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81888 + 39*l**3 - 81888.\nAnswer: 39*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, a: 18}. Give prob of sequence ayaa.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.215 times -0.2?\nAnswer: -0.843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - 8*v - 2. Let k be x(9). Let q = k - 2. Suppose 3*g + q*b = 19, 2*b - 1 = -3*g + 12. Solve -2*n + 5 = g for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**4 + 1063296*y**3 - 94215468663*y**2 - 188435190534*y.\nAnswer: -3*y*(y - 177217)**2*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100 divided by -4.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11.46 and -0.24306.\nAnswer: -2.7854676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 7, 0.3 in decreasing order.\nAnswer: 7, 0.3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 3 + j)*(-3 - 1 + 6) + 0*j + 0*j + 2*j)*(-11 - 33 - 15)*(2 + 3 - 3).\nAnswer: -472*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 273 - 247. Suppose -10*i = -46 + k. What is the highest common factor of 10 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 56\/10*275\/22. Suppose b = 12*y - 5*y. Calculate the greatest common divisor of 8 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7301177 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 5*d + 13 = 0, -3*g = 4*d - 45 + 16 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of -x**6\/120 + 7*x**5\/60 - x**4\/8 + 23*x**2. Determine h(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 319, 321, 323?\nAnswer: 325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-1 - -3) - -3. Suppose 1214 = -p*w - 2146. Round w to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -4, -2\/407, 0.4, 3?\nAnswer: -2\/407","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/5? (a) -2\/13 (b) 0.04 (c) 11 (d) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f**2 + 6*f - 33. Let z be o(5). Let i = z - -209. Calculate the greatest common factor of 12 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - -2 - 35\/(-7) - 1230\/135)*-2. Factor a*u**2 + 0 - 28\/9*u.\nAnswer: 2*u*(u - 14)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = 5*u - 3*g - 36, -5*u + 17 = -6*g for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (5 + 43\/(-2))\/(1755\/(-420)).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3633076 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 15 - (34 + 20) - ((-1 - -2) + (-2 - -14))\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 5*q**2 + 4*q + 3. Let d be m(4). Calculate the greatest common factor of d and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (5*(sqrt(190) + sqrt(190) + (sqrt(190) - (sqrt(190) - (3*sqrt(190) + sqrt(190))))) + sqrt(190) - sqrt(190))\/sqrt(10))**2.\nAnswer: -120*sqrt(19) + 17104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68437?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 + -94\/5. Let l = -38.05 + 24.05. Which is the third biggest value? (a) l (b) -3\/11 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 334480 and 565.\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gk when two letters picked without replacement from {k: 3, z: 1, f: 1, x: 1, g: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**3\/15 + 62964*a**2\/5 - 1133414*a\/15 + 62968 = 0. Calculate a.\nAnswer: -94452, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3256 and 26852?\nAnswer: 21857528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3780431*d**3*o - d**3 + 23*d**2 - 94*d + 12 wrt o.\nAnswer: 3780431*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -120203 (base 5) in base 9?\nAnswer: -6060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1715334 and 724404.\nAnswer: 6834","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 - 2. Let m(p) = -2*p**3 - 15*p**2 + p + 5. Is m(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 53.00915l?\nAnswer: 53009.15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1070314 and 8722.\nAnswer: 1246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73344835586 + 71.\nAnswer: -73344835515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a = -4*a + 1979 - 7427. Is 2 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2021112 (base 3) to base 10.\nAnswer: 1661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2 + sqrt(13)) + -1.\nAnswer: -3*sqrt(13) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4006*m - 4021*m - 58*m**3 + 22*m**3 + 8027*m.\nAnswer: -36*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 1\/3 (b) 1 (c) 12\/5 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8455 and 1405221?\nAnswer: 1691","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240*g + 235*g + 12551470 = 0. Let f = 1460294 - g. Round f to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*(1 + 20\/8). Suppose 75 = -2*z + b*z. Is z a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of -s**7\/945 - s**6\/405 - s**5\/540 + 2*s**3\/3 + 10*s - 3. Let n(f) be the third derivative of t(f). Factor n(x).\nAnswer: -2*x*(2*x + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66410674 divided by 3018667?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 38002952.\nAnswer: 1\/9500738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/216 and -83\/108.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 28 = -7*s + 11*s, s + 9 = -2*u. Sort -3, u, -4, 5.\nAnswer: -4, -3, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1334, 3532, 7222, 12404?\nAnswer: 19078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6742 + -6736. Let n(q) = -11*q - 1. Let k(a) = -10*a - 2. Determine i*n(s) - 4*k(s).\nAnswer: -26*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -422968 divided by 8\nAnswer: -52871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 129267, 129243, 129197, 129123, 129015, 128867, 128673?\n\"Answer: -x**3 - 5*x**2 - 2*x + 129275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4172\/1971 <= 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1469 + -412. Does 36 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -313 + 4324?\nAnswer: 4011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 9. Let d = q + -0.1. Let v(y) = y**3 + 7*y**2 - 7*y + 11. Let b be v(-8). What is the nearest to d in -2\/13, 4, b?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2411, 2421, 2431?\nAnswer: 2441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1156*a*j + 2*a*y - 234326*a + 80*j*y - 6*j wrt j?\nAnswer: -1156*a + 80*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 11814 = -4*f + 568, -5*d + 30963 = 2*f. What is the greatest common factor of 22 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1681695, 1681686, 1681683, 1681686, 1681695?\nAnswer: 1681710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z - 3. Let c be g(2). What is the common denominator of 228\/14*c\/(-4) and 17\/20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a6 - 38a?\nAnswer: -2e4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2371176137 a multiple of 847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1467\/4 - -2875\/8. Find the common denominator of u and -1\/5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -80482 (base 10) to base 9.\nAnswer: -132354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -86, -174, -262, -350, -438, -526?\nAnswer: -614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*v**4 + 9*v**3 + 560*v**2 wrt v.\nAnswer: 360*v + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (1 + sqrt(612) + 2 + -5 - (-2 + (sqrt(612) - 1*sqrt(612)))*6) + 3)**2.\nAnswer: 216*sqrt(17) + 936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 32668457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 6*x**2 + 4*x + 2. What is the remainder when y(-4) is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1311 and 4881727.\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from 7593.\nAnswer: 7597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 253 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g + 6. Let l be j(0). Suppose 4*u = l*z - 2*z + 12, 1 = u + z. Are u and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 0*g. Let s(i) = i**2 + 9*i + 10. Let o be s(-8). Let c be (-6)\/(-10) + -3 + o. What is the nearest to c in g, 1\/3, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 12:28 PM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-23)\/56 - ((-100)\/(-35))\/(-10). Let g = 3.6 - 4. Which is the third smallest value? (a) v (b) -0.3 (c) g (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 + 3*i - 12. Let f be n(3). Let z be (-4)\/(-10)*(-3)\/f. Let r = 1 - 1.01. Sort z, 3, r.\nAnswer: z, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000622412029 to 7 decimal places.\nAnswer: -0.0000622","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, o: 8, r: 1, x: 6}. Give prob of sequence ro.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 - 13. Suppose -4 = -m + 19. Calculate the remainder when m is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by 25.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 0*g - 4 = 0. Let j(n) = g - n - n**3 - 7*n**2 - 2*n + 2*n**2 + 0*n**2. What is j(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 120\/160 - (18\/12 - 18)\nAnswer: 69\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1 - 3)\/(-6))\/(10\/120).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1764 and 1953.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2796263860?\nAnswer: 2, 5, 13, 31, 26687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 76a34 (base 11) to base 3\nAnswer: 12200020210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 2 - 2)*(2*p**2 - p + p) + (1 - 4*p + 2*p + 1)*(2*p**2 - 16*p**2 - 5*p**2 + 1).\nAnswer: 34*p**3 - 38*p**2 - 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 3*t**2 - t - 4. Let r = 333 + -331. Let h be v(r). Solve -5*z = -2*z + h for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177241501 is divided by 4966.\nAnswer: 4961","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22976359 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 236995776721 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3655852, -3655974, -3656096, -3656218?\n\"Answer: -122*h - 3655730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of -13*d**5\/5 - d**4\/12 + 172*d**3\/3 - 78*d**2. What is the derivative of m(h) wrt h?\nAnswer: -312*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of r**5\/20 - 19*r**4\/12 - r**3\/6 + 21*r**2\/2 + 34*r. What is the least common multiple of 64\/6 - (-1)\/3 and b(19)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -7*p + 2*p - 102, 0 = 4*o + 4*p - 312. Let v = o + -11. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 4*q**3 - 9 - 5*q**3 + 12*q**2 - q**2 + 2. Let d be l(11). Let c(i) = -2*i + 6. Let b be c(d). Calculate the highest common factor of 4 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 88 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -335132*f**3 + f + 1. Let x be y(-2). Suppose 5*a - 4900003 = g, 3*a - g - 258948 - x = 0. Round a to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 7681 and 7679 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -1189879.427 to the nearest one hundred.\nAnswer: -1189900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -962 * 118\nAnswer: -113516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 134988 + -2?\nAnswer: 134986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -145105\/24 - -6048. Calculate the common denominator of k and 61\/204.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 7 - 6 - 6*q**2.\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 24243 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8804841641.\nAnswer: 29, 37, 8205817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -14145, -28378, -42609, -56838, -71065, -85290, -99513?\n\"Answer: x**2 - 14236*x + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3*w**2 - 2*w + 6. Let j(n) = n**3 + 4*n**2 + 4*n + 3. Let h be j(-2). Let b be i(h). What is the greatest common factor of b and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -870147, -870137, -870127?\n\"Answer: 10*y - 870157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}